Two point charges +3 μC and −3 μC are placed 20 cm apart in vacuum. The electric field at the midpoint of the line joining the two charges is:

A parallel plate capacitor of capacitance C is charged to a potential V and then disconnected from the battery. If the plates are pulled apart to double the separation, the energy stored in the capacitor becomes:

In the circuit shown, the current through the 2 Ω resistor when a 12 V battery with negligible internal resistance is connected across a series combination of 2 Ω, 4 Ω, and 6 Ω resistors is:

A straight conductor of length 0.5 m carrying a current of 2 A is placed in a uniform magnetic field of 0.4 T perpendicular to the conductor. The force on the conductor is:

The magnetic susceptibility of a paramagnetic material at temperature T is proportional to:

A circular coil of 100 turns and radius 10 cm is placed in a uniform magnetic field of 0.5 T such that the field is perpendicular to the plane of the coil. If the coil is removed from the field in 0.1 s, the average emf induced is:

In an AC circuit, the rms voltage is 220 V and the rms current is 10 A. If the power consumed is 1100 W, the power factor of the circuit is:

Electromagnetic waves travel in vacuum with a speed equal to:

A convex lens of focal length 20 cm forms a real image of an object placed 30 cm from the lens. The magnification produced is:

In Young’s double slit experiment, the fringe width is found to be 0.4 mm. If the entire apparatus is immersed in water of refractive index 4/3, the new fringe width will be:

The work function of a metal is 4.2 eV. The threshold wavelength for photoelectric emission from this metal is approximately:

The radius of the first Bohr orbit of hydrogen atom is 0.53 Å. The radius of the third orbit is:

The binding energy per nucleon is maximum for:

In a p-n junction diode under forward bias, the width of the depletion layer:

The dimensional formula of Planck’s constant is the same as that of:

A block of mass 5 kg is placed on a frictionless surface. A force of 20 N is applied at an angle of 60° with the horizontal. The acceleration of the block is:

A body of mass 2 kg is moving with a velocity of 5 m/s. A force is applied on it for 2 seconds and the body attains a velocity of 11 m/s. The work done by the force is:

The escape velocity from the surface of Earth is v. The escape velocity from the surface of a planet having twice the radius and same mean density as Earth is:

A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F, the increase in length is l. If the radius is doubled and length is halved, the increase in length will be:

In an isothermal process, the internal energy of an ideal gas:

A simple pendulum has a time period T. If its length is increased by 21%, the new time period will be approximately:

The speed of a transverse wave on a stretched string depends on:

The electric flux through a closed surface enclosing a charge q is given by Gauss’s law as:

Three capacitors of capacitance 2 μF, 3 μF and 6 μF are connected in parallel. The equivalent capacitance is:

The resistivity of a semiconductor:

A proton and an alpha particle enter a uniform magnetic field perpendicularly with the same speed. The ratio of the radii of their circular paths (r_p : r_α) is:

The self-inductance of a long solenoid of length l, cross-sectional area A, and total number of turns N is:

At resonance in an LCR series circuit, the impedance of the circuit is:

Which of the following electromagnetic radiations has the shortest wavelength?

A ray of light passes from glass (μ = 1.5) to water (μ = 1.33). The critical angle for total internal reflection is:

The de Broglie wavelength associated with an electron accelerated through a potential difference of 100 V is approximately:

In Rutherford’s alpha particle scattering experiment, the fraction of alpha particles scattered at angles greater than 90° is approximately:

The half-life of a radioactive substance is 30 days. The fraction of the substance that remains after 90 days is:

In a full-wave rectifier using two diodes, the output frequency is:

A projectile is thrown with a velocity of 20 m/s at an angle of 30° with the horizontal. The maximum height reached is: (g = 10 m/s²)

An electric dipole of moment p is placed in a uniform electric field E. The torque on the dipole is maximum when the angle between p and E is:

A galvanometer of resistance 50 Ω gives full-scale deflection for a current of 1 mA. To convert it into a voltmeter of range 0–10 V, the resistance to be connected in series is:

A transformer has 500 turns in the primary and 50 turns in the secondary. If the primary voltage is 220 V, the secondary voltage is:

In a single-slit diffraction experiment, the width of the central maximum is:

The kinetic energy of photoelectrons emitted from a surface is independent of:

The energy equivalent of 1 atomic mass unit (amu) is approximately:

The Boolean expression for a NAND gate is:

If the momentum of a body is doubled, its kinetic energy becomes:

The moment of inertia of a solid sphere about its diameter is (2/5)MR². Its moment of inertia about a tangent is:

Two thin lenses of focal lengths +20 cm and −40 cm are placed in contact. The focal length of the combination is:

A satellite is orbiting the Earth at a height h above the surface. The orbital velocity is v. If the height is doubled, the new orbital velocity will be:

The efficiency of a Carnot engine working between 127°C and 27°C is:

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

In the hydrogen spectrum, the ratio of wavelengths of the first line of the Lyman series to the first line of the Balmer series is:

A body is thrown vertically upward with a velocity u. The distance travelled by the body in the last second of its upward journey is: (g = 10 m/s²)

The coordination number of each ion in a NaCl crystal structure is:

The molal elevation constant (K_b) of water is 0.52 K kg mol⁻¹. If 0.1 mol of glucose is dissolved in 500 g of water, the elevation in boiling point is:

The standard electrode potential of Zn²⁺/Zn is −0.76 V and Cu²⁺/Cu is +0.34 V. The EMF of the Daniell cell is:

For a first-order reaction, the half-life is 10 minutes. The time required for 75% completion is:

Which of the following is an example of physisorption?

In the extraction of aluminium by Hall-Héroult process, the electrolyte used is:

Which of the following p-block elements does NOT show allotropy?

The electronic configuration of Cr (Z = 24) is:

The IUPAC name of [Co(NH₃)₄Cl₂]Cl is:

The reaction of tert-butyl bromide with aqueous NaOH follows:

Which of the following alcohols gives a turbidity within 5 minutes with Lucas reagent at room temperature?

The product formed when acetaldehyde reacts with dilute NaOH is:

Among the following, the strongest base is:

Sucrose on hydrolysis gives:

Buna-S rubber is a copolymer of:

Which of the following is an antipyretic drug?

The number of moles of NaOH present in 500 mL of 0.1 M NaOH solution is:

The quantum numbers of the 19th electron of chromium (Z = 24) are:

According to molecular orbital theory, the bond order of O₂ is:

The compressibility factor Z for an ideal gas is:

The pH of a 0.01 M HCl solution is:

In the reaction: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O, the change in oxidation state of Mn is:

The IUPAC name of CH₃ - CH=CH - CHO is:

An aqueous solution freezes at −0.186°C. The molality of the solution is: (K_f for water = 1.86 K kg mol⁻¹)

The number of tetrahedral and octahedral voids per atom in a close-packed structure are respectively:

The unit of the rate constant for a second-order reaction is:

The shape of XeF₄ according to VSEPR theory is:

In the Kolbe reaction, phenol reacts with CO₂ in the presence of NaOH followed by acidification to give:

The hybridization of the central atom in SF₆ is:

Among the transition elements, the element with the highest number of oxidation states is:

The number of isomers possible for the complex [Co(en)₂Cl₂]⁺ is:

Williamson’s synthesis is used to prepare:

Which amino acid is not optically active?

The Tyndall effect is exhibited by:

The Cannizzaro reaction is given by aldehydes that:

The van’t Hoff factor (i) for a dilute solution of K₂SO₄ is approximately:

The molar conductivity of a strong electrolyte at infinite dilution can be obtained by:

The type of colloid formed when a liquid is dispersed in a gas is called:

Interhalogen compound ClF₃ has a shape that is:

Which of the following lanthanoid ions is diamagnetic?

The crystal field splitting energy (Δ₀) in an octahedral complex is affected by the nature of the ligand. The correct order of Δ₀ for the ligands is:

Which of the following reactions gives a primary amine?

Nylon-6,6 is a polymer of:

The enthalpy of formation of CO₂(g) is −393.5 kJ/mol. This means:

The reaction CH₃Br + KCN → CH₃CN + KBr is an example of:

Fehling’s solution is reduced by:

The coagulation of a positively charged sol can be most effectively brought about by:

The correct order of increasing acidic strength is:

In the extraction of copper from copper pyrites, the self-reduction step involves:

The secondary structure of proteins refers to:

In angiosperms, the female gametophyte (embryo sac) is typically:

Double fertilisation in angiosperms involves:

Mendel’s law of independent assortment is applicable when genes are located on:

The central dogma of molecular biology describes the flow of genetic information as:

In the lac operon of E. coli, the inducer molecule is:

Green Revolution in India is largely attributed to the development of high-yielding varieties of:

Curd formation from milk is due to the activity of:

The enzyme used in recombinant DNA technology to cut DNA at specific sites is:

Bt cotton is resistant to:

In a population, the interaction between two species where both are harmed is called:

The correct sequence of trophic levels in a food chain is:

The concept of “biodiversity hotspots” was given by:

Eutrophication of water bodies is caused mainly by:

The structural and functional unit of the kidney is:

The process of DNA replication is:

In the C₄ pathway of photosynthesis, the first stable product is:

Casparian strip is found in the:

Which of the following is a micronutrient for plants?

Crossing over occurs during which stage of meiosis?

Somaclonal variations are observed in plants raised through:

The Ti plasmid, used extensively in plant genetic engineering, is found in:

In ecological succession, the climax community is characterised by:

The pollination mechanism in Vallisneria (an aquatic plant) is:

The phenotypic ratio in a monohybrid cross involving incomplete dominance is:

The ozone layer in the atmosphere is mainly found in the:

The net ATP yield from one molecule of glucose during aerobic respiration is:

The Watson-Crick model of DNA states that the two strands are:

Which of the following is NOT a greenhouse gas?

The enzyme responsible for transcription in eukaryotes that synthesises mRNA is:

Polymerase Chain Reaction (PCR) was invented by:

The part of the flower that develops into a fruit is:

Which of the following is a biodiversity-rich region (hotspot) in India?

Biogas mainly contains:

The species-area relationship described by Alexander von Humboldt is expressed as:

Transpiration is most rapid when:

Emasculation is carried out in plant breeding to:

Cyclosporin A, used as an immunosuppressant, is produced by:

Golden Rice has been engineered to produce:

The pyramid of energy in any ecosystem is always:

The endosperm in angiosperms is:

A codon consists of:

Hardy-Weinberg equilibrium is disturbed by:

Mycorrhiza is a symbiotic association between:

The restriction enzyme EcoRI recognises the palindromic sequence:

Kranz anatomy is characteristic of:

The role of Taq polymerase in PCR is to:

The vegetative cell in a pollen grain has:

In situ conservation includes:

The 10% law of energy transfer was given by:

Apomixis is:

The process of spermatogenesis results in the formation of:

Implantation of the human embryo occurs in the:

Which of the following is NOT a method of contraception?

According to Darwin, natural selection acts on:

The causative organism of malaria is:

Antibodies are produced by:

Which phylum includes organisms with a water vascular system?

The characteristic feature of mammals is:

The connective tissue that connects bone to bone is:

Pepsin acts in the stomach because it is active at:

The oxygen-carrying pigment in human blood is:

The vital capacity of the lungs is the sum of:

The SA node (sinoatrial node) in the heart is located in the:

Juxtaglomerular cells in the kidney produce:

The joint between the atlas and axis vertebrae is a:

The part of the brain that controls body temperature, hunger, and thirst is:

Insulin is secreted by:

The acrosome of a sperm is derived from:

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

Analogous organs are a result of:

HIV (Human Immunodeficiency Virus) attacks which type of cells?

Bile is produced by the:

The exchange of gases in the lungs occurs at the:

Blood group antigens are present on:

The functional unit of muscle contraction is:

The hormone responsible for the fight-or-flight response is:

Turner’s syndrome is characterised by the karyotype:

The first organisms to appear on Earth were:

Colostrum is important for the newborn because it contains:

Oogenesis in human females produces:

Interferons are proteins released by virus-infected cells that:

The loop of Henle in a nephron is primarily responsible for:

During muscle contraction, which of the following shortens?

The cranial nerve responsible for vision is:

Addison’s disease is caused by the hyposecretion of hormones from:

The placenta is formed by the interdigitation of chorionic villi with:

STDs that can be transmitted through sexual contact include:

Industrial melanism in peppered moths is an example of:

The widal test is used for the diagnosis of:

Organisms belonging to phylum Cnidaria possess:

The enzyme trypsin acts on:

The Bohr effect describes the influence of CO₂ concentration on:

In humans, erythropoietin is primarily produced by:

The neurotransmitter released at the neuromuscular junction is:

Gigantism is caused by hypersecretion of growth hormone during:

Adaptive radiation refers to:

Which of the following is an autoimmune disease?

The human spinal cord is protected by:

Corpus luteum secretes which hormone to maintain pregnancy?

Darwin’s finches of Galapagos Islands provide evidence of: