An electric dipole of moment 6 × 10⁻³⁰ C·m is placed in a uniform electric field of 4 × 10⁵ N/C. The maximum torque experienced by the dipole is:

Three capacitors of 2 μF, 3 μF and 6 μF are connected in series across a 30 V battery. The charge on the 3 μF capacitor is:

A spherical conductor of radius R carries a charge Q. The electric field at a distance R/2 from its centre is:

A parallel plate capacitor with air between the plates has capacitance C. When a dielectric slab of dielectric constant K and thickness equal to half the plate separation is inserted, the new capacitance becomes:

In a Wheatstone bridge the resistances are P=10 Ω, Q=15 Ω, R=20 Ω. For balance the value of S is:

A cell of EMF 2 V and internal resistance 0.5 Ω is connected to an external resistor R. The maximum power transferred to R is:

The drift velocity of free electrons in a copper wire of cross-sectional area 1 × 10⁻⁶ m² carrying a current of 1.6 A is (n = 10²⁹ m⁻³):

Two wires of the same material have lengths in ratio 1:2 and radii in ratio 2:1. The ratio of their resistances is:

A circular coil of radius 0.1 m carries a current of 5 A. The magnitude of magnetic field at its centre is:

A bar magnet of magnetic moment M is bent in the shape of a semicircle. Its new magnetic moment is:

A step-down transformer has 2000 turns in the primary and 100 turns in the secondary. If the primary current is 0.5 A, the secondary current (assuming 100% efficiency) is:

A series LCR circuit has L = 100 mH, C = 100 μF and R = 12 Ω. The resonant angular frequency is:

An object is placed 15 cm in front of a concave mirror of focal length 10 cm. The image distance is:

Two thin lenses of focal lengths +20 cm and −10 cm are placed in contact. The power of the combination is:

In Young’s double-slit experiment using light of wavelength 600 nm, the fringe width on a screen 1 m away is 0.6 mm. The slit separation is:

The Brewster angle for a transparent medium of refractive index √3 is:

The de Broglie wavelength of an electron accelerated through 150 V is approximately:

In a photoelectric experiment, the stopping potential for light of wavelength 400 nm is 0.6 V. The work function of the metal is (hc = 1240 eV·nm):

The ratio of the radii of orbits of an electron in the n = 3 and n = 1 states of a hydrogen atom is:

²³⁸U emits an α-particle followed by two β⁻-particles. The atomic number of the resulting nucleus is:

The half-life of a radioactive sample is 20 minutes. After 1 hour, the fraction of nuclei left undecayed is:

A block of mass 2 kg rests on a rough horizontal surface (μ = 0.4). The minimum horizontal force to set it in motion is:

In an Atwood machine with masses 5 kg and 3 kg connected over a frictionless pulley, the acceleration of the system is (g = 10 m/s²):

A force F = (3î + 4ĵ) N acts on a body and displaces it by s = (2î + 3ĵ) m. Work done is:

A pump lifts 2000 kg of water per minute from a well 10 m deep. The power of the pump (g = 10 m/s²) is:

A body of mass m moving with velocity v collides elastically and head-on with another stationary body of mass 2m. The velocity of the first body after collision is:

The moment of inertia of a uniform rod of mass M and length L about an axis through its centre and perpendicular to its length is:

A solid sphere rolls without slipping. The fraction of its total kinetic energy that is rotational is:

In an isothermal expansion of an ideal gas:

The ratio of specific heats γ = Cp/Cv for a diatomic ideal gas is:

At constant temperature, if the pressure of an ideal gas is doubled, the mean free path of its molecules will:

A spring-mass system has time period T. If the mass is doubled and the spring constant is halved, the new time period is:

Two sound waves of frequencies 256 Hz and 260 Hz superpose. The beat frequency is:

The fundamental frequency of a sonometer wire is f. If its length is reduced to one-third while keeping tension constant, the new fundamental frequency is:

A wire of length L and cross-sectional area A is stretched by force F producing extension Δl. Young’s modulus is:

Water rises to height 10 cm in a capillary tube. If the tube is replaced by another of half the radius, water will rise to:

A Zener diode is used as a:

In a p-n junction diode, the depletion region contains:

The escape velocity from the surface of the Earth is 11.2 km/s. From a planet of half the mass and half the radius of the Earth, escape velocity is:

A satellite revolves around the Earth in a circular orbit of radius r. Its orbital velocity is proportional to:

A projectile is fired with speed 20 m/s at 60° to the horizontal. Maximum height attained (g = 10 m/s²):

A car moving at 20 m/s decelerates uniformly at 4 m/s². The distance covered before coming to rest is:

Microwaves are commonly used in:

The dimensional formula of coefficient of viscosity is:

In a Vernier callipers, 10 vernier scale divisions coincide with 9 main scale divisions. If 1 MSD = 1 mm, the least count is:

The number of moles of CO₂ liberated when 50 g of CaCO₃ is heated completely is (atomic masses: Ca=40, C=12, O=16):

The number of significant figures in 0.00408 is:

The maximum number of electrons in a subshell is given by:

For the Balmer series of hydrogen, the longest wavelength corresponds to the transition:

The shape of XeF₄ molecule according to VSEPR theory is:

Which of the following has the highest bond order?

The number of pi (π) bonds in benzene (C₆H₆) is:

Hybridisation of central atom in IF₇ is:

For a spontaneous process at constant T and P:

The work done by 2 moles of an ideal gas during reversible isothermal expansion from 10 L to 100 L at 300 K is (R = 8.314 J/K·mol, ln 10 = 2.303):

Henry’s law constant for a gas in water is 1.0 × 10⁵ atm. The mole fraction of the gas in water at 1 atm is:

A 5% (w/V) solution of glucose (M = 180) in water has molarity:

For the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g), the relationship between Kp and Kc is:

The pH of 0.001 M HCl solution is:

The oxidation state of chromium in K₂Cr₂O₇ is:

How much charge in coulombs is required to deposit 9 g of aluminium (atomic mass 27) from molten Al₂O₃?

For the cell Zn|Zn²⁺(1M)||Cu²⁺(1M)|Cu, E°_cell is 1.10 V. The cell is:

For a first-order reaction, the half-life:

The rate constant of a reaction doubles when temperature is increased from 300 K to 310 K. The activation energy is approximately (R = 8.314 J/K·mol):

Among the following, the element with the largest atomic radius is:

Which of the following oxides is amphoteric?

The most acidic among hydrogen halides is:

Inert pair effect is most pronounced in:

The lanthanoid contraction is responsible for:

KMnO₄ in acidic medium is reduced to:

The number of unpaired electrons in [Fe(H₂O)₆]³⁺ is:

The IUPAC name of [Co(NH₃)₅Cl]Cl₂ is:

Which of the following complexes shows optical isomerism?

In [Ni(CN)₄]²⁻, the hybridisation of Ni and geometry are:

According to crystal field theory, an octahedral complex has Δ₀ such that the d-orbitals split into:

The order of SN1 reactivity for the following halides is: (1) (CH₃)₃C-Br, (2) (CH₃)₂CH-Br, (3) CH₃CH₂-Br, (4) CH₃-Br:

Reaction of chlorobenzene with NaOH at 623 K and 300 atm gives:

Markovnikov’s addition of HBr to propene gives:

The compound that gives a yellow precipitate with NaOI (iodoform test) is:

Which of the following is the most stable carbocation?

Phenol is more acidic than ethanol because:

Lucas reagent (anhydrous ZnCl₂ + conc. HCl) distinguishes:

Tollens’ reagent oxidises:

The product of aldol condensation of two molecules of acetaldehyde is:

Benzaldehyde does NOT undergo:

The order of basic strength of amines in aqueous solution is:

Aniline does not undergo Friedel–Crafts reaction because:

The glycosidic bond in maltose is between:

The secondary structure of proteins is stabilised mainly by:

Vitamin which is fat-soluble and important for blood clotting is:

Mannitol is the reserve food material in:

Bryophytes are called amphibians of plant kingdom because:

Which of the following is NOT a feature of fungi?

Bacterial cell wall is made of:

Bulliform cells are present in:

Which of the following is an example of an underground modified stem?

In aestivation, the petals of a flower in which one petal is innermost and other overlaps it is called:

The cambium responsible for secondary growth in dicot stems is:

The number of chromatids in a chromosome at metaphase of mitosis is:

The fluid-mosaic model of plasma membrane was proposed by:

Crossing over occurs during:

Mitochondria are absent in:

Polytene chromosomes are characteristically found in:

In C3 plants, the first stable product of CO₂ fixation is:

As per NCERT, the net ATP yield from complete aerobic oxidation of one glucose molecule in eukaryotes is:

The site of light reaction of photosynthesis is:

Photorespiration is associated with:

Ethylene is involved in:

Stomatal closure is regulated by:

In glycolysis, the net gain of ATP per glucose molecule is:

In angiosperms, the embryo sac is:

Double fertilisation in angiosperms results in formation of:

Pollination by water (hydrophily) occurs in:

In the embryo sac, the haploid (n) cells are:

Apomixis refers to:

Test cross involves crossing the F1 hybrid with:

In a dihybrid cross between RrYy × RrYy, the phenotypic ratio of F2 generation is:

DNA replication is:

Translation involves the synthesis of:

In the lac operon model of Jacob and Monod, the molecule that acts as an inducer (per NCERT) is:

The number of nitrogenous bases in one turn of B-DNA is approximately:

Hardy–Weinberg principle states that allele frequencies remain constant when:

Methanogens belong to:

The fungus used for the commercial production of citric acid is:

Restriction endonuclease EcoRI cuts DNA at the sequence:

In recombinant DNA technology, the vector pBR322 has antibiotic resistance genes for:

Bt cotton produces an insecticidal protein from the gene of:

PCR (Polymerase Chain Reaction) requires:

The pyramid of energy in any ecosystem is:

Verhulst-Pearl logistic growth equation incorporates:

Mycorrhiza is an example of:

Decomposers in an ecosystem are mainly:

In an ecological pyramid of numbers, which level usually has the maximum number?

In a polysaccharide, the monomers are joined by:

During the Calvin cycle, for the synthesis of one glucose molecule, the number of ATP and NADPH molecules consumed are:

Notochord is present in:

Which of the following animals shows radial symmetry?

Open circulatory system is found in:

Pleurobrachia and Ctenoplana belong to phylum:

Number of segments in earthworm (Pheretima) body is approximately:

Malpighian tubules in cockroach are concerned with:

Hepatic caeca in cockroach are present at the junction of:

The enzyme that converts maltose to glucose in the small intestine is:

Gastric juice contains:

The tidal volume of an average adult human is:

Most CO₂ is transported in blood as:

In the human ECG, the P-wave represents:

Pacemaker of the human heart is:

The functional unit of human kidney is:

Loop of Henle is responsible for:

The neurotransmitter at the neuromuscular junction in vertebrates is:

Cretinism is caused by deficiency of:

Insulin is secreted by:

Sliding filament theory explains:

Total number of bones in adult human skeleton is:

Tetany is caused by:

Spermatogenesis is initiated due to the influence of:

In females, the follicular phase corresponds to the:

Implantation of the embryo in the uterine wall occurs at the stage of:

Copper-T is a:

MTP (Medical Termination of Pregnancy) is generally considered safe up to:

Sickle-cell anaemia is caused by mutation in:

Klinefelter’s syndrome has karyotype:

In humans, sex of the offspring is determined by:

Colour blindness is:

The closest evolutionary relative of modern humans (Homo sapiens) is:

Adaptive radiation is best illustrated by:

The first fossil discovered of human ancestors with bipedal locomotion was:

Widal test is used to diagnose:

AIDS virus contains:

The vector of malaria is:

Filariasis is caused by:

Golden rice is genetically engineered to produce:

Insulin produced by recombinant DNA technology in E. coli is called:

Bt toxin produced by Bacillus thuringiensis is:

Population density that is constant over time despite births and deaths is referred to as:

Synapsis (pairing of homologous chromosomes) occurs during:

Number of chromosomes in human gametes is:

Crossing-over leads to:

In a reflex arc, the correct sequence of components is: