The escape velocity of a body from a planet’s surface is v_e. A dimensionless analysis-style check uses the form v_e = k·G^a·M^b·R^c, where G is the gravitational constant, M the planet’s mass and R its radius. The exponents (a, b, c) are:

A physical quantity Z is measured as Z = A²B^(1/2)/(C^(1/3)D³). The percentage errors in A, B, C, D are 1%, 2%, 3%, 4% respectively. The maximum percentage error in Z is closest to:

A projectile is launched at 20 m/s at 60° above horizontal (g = 10 m/s²). The radius of curvature of its trajectory at the highest point is:

Two particles are projected simultaneously from the same point with equal speeds u, one at angle θ and the other at (90°−θ) above the horizontal. The ratio of their maximum heights H₁/H₂ is:

Two blocks A (4 kg) and B (2 kg) are connected by a light string over a frictionless pulley, A on a rough horizontal table (μ = 0.5) and B hanging. The acceleration of the system is (g = 10 m/s²):

A car takes a banked turn of radius 80 m with banking angle 45° and tyre-road friction μ = 0.5 (g = 10). The maximum speed for which the car does not skid up the bank is closest to:

A particle of mass m moving at speed v collides head-on and perfectly inelastically with a stationary particle of mass 2m. The fraction of the initial kinetic energy lost in the collision is:

A solid sphere and a hollow sphere of the same mass and radius roll without slipping down the same incline from rest. The ratio v_solid²/v_hollow² of their speeds at the bottom is:

A uniform rod of mass M and length L rotates about a horizontal axis through one end (I = ML²/3). It is released from horizontal. The angular acceleration when the rod is 30° below horizontal is:

A disc of moment of inertia I₁ = 4 kg·m² rotating at 9 rad/s is coupled coaxially to a stationary disc I₂ = 2 kg·m². They reach a common angular velocity. The fraction of initial rotational KE lost is:

A satellite in a circular orbit of radius r (total energy magnitude E = GMm/2r) is moved to an orbit of radius 2r. The additional energy required is:

Water flows through a horizontal pipe whose area decreases from 10 cm² to 5 cm². Speed in the wider section is 2 m/s and gauge pressure there is 8000 Pa. The gauge pressure in the narrower section is (ρ = 1000 kg/m³):

Two soap bubbles of radii 3 cm and 4 cm coalesce isothermally under isothermal conditions to form a single bubble. Using the surface-energy (excess-pressure) relation, the radius of the resulting single bubble is:

One mole of an ideal monoatomic gas undergoes a cycle: (1) isothermal expansion at 600 K doubling volume, (2) isochoric cooling to 300 K, (3) isothermal compression at 300 K halving volume, (4) isochoric heating to 600 K. Net work in one cycle (R = 8.3 J/mol·K, ln2 = 0.69):

A gas mixture contains n₁ moles of a monoatomic gas (γ=5/3) and n₂ moles of a diatomic gas (γ=7/5). If the effective ratio of specific heats of the mixture is exactly 1.5, the ratio n₁/n₂ is:

A particle in SHM has speed 8 cm/s at displacement 3 cm and speed 6 cm/s at displacement 4 cm. The amplitude of the motion is:

A 1 kg block on a frictionless surface attached to a spring (k = 100 N/m) executes SHM of amplitude 0.1 m. A 1 kg putty lump is dropped and sticks to the block exactly at the equilibrium position. The new amplitude is:

Two tuning forks A (320 Hz) and B produce 5 beats/s. On loading B with wax the beat frequency increases to 8/s. The original frequency of B was:

A closed organ pipe and an open organ pipe of the same length L have their air columns vibrating. The frequency of the 3rd overtone of the open pipe is what multiple of the fundamental of the closed pipe?

An electric dipole is placed at the centre of a hollow conducting sphere. The electric flux through the sphere and the electric field just outside the sphere are respectively:

A parallel plate capacitor (area A, separation d) is half-filled (lower half of the gap, parallel to plates) with dielectric K; the rest is air. The capacitance is:

Three point charges +q, +q and −2q are fixed at the vertices of an equilateral triangle of side a. The magnitude of the electric dipole moment of this configuration is:

A hollow conducting sphere of radius R carries charge Q. The electric potential at a distance R/2 from its centre is:

In the network, a 12 V battery (internal resistance 1 Ω) drives a Wheatstone-like arrangement: 2 Ω and 4 Ω in series form one branch, 3 Ω and 6 Ω in series form a parallel branch, and a 9 Ω galvanometer-type resistor bridges the two midpoints. The bridge is balanced. The total current drawn from the battery is closest to:

In a metre bridge, the balance point with an unknown resistance X in the left gap and a known 6 Ω in the right gap is at 40 cm from the left end. If X and 6 Ω are interchanged, the new balance point (from the left end) is at:

How many of the following statements are correct? (1) Drift velocity is of order 10⁻⁴ m/s for typical currents. (2) Current density J = nev_d. (3) Drift velocity is independent of the applied electric field. (4) Resistivity of a metallic conductor increases with temperature.

A potentiometer wire of length 10 m has a resistance of 20 Ω and is connected to a 2 V driver cell of negligible internal resistance through a 30 Ω series resistance. The potential gradient along the wire is:

A circular coil of 100 turns and radius 0.1 m carries 2 A. It is placed in a uniform field of 0.5 T with its plane parallel to the field. The torque on the coil is:

Two long parallel wires 10 cm apart carry 5 A and 10 A in the same direction. The magnetic field at the midpoint between them and the nature of the mutual force are (μ₀/4π = 10⁻⁷):

A charged particle of charge q and mass m enters a region of uniform magnetic field B at speed v perpendicular to B, describing a circle. If its speed is doubled and the field is halved, the ratio of the new radius to the original radius is:

A series LCR circuit has L = 2 H, C = 8 μF, R = 50 Ω. At resonance the quality factor Q is:

In a series LCR AC circuit at resonance, the applied rms voltage is 200 V, R = 40 Ω and X_L = X_C = 100 Ω. The rms voltage across the inductor is:

A square loop of side 0.1 m and resistance 2 Ω moves at constant velocity 5 m/s out of a uniform magnetic field 0.4 T directed into the page, with one side perpendicular to the velocity. The magnitude of the induced current while the loop is partly in the field is:

An EM wave travels in vacuum along +z with E = E₀ sin(kz − ωt) x̂. At the instant E points along +x, the directions of the Poynting vector and the magnetic field are respectively:

A point object lies on the principal axis of an equiconvex lens of focal length 20 cm. A plane mirror is placed 10 cm behind the lens, perpendicular to the axis. For the final image to coincide with the object, the object must be placed in front of the lens at a distance of:

A thin prism of angle 6° and refractive index 1.5 is combined with another thin prism of refractive index 1.6 to give dispersion without deviation. The angle of the second prism is:

Match Column I (optical instrument quantity) with Column II (governing relation): A. Magnifying power of compound microscope — i. f₀/f_e B. Magnifying power of telescope (normal adjustment) — ii. (L/f₀)(D/f_e) C. Resolving power of telescope — iii. D/(1.22λ) D. Limit of resolution of microscope — iv. 1.22λ/(2 n sinθ)

In Young’s double-slit experiment, two points P and Q on the screen correspond to path differences λ/3 and λ/4 respectively. The ratio of intensities I_P/I_Q (relative to the maximum I₀) is:

Light of wavelength 300 nm falls on a metal whose threshold wavelength is 600 nm. The maximum kinetic energy of the emitted photoelectrons and the stopping potential are (hc ≈ 1240 eV·nm):

An electron and a proton have the same de Broglie wavelength. The ratio of their kinetic energies KE_electron/KE_proton is (m_p/m_e ≈ 1836):

In the Balmer series of hydrogen, the ratio of the wavelengths of the first member (Hα, n=3→2) to the second member (Hβ, n=4→2) is:

The binding energy per nucleon is 7.1 MeV for ⁴He and 1.1 MeV for ²H. The energy released when two deuterons fuse into one ⁴He is closest to:

A radioactive sample has a half-life of 20 minutes. The fraction remaining undecayed after 50 minutes is closest to:

A Zener diode rated at 6 V is used with a series resistance of 200 Ω across an unregulated 9 V supply, feeding a load. If the load draws 10 mA, the current through the Zener diode is:

In a logic circuit, inputs A and B feed an OR gate; the OR output and input A feed a NAND gate; the NAND output is inverted by a NOT gate to give Y. For A = 1, B = 0, the output Y is:

For the reaction N₂O₄(g) ⇌ 2NO₂(g), 1 mole of N₂O₄ is taken in a 1 L vessel. At equilibrium, the degree of dissociation is 0.2. The value of Kc is:

A buffer is prepared by mixing 50 mL of 0.2 M NH₄OH (Kb = 1.8 × 10⁻⁵) with 50 mL of 0.2 M NH₄Cl. To this buffer, 10 mL of 0.1 M HCl is added. The approximate pH of the resulting solution is (log 1.8 = 0.26, total volume 110 mL):

For the equilibrium A(g) ⇌ 2B(g), the Kp at 300 K is 8 atm. If the total pressure at equilibrium is doubled (by reducing volume at constant T), which statement is correct about the position of equilibrium and degree of dissociation α?

The Ksp of Mg(OH)₂ is 1.0 × 10⁻¹¹. A solution is 0.01 M in MgCl₂. The minimum pH at which Mg(OH)₂ just begins to precipitate is approximately:

Match List I (complex) with List II (spin-only magnetic moment in BM) and choose the correct option: List I: (A) [Fe(H₂O)₆]²⁺ (B) [Fe(CN)₆]⁴⁻ (C) [CoF₆]³⁻ (D) [Co(NH₃)₆]³⁺ List II: (i) 0 (ii) 4.90 (iii) 0 (iv) 4.90

The IUPAC name of the complex [Cr(NH₃)₄Cl₂]⁺ and the number of its possible geometrical isomers are respectively:

For the complex ion [Mn(CN)₆]³⁻, the d-electron configuration in the crystal field, number of unpaired electrons, and crystal field stabilisation energy (in Δ₀, ignoring pairing energy) are respectively:

Which of the following statements about coordination compounds is/are correct? (I) [Ni(CN)₄]²⁻ is square planar and diamagnetic. (II) The complex [Co(en)₂Cl₂]⁺ shows both geometrical and optical isomerism. (III) EAN of the central metal in [Fe(CN)₆]⁴⁻ is 36. (IV) In [Cr(H₂O)₆]³⁺, the d-orbital splitting absorbs in the visible region giving colour.

The increasing order of acidity of the following carboxylic acids: (i) FCH₂COOH (ii) ClCH₂COOH (iii) CH₃COOH (iv) O₂N–CH₂COOH

Three carbocations are generated: (P) the cation from heterolysis of 1-chloro-2,2-dimethylpropane (neopentyl chloride) after rearrangement, (Q) the cyclopropylmethyl cation, and (R) the tropylium (cycloheptatrienyl) cation. Identify the correct order of decreasing thermodynamic stability:

The total number of structural isomers possible for C₄H₈ (including ring and chain, excluding stereoisomers) is:

A first-order reaction is 20% complete in 10 minutes. The time required for the reaction to be 75% complete is approximately (log 2 = 0.301, log 1.25 = 0.097):

The rate constant of a reaction doubles when temperature rises from 300 K to 310 K. The activation energy (Ea) is approximately (R = 8.314 J/K/mol, log 2 = 0.301):

For the gas-phase reaction 2A + B → products, the following initial-rate data were collected: [A]/M [B]/M Rate(M/s) 0.10 0.10 1.2×10⁻⁴ 0.20 0.10 2.4×10⁻⁴ 0.20 0.20 9.6×10⁻⁴ The rate law, overall order, and rate constant are respectively:

In aqueous solution the basicity of methylamine, dimethylamine and trimethylamine does NOT follow the simple +I-effect order. Arrange NH₃, CH₃NH₂, (CH₃)₂NH and (CH₃)₃N in the correct decreasing order of basicity in water, and identify why trimethylamine is not the strongest:

An aromatic compound (C₇H₉N) is optically inactive, gives a positive carbylamine test, and on reaction with NaNO₂/HCl at 273 K followed by warming gives a phenol. The compound is:

Consider the sequence: C₆H₅NH₂ ──(i) NaNO₂/HCl, 273–278 K──> P ──(ii) HBF₄, then Δ──> Q ──(iii) CuCN/KCN──> R is NOT formed from Q in step (iii); instead identify P, and the product obtained when the SAME diazonium P is treated directly with CuCN/KCN. The diazonium salt P and the product of P + CuCN are respectively:

According to molecular orbital theory, which of the following statements is/are correct? (I) The bond order of N₂⁺ is 2.5 and it is paramagnetic. (II) O₂²⁻ (peroxide) has bond order 1 and is diamagnetic. (III) The bond dissociation energy of N₂ is greater than that of N₂⁺. (IV) C₂ molecule has a bond order of 2 with both bonds being π-bonds.

The correct order of dipole moment among the following is:

For the species ClF₃, the hybridisation of the central atom, the molecular shape, and the number of lone pairs on the central atom are respectively:

For the reaction C(graphite) + O₂(g) → CO₂(g), ΔH = −393.5 kJ/mol. Given ΔH for C(graphite) + ½O₂ → CO is −110.5 kJ/mol. The enthalpy of combustion of CO to CO₂ is:

For a reaction at 500 K, ΔH = +30 kJ/mol and ΔS = +100 J/K/mol. The Gibbs energy change ΔG and the spontaneity are:

Assertion (A): For the isothermal reversible expansion of an ideal gas, ΔU = 0 but the work done by the gas is non-zero. Reason (R): For an ideal gas, internal energy depends only on temperature, and during expansion the gas absorbs heat equal to the work done.

Match List I (species) with List II (correct structural/bonding feature) and choose the correct option: List I: (A) XeF₄ (B) XeO₃ (C) ICl₃ (D) H₃PO₃ List II: (i) square planar, 2 lone pairs on Xe (ii) pyramidal, 1 lone pair on Xe (iii) dimeric I₂Cl₆ in solid, T-shaped monomer (iv) dibasic, one P–H bond

How many of the following statements about p-block elements are correct? (I) The acidic strength of oxoacids of chlorine increases: HClO < HClO₂ < HClO₃ < HClO₄. (II) Among the hydrides of group 15, basicity decreases NH₃ > PH₃ > AsH₃ > SbH₃. (III) In interhalogen compounds AX₃, the geometry is T-shaped. (IV) The thermal stability of group 16 hydrides decreases H₂O > H₂S > H₂Se > H₂Te. (V) Boron forms electron-deficient hydrides like B₂H₆ with 3-centre-2-electron bonds.

Assertion (A): The structure of XeOF₄ is square pyramidal. Reason (R): Xe in XeOF₄ is sp³d² hybridised with one lone pair.

In the reaction sequence: CH₃CHO ──dil. NaOH──> A (aldol) ──Δ, −H₂O──> B. The product B and the type of compound it is are:

Which one of the following will NOT undergo the Cannizzaro reaction but WILL give a positive iodoform test (odd-one-out)?

Match List I (reaction/reagent) with List II (product/transformation) and choose the correct option: List I: (A) HVZ reaction (B) Clemmensen reduction (C) Rosenmund reduction (D) Etard reaction List II: (i) C=O of ketone → CH₂ (acidic medium) (ii) α-halogenation of carboxylic acid (iii) acyl chloride → aldehyde (iv) toluene → benzaldehyde

Three sugars are tested: (P) a disaccharide that on hydrolysis gives glucose + fructose and does not reduce Tollens’ reagent; (Q) a disaccharide of two glucose units joined α-1,4 that DOES reduce Tollens’; (R) a disaccharide of galactose + glucose that reduces Tollens’. Identify P, Q and R and the reason P is non-reducing:

Assertion (A): In the native (3D) structure of proteins, the α-helix is stabilised primarily by hydrogen bonds. Reason (R): The secondary structure of proteins arises from regular folding of the polypeptide backbone, while the primary structure refers to the sequence of amino acids linked by peptide bonds.

For the cell reaction Ni(s) + 2Ag⁺(aq) → Ni²⁺(aq) + 2Ag(s), E°cell = 1.05 V. If [Ag⁺] = 0.01 M and [Ni²⁺] = 0.10 M, the cell EMF at 298 K is (2.303RT/F = 0.059):

When a current of 0.5 A is passed for 32 minutes 10 seconds through a solution of CuSO₄, the mass of copper (atomic mass 63.5) deposited at the cathode is (F = 96500 C):

A 5% (by mass) solution of cane sugar (M = 342) is isotonic with a 0.877% (by mass) solution of an unknown solute X. The molar mass of X is approximately (assume equal densities, dilute solutions):

The freezing point of an aqueous solution of 0.1 m FeCl₃ (assuming 80% dissociation, Kf = 1.86 K kg/mol) is approximately:

A hydrocarbon X (C₅H₈) decolourises bromine water, gives a white precipitate with ammoniacal AgNO₃, and on hydration with dilute H₂SO₄/HgSO₄ gives a single ketone of formula C₅H₁₀O. The structure of X is:

An alkene X (C₆H₁₂) on reductive ozonolysis (O₃; then Zn/H₂O) gives only propanal (CH₃CH₂CHO) as the carbonyl product. The structure of X and the type of alkene it is are:

The increasing order of acidity (i.e., from highest to lowest pKa) of the following phenols is: (i) phenol (ii) p-nitrophenol (iii) p-cresol (p-methylphenol) (iv) p-chlorophenol

To prepare 2-ethoxy-2-methylpropane (tert-butyl ethyl ether) by Williamson synthesis with the highest yield and least elimination, the correct pair of reactants is:

For the solvolysis (SN1) of the following chlorides in aqueous ethanol, identify the correct rate order AND the controlling factor: (i) CH₃Cl, (ii) C₆H₅CH₂Cl (benzyl), (iii) (C₆H₅)₂CHCl (benzhydryl), (iv) (C₆H₅)₃CCl (trityl).

Match List I (ion) with List II (calculated spin-only magnetic moment, BM) for aqueous high-spin complexes and choose the correct option: List I: (A) Ti³⁺ (B) V³⁺ (C) Cr³⁺ (D) Mn²⁺ List II: (i) 1.73 (ii) 2.83 (iii) 3.87 (iv) 5.92

On strong heating, 1.00 g of a sample containing only the hydrated carbonate MgCO₃·xH₂O loses both its water and CO₂, leaving 0.345 g of MgO (Mg=24, C=12, O=16, H=1). The value of x (moles of water of crystallisation per formula unit) is approximately:

For the 4f, 5d and 6s orbitals of an atom, consider their radial and angular nodes. Which statement is correct?

In an acidified solution, 25.0 mL of a KMnO₄ solution exactly oxidises 25.0 mL of 0.10 M FeSO₄ AND, separately, the same KMnO₄ would require a different volume of 0.10 M oxalic acid (H₂C₂O₄) for the same 25.0 mL aliquot. What is the molarity of the KMnO₄, and what volume of 0.10 M oxalic acid would 25.0 mL of this KMnO₄ oxidise? (MnO₄⁻ → Mn²⁺; Fe²⁺→Fe³⁺; C₂O₄²⁻→2CO₂)

Assertion (A): The first ionisation enthalpy of nitrogen is greater than that of oxygen, and that of beryllium is greater than that of boron. Reason (R): Half-filled (2p³, as in N) and fully-filled (2s², as in Be) sub-shells have extra exchange-energy/symmetry stability, so removing an electron from them requires more energy than from the next element.

In a dihybrid cross between two pea plants, the F2 generation showed a deviation from the expected 9:3:3:1 ratio, instead giving 9:3:4. A student concludes that the two genes are NOT independently assorting. Which interpretation is correct?

Consider the following statements regarding ABO blood grouping in humans: I. The I^A and I^B alleles are codominant to each other. II. Both I^A and I^B are dominant over i. III. A person with blood group AB produces antibodies against both A and B antigens. IV. The i allele is an example of a multiple allele but produces no surface sugar. How many of the above statements are correct?

Genes A, B and C lie on the same chromosome. The recombination frequency between A and B is 8%, between B and C is 12%, and between A and C is 18%. A trihybrid in coupling phase is test-crossed to produce 2000 offspring. Assuming no interference, what is the approximate expected number of DOUBLE-recombinant offspring?

A colour-blind man marries a woman with normal vision whose father was colour-blind. Colour blindness is X-linked recessive. What is the probability that their first son is colour-blind?

A phenotypically normal couple has a son with Klinefelter syndrome (47,XXY) who is also red-green colour-blind, while neither parent is colour-blind. Colour blindness is X-linked recessive. In which parent and which meiotic division did the non-disjunction that produced the extra sex chromosome most likely occur?

Consider the following statements regarding pedigree analysis of an autosomal recessive trait: I. Affected individuals can appear in offspring of two unaffected (carrier) parents. II. The trait typically skips generations. III. Both males and females are affected with roughly equal frequency. IV. An affected father always passes the trait to all daughters. How many statements are correct?

Consider these statements about a transcription unit: I. The promoter is located towards the 5′ end (upstream) of the coding strand. II. The terminator is located towards the 3′ end (downstream) of the coding strand. III. The template strand has 3′->5′ polarity in the direction of transcription. IV. RNA polymerase moves along the template in the 3′->5′ direction, synthesising RNA 5′->3′. How many statements are correct?

In an E. coli lac operon, four mutant strains are constructed and grown in the presence and absence of lactose, with glucose absent. Which mutant would constitutively express the structural genes (z, y, a) at high levels regardless of lactose, even when a normal repressor gene is also present in trans on a plasmid?

In the Meselson-Stahl experiment, E. coli grown in ^15N medium were shifted to ^14N medium. After exactly THREE generations (rounds of replication) in ^14N, what fraction of DNA molecules will be of the hybrid (^15N/^14N) density?

Regarding the genetic code, consider: I. It is degenerate because one amino acid can be coded by more than one codon. II. AUG codes for methionine and also functions as the initiator codon. III. The codon UGA always codes for tryptophan in the standard code. IV. The code is non-overlapping and commaless. How many of the above statements are INCORRECT?

In a labelled diagram of a transcription unit on the coding (sense) strand drawn 5′->3′ left to right, three regions are marked X (left), Y (middle structural gene), Z (right). Which assignment is correct, and what is the polarity of the template strand?

Match Column I (Algal class) with Column II (Stored food / cell-wall product): A. Chlorophyceae – i. Laminarin and mannitol B. Phaeophyceae – ii. Starch C. Rhodophyceae – iii. Floridean starch D. Cell-wall polysaccharide of brown algae – iv. Algin Choose the correct combination:

Assertion (A): Bryophytes are called the amphibians of the plant kingdom. Reason (R): The dominant photosynthetic phase in bryophytes is the diploid sporophyte which is independent of the gametophyte. Select the correct option:

Consider the alternation of generations across plant groups: I. Pteridophytes – dominant sporophyte, free-living gametophyte (prothallus) II. Gymnosperms – dominant sporophyte, gametophyte highly reduced and dependent III. Bryophytes – dominant gametophyte, dependent sporophyte IV. Angiosperms – gametophyte represented by a few-celled structure dependent on sporophyte How many statements are correct?

A unicellular eukaryote shows: a pellicle, two flagella, photosynthesis in light but heterotrophy in darkness, and storage of paramylon (a beta-1,3-glucan) rather than starch. To which group does it belong, and which statement is the odd one (false) for it?

The floral formula (radial symmetry, bisexual) K(5) C(5) A5 G(2) with axile placentation, bicarpellary syncarpous ovary placed obliquely, and a superior ovary corresponds to which family, and which single feature is the diagnostic CHECK against confusion with Liliaceae?

Match Column I (Family) with Column II (Characteristic feature): A. Fabaceae – i. Vexillary aestivation, diadelphous stamens B. Solanaceae – ii. Epipetalous stamens, axile placentation C. Liliaceae – iii. Tepals in two whorls of 3, epiphyllous stamens D. Corolla aestivation in Fabaceae – iv. Descending imbricate Choose the correct combination:

Consider the following terms and their definitions: I. Gamosepalous – sepals united II. Epipetalous – stamens attached to petals III. Marginal placentation – ovules borne along the ventral suture of a monocarpellary ovary IV. Valvate aestivation – margins of sepals/petals just touch without overlapping How many of these definitions are correct?

A flower has a bicarpellary, syncarpous ovary divided into chambers by a false septum (replum), with ovules attached to the parietal placenta. This combination is characteristic of which family and placentation?

In a C4 plant, CO2 is first fixed in mesophyll cells by PEP carboxylase, then decarboxylated in bundle-sheath cells for the Calvin cycle. If a C4 plant fixes 12 molecules of CO2, how many ATP are consumed ONLY for the additional C4 (PEP regeneration) pumping step? (PEP regeneration costs 2 ATP per CO2.)

Two plants, one C3 and one C4, are placed in a sealed transparent chamber under high light and warm temperature. Over time, what outcome is expected, and what is the underlying reason rooted in RuBisCO and CO2 compensation point?

In non-cyclic photophosphorylation, if 1 molecule of O2 is evolved, how many electrons pass through the Z-scheme, and how many ATP and NADPH are produced (per the standard NCERT non-cyclic stoichiometry of 1 ATP and 1 NADPH per 2 electrons)?

During aerobic respiration, oxidation of one molecule of pyruvate to 3 CO2 via the link reaction and Krebs cycle yields how many NADH, FADH2 and GTP directly?

Germinating seeds are placed in a Ganong’s respirometer. In Experiment 1 the seeds (a carbohydrate-rich variety) give an RQ of 1.0, while in Experiment 2 fatty seeds in early germination give an RQ of about 0.7. A third reading shows an RQ greater than 1. Which single explanation correctly accounts for ALL three observations?

Match Column I (Plant growth regulator) with Column II (Characteristic role): A. Gibberellin – i. Bolting in rosette plants; breaks bud and seed dormancy B. Cytokinin – ii. Promotes nutrient mobilisation and delays leaf senescence (Richmond-Lang effect) C. Abscisic acid – iii. Stress hormone; stomatal closure D. Ethylene – iv. Triple response, fruit ripening, breaks dormancy of potato buds Choose the correct combination:

Assertion (A): Vernalisation prevents premature flowering and enables a plant to acquire the competence to flower after exposure to low temperature. Reason (R): In biennials like sugar beet, vernalisation substitutes for the requirement of a long photoperiod. Select the correct option:

Consider the following statements about plant growth: I. Apical dominance is the suppression of growth of lateral buds by the shoot apex, mediated by auxin. II. The phase of cell elongation precedes the phase of cell division (meristematic phase) in growth. III. Arithmetic growth produces a linear curve; geometric growth in limited resources produces a sigmoid (S-shaped) curve. IV. Removal of the shoot tip promotes the growth of lateral branches (used in tea/hedge pruning). How many statements are correct?

Which one of the following correctly describes the mature angiosperm embryo sac (female gametophyte)?

In double fertilisation, one male gamete fuses with the egg (syngamy) and the other with the two polar nuclei (triple fusion). If a plant has 2n = 16, what is the ploidy/chromosome number of the zygote and the primary endosperm nucleus (PEN), respectively?

Assertion (A): Apomixis produces seeds without fertilisation and the resulting offspring are genetically identical to the mother plant. Reason (R): In some Asteraceae and grasses, a diploid egg cell formed without meiosis develops into an embryo without fertilisation. Select the correct option:

At which stages of the cell cycle are the major checkpoints located, and what does the G2/M checkpoint specifically verify?

Consider the following distinctions between mitosis and meiosis: I. Crossing over occurs during pachytene of prophase I in meiosis but not in mitosis. II. Synapsis (pairing of homologues) occurs in both mitosis and meiosis. III. Chromosome number is halved in meiosis I (reductional) and maintained in meiosis II (equational). IV. Sister chromatids separate in anaphase of mitosis and in anaphase II of meiosis. How many statements are correct?

A diploid plant cell (2n = 12) is observed. In which of the following will the DNA content be 4C while the chromosome number is still 12?

Match Column I (Cell organelle) with Column II (Distinctive feature): A. Mitochondria – i. 70S ribosomes, double membrane, cristae, own circular DNA B. Rough ER – ii. Ribosomes on surface; synthesis of secretory proteins C. Golgi apparatus – iii. Cis and trans faces; glycosylation and packaging D. Lysosome – iv. Acid hydrolases active at acidic pH; intracellular digestion Choose the correct combination:

An enzyme follows Michaelis-Menten kinetics with Km = 5 mM and Vmax = 100 micromol/min. At a substrate concentration [S] = 15 mM, what is the reaction velocity (using v = Vmax[S]/(Km+[S]))?

Consider the following statements about biomolecules: I. Cellulose is a polysaccharide with beta-1,4 glycosidic linkages and no helical secondary structure. II. Proteins can have quaternary structure only if composed of more than one polypeptide chain. III. A nucleoside consists of a nitrogenous base, a sugar and a phosphate group. IV. The primary structure of a protein refers to the sequence of amino acids. How many statements are correct?

A circular plasmid vector and a piece of foreign DNA are both cut with the SAME restriction enzyme producing sticky ends, then mixed with DNA ligase. Besides the desired recombinant, several unwanted products form. Which strategy BEST ensures that only vectors carrying an insert are selected, exploiting insertional inactivation?

Assertion (A): In Bt cotton, the cry genes are introduced to confer resistance against certain insect pests. Reason (R): The Bt toxin is produced as an active toxin in Bacillus thuringiensis and immediately kills the bacterium that produces it. Select the correct option:

A PCR begins with 1 double-stranded template molecule. Because the first cycle’s products have one strand longer than the target (only one primer-defined end), the discrete double-stranded fragments of EXACTLY the target length (both ends defined by primers) first appear in cycle 3 and accumulate as 2^n – 2n. After 5 complete cycles, how many such exact-length double-stranded amplicons are present?

In a terrestrial ecosystem, gross primary productivity (GPP) of producers is 20,000 kcal/m2/yr and respiratory loss (R) by producers is 12,000 kcal/m2/yr. If only 10% of net primary productivity (NPP) is transferred to herbivores, how much energy is available to primary consumers?

Match Column I (Ecological pyramid) with Column II (Nature/feature): A. Pyramid of energy – i. Always upright B. Pyramid of biomass in a sea/pond – ii. Can be inverted (phytoplankton biomass < zooplankton) C. Pyramid of numbers in a tree ecosystem – iii. Inverted (one tree supports many herbivores) D. Pyramid of numbers in a grassland – iv. Generally upright Choose the correct combination:

Two interacting species are studied. Species X benefits while species Y is unaffected; in a second pair, species P is harmed while species Q is unaffected; in a third pair, the larger species M is harmed while the smaller N benefits and lives inside M. Identify, in order, the three interactions (X-Y, P-Q, M-N).

A population shows logistic growth following dN/dt = rN[(K-N)/K]. If K = 500, r = 0.1 per individual per year, and the current population N = 100, what is the instantaneous growth rate (dN/dt) in individuals per year?

The species-area relationship is log S = log C + Z log A, where Z is the slope. Consider: I. For small areas (within a region) Z typically ranges between 0.1 and 0.2. II. For very large areas (e.g., across continents) the slope Z is steeper, between 0.6 and 1.2. III. The relationship was first described by Alexander von Humboldt. IV. A larger Z always means lower species richness regardless of area. How many statements are correct?

Assertion (A): According to the Rivet Popper hypothesis, the loss of key species (rivets) can lead to the collapse of an ecosystem. Reason (R): In Paul Ehrlich’s analogy, every species is a rivet holding an airplane (ecosystem) together, and rivets on key parts (e.g., wings, representing keystone species) are more critical than those on seats. Select the correct option:

In a recombinant DNA experiment, a circular plasmid (6 kb) has two EcoRI sites and one BamHI site. EcoRI cuts creating fragments of 2 kb and 4 kb. A gene of interest (1.5 kb) flanked by EcoRI sites is to be inserted into the 4 kb fragment which carries the origin of replication. How many of the following statements are correct? (i) EcoRI produces sticky ends with 5′ overhangs. (ii) The 2 kb fragment lacking ori cannot independently replicate in the host. (iii) Ligation of the gene requires DNA ligase forming phosphodiester bonds. (iv) The recognition sequence GAATTC is a palindrome read 5′->3′ on both strands.

Match List I (Tool/Step) with List II (Function/Property) and select the correct combination: A. Ligase B. EcoRI C. Agarose gel D. Ethidium bromide I. Separates DNA fragments by size under electric field II. Joins DNA fragments via phosphodiester bonds III. Intercalates DNA, fluoresces orange under UV IV. Cleaves DNA at GAATTC palindrome

During a PCR run, the temperature profile per cycle is denaturation 94 degrees C, annealing 55 degrees C, extension 72 degrees C. Which statement is the single correct one?

Assertion (A): pBR322 carries genes for ampicillin and tetracycline resistance, enabling insertional inactivation as a selectable marker. Reason (R): When foreign DNA is inserted at the BamHI/SalI site within the tetracycline-resistance gene, recombinants become tetracycline-sensitive but ampicillin-resistant.

In a stirred-tank bioreactor producing a recombinant protein, which combination of features is required for optimal aerobic culture? Consider: (1) sparger for oxygen, (2) agitator/impeller, (3) cooling jacket for temperature control, (4) foam control system, (5) anaerobic seal preventing all gas exchange.

Recombinant human insulin (Humulin) is produced by inserting chains A and B as separate DNA sequences in E. coli. Which sequence of events correctly describes its production and assembly?

How many of the following statements about biotechnological applications are correct? (i) Bt toxin Cry proteins exist as inactive protoxins, activated by the alkaline pH of the insect gut. (ii) Cry I Ac and Cry II Ab control cotton bollworms. (iii) RNAi against Meloidogyne incognita in tobacco silences nematode genes via dsRNA. (iv) ADA-SCID gene therapy using lymphocytes provides a permanent cure requiring no repeat infusions. (v) ELISA detects either antigens or antibodies for diagnosis.

Assertion (A): Gene therapy in the first ADA-SCID patient (1990) did not provide a permanent cure. Reason (R): The lymphocytes used were mortal cells, so periodic infusion of genetically engineered cells was required.

An enzyme catalyses: ATP + glucose -> ADP + glucose-6-phosphate. To which class does this enzyme belong, and which statement about it is correct?

The respiratory quotient (RQ) values for substrates are a classic 2026 trap. How many of the following are correctly matched? (i) Carbohydrate – RQ = 1.0 (ii) Fat (tripalmitin) – RQ ~ 0.7 (iii) Protein – RQ ~ 0.9 (iv) Organic acid (malic acid) – RQ > 1.0 (v) Pure anaerobic fermentation of glucose – RQ = 1.0

Match List I (Cofactor type) with List II (Example) and choose the correct option: A. Prosthetic group B. Coenzyme C. Metal ion activator D. Apoenzyme I. NAD+ derived from niacin II. Haem tightly bound in peroxidase III. Zn2+ in carbonic anhydrase IV. Protein portion without cofactor

Assertion (A): The rate of an enzyme-catalysed reaction declines sharply above the optimum temperature. Reason (R): High temperature increases the kinetic energy of substrate molecules.

In a metabolic pool, which of the following statements regarding primary and secondary metabolites is correct?

Match List I (Phylum) with List II (Exclusive diagnostic feature) and choose the correct option: A. Ctenophora B. Aschelminthes C. Annelida D. Echinodermata I. Water-vascular system and radial symmetry in adult II. Metameric segmentation with closed circulation III. Bioluminescence and comb plates for locomotion IV. Pseudocoelom and organ-system grade with complete gut

How many of the following animals are correctly described as triploblastic, coelomate AND deuterostome? (i) Asterias (ii) Balanoglossus (iii) Ascaris (iv) Branchiostoma (v) Petromyzon (vi) Neopilina

Assertion (A): Members of Phylum Porifera lack true tissues despite being multicellular. Reason (R): Cells in sponges are loosely arranged at the cellular grade of organisation, lacking division of labour at the tissue level.

Which one of the following statements correctly distinguishes the notochord criterion in chordate classification?

During human spermatogenesis and oogenesis, how many of the following statements are correct? (i) One primary spermatocyte yields four functional sperms; one primary oocyte yields one functional ovum. (ii) Oogenesis begins before birth and primary oocytes are arrested at diplotene of prophase I. (iii) The secondary oocyte completes meiosis II only after sperm entry. (iv) The first polar body may or may not divide further; the second polar body forms at ovulation before fertilisation. (v) Spermiogenesis is the transformation of spermatids into spermatozoa.

Match List I (Hormone) with List II (Primary role in menstrual cycle) and choose the correct option: A. FSH B. LH C. Estrogen D. Progesterone I. Surge triggers ovulation at mid-cycle II. Stimulates growth of ovarian follicles III. Maintains endometrium during luteal phase IV. Peaks in follicular phase, induces LH surge

Arrange the correct temporal sequence from fertilisation to implantation in humans: 1. Zona pellucida is shed (hatching) 2. Formation of blastocyst with trophoblast and inner cell mass 3. Morula reaches the uterus 4. Trophoblast attaches to the endometrium 5. Cleavage of the zygote in the isthmus/ampulla

Match List I (ART/Contraceptive technique) with List II (Description) and choose the correct option: A. ZIFT B. GIFT C. ICSI D. IUI I. Sperm directly injected into the ovum in vitro II. Zygote/early embryo (up to 8 blastomeres) transferred into the fallopian tube III. Transfer of an ovum collected from a donor into the fallopian tube of a recipient IV. Husband’s/donor’s semen introduced into the uterus

How many of the following statements regarding contraception and reproductive health are correct? (i) Lactational amenorrhoea is effective up to about six months postpartum with no side effects. (ii) Copper-releasing IUDs (CuT) act partly by suppressing sperm motility and fertilising capacity. (iii) Tubectomy and vasectomy are reversible terminal methods. (iv) Saheli is a non-steroidal once-a-week oral pill. (v) MTP is comparatively safe during the first trimester.

In a large randomly mating population, the frequency of an autosomal recessive disorder is 1 in 2500. Assuming Hardy-Weinberg equilibrium, what fraction of the population are carriers (heterozygotes)?

Match List I (Evolutionary evidence) with List II (Example) and choose the correct option: A. Homologous organs B. Analogous organs C. Connecting link D. Atavism I. Wings of butterfly and wings of bird II. Forelimbs of whale, bat and human III. Presence of a rudimentary tail in a human infant IV. Archaeopteryx between reptiles and birds

Assertion (A): The Hardy-Weinberg equilibrium is disturbed by genetic drift but not by mutation alone over evolutionary time. Reason (R): Genetic drift causes random changes in allele frequencies, especially in small populations.

The oxygen-haemoglobin dissociation curve is sigmoid. A rightward shift (Bohr effect) occurs in actively respiring tissues. How many of the following favour a rightward shift (reduced O2 affinity, enhanced unloading)? (i) Rise in pCO2 (ii) Fall in pH (rise in H+) (iii) Rise in temperature (iv) Rise in 2,3-BPG (v) Rise in pO2

In a person, every 100 mL of blood delivers about 4 mL of CO2 to the alveoli, and 100 mL of blood delivers about 5 mL of O2 to tissues. Based on these figures, what is the approximate respiratory exchange ratio (R) at the lungs?

Which one of the following statements regarding the transport of CO2 and regulation of respiration is correct?

Study this description of the ECG: ‘A normal ECG shows a P wave, followed by a QRS complex, then a T wave. The interval from the start of P to the start of QRS represents conduction through a specific structure.’ Which statement is correct?

Assertion (A): In the blood coagulation cascade, conversion of prothrombin to thrombin requires the enzyme complex thrombokinase (prothrombinase). Reason (R): Thrombin then converts soluble fibrinogen into insoluble fibrin threads forming the clot.

In the human nephron, the counter-current mechanism between the loop of Henle and vasa recta maintains a concentration gradient in the medulla. Which statement is correct?

A patient’s kidneys form 180 L of glomerular filtrate per day. If 1.8 L of urine is excreted, what percentage of filtrate is reabsorbed, and which hormone primarily controls the final water reabsorption?

According to the sliding-filament theory, during muscle contraction which set of changes occurs at the sarcomere? Consider: (1) A-band length constant, (2) I-band shortens, (3) H-zone narrows/disappears, (4) Z-lines move apart, (5) actin filaments slide over myosin.

In a resting sarcomere the A-band (thick-filament length) is 1.6 micrometre, and each of the two thin filaments extends 1.0 micrometre from its Z-line, giving a sarcomere length of 2.5 micrometre. Assuming the A-band length is unchanged and no thin filaments meet at the centre, what is the resting H-zone width?

Match List I (Joint) with List II (Type/Example) and choose the correct option: A. Between atlas and axis B. Between carpals C. Knee D. Between skull bones I. Hinge joint II. Pivot joint III. Fibrous (immovable) joint IV. Gliding joint

How many of the following statements about immunity are correct? (i) IgG is the only antibody class able to cross the placenta, giving natural passive immunity. (ii) The antibody monomer has two light and two heavy chains (H2L2). (iii) Active immunity from infection or vaccine is fast-acting and immediate. (iv) Colostrum is rich in IgA, providing passive immunity to the newborn. (v) Cell-mediated immunity is responsible for graft rejection.

Match List I (Disease) with List II (Causal organism) and choose the correct option: A. Filariasis B. Amoebiasis C. Ascariasis D. Ringworm I. Entamoeba histolytica II. Microsporum / Trichophyton III. Wuchereria bancrofti IV. Ascaris lumbricoides

Regarding an action potential along a neuron, which statement is the single correct one?

Assertion (A): In the human eye, the region of the retina where the optic nerve leaves is the blind spot, having no photoreceptors. Reason (R): The fovea centralis (macula lutea) has the highest density of cones, giving the greatest visual acuity.

Match List I (Endocrine condition) with List II (Hormone-gland defect) and choose the correct option: A. Diabetes insipidus B. Cretinism C. Acromegaly D. Addison’s disease I. Hyposecretion of thyroxine in childhood II. Hyposecretion of ADH from neurohypophysis III. Hyposecretion of adrenal cortical hormones IV. Hypersecretion of GH in adults

Which one of the following correctly describes the mechanism of action of a hormone and the hypothalamo-pituitary axis?

Match List I (Tissue) with List II (Location/feature) and choose the correct option: A. Squamous epithelium B. Ciliated columnar epithelium C. Adipose tissue D. Cardiac muscle I. Lines bronchioles and fallopian tubes, moves particles/ova II. Forms walls of blood vessels and air sacs (diffusion boundary) III. Branched, involuntary, striated with intercalated discs IV. Stores fat, found beneath the skin

Match List I (Microbe) with List II (Product/Role) and choose the correct option: A. Acetobacter aceti B. Methanobacterium C. Trichoderma polysporum D. Streptococcus I. Cyclosporin A (immunosuppressant) II. Vinegar (acetic acid) III. Streptokinase (clot buster) IV. Methane (biogas), also found in rumen of cattle

How many of the following statements about microbes in sewage and biogas are correct? (i) Secondary sewage treatment is a biological treatment involving aerobic microbial flocs. (ii) Anaerobic sludge digesters produce a mixture of gases including methane, H2S and CO2. (iii) BOD of sewage decreases when the primary effluent is passed into aeration tanks. (iv) Methanogens like Methanobacterium are present in the rumen of cattle and in biogas plants. (v) Activated sludge is entirely discarded; none is recycled as inoculum.

In a pedigree, a phenotypically normal couple has a son affected with haemophilia and a daughter who is a carrier. How many of the following inferences are correct? (i) The mother is necessarily a carrier (heterozygous) for the haemophilia allele. (ii) The father is necessarily a haemophiliac. (iii) The trait is X-linked recessive. (iv) The probability that their next son is haemophilic is 1/2. (v) An affected daughter would require the father to be haemophilic.