BIOLOGY

NEET Biology Formula Sheet

A curated, chapter-wise reference of Biology formulas, optimized for NEET preparation. Download printable PDF sheets for offline study.

1. The Living World

Taxonomic Hierarchy & Nomenclature

Taxonomic Categories (Obligate Hierarchy)

N
KingdomPhylum/DivisionClassOrderFamilyGenusSpecies\text{Kingdom} \to \text{Phylum/Division} \to \text{Class} \to \text{Order} \to \text{Family} \to \text{Genus} \to \text{Species}
Parameters & Definitions

Each level is a taxon. Species is the basic unit of classification. Binomial nomenclature assigns a two-part Latin name: Genus + species epithet\text{Genus + species epithet} (e.g., Homo sapiens\textit{Homo sapiens}).

The mandatory sequence of taxonomic ranks used in biological classification from broadest to most specific.

2. Biological Classification

Five Kingdom Classification

Whittaker's Five Kingdoms

N
5 Kingdoms={Monera, Protista, Fungi, Plantae, Animalia}\text{5 Kingdoms} = \{ \text{Monera, Protista, Fungi, Plantae, Animalia} \}
Criteria={Cell structure, Thallus org., Nutrition, Reproduction, Phylogeny}\text{Criteria} = \{ \text{Cell structure, Thallus org., Nutrition, Reproduction, Phylogeny} \}
Parameters & Definitions

Monera: prokaryotes (bacteria, cyanobacteria); Protista: unicellular eukaryotes; Fungi: heterotrophic, cell wall of chitin; Plantae: autotrophic, cell wall of cellulose; Animalia: heterotrophic, no cell wall.

R.H. Whittaker's classification scheme based on cell structure, body organisation, mode of nutrition, reproduction, and phylogenetic relationships.

3. Cell: The Unit of Life

Cell Dimensions & Resolution

Resolving Power of Microscopes

N
d=0.61λnsinθd = \frac{0.61 \lambda}{n \sin \theta}
Human eye resolution100μm\text{Human eye resolution} \approx 100 \, \mu\text{m}
Light microscope0.2μm\text{Light microscope} \approx 0.2 \, \mu\text{m}
Electron microscope0.2nm\text{Electron microscope} \approx 0.2 \, \text{nm}
Parameters & Definitions

dd is the resolving power (limit of resolution), λ\lambda is the wavelength of light/electron beam, nn is the refractive index, θ\theta is the half-angle of the cone of light entering the objective.

The minimum distance between two points that can be distinguished as separate. Determines visibility of cellular structures.

Fluid Mosaic Model of Membrane

Membrane Lipid-Protein Ratio

N
Protein : Lipid ratio52%:40%\text{Protein : Lipid ratio} \approx 52\% : 40\%
Carbohydrates8%\text{Carbohydrates} \approx 8\%
Parameters & Definitions

Human erythrocyte membrane. Lipids include phospholipids, cholesterol, and glycolipids. Integral proteins span the membrane; peripheral proteins are on the surface.

The composition of the plasma membrane varies between cell types — erythrocyte membranes are commonly used in NEET questions.

4. Biomolecules

Enzyme Kinetics

Michaelis-Menten Equation

N
V=Vmax[S]Km+[S]V = \frac{V_{\max} [S]}{K_m + [S]}
At [S]=Km,V=Vmax2\text{At } [S] = K_m, \quad V = \frac{V_{\max}}{2}
Parameters & Definitions

VV is the reaction velocity; VmaxV_{\max} is the maximum reaction velocity at substrate saturation; [S][S] is the substrate concentration; KmK_m is the Michaelis constant (substrate conc. at half VmaxV_{\max}). Lower KmK_m means higher enzyme-substrate affinity.

Relates the velocity of an enzyme-catalyzed reaction to substrate concentration.

Enzyme Turnover Number

N
kcat=Vmax[ET]k_{\text{cat}} = \frac{V_{\max}}{[E_T]}
Carbonic anhydrase: kcat36×106 s1\text{Carbonic anhydrase: } k_{\text{cat}} \approx 36 \times 10^6 \text{ s}^{-1}
Parameters & Definitions

kcatk_{\text{cat}} is the catalytic constant (turnover number); VmaxV_{\max} is maximum velocity; [ET][E_T] is the total enzyme concentration. Carbonic anhydrase is one of the fastest known enzymes.

The number of substrate molecules converted to product per enzyme molecule per second at saturation.

Amino Acids & Protein Structure

Peptide Bond & Water Release

N
Peptide bonds=n1\text{Peptide bonds} = n - 1
Water molecules released=n1\text{Water molecules released} = n - 1
Parameters & Definitions

nn is the number of amino acid residues in the polypeptide chain. Each peptide bond (–CO–NH–) is formed by a dehydration/condensation reaction releasing one water molecule.

The number of peptide bonds and water molecules released during polypeptide synthesis from amino acids.

Nucleic Acid Calculations

Phosphodiester & Hydrogen Bonds in DNA

N
Total H-bonds=2(A)+3(G)(or 2T+3C)\text{Total H-bonds} = 2(A) + 3(G) \quad \text{(or } 2T + 3C\text{)}
Phosphodiester bonds (per strand)=N1\text{Phosphodiester bonds (per strand)} = N - 1
Total Phosphodiester bonds (dsDNA)=2(N1)\text{Total Phosphodiester bonds (dsDNA)} = 2(N - 1)
Total nucleotides (dsDNA)=2N\text{Total nucleotides (dsDNA)} = 2N
Parameters & Definitions

AA, TT, GG, CC are the number of Adenine, Thymine, Guanine, Cytosine bases; NN is the number of base pairs; A–T pairs have 2 hydrogen bonds; G–C pairs have 3 hydrogen bonds.

Formulas to calculate total bonds in a double-stranded DNA molecule from its base pair composition.

5. Cell Cycle and Cell Division

Cell Cycle Phases & Duration

Cell Cycle Phase Duration

N
tcell cycle=tG1+tS+tG2+tMt_{\text{cell cycle}} = t_{G_1} + t_S + t_{G_2} + t_M
tG111 hr,tS8 hr,tG24 hr,tM1 hrt_{G_1} \approx 11 \text{ hr}, \quad t_S \approx 8 \text{ hr}, \quad t_{G_2} \approx 4 \text{ hr}, \quad t_M \approx 1 \text{ hr}
Interphase=G1+S+G295% of cell cycle\text{Interphase} = G_1 + S + G_2 \approx 95\% \text{ of cell cycle}
Parameters & Definitions

G1G_1 is the first gap phase (growth); SS is the synthesis phase (DNA replication); G2G_2 is the second gap phase; MM is mitosis. Interphase accounts for approximately 95% of the total cell cycle duration.

Approximate time distribution across cell cycle phases in a typical human cell (~24 hr cycle).

Mitotic & Meiotic Division Calculations

Cell Division Number Formulas

N
Cells after n mitotic divisions=2n\text{Cells after } n \text{ mitotic divisions} = 2^n
Mitotic divisions needed for N cells=N1\text{Mitotic divisions needed for } N \text{ cells} = N - 1
Gametes from n meiotic divisions=4n (spermatogenesis)\text{Gametes from } n \text{ meiotic divisions} = 4n \text{ (spermatogenesis)}
Ova from n meiotic divisions=n (oogenesis)\text{Ova from } n \text{ meiotic divisions} = n \text{ (oogenesis)}
Parameters & Definitions

nn is the number of divisions (mitotic) or the number of primary cells undergoing meiosis. In spermatogenesis, 1 primary spermatocyte yields 4 sperms. In oogenesis, 1 primary oocyte yields 1 ovum + 3 polar bodies.

Formulas to calculate daughter cells produced after multiple rounds of mitosis or meiosis.

DNA Content Changes During Division

N
G1 phase:2n,2C\text{G}_1 \text{ phase}: 2n, 2C
After S phase:2n,4C\text{After S phase}: 2n, 4C
After Mitosis:2n,2C\text{After Mitosis}: 2n, 2C
After Meiosis I:n,2C\text{After Meiosis I}: n, 2C
After Meiosis II:n,C\text{After Meiosis II}: n, C
Parameters & Definitions

nn represents the haploid chromosome number; CC represents the haploid DNA content. 2n2n = diploid, 2C2C = DNA amount in a diploid G1 cell, 4C4C = DNA amount after S phase replication.

Tracking chromosome number (n) and DNA content (C) across mitosis and meiosis stages.

6. Plant Physiology

Water Potential & Osmosis

Water Potential Components

N
Ψw=Ψs+Ψp\Psi_w = \Psi_s + \Psi_p
Ψs=iCRT(Van’t Hoff Equation for osmotic pressure)\Psi_s = -iCRT \quad \text{(Van't Hoff Equation for osmotic pressure)}
DPD=OPTP\text{DPD} = \text{OP} - \text{TP}
Parameters & Definitions

Ψw\Psi_w is water potential; Ψs\Psi_s is solute/osmotic potential (always negative); Ψp\Psi_p is pressure/turgor potential; ii is ionization constant; CC is molar concentration; RR is gas constant; TT is absolute temperature. DPD = Diffusion Pressure Deficit; OP = Osmotic Pressure; TP = Turgor Pressure.

The water potential of a cell determines the direction of water movement between cells and from the soil into plant roots.

Plasmolysis Conditions

N
Hypotonic: Ψsolution>Ψcell    Endosmosis (cell swells)\text{Hypotonic: } \Psi_{\text{solution}} > \Psi_{\text{cell}} \implies \text{Endosmosis (cell swells)}
Hypertonic: Ψsolution<Ψcell    Exosmosis (plasmolysis)\text{Hypertonic: } \Psi_{\text{solution}} < \Psi_{\text{cell}} \implies \text{Exosmosis (plasmolysis)}
Isotonic: Ψsolution=Ψcell    Flaccid (no net movement)\text{Isotonic: } \Psi_{\text{solution}} = \Psi_{\text{cell}} \implies \text{Flaccid (no net movement)}
Parameters & Definitions

Ψsolution\Psi_{\text{solution}} is the water potential of the external solution; Ψcell\Psi_{\text{cell}} is the water potential of the cell sap. Incipient plasmolysis occurs when turgor pressure (Ψp\Psi_p) = 0.

Conditions for a plant cell in different solution types — determining water movement by comparing osmotic potentials.

Photosynthesis

Overall Equation of Photosynthesis

N
6CO2+12H2OhνC6H12O6+6H2O+6O26\text{CO}_2 + 12\text{H}_2\text{O} \xrightarrow{h\nu} \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{H}_2\text{O} + 6\text{O}_2
Quantum yield=molecules of O2 evolvedquanta of light absorbed=18\text{Quantum yield} = \frac{\text{molecules of O}_2 \text{ evolved}}{\text{quanta of light absorbed}} = \frac{1}{8}
Parameters & Definitions

hνh\nu represents light energy (photons); 12 water molecules are the source of oxygen (6O26\text{O}_2); C6H12O6\text{C}_6\text{H}_{12}\text{O}_6 is glucose. Minimum 8 photons required to release 1 molecule of O2\text{O}_2.

The balanced chemical equation for the overall process of photosynthesis in green plants.

ATP & NADPH Balance in Light Reactions

N
2H2O4H++4e+O2(Photolysis of Water)2\text{H}_2\text{O} \to 4\text{H}^+ + 4e^- + \text{O}_2 \quad \text{(Photolysis of Water)}
Non-cyclic: 12H2O12NADPH+18ATP (for fixing 6 CO2)\text{Non-cyclic: } 12\text{H}_2\text{O} \to 12\text{NADPH} + 18\text{ATP (for fixing 6 CO}_2\text{)}
Cyclic: only ATP produced, no NADPH, no O2 evolved\text{Cyclic: only ATP produced, no NADPH, no O}_2 \text{ evolved}
Parameters & Definitions

Non-cyclic photophosphorylation involves both PS I and PS II. Cyclic photophosphorylation involves only PS I and produces ATP only. The Calvin cycle requires 18 ATP and 12 NADPH to fix 6 CO₂ into 1 glucose.

Products generated per molecule of water split and per O₂ evolved during the light-dependent reactions.

Calvin Cycle (C₃ Pathway) Requirements

N
For 1 glucose (6 CO2 fixed):\text{For 1 glucose (6 CO}_2 \text{ fixed):}
ATP required=18\text{ATP required} = 18
NADPH required=12\text{NADPH required} = 12
Per CO2 fixed: 3 ATP + 2 NADPH\text{Per CO}_2 \text{ fixed: 3 ATP + 2 NADPH}
Parameters & Definitions

The Calvin cycle has 3 stages: Carbon fixation (RuBisCO), Reduction, and Regeneration of RuBP. For each CO₂ fixed, 3 ATP and 2 NADPH are consumed. Net product for 6 turns = 1 glucose (G3P).

The total ATP and NADPH consumed in the Calvin cycle for the synthesis of one molecule of glucose.

CO₂ Compensation Point

N
At compensation point: Rate of photosynthesis=Rate of respiration\text{At compensation point: Rate of photosynthesis} = \text{Rate of respiration}
Net CO2 exchange=0\text{Net CO}_2 \text{ exchange} = 0
C3 plants: compensation point25-100 ppm CO2\text{C}_3 \text{ plants: compensation point} \approx 25\text{-}100 \text{ ppm CO}_2
C4 plants: compensation point0-10 ppm CO2\text{C}_4 \text{ plants: compensation point} \approx 0\text{-}10 \text{ ppm CO}_2
Parameters & Definitions

C₃ plants have higher compensation point due to photorespiration losses. C₄ plants have a CO₂-concentrating mechanism (Hatch-Slack pathway) that virtually eliminates photorespiration.

The CO₂ concentration at which the rate of photosynthesis exactly equals the rate of respiration.

Cellular Respiration & ATP Yield

Overall Equation of Aerobic Respiration

N
C6H12O6+6O26CO2+6H2O+Energy\text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \to 6\text{CO}_2 + 6\text{H}_2\text{O} + \text{Energy}
Net ATP yield (theoretical max)=36 or 38 ATP\text{Net ATP yield (theoretical max)} = 36 \text{ or } 38 \text{ ATP}
Net ATP yield (revised estimate)30 or 32 ATP\text{Net ATP yield (revised estimate)} \approx 30 \text{ or } 32 \text{ ATP}
Parameters & Definitions

36 ATP if malate-aspartate shuttle is used (in heart/liver); 38 ATP is the older estimate. The revised estimate of 30–32 accounts for the actual H⁺/ATP ratio across the inner mitochondrial membrane.

The complete balanced equation and net ATP yield from oxidation of one glucose molecule.

Stage-wise ATP Balance Sheet

N
Glycolysis: 2 ATP+2 NADH(net, in cytoplasm)\text{Glycolysis: } 2 \text{ ATP} + 2 \text{ NADH} \quad (\text{net, in cytoplasm})
PyruvateAcetyl CoA: 2 NADH\text{Pyruvate} \to \text{Acetyl CoA: } 2 \text{ NADH}
Krebs Cycle (×2)2 ATP+6 NADH+2 FADH2\text{Krebs Cycle } (\times 2)\text{: } 2 \text{ ATP} + 6 \text{ NADH} + 2 \text{ FADH}_2
ETC: 1 NADH2.5 ATP,1 FADH21.5 ATP\text{ETC: } 1 \text{ NADH} \to 2.5 \text{ ATP}, \quad 1 \text{ FADH}_2 \to 1.5 \text{ ATP}
Total NADH=10,Total FADH2=2\text{Total NADH} = 10, \quad \text{Total FADH}_2 = 2
Parameters & Definitions

Glycolysis occurs in cytoplasm; Krebs cycle and ETC in mitochondria. 10 NADH × 2.5 = 25 ATP; 2 FADH₂ × 1.5 = 3 ATP; 4 substrate-level ATP. Total ≈ 32 ATP (revised).

ATP, NADH, and FADH₂ generated at each stage of aerobic respiration of one glucose.

Respiratory Quotient (RQ)

N
RQ=Volume of CO2 releasedVolume of O2 consumed\text{RQ} = \frac{\text{Volume of CO}_2 \text{ released}}{\text{Volume of O}_2 \text{ consumed}}
Carbohydrates: RQ=1.0\text{Carbohydrates: RQ} = 1.0
Fats: RQ0.7\text{Fats: RQ} \approx 0.7
Proteins: RQ0.8\text{Proteins: RQ} \approx 0.8
Organic acids: RQ>1.0\text{Organic acids: RQ} > 1.0
Parameters & Definitions

RQ indicates the type of substrate being respired. Carbohydrates give RQ = 1 (balanced exchange). Fats need more O₂ (RQ < 1). Organic acids like malic acid yield RQ > 1 (e.g., RQ for malic acid = 1.33).

The ratio of CO₂ released to O₂ consumed during cellular respiration, varies by substrate.

Anaerobic Respiration / Fermentation

N
C6H12O6Yeast2C2H5OH+2CO2+2ATP\text{C}_6\text{H}_{12}\text{O}_6 \xrightarrow{\text{Yeast}} 2\text{C}_2\text{H}_5\text{OH} + 2\text{CO}_2 + 2\text{ATP}
C6H12O6Muscle2C3H6O3+2ATP\text{C}_6\text{H}_{12}\text{O}_6 \xrightarrow{\text{Muscle}} 2\text{C}_3\text{H}_6\text{O}_3 + 2\text{ATP}
Parameters & Definitions

Alcoholic fermentation occurs in yeast producing ethanol and CO₂. Lactic acid fermentation occurs in animal muscle cells under oxygen debt. Both produce only 2 ATP per glucose (substrate-level phosphorylation in glycolysis).

Equations for alcoholic and lactic acid fermentation under anaerobic conditions.

Mineral Nutrition & Deficiency

Essential Elements & Critical Concentration

N
Macronutrients (> 10 mmol/kg DW): N, P, K, Ca, Mg, S\text{Macronutrients (> 10 mmol/kg DW): N, P, K, Ca, Mg, S}
Micronutrients (< 10 mmol/kg DW): Fe, Mn, Zn, Cu, Mo, B, Cl, Ni\text{Micronutrients (< 10 mmol/kg DW): Fe, Mn, Zn, Cu, Mo, B, Cl, Ni}
Total essential elements=17\text{Total essential elements} = 17
Parameters & Definitions

DW = dry weight of plant tissue. 17 essential elements include C, H, O (from air/water) + 6 macronutrients + 8 micronutrients. Critical concentration is the concentration below which plant growth is retarded.

Criteria for element essentiality and the concept of critical concentration for plant nutrition.

Biological Nitrogen Fixation Equation

N
N2+8e+8H++16ATPNitrogenase2NH3+H2+16ADP+16Pi\text{N}_2 + 8e^- + 8\text{H}^+ + 16\text{ATP} \xrightarrow{\text{Nitrogenase}} 2\text{NH}_3 + \text{H}_2 + 16\text{ADP} + 16\text{P}_i
Parameters & Definitions

Nitrogenase is a Mo-Fe protein that requires anaerobic conditions. The reaction requires 16 ATP per N₂ fixed. Leghemoglobin in root nodules provides the microaerobic environment. H₂ is an obligatory byproduct.

The overall reaction catalyzed by the nitrogenase enzyme complex in nitrogen-fixing organisms.

Transport in Plants

Transpiration Pull & Root Pressure

N
Ψleaf<Ψstem<Ψroot<Ψsoil\Psi_{\text{leaf}} < \Psi_{\text{stem}} < \Psi_{\text{root}} < \Psi_{\text{soil}}
Transpiration Pull Magnitude10 to 30 bar\text{Transpiration Pull Magnitude} \approx -10 \text{ to } -30 \text{ bar}
Root pressure1-2 bar\text{Root pressure} \approx 1\text{-}2 \text{ bar}
Parameters & Definitions

Water moves from higher water potential (soil) to lower water potential (leaf mesophyll → atmosphere). The transpiration pull (cohesion-tension theory) is the dominant mechanism. Root pressure is insufficient alone for tall trees.

Forces driving the ascent of sap in xylem and factors affecting transpiration rate.

Münch Mass Flow Hypothesis (Phloem Transport)

N
Source (leaf): sucrose loadingΨsΨwwater enterspressure\text{Source (leaf): sucrose loading} \to \Psi_s \downarrow \to \Psi_w \downarrow \to \text{water enters} \to \text{pressure} \uparrow
Sink (root): sucrose unloadingΨsΨwwater exitspressure\text{Sink (root): sucrose unloading} \to \Psi_s \uparrow \to \Psi_w \uparrow \to \text{water exits} \to \text{pressure} \downarrow
Phloem velocity1 cm/min\text{Phloem velocity} \approx 1 \text{ cm/min}
Parameters & Definitions

Sucrose is actively loaded into sieve tube elements at source, lowering water potential and drawing water from xylem. At sink, sucrose is unloaded, increasing water potential. The resulting turgor pressure gradient drives bulk flow.

The pressure-driven bulk flow of phloem sap from source (leaves) to sink (roots, fruits, storage organs).

Plant Growth & Development

Absolute & Relative Growth Rates

N
AGR=W2W1t2t1(Absolute Growth Rate)\text{AGR} = \frac{W_2 - W_1}{t_2 - t_1} \quad \text{(Absolute Growth Rate)}
RGR=W2W1W1(t2t1)(Relative Growth Rate)\text{RGR} = \frac{W_2 - W_1}{W_1 \cdot (t_2 - t_1)} \quad \text{(Relative Growth Rate)}
Wt=W0ert(Exponential Growth)W_t = W_0 e^{rt} \quad \text{(Exponential Growth)}
Parameters & Definitions

W1W_1 and W2W_2 are initial and final size/mass at times t1t_1 and t2t_2; rr is the specific growth rate; W0W_0 and WtW_t are sizes at time 0 and tt respectively.

Mathematical expressions for measuring plant growth over time.

7. Genetics & Evolution

Mendelian & Non-Mendelian Ratios

Cross Ratios & Probability

N
Monohybrid Phenotypic Ratio=3:1\text{Monohybrid Phenotypic Ratio} = 3 : 1
Monohybrid Genotypic Ratio=1:2:1\text{Monohybrid Genotypic Ratio} = 1 : 2 : 1
Dihybrid Phenotypic Ratio=9:3:3:1\text{Dihybrid Phenotypic Ratio} = 9 : 3 : 3 : 1
Monohybrid Test Cross=1:1\text{Monohybrid Test Cross} = 1 : 1
Dihybrid Test Cross=1:1:1:1\text{Dihybrid Test Cross} = 1 : 1 : 1 : 1
Parameters & Definitions

Ratios are based on F₂ generation from true-breeding parents. Monohybrid cross involves 1 trait; Dihybrid cross involves 2 independent traits. Test cross involves crossing F₁ hybrid with homozygous recessive parent.

Standard phenotypic and genotypic ratios resulting from Monohybrid, Dihybrid, and Test crosses.

Modified Mendelian Ratios (Gene Interactions)

N
Incomplete Dominance: 1:2:1 (Phenotypic = Genotypic)\text{Incomplete Dominance: } 1 : 2 : 1 \text{ (Phenotypic = Genotypic)}
Codominance: 1:2:1(e.g., IAIA:IAIB:IBIB)\text{Codominance: } 1 : 2 : 1 \quad (\text{e.g., } I^A I^A : I^A I^B : I^B I^B)
Complementary genes: 9:7\text{Complementary genes: } 9 : 7
Supplementary / Epistasis: 9:3:4 (Recessive epistasis)\text{Supplementary / Epistasis: } 9 : 3 : 4 \text{ (Recessive epistasis)}
Duplicate genes: 15:1\text{Duplicate genes: } 15 : 1
Inhibitory genes: 13:3\text{Inhibitory genes: } 13 : 3
Parameters & Definitions

All are modifications of the standard 9:3:3:1 dihybrid ratio. Incomplete dominance shows blending (e.g., red × white → pink snapdragons). Codominance: both alleles express (e.g., ABO blood groups).

Non-Mendelian dihybrid ratios arising from epistasis and other gene interactions.

Hardy-Weinberg Principle

Hardy-Weinberg Equilibrium

N
p+q=1(Allele Frequencies)p + q = 1 \quad \text{(Allele Frequencies)}
p2+2pq+q2=1(Genotypic Frequencies)p^2 + 2pq + q^2 = 1 \quad \text{(Genotypic Frequencies)}
Parameters & Definitions

pp is the frequency of the dominant allele (AA); qq is the frequency of the recessive allele (aa); p2p^2 = freq. of AAAA; 2pq2pq = freq. of AaAa; q2q^2 = freq. of aaaa. Five conditions: large population, random mating, no mutation, no migration, no selection.

Mathematical equations predicting allele and genotype frequencies in a non-evolving population.

Sex-Linked Inheritance & Probability

Sex-Linked Trait Probabilities

N
Carrier female×Normal male: XCXc×XCY\text{Carrier female} \times \text{Normal male: } X^C X^c \times X^C Y
Daughter: 12 carrier, 12 normal\text{Daughter: } \frac{1}{2} \text{ carrier, } \frac{1}{2} \text{ normal}
Son: 12 affected, 12 normal\text{Son: } \frac{1}{2} \text{ affected, } \frac{1}{2} \text{ normal}
P(affected child)=14P(\text{affected child}) = \frac{1}{4}
Parameters & Definitions

XCX^C is the X-chromosome with the normal allele; XcX^c is the X-chromosome with the recessive allele; YY lacks the corresponding gene. X-linked recessive conditions predominantly affect males as they are hemizygous.

Probability calculations for X-linked recessive traits (e.g., colour blindness, haemophilia).

Linkage & Recombination Frequency

Recombination Frequency & Gene Mapping

N
RF=Number of recombinant offspringTotal offspring×100%\text{RF} = \frac{\text{Number of recombinant offspring}}{\text{Total offspring}} \times 100\%
1% RF=1 centiMorgan (cM) map distance1\% \text{ RF} = 1 \text{ centiMorgan (cM) map distance}
RF50%(if 50%,genes are unlinked/on different chromosomes)\text{RF} \leq 50\% \quad \text{(if } 50\%, \text{genes are unlinked/on different chromosomes)}
Parameters & Definitions

RF = recombination frequency; cM = centiMorgan (1 map unit). Linked genes show RF < 50%. Greater physical distance = higher RF. Genes on different chromosomes show 50% recombination (independent assortment).

Calculation of recombination frequency (RF) between linked genes and its use in chromosome mapping.

Pedigree Analysis & Probability

Probability Rules in Genetics

N
P(A and B)=P(A)×P(B)(Multiplication Rule)P(A \text{ and } B) = P(A) \times P(B) \quad \text{(Multiplication Rule)}
P(A or B)=P(A)+P(B)(Addition Rule)P(A \text{ or } B) = P(A) + P(B) \quad \text{(Addition Rule)}
P(Aa from Aa×Aa)=12P(\text{Aa from Aa} \times \text{Aa}) = \frac{1}{2}
P(aa from Aa×Aa)=14P(\text{aa from Aa} \times \text{Aa}) = \frac{1}{4}
Parameters & Definitions

Multiplication rule applies for independent events occurring together. Addition rule applies for mutually exclusive outcomes. Used extensively in pedigree analysis to predict probability of affected offspring.

Fundamental probability rules applied to genetic crosses and pedigree analysis.

ABO & Rh Blood Group Genetics

ABO Blood Group System

N
Alleles: IA,IB (codominant),  i (recessive)\text{Alleles: } I^A, I^B \text{ (codominant)}, \; i \text{ (recessive)}
Blood Group A: IAIA or IAi\text{Blood Group A: } I^A I^A \text{ or } I^A i
Blood Group B: IBIB or IBi\text{Blood Group B: } I^B I^B \text{ or } I^B i
Blood Group AB: IAIB(Codominance)\text{Blood Group AB: } I^A I^B \quad \text{(Codominance)}
Blood Group O: ii\text{Blood Group O: } ii
Parameters & Definitions

IAI^A and IBI^B are codominant alleles producing A and B antigens on RBC surface. ii is recessive producing no antigen. AB is universal recipient (no antibodies); O is universal donor (no antigens).

Multiple allele inheritance pattern for ABO blood groups showing codominance and dominance relationships.

8. Molecular Basis of Inheritance

DNA Structure & Chargaff's Rules

DNA Double Helix Dimensions

N
Length=N×0.34 nm\text{Length} = N \times 0.34 \text{ nm}
Distance per turn (pitch)=3.4 nm\text{Distance per turn (pitch)} = 3.4 \text{ nm}
Base pairs per turn=10\text{Base pairs per turn} = 10
Number of turns=N10\text{Number of turns} = \frac{N}{10}
Diameter of helix=2 nm (20 A˚)\text{Diameter of helix} = 2 \text{ nm (20 Å)}
Parameters & Definitions

NN is the total number of base pairs. Distance between adjacent base pairs = 0.34 nm. The right-handed B-DNA has a major groove and a minor groove. Sugar-phosphate backbone is on the outside.

Key dimensions of the B-form DNA double helix and calculation of total length from base pair count.

Chargaff's Rules of Base Pairing

N
A=TandG=C(Chargaff’s Rule)A = T \quad \text{and} \quad G = C \quad \text{(Chargaff's Rule)}
A+GT+C=1(Purines = Pyrimidines)\frac{A + G}{T + C} = 1 \quad \text{(Purines = Pyrimidines)}
A+TG+C1(varies between species)\frac{A + T}{G + C} \neq 1 \quad \text{(varies between species)}
If A=30%, then T=30%,  G=C=20%\text{If } A = 30\%, \text{ then } T = 30\%, \; G = C = 20\%
Parameters & Definitions

AA = Adenine, TT = Thymine, GG = Guanine, CC = Cytosine. Chargaff's rule applies ONLY to double-stranded DNA. In single-stranded DNA or RNA, AT(U)A \neq T(U) and GCG \neq C.

Quantitative relationships between purine and pyrimidine bases in double-stranded DNA.

DNA Replication Calculations

DNA Replication & Strand Distribution

N
After n rounds: Total DNA molecules=2n\text{After } n \text{ rounds: Total DNA molecules} = 2^n
Old (parental) strands=2(always, in 2 molecules)\text{Old (parental) strands} = 2 \quad \text{(always, in 2 molecules)}
New strands=2n+12\text{New strands} = 2^{n+1} - 2
Molecules with at least one old strand=2\text{Molecules with at least one old strand} = 2
Purely new molecules=2n2\text{Purely new molecules} = 2^n - 2
Parameters & Definitions

nn is the number of replication rounds. Semi-conservative replication means each daughter DNA retains one parental strand. Proved by Meselson-Stahl experiment using ¹⁵N (heavy) and ¹⁴N (light) isotopes.

Calculation of new and old strands after multiple rounds of semi-conservative DNA replication.

Transcription & Translation Numerics

Codon & Amino Acid Calculations

N
Total codons=43=64\text{Total codons} = 4^3 = 64
Sense codons (amino acid coding)=61\text{Sense codons (amino acid coding)} = 61
Stop codons (UAA, UAG, UGA)=3\text{Stop codons (UAA, UAG, UGA)} = 3
Start codon: AUG (Methionine)\text{Start codon: AUG (Methionine)}
Amino acids in polypeptide=mRNA codons11=N/311\text{Amino acids in polypeptide} = \frac{\text{mRNA codons} - 1}{1} = \frac{N/3 - 1}{1}
Parameters & Definitions

Each codon = 3 consecutive nucleotide bases on mRNA. NN = total nucleotides in the coding region of mRNA. The '-1' accounts for the stop codon which is not translated. The genetic code is degenerate (multiple codons for same amino acid) but non-ambiguous.

Numerical relationships between DNA bases, mRNA codons, and amino acids in the translated polypeptide.

Template vs Coding Strand Relations

N
Template (antisense) strand: 35\text{Template (antisense) strand: } 3' \to 5'
Coding (sense) strand: 53\text{Coding (sense) strand: } 5' \to 3'
mRNA=Coding strand sequence (with U replacing T)\text{mRNA} = \text{Coding strand sequence (with U replacing T)}
RNA Polymerase reads: 35, synthesizes: 53\text{RNA Polymerase reads: } 3' \to 5' \text{, synthesizes: } 5' \to 3'
Parameters & Definitions

Template strand is complementary and antiparallel to mRNA. Coding strand has the same sequence as mRNA (except T→U). In prokaryotes, RNA polymerase is a single enzyme; in eukaryotes: RNA Pol I (rRNA), Pol II (mRNA), Pol III (tRNA).

Relationship between the template strand, coding strand, and mRNA during transcription.

Human Genome Facts & Numbers

Human Genome Project Key Data

N
Total base pairs3.1×109\text{Total base pairs} \approx 3.1 \times 10^9
Average gene size3000 base pairs\text{Average gene size} \approx 3000 \text{ base pairs}
Total genes (estimated)20,000-25,000\text{Total genes (estimated)} \approx 20,000 \text{-} 25,000
Coding sequences<2% of genome\text{Coding sequences} < 2\% \text{ of genome}
Chromosome 1: most genes (2968)\text{Chromosome 1: most genes (2968)}
Y chromosome: fewest genes (231)\text{Y chromosome: fewest genes (231)}
Parameters & Definitions

HGP used two key approaches: BAC (Bacterial Artificial Chromosome) and Shotgun sequencing. Less than 2% of the genome codes for proteins; the rest includes introns, repetitive sequences, and regulatory elements.

Important numerical facts about the human genome determined by the HGP (1990-2003).

9. Human Physiology

Digestive System & Dental Formulas

Dental Formulas

N
Permanent Dentition=2.1.2.32.1.2.3×2=32\text{Permanent Dentition} = \frac{2.1.2.3}{2.1.2.3} \times 2 = 32
Deciduous Dentition=2.1.0.22.1.0.2×2=20\text{Deciduous Dentition} = \frac{2.1.0.2}{2.1.0.2} \times 2 = 20
Parameters & Definitions

The digits represent: Incisors . Canines . Premolars . MolarsIncisors . Canines . Premolars . Molars\frac{\text{Incisors . Canines . Premolars . Molars}}{\text{Incisors . Canines . Premolars . Molars}} per half jaw. Heterodont (different types) and thecodont (embedded in sockets) dentition. Diphyodont = two sets in lifetime.

Represents the arrangement and type of teeth on one side of upper and lower jaws.

Caloric Value of Nutrients

N
Carbohydrates: 4.0 kcal/g  (17.16 kJ/g)\text{Carbohydrates: } 4.0 \text{ kcal/g} \; (17.16 \text{ kJ/g})
Proteins: 4.0 kcal/g  (17.16 kJ/g)\text{Proteins: } 4.0 \text{ kcal/g} \; (17.16 \text{ kJ/g})
Fats: 9.0 kcal/g  (37.62 kJ/g)\text{Fats: } 9.0 \text{ kcal/g} \; (37.62 \text{ kJ/g})
Parameters & Definitions

Fats provide maximum energy per gram (2.25× more than carbohydrates). These values are used in calculating BMR (Basal Metabolic Rate) and dietary energy requirements.

Energy released per gram of each major nutrient class upon complete oxidation.

Cardiac Output & Volumes

Cardiac Output

N
Cardiac Output (CO)=Stroke Volume (SV)×Heart Rate (HR)\text{Cardiac Output (CO)} = \text{Stroke Volume (SV)} \times \text{Heart Rate (HR)}
CO=70 mL×72 beats/min5040 mL/min5 L/min\text{CO} = 70 \text{ mL} \times 72 \text{ beats/min} \approx 5040 \text{ mL/min} \approx 5 \text{ L/min}
Parameters & Definitions

Stroke Volume is the blood pumped per heartbeat (70\approx 70 mL). Heart Rate averages 72\approx 72 beats/min at rest. CO varies with exercise (can increase to 20–25 L/min).

Calculates the volume of blood pumped by each ventricle per minute.

Cardiac Cycle Duration

N
Total cardiac cycle=60720.8 sec\text{Total cardiac cycle} = \frac{60}{72} \approx 0.8 \text{ sec}
Atrial systole0.1 s\text{Atrial systole} \approx 0.1 \text{ s}
Ventricular systole0.3 s\text{Ventricular systole} \approx 0.3 \text{ s}
Joint diastole0.4 s\text{Joint diastole} \approx 0.4 \text{ s}
Parameters & Definitions

The cardiac cycle includes systole (contraction) and diastole (relaxation). SA node (pacemaker) generates 72 impulses/min. The conduction sequence: SA node → AV node → Bundle of His → Purkinje fibres.

Time intervals for different phases of the cardiac cycle at a normal heart rate of 72 bpm.

Respiratory Volumes & Capacities

Lung Volumes

N
Tidal Volume (TV)500 mL\text{Tidal Volume (TV)} \approx 500 \text{ mL}
Inspiratory Reserve Volume (IRV)2500-3000 mL\text{Inspiratory Reserve Volume (IRV)} \approx 2500\text{-}3000 \text{ mL}
Expiratory Reserve Volume (ERV)1000-1100 mL\text{Expiratory Reserve Volume (ERV)} \approx 1000\text{-}1100 \text{ mL}
Residual Volume (RV)1100-1200 mL\text{Residual Volume (RV)} \approx 1100\text{-}1200 \text{ mL}
Parameters & Definitions

TV is the air inhaled/exhaled in a normal breath. IRV is extra air that can be forcibly inhaled. ERV is extra air that can be forcibly exhaled. RV is air remaining after maximum exhalation.

Standard respiratory volumes measured by spirometry in a healthy adult.

Lung Capacity Relations

N
Vital Capacity (VC)=TV+IRV+ERV3400-4600 mL\text{Vital Capacity (VC)} = \text{TV} + \text{IRV} + \text{ERV} \approx 3400\text{-}4600 \text{ mL}
Inspiratory Capacity (IC)=TV+IRV\text{Inspiratory Capacity (IC)} = \text{TV} + \text{IRV}
Expiratory Capacity (EC)=TV+ERV\text{Expiratory Capacity (EC)} = \text{TV} + \text{ERV}
Functional Residual Capacity (FRC)=ERV+RV\text{Functional Residual Capacity (FRC)} = \text{ERV} + \text{RV}
Total Lung Capacity (TLC)=VC+RV6000 mL\text{Total Lung Capacity (TLC)} = \text{VC} + \text{RV} \approx 6000 \text{ mL}
Parameters & Definitions

VC is the maximum air that can be exhaled after maximum inhalation. TLC includes all four volumes. FRC is the air remaining after normal exhalation.

Summation formulas to calculate the four lung capacities from the four volumes.

Excretory System & Kidney Function

Glomerular Filtration Rate & Net Filtration Pressure

N
GFR125 mL/min=180 L/day\text{GFR} \approx 125 \text{ mL/min} = 180 \text{ L/day}
NFP=PGHP(PBCOP+PCHP)\text{NFP} = P_{\text{GHP}} - (P_{\text{BCOP}} + P_{\text{CHP}})
NFP=60(32+18)=10 mmHg\text{NFP} = 60 - (32 + 18) = 10 \text{ mmHg}
Urine output1.5 L/day\text{Urine output} \approx 1.5 \text{ L/day}
Reabsorption99%\text{Reabsorption} \approx 99\%
Parameters & Definitions

GFR\text{GFR} = Glomerular Filtration Rate; PGHPP_{\text{GHP}} = Glomerular Hydrostatic Pressure (60\approx 60 mmHg); PBCOPP_{\text{BCOP}} = Blood Colloid Osmotic Pressure (32\approx 32 mmHg); PCHPP_{\text{CHP}} = Capsular Hydrostatic Pressure (18\approx 18 mmHg). About 99% of filtrate is reabsorbed.

Quantitative aspects of kidney filtration including GFR and the pressure driving filtration.

Countercurrent Multiplier Osmolarity

N
Cortex: 300 mOsm/L\text{Cortex: } \approx 300 \text{ mOsm/L}
Outer medulla: 600 mOsm/L\text{Outer medulla: } \approx 600 \text{ mOsm/L}
Inner medulla (tip): 1200 mOsm/L\text{Inner medulla (tip): } \approx 1200 \text{ mOsm/L}
Osmolarity gradient=3001200 mOsm/L\text{Osmolarity gradient} = 300 \to 1200 \text{ mOsm/L}
Parameters & Definitions

The loop of Henle acts as a countercurrent multiplier creating an increasing osmolarity gradient from cortex to inner medulla. Vasa recta acts as a countercurrent exchanger maintaining this gradient. ADH controls water reabsorption from collecting duct.

Osmolarity gradient in the renal medulla maintained by the loop of Henle and vasa recta.

Body Fluids & Blood Composition

Blood Composition & Normal Values

N
Total blood volume5-5.5 L\text{Total blood volume} \approx 5\text{-}5.5 \text{ L}
Plasma55%,Formed elements45%\text{Plasma} \approx 55\%, \quad \text{Formed elements} \approx 45\%
RBC count: Male5-5.5 million/mm3\text{RBC count: Male} \approx 5\text{-}5.5 \text{ million/mm}^3
RBC count: Female4.5-5 million/mm3\text{RBC count: Female} \approx 4.5\text{-}5 \text{ million/mm}^3
WBC count6000-8000 /mm3\text{WBC count} \approx 6000\text{-}8000 \text{ /mm}^3
Platelet count1.5-3.5 lakh/mm3\text{Platelet count} \approx 1.5\text{-}3.5 \text{ lakh/mm}^3
Hb: Male14-16 g/dL,  Female12-14 g/dL\text{Hb: Male} \approx 14\text{-}16 \text{ g/dL}, \; \text{Female} \approx 12\text{-}14 \text{ g/dL}
Parameters & Definitions

Plasma contains 90–92% water, 6–8% proteins (albumin, globulins, fibrinogen). Formed elements = RBCs + WBCs + Platelets. RBCs are enucleated and biconcave in mammals. Lifespan: RBC ≈ 120 days, WBC ≈ varies, Platelets ≈ 7–10 days.

Quantitative normal values for major blood components frequently tested in NEET.

Neural Control & Nervous System

Nerve Impulse & Resting Potential

N
Resting Membrane Potential70 mV\text{Resting Membrane Potential} \approx -70 \text{ mV}
Action Potential (depolarization)+30 to +40 mV\text{Action Potential (depolarization)} \approx +30 \text{ to } +40 \text{ mV}
Speed of impulse: Myelinated100 m/s\text{Speed of impulse: Myelinated} \approx 100 \text{ m/s}
Speed of impulse: Non-myelinated0.5-2 m/s\text{Speed of impulse: Non-myelinated} \approx 0.5\text{-}2 \text{ m/s}
Synaptic delay0.5 ms\text{Synaptic delay} \approx 0.5 \text{ ms}
Parameters & Definitions

Resting potential maintained by Na⁺/K⁺ ATPase pump (3 Na⁺ out, 2 K⁺ in). Depolarization: Na⁺ influx via voltage-gated channels. Repolarization: K⁺ efflux. Saltatory conduction in myelinated neurons (node to node).

Electrical values associated with nerve impulse conduction across a neuron.

Endocrine System & Hormonal Values

Key Hormonal Values & Conditions

N
Normal blood glucose: 70-110 mg/dL (fasting)\text{Normal blood glucose: } 70\text{-}110 \text{ mg/dL (fasting)}
Diabetes threshold: >126 mg/dL (fasting)\text{Diabetes threshold: } > 126 \text{ mg/dL (fasting)}
Normal blood Ca2+:9-11 mg/dL\text{Normal blood Ca}^{2+}: 9\text{-}11 \text{ mg/dL}
T3 and T4 require iodine; BMR regulation\text{T}_3 \text{ and T}_4 \text{ require iodine; BMR regulation}
Normal BMR1600-1800 kcal/day (adults)\text{Normal BMR} \approx 1600\text{-}1800 \text{ kcal/day (adults)}
Parameters & Definitions

Insulin lowers blood glucose (from β-cells of Langerhans); Glucagon raises it (from α-cells). PTH increases blood Ca²⁺; Calcitonin (TCT from thyroid C-cells) decreases it. T₃/T₄ from thyroid regulate BMR.

Normal physiological values regulated by hormones and associated disorders.

Locomotion & Movement

Human Skeletal System Counts

N
Total bones in adult=206\text{Total bones in adult} = 206
Axial skeleton=80(skull: 22, vertebrae: 26, ribs: 24, sternum: 1, hyoid: 1)\text{Axial skeleton} = 80 \quad (\text{skull: 22, vertebrae: 26, ribs: 24, sternum: 1, hyoid: 1})
Appendicular skeleton=126\text{Appendicular skeleton} = 126
Vertebral formula: C7T12L5S1Co1=26\text{Vertebral formula: C}_7 \text{T}_{12} \text{L}_5 \text{S}_1 \text{Co}_1 = 26
Ribs: True (7 pairs), False (3 pairs), Floating (2 pairs)=24\text{Ribs: True (7 pairs), False (3 pairs), Floating (2 pairs)} = 24
Parameters & Definitions

C = Cervical, T = Thoracic, L = Lumbar, S = Sacrum (5 fused → 1), Co = Coccyx (4 fused → 1). Smallest bone: Stapes (middle ear). Longest bone: Femur. Total in newborn ≈ 300 (many fuse during growth).

Total number of bones in the human adult skeleton and key regional bone counts.

Sarcomere Structure & Contraction

N
Sarcomere=Z-line to Z-line2.0-2.5  μm\text{Sarcomere} = \text{Z-line to Z-line} \approx 2.0\text{-}2.5 \; \mu\text{m}
During contraction:\text{During contraction:}
A-band (dark): remains constant\text{A-band (dark): remains constant}
I-band (light): decreases\text{I-band (light): decreases}
H-zone: decreases or disappears\text{H-zone: decreases or disappears}
Sarcomere length: decreases\text{Sarcomere length: decreases}
Parameters & Definitions

A-band contains thick myosin filaments (constant length). I-band contains thin actin filaments. H-zone is the central part of A-band without actin overlap. Z-line anchors actin filaments. M-line is the center of the sarcomere.

Key measurements and band changes during muscle contraction based on the sliding filament theory.

Human Reproduction

Gametogenesis Cell Division Counts

N
1 primary spermatocyteMeiosis4 spermatozoa\text{1 primary spermatocyte} \xrightarrow{\text{Meiosis}} 4 \text{ spermatozoa}
1 primary oocyteMeiosis1 ovum+3 polar bodies\text{1 primary oocyte} \xrightarrow{\text{Meiosis}} 1 \text{ ovum} + 3 \text{ polar bodies}
Sperms from n spermatocytes=4n\text{Sperms from } n \text{ spermatocytes} = 4n
Ova from n oocytes=n\text{Ova from } n \text{ oocytes} = n
Parameters & Definitions

Spermatogenesis produces 4 functional sperms per primary spermatocyte. Oogenesis produces 1 functional ovum per primary oocyte (3 polar bodies degenerate). Meiosis I reduces chromosome number; Meiosis II separates chromatids.

Number of gametes produced from a given number of primary cells undergoing meiosis.

Menstrual Cycle Phases & Duration

N
Total cycle28 days\text{Total cycle} \approx 28 \text{ days}
Menstrual phase: Days 1-5\text{Menstrual phase: Days } 1\text{-}5
Follicular / Proliferative phase: Days 6-13\text{Follicular / Proliferative phase: Days } 6\text{-}13
Ovulation: Day 14\text{Ovulation: Day } 14
Luteal / Secretory phase: Days 15-28\text{Luteal / Secretory phase: Days } 15\text{-}28
Parameters & Definitions

FSH stimulates follicular growth; LH surge triggers ovulation on Day 14. Corpus luteum produces progesterone during luteal phase. If no fertilization, corpus luteum degenerates → drop in progesterone → menstruation.

Time durations of the phases of the human female menstrual cycle.

Human Embryonic Development Timeline

N
Fertilization: Ampulla of fallopian tube\text{Fertilization: Ampulla of fallopian tube}
Cleavage begins: 24-30 hrs after fertilization\text{Cleavage begins: } \sim 24\text{-}30 \text{ hrs after fertilization}
Morula (16 cells): Day 3-4\text{Morula (16 cells): Day } 3\text{-}4
Blastocyst: Day 5-6\text{Blastocyst: Day } 5\text{-}6
Implantation: Day 6-7 (in endometrium)\text{Implantation: Day } 6\text{-}7 \text{ (in endometrium)}
Gestation period=9 months266 days (from fertilization)\text{Gestation period} = 9 \text{ months} \approx 266 \text{ days (from fertilization)}
Parameters & Definitions

Trophoblast forms placenta; inner cell mass forms embryo. Placenta is connected by umbilical cord. hCG (human chorionic gonadotropin) is produced by trophoblast — basis of pregnancy tests.

Key developmental events and their timing after fertilization.

10. Ecology & Environment

Population Ecology & Growth Models

Population Growth Equations

N
dNdt=rN(Exponential / J-shaped Growth)\frac{dN}{dt} = rN \quad \text{(Exponential / J-shaped Growth)}
Nt=N0ert(Integral Form)N_t = N_0 e^{rt} \quad \text{(Integral Form)}
dNdt=rN(KNK)(Verhulst-Pearl Logistic / S-shaped Growth)\frac{dN}{dt} = rN \left( \frac{K - N}{K} \right) \quad \text{(Verhulst-Pearl Logistic / S-shaped Growth)}
Parameters & Definitions

NN = population size; tt = time; rr = intrinsic rate of natural increase (biotic potential); N0N_0 = initial population; ee = Euler's number (2.718\approx 2.718); KK = carrying capacity. When N=KN = K, growth rate = 0. When N=K/2N = K/2, growth rate is maximum.

Mathematical models representing population growth under unlimited (J-shaped) and limited (S-shaped) resource conditions.

Population Density Change Equation

N
Nt+1=Nt+[(B+I)(D+E)]N_{t+1} = N_t + [(B + I) - (D + E)]
Parameters & Definitions

NtN_t = population density at time tt; BB = births; II = immigration; DD = deaths; EE = emigration. BB and II increase population; DD and EE decrease it.

Determines population size change by accounting for all gains and losses.

Age Distribution & Growth Status

N
Expanding (Growing):  Pre-reproductive>Reproductive>Post-reproductive\text{Expanding (Growing):} \; \text{Pre-reproductive} > \text{Reproductive} > \text{Post-reproductive}
Stable:  Pre-reproductiveReproductivePost-reproductive\text{Stable:} \; \text{Pre-reproductive} \approx \text{Reproductive} \approx \text{Post-reproductive}
Declining:  Pre-reproductive<Reproductive\text{Declining:} \; \text{Pre-reproductive} < \text{Reproductive}
Parameters & Definitions

Expanding population: broad-based pyramid (high birth rate). Stable population: column-shaped. Declining population: inverted/urn-shaped (low birth rate, high proportion of elderly).

Relationship between age pyramid shape and population growth status.

Ecosystem Productivity & Energy Transfer

Net Primary Productivity

N
NPP=GPPRp\text{NPP} = \text{GPP} - R_p
Global NPP170 billion tonnes/year\text{Global NPP} \approx 170 \text{ billion tonnes/year}
Ocean contribution55 billion tonnes/year\text{Ocean contribution} \approx 55 \text{ billion tonnes/year}
Parameters & Definitions

GPP\text{GPP} = Gross Primary Productivity (total photosynthesis); NPP\text{NPP} = Net Primary Productivity (biomass available to consumers); RpR_p = respiratory losses by producers.

Relationship between total photosynthetic production and net energy stored as biomass.

Lindeman's 10% Law of Energy Transfer

N
En+1=0.10×EnE_{n+1} = 0.10 \times E_n
If producers=1000 kcal:\text{If producers} = 1000 \text{ kcal:}
Primary consumers=100 kcal\text{Primary consumers} = 100 \text{ kcal}
Secondary consumers=10 kcal\text{Secondary consumers} = 10 \text{ kcal}
Tertiary consumers=1 kcal\text{Tertiary consumers} = 1 \text{ kcal}
Parameters & Definitions

EnE_n = energy at trophic level nn. Only 10% is transferred; 90% is lost as heat (respiration), excretion, and decomposition. This limits food chains to typically 4–5 trophic levels.

Only 10% of energy at one trophic level is transferred to the next trophic level.

Ecosystem Nutrient Cycling

N
CO2 in atmosphere0.04%  (400 ppm)\text{CO}_2 \text{ in atmosphere} \approx 0.04\% \; (\approx 400 \text{ ppm})
CO2 fixation by photosynthesis4×1013 kg C/year\text{CO}_2 \text{ fixation by photosynthesis} \approx 4 \times 10^{13} \text{ kg C/year}
Turnover time for atmospheric CO24-5 years\text{Turnover time for atmospheric CO}_2 \approx 4\text{-}5 \text{ years}
Ocean dissolved CO2=71% of global carbon\text{Ocean dissolved CO}_2 = 71\% \text{ of global carbon}
Parameters & Definitions

Carbon cycles through atmosphere, biosphere, hydrosphere, and lithosphere. Photosynthesis and respiration are the major biological processes. Fossil fuel burning and deforestation increase atmospheric CO₂.

Key quantitative aspects of biogeochemical cycles and decomposition.

Biodiversity Patterns & Conservation

Species-Area Relationship

N
S=CAZ(Power Law)S = CA^Z \quad \text{(Power Law)}
logS=logC+ZlogA(Log-linearized form)\log S = \log C + Z \log A \quad \text{(Log-linearized form)}
Parameters & Definitions

SS = species richness; AA = area; ZZ = regression slope (typically 0.10.1 to 0.20.2 for small areas within a continent; 0.60.6 to 1.21.2 for very large areas like continents); CC = Y-intercept (varies with taxonomic group).

Alexander von Humboldt's observation that species richness increases with area explored, following a power law.

Global Biodiversity Numbers

N
Total known species1.5 million\text{Total known species} \approx 1.5 \text{ million}
Estimated total species5-50 million\text{Estimated total species} \approx 5\text{-}50 \text{ million}
India’s share of global biodiversity8.1%\text{India's share of global biodiversity} \approx 8.1\%
IUCN Red List categories: LC, NT, VU, EN, CR, EW, EX\text{IUCN Red List categories: } \text{LC, NT, VU, EN, CR, EW, EX}
Insects dominate: 70% of all species\text{Insects dominate: } \approx 70\% \text{ of all species}
Parameters & Definitions

LC = Least Concern, NT = Near Threatened, VU = Vulnerable, EN = Endangered, CR = Critically Endangered, EW = Extinct in Wild, EX = Extinct. India is one of 17 mega-diversity countries (Paul Myers).

Key numerical facts about global species diversity and distribution.

Environmental Issues & Pollution

Biochemical Oxygen Demand (BOD)

N
BOD=O2 consumed by microbes (mg/L) in 5 days at 20°C\text{BOD} = \text{O}_2 \text{ consumed by microbes (mg/L) in 5 days at 20°C}
Clean water BOD<3 mg/L\text{Clean water BOD} < 3 \text{ mg/L}
Moderately polluted: 3-5 mg/L\text{Moderately polluted: } 3\text{-}5 \text{ mg/L}
Heavily polluted: >5 mg/L\text{Heavily polluted: } > 5 \text{ mg/L}
Parameters & Definitions

BOD is measured as mg of O₂ consumed per litre of water sample over 5 days at 20°C. Higher BOD = more organic pollutants = more microbial decomposition = more dissolved O₂ depletion.

A measure of the amount of organic matter in water — higher BOD indicates more pollution.

Greenhouse Effect & Global Warming

N
CO2 contribution:60% of greenhouse effect\text{CO}_2 \text{ contribution:} \approx 60\% \text{ of greenhouse effect}
CH4:20%,N2O:6%\text{CH}_4: \approx 20\%, \quad \text{N}_2\text{O}: \approx 6\%
CFCs:14%\text{CFCs}: \approx 14\%
Pre-industrial CO2280 ppm\text{Pre-industrial CO}_2 \approx 280 \text{ ppm}
Current CO2420 ppm\text{Current CO}_2 \approx 420 \text{ ppm}
Parameters & Definitions

Greenhouse gases trap infrared radiation reflected from Earth's surface. CFCs also deplete the ozone layer. Montreal Protocol (1987) banned CFCs. Kyoto Protocol (1997) set emission reduction targets.

Contribution of major greenhouse gases to global warming and key temperature data.

11. Biotechnology: Principles & Processes

Restriction Enzymes & PCR

Restriction Enzyme Nomenclature & Fragments

N
Naming: EGenuscospeciesRstrainIorder\text{Naming: } \underbrace{E}_{\text{Genus}} \underbrace{co}_{\text{species}} \underbrace{R}_{\text{strain}} \underbrace{I}_{\text{order}}
EcoRI cuts at: 5-GAATTC-3’(palindrome)\text{EcoRI cuts at: } 5'\text{-G}\downarrow\text{AATTC-3'} \quad (\text{palindrome})
Fragments from n cuts on linear DNA=n+1\text{Fragments from } n \text{ cuts on linear DNA} = n + 1
Fragments from n cuts on circular DNA=n\text{Fragments from } n \text{ cuts on circular DNA} = n
Parameters & Definitions

EE = genus Escherichia\textit{Escherichia}; coco = species coli\textit{coli}; RR = strain RY13; II = first enzyme isolated. Palindromic sequences read the same on both strands (5'→3'). Sticky ends have overhangs; blunt ends have no overhang.

Naming convention for restriction endonucleases and calculation of DNA fragments produced.

PCR Amplification Calculation

N
Copies after n cycles=2n\text{Copies after } n \text{ cycles} = 2^n
Starting from N0 molecules: N0×2n\text{Starting from } N_0 \text{ molecules: } N_0 \times 2^n
Cycle: Denaturation (94°C)Annealing (50-65°C)Extension (72°C)\text{Cycle: Denaturation (94°C)} \to \text{Annealing (50-65°C)} \to \text{Extension (72°C)}
Parameters & Definitions

nn = number of PCR cycles (typically 25–35). Uses thermostable Taq\textit{Taq} polymerase (from Thermus aquaticus\textit{Thermus aquaticus}). Each cycle doubles the DNA. 30 cycles produce 2301092^{30} \approx 10^9 copies from a single molecule.

Polymerase Chain Reaction: number of DNA copies produced after multiple cycles.

Cloning Vectors & Insert Size

Cloning Vector Insert Capacities

N
Plasmid: <10 kb\text{Plasmid: } < 10 \text{ kb}
Phage (λ): 20 kb\text{Phage (}\lambda\text{): } \sim 20 \text{ kb}
Cosmid: 40 kb\text{Cosmid: } \sim 40 \text{ kb}
BAC: 100-300 kb\text{BAC: } 100\text{-}300 \text{ kb}
YAC: 200-2000 kb\text{YAC: } 200\text{-}2000 \text{ kb}
Parameters & Definitions

kb = kilobase pairs. Plasmids are the most common vectors (e.g., pBR322, pUC). BAC = Bacterial Artificial Chromosome; YAC = Yeast Artificial Chromosome. Vectors must have origin of replication (ori), selectable marker, and cloning site.

Maximum DNA insert size for various cloning vectors used in recombinant DNA technology.

12. Biotechnology & Its Applications

Bt Crops & Transgenic Organisms

Bt Toxin Gene & Cry Proteins

N
cry1Ab, cry1Aceffective against cotton bollworms (Lepidoptera)\text{cry1Ab, cry1Ac} \to \text{effective against cotton bollworms (Lepidoptera)}
cry2Abeffective against cotton bollworms (Lepidoptera)\text{cry2Ab} \to \text{effective against cotton bollworms (Lepidoptera)}
cry3effective against coleopteran pests (beetles)\text{cry3} \to \text{effective against coleopteran pests (beetles)}
Bt cotton: cry1Ac+cry2Ab (stacked genes)\text{Bt cotton: } cry1Ac + cry2Ab \text{ (stacked genes)}
Parameters & Definitions

BtBt = Bacillus thuringiensis\textit{Bacillus thuringiensis}. Cry proteins are inactive protoxins that become active (toxic) in alkaline insect gut (pH > 9.5). They create pores in the midgut epithelium, causing cell lysis and death of the insect.

Cry protein gene nomenclature and their target pest specificity in transgenic Bt crops.

Gene Therapy & Medical Applications

ADA Deficiency Gene Therapy

N
ADA gene on Chromosome 20\text{ADA gene on Chromosome 20}
ADA deficiencySCID (Severe Combined Immunodeficiency)\text{ADA deficiency} \to \text{SCID (Severe Combined Immunodeficiency)}
Treatment: Functional ADA cDNAretroviral vectorpatient’s lymphocytes\text{Treatment: Functional ADA cDNA} \to \text{retroviral vector} \to \text{patient's lymphocytes}
Alternative: PEG-ADA enzyme replacement (not permanent)\text{Alternative: PEG-ADA enzyme replacement (not permanent)}
Parameters & Definitions

ADA = Adenosine Deaminase, essential for immune function. SCID patients lack functional T and B lymphocytes. Gene therapy introduces a functional copy of the ADA gene into the patient's own bone marrow cells or lymphocytes.

First approved gene therapy case: correcting Adenosine Deaminase deficiency.

13. Human Health & Disease

Immunity & Immunoglobulins

Immunoglobulin Classes & Structure

N
5 classes: IgG, IgA, IgM, IgE, IgD\text{5 classes: IgG, IgA, IgM, IgE, IgD}
Basic unit: 2 Heavy chains (H) + 2 Light chains (L)\text{Basic unit: 2 Heavy chains (H) + 2 Light chains (L)}
IgG: most abundant in blood (80%), crosses placenta\text{IgG: most abundant in blood (}\approx 80\%\text{), crosses placenta}
IgA: in secretions (saliva, tears, colostrum)\text{IgA: in secretions (saliva, tears, colostrum)}
IgM: first response, pentamer\text{IgM: first response, pentamer}
IgE: allergic reactions, binds mast cells\text{IgE: allergic reactions, binds mast cells}
Parameters & Definitions

H chain = Heavy chain (determines class: γ, α, μ, ε, δ). L chain = Light chain (κ or λ). Antigen-binding site = variable region of H + L chains. Each antibody has 2 antigen-binding sites (bivalent).

The five classes of antibodies and the basic structural unit of an immunoglobulin molecule.

Pathogen Incubation & Life Cycles

Malaria Parasite Life Cycle Timing

N
P. vivax: fever every 48 hrs (Benign Tertian)\text{P. vivax: fever every 48 hrs (Benign Tertian)}
P. falciparum: fever every 36-48 hrs (Malignant Tertian)\text{P. falciparum: fever every 36-48 hrs (Malignant Tertian)}
P. malariae: fever every 72 hrs (Quartan)\text{P. malariae: fever every 72 hrs (Quartan)}
Vector: Female Anopheles mosquito\text{Vector: Female } \textit{Anopheles} \text{ mosquito}
Definitive host: Mosquito; Intermediate host: Human\text{Definitive host: Mosquito; Intermediate host: Human}
Parameters & Definitions

Sexual cycle (gametogony) occurs in mosquito (definitive host). Asexual cycle in human (intermediate host): liver stage (schizogony) → blood stage (erythrocytic schizogony). Merozoite release causes RBC lysis → fever.

Duration of key stages in the Plasmodium life cycle and fever periodicity.

14. Reproduction in Organisms

Events in Sexual Reproduction

Chromosome Number in Gametes & Zygote

N
Somatic cell (body)=2n (diploid)\text{Somatic cell (body)} = 2n \text{ (diploid)}
Gamete (egg/sperm)=n (haploid)\text{Gamete (egg/sperm)} = n \text{ (haploid)}
Zygote=n+n=2n (diploid restored)\text{Zygote} = n + n = 2n \text{ (diploid restored)}
Human: 2n=46,  n=23\text{Human: } 2n = 46, \; n = 23
Meiocyte (2n)MeiosisGametes (n)\text{Meiocyte (2n)} \xrightarrow{\text{Meiosis}} \text{Gametes (n)}
Parameters & Definitions

2n2n = diploid number (two copies of each chromosome); nn = haploid number (one copy). Meiosis halves the chromosome number. Fertilization restores the diploid number. Polyploidy = having more than 2n chromosomes.

Relationship between somatic cell and gametic chromosome numbers in sexually reproducing organisms.

Sexual Reproduction in Flowering Plants

Embryo Sac Development

N
1 Megaspore Mother Cell (MMC, 2n)Meiosis4 megaspores (n)\text{1 Megaspore Mother Cell (MMC, 2n)} \xrightarrow{\text{Meiosis}} 4 \text{ megaspores (n)}
3 megaspores degenerate; 1 functional megaspore survives\text{3 megaspores degenerate; 1 functional megaspore survives}
Functional megaspore3 mitotic divisions8 nuclei\text{Functional megaspore} \xrightarrow{3 \text{ mitotic divisions}} 8 \text{ nuclei}
Mature embryo sac: 7 cells, 8 nuclei\text{Mature embryo sac: 7 cells, 8 nuclei}
3 Antipodals + 2 Synergids + 1 Egg cell + 1 Central cell (2 polar nuclei)\text{3 Antipodals + 2 Synergids + 1 Egg cell + 1 Central cell (2 polar nuclei)}
Parameters & Definitions

The embryo sac = female gametophyte. Egg apparatus = egg cell + 2 synergids (at micropylar end). 3 antipodal cells at chalazal end. Central cell has 2 polar nuclei that fuse with one sperm → triploid endosperm (3n).

Numerical details of megasporogenesis and the 7-celled, 8-nucleate embryo sac (Polygonum type).

Double Fertilization & Endosperm Ploidy

N
Sperm1+Egg cell (n)Zygote (2n)(Syngamy)\text{Sperm}_1 + \text{Egg cell (n)} \to \text{Zygote (2n)} \quad \text{(Syngamy)}
Sperm2+Polar nuclei (n + n)Primary Endosperm Nucleus (3n)(Triple Fusion)\text{Sperm}_2 + \text{Polar nuclei (n + n)} \to \text{Primary Endosperm Nucleus (3n)} \quad \text{(Triple Fusion)}
Endosperm is triploid (3n)\text{Endosperm is triploid (3n)}
Embryo develops from zygote (2n)\text{Embryo develops from zygote (2n)}
Parameters & Definitions

Both events = double fertilization (unique to angiosperms, discovered by S.G. Nawaschin). Endosperm provides nutrition to the developing embryo. In some plants (e.g., orchids, Alisma), endosperm development is suppressed.

The unique double fertilization event in angiosperms producing diploid zygote and triploid endosperm.

Microsporogenesis & Pollen Development

N
1 MMC (Microspore Mother Cell, 2n)Meiosis4 microspores (n)\text{1 MMC (Microspore Mother Cell, 2n)} \xrightarrow{\text{Meiosis}} 4 \text{ microspores (n)}
Each microspore1 pollen grain\text{Each microspore} \to \text{1 pollen grain}
Pollen grains from n MMCs=4n\text{Pollen grains from } n \text{ MMCs} = 4n
Meiotic divisions for P pollen grains=P4\text{Meiotic divisions for } P \text{ pollen grains} = \frac{P}{4}
Parameters & Definitions

Each microspore mother cell (2n) undergoes meiosis to produce a tetrad of 4 microspores. Each microspore develops into a pollen grain (male gametophyte) with 2 cells: vegetative (tube) cell and generative cell.

Calculation of pollen grains and meiotic divisions from microspore mother cells.

Seed & Fruit Numerical Relations

N
Minimum pollen grains for n seeds=n\text{Minimum pollen grains for } n \text{ seeds} = n
Minimum meiotic divisions (pollen)=n4\text{Minimum meiotic divisions (pollen)} = \frac{n}{4}
Minimum meiotic divisions (ovule)=n\text{Minimum meiotic divisions (ovule)} = n
1 ovule1 seed\text{1 ovule} \to \text{1 seed}
OvaryFruit; OvuleSeed\text{Ovary} \to \text{Fruit; Ovule} \to \text{Seed}
Parameters & Definitions

Each ovule needs 1 pollen tube (with 2 sperms) for double fertilization. 1 anther typically has 4 pollen sacs (microsporangia). True fruit develops from ovary only; false fruit includes other floral parts (e.g., thalamus in apple).

Relationship between ovules, seeds, pollen grains, and fruits.

15. Reproductive Health

Contraceptive Methods & Effectiveness

Contraceptive Methods Classification

N
Natural: Rhythm method, Coitus interruptus, Lactational amenorrhea\text{Natural: Rhythm method, Coitus interruptus, Lactational amenorrhea}
Barrier: Condoms, Diaphragm, Cervical cap\text{Barrier: Condoms, Diaphragm, Cervical cap}
IUDs: Cu-T (Cu2+ ions), LNG-20 (progesterone)\text{IUDs: Cu-T (Cu}^{2+} \text{ ions), LNG-20 (progesterone)}
Hormonal: Pills (E + P), Implants, Injections\text{Hormonal: Pills (E + P), Implants, Injections}
Surgical: Vasectomy (male), Tubectomy (female)\text{Surgical: Vasectomy (male), Tubectomy (female)}
Parameters & Definitions

Cu-T releases copper ions that are spermicidal. Hormonal methods inhibit ovulation and alter cervical mucus. Surgical methods are permanent. MTP (Medical Termination of Pregnancy) is legal in India up to 20 weeks (extended to 24 weeks for special categories under MTP Act 2021).

Classification of contraceptive methods based on mechanism and their typical use effectiveness.

Assisted Reproductive Technologies

ART Methods

N
IVF: In Vitro Fertilization (test tube baby)\text{IVF: In Vitro Fertilization (test tube baby)}
ZIFT: Zygote transferred to fallopian tube (8-cell stage)\text{ZIFT: Zygote transferred to fallopian tube (8-cell stage)}
IUT/GIFT: Transfer of gametes/embryo (> 8 cells) to uterus\text{IUT/GIFT: Transfer of gametes/embryo (> 8 cells) to uterus}
ICSI: Intra-Cytoplasmic Sperm Injection (single sperm into ovum)\text{ICSI: Intra-Cytoplasmic Sperm Injection (single sperm into ovum)}
AI: Artificial Insemination (semen into vagina/uterus)\text{AI: Artificial Insemination (semen into vagina/uterus)}
Parameters & Definitions

IVF-ET = In Vitro Fertilization and Embryo Transfer. ZIFT transfers zygote/early embryo into fallopian tube. GIFT = Gamete Intra-Fallopian Transfer (gametes, not zygote). AI is simplest ART for cases of low sperm count.

Classification and key differences between major assisted reproductive technologies.

16. Morphology of Flowering Plants

Floral Formulas & Diagrams

Floral Formula Notation System

N
Solanaceae: K(5)C(5)A5G(2)\text{Solanaceae: } \oplus \, \bigcirc \, K_{(5)} \, C_{(5)} \, A_5 \, G_{(2)}
Fabaceae (Papilionaceae): %  K(5)C1+2+(2)A(9)+1G1\text{Fabaceae (Papilionaceae): } \% \; \bigcirc \, K_{(5)} \, C_{1+2+(2)} \, A_{(9)+1} \, G_1
Liliaceae:   Br  P3+3A3+3G(3)\text{Liliaceae: } \oplus \; Br \; P_{3+3} \, A_{3+3} \, G_{(3)}
Parameters & Definitions

\oplus = actinomorphic; %\% = zygomorphic; \bigcirc = bisexual; KK = calyx; CC = corolla; PP = perianth (tepals); AA = androecium; GG = gynoecium; (  )(\;) = fusion; G\overline{G} = superior ovary; G\underline{G} = inferior ovary.

Standard notation for representing the number and arrangement of floral parts in plant families.

Root, Stem & Leaf Numerics

Phyllotaxy & Leaf Arrangement Angles

N
Alternate: 1 leaf per node, 180° divergence (e.g., Mustard)\text{Alternate: } 1 \text{ leaf per node, } 180° \text{ divergence (e.g., Mustard)}
Opposite: 2 leaves per node, 90° (decussate, e.g., Calotropis)\text{Opposite: } 2 \text{ leaves per node, } 90° \text{ (decussate, e.g., Calotropis)}
Whorled: >2 leaves per node (e.g., Alstonia)\text{Whorled: } > 2 \text{ leaves per node (e.g., Alstonia)}
Fibonacci angle137.5° (optimizes light capture)\text{Fibonacci angle} \approx 137.5° \text{ (optimizes light capture)}
Parameters & Definitions

Phyllotaxy determines the fraction of stem circumference between successive leaves. In alternate phyllotaxy, the fraction is typically 1/2, 1/3, 2/5, 3/8, etc. following the Fibonacci series.

Angular divergence between successive leaves in different phyllotaxy patterns.

17. Anatomy of Flowering Plants

Vascular Bundle & Tissue System

Secondary Growth & Annual Rings

N
Age of tree (years)=Number of annual rings\text{Age of tree (years)} = \text{Number of annual rings}
Annual ring=1 spring wood+1 autumn wood\text{Annual ring} = 1 \text{ spring wood} + 1 \text{ autumn wood}
Heart wood (duramen): dark, dead, central\text{Heart wood (duramen): dark, dead, central}
Sap wood (alburnum): light, functional, peripheral\text{Sap wood (alburnum): light, functional, peripheral}
Parameters & Definitions

Dendrochronology = study of annual rings to determine tree age and past climate. Spring wood (early wood) has wider vessels; autumn wood (late wood) has narrower vessels. Vascular cambium produces secondary xylem (inward) and secondary phloem (outward).

Calculation of tree age from annual rings and key measurements in secondary growth.

18. Animal Kingdom

Classification Basis & Body Plans

Germ Layers & Body Symmetry Classification

N
Diploblastic: 2 layers (Ectoderm + Endoderm)Coelenterata\text{Diploblastic: 2 layers (Ectoderm + Endoderm)} \to \text{Coelenterata}
Triploblastic: 3 layers (Ecto + Meso + Endo)Platyhelminthes onward\text{Triploblastic: 3 layers (Ecto + Meso + Endo)} \to \text{Platyhelminthes onward}
Acoelomate: no body cavityPlatyhelminthes\text{Acoelomate: no body cavity} \to \text{Platyhelminthes}
Pseudocoelomate: false coelomAschelminthes\text{Pseudocoelomate: false coelom} \to \text{Aschelminthes}
Eucoelomate (true coelom): Schizo-Annelida onward\text{Eucoelomate (true coelom): Schizo-} \to \text{Annelida onward}
Parameters & Definitions

Coelom = body cavity lined by mesoderm on both sides. Schizocoelom develops from splitting of mesoderm (protostomes). Enterocoelom develops from archenteron pouches (deuterostomes: Echinodermata, Chordata).

Classification of animals based on number of germ layers, body symmetry, and coelom type.

19. Structural Organisation in Animals

Cockroach Anatomy & Counts

Cockroach (Periplaneta americana) Key Counts

N
Body segments: Head (6) + Thorax (3) + Abdomen (10)=19\text{Body segments: Head (6) + Thorax (3) + Abdomen (10)} = 19
Legs=3 pairs (one per thoracic segment)\text{Legs} = 3 \text{ pairs (one per thoracic segment)}
Wings=2 pairs (mesothorax + metathorax)\text{Wings} = 2 \text{ pairs (mesothorax + metathorax)}
Spiracles=10 pairs (2 thoracic + 8 abdominal)\text{Spiracles} = 10 \text{ pairs (2 thoracic + 8 abdominal)}
Malpighian tubules100-150\text{Malpighian tubules} \approx 100\text{-}150
Ovarioles per ovary=8\text{Ovarioles per ovary} = 8
Parameters & Definitions

Head bears compound eyes (mosaic vision, ~2000 ommatidia each), antennae, and mouthparts (biting and chewing type). Blood (haemolymph) is colourless; open circulatory system with 13-chambered dorsal heart. Excretion by Malpighian tubules + uricotelic.

Important numerical facts about cockroach anatomy frequently tested in NEET.

20. Microbes in Human Welfare

Biogas Production & Composition

Biogas Composition & Production

N
CH4 (Methane)50-70%\text{CH}_4 \text{ (Methane)} \approx 50\text{-}70\%
CO230-40%\text{CO}_2 \approx 30\text{-}40\%
H2,H2S: trace amounts\text{H}_2, \text{H}_2\text{S: trace amounts}
Methanogen: Methanobacterium (anaerobic archaebacterium)\text{Methanogen: } \textit{Methanobacterium} \text{ (anaerobic archaebacterium)}
Parameters & Definitions

Biogas is produced in anaerobic digesters (biogas plants). Cattle dung (gobar) is the substrate. Three stages: hydrolysis → acidogenesis → methanogenesis. Methanogens are obligate anaerobes found in rumen of cattle and sewage treatment sludge.

Composition of biogas produced by methanogenic bacteria from organic waste.

Sewage Treatment & BOD

Sewage Treatment Stages & BOD Reduction

N
Primary treatment: physical (sedimentation, filtration)\text{Primary treatment: physical (sedimentation, filtration)}
Secondary treatment: biological (aeration, activated sludge)\text{Secondary treatment: biological (aeration, activated sludge)}
BOD reduced by90-95% after secondary treatment\text{BOD reduced by} \approx 90\text{-}95\% \text{ after secondary treatment}
Flocs (activated sludge): Zooglea+fungi + bacteria\text{Flocs (activated sludge): } \textit{Zooglea} + \text{fungi + bacteria}
Parameters & Definitions

BOD = Biochemical Oxygen Demand. Primary effluent → aeration tanks (aerobic microbes reduce organic matter) → settling tanks → effluent released. Anaerobic digester processes sludge → biogas (CH₄). Clean effluent should have BOD < 30 mg/L.

The stages of sewage treatment and the role of microbes in reducing BOD of wastewater.

Industrial Microbiology & Fermented Products

Key Microbial Products & Sources

N
Ethanol: Saccharomyces cerevisiae (yeast)\text{Ethanol: } \textit{Saccharomyces cerevisiae} \text{ (yeast)}
Citric acid: Aspergillus niger\text{Citric acid: } \textit{Aspergillus niger}
Penicillin: Penicillium notatum/chrysogenum\text{Penicillin: } \textit{Penicillium notatum/chrysogenum}
Streptokinase: Streptococcus (clot buster)\text{Streptokinase: } \textit{Streptococcus} \text{ (clot buster)}
Cyclosporin A: Trichoderma polysporum (immunosuppressant)\text{Cyclosporin A: } \textit{Trichoderma polysporum} \text{ (immunosuppressant)}
Statins: Monascus purpureus (cholesterol-lowering)\text{Statins: } \textit{Monascus purpureus} \text{ (cholesterol-lowering)}
Parameters & Definitions

Penicillin (Alexander Fleming, 1928) was the first antibiotic. Statins inhibit HMG-CoA reductase enzyme in cholesterol biosynthesis. Cyclosporin A is used in organ transplant patients. Streptokinase dissolves blood clots in myocardial infarction.

Important microbially-derived products, their source organisms, and applications.

21. Plant Kingdom

Alternation of Generations

Sporophyte vs Gametophyte Dominance

N
Bryophytes: Gametophyte (n) dominant, Sporophyte (2n) dependent\text{Bryophytes: Gametophyte (n) dominant, Sporophyte (2n) dependent}
Pteridophytes: Sporophyte (2n) dominant, Gametophyte (n) = prothallus\text{Pteridophytes: Sporophyte (2n) dominant, Gametophyte (n) = prothallus}
Gymnosperms: Sporophyte (2n) dominant, seeds naked\text{Gymnosperms: Sporophyte (2n) dominant, seeds naked}
Angiosperms: Sporophyte (2n) dominant, seeds enclosed in fruit\text{Angiosperms: Sporophyte (2n) dominant, seeds enclosed in fruit}
Trend: n dominanceevolution2n dominance\text{Trend: } n \text{ dominance} \xrightarrow{\text{evolution}} 2n \text{ dominance}
Parameters & Definitions

Gametophyte = haploid (n), produces gametes by mitosis. Sporophyte = diploid (2n), produces spores by meiosis. In bryophytes, the sporophyte is attached to and nutritionally dependent on the gametophyte. In higher plants, the reverse is true.

The relative dominance of haploid and diploid phases across plant groups.