JEE Main Physics Important & Repeated Questions 2027

Match List - I with List - II. List - I: (A) Coefficient of viscosity (B) Intensity of wave (C) Pressure gradient (D) Compressibility List - II: (I) [M L⁰ T^-3] (II) [M L^-2 T^-2] (III) [M^-1 L T²] (IV) [M L^-1 T^-1] Choose the correct answer from the options given below : (1) (A)-(IV), (B)-(II), (C)-(I), (D)-(III) (2) (A)-(II), (B)-(III), (C)-(IV), (D)-(I) (3) (A)-(I), (B)-(IV), (C)-(III), (D)-(II) (4) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

To find the spring constant (k) of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in measurement of mass. The percentage error in determining value of k is: (1) 3% (2) 5% (3) 1% (4) 4%

A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be. Options: (1) 661.845 g (2) 662 g (3) 661.84 g (4) 661.8 g

The equation for real gas is given by (P + a/V²)*(V - b) = RT, where P, V, T and R are the pressure, volume, temperature and gas constant, respectively. The dimension of a*b^-2 is equivalent to that of : (1) Compressibility (2) Energy density (3) Planck's constant (4) Strain

If epsilon₀ is the permittivity of free space and E is the electric field, then epsilon₀ E² has the dimensions: (1) [M⁰ L^-2 T A] (2) [M^-1 L^-3 T⁴ A²] (3) [M L² T^-2] (4) [M L^-1 T^-2]

A person travelling on a straight line moves with a uniform velocity v₁ for a distance x and with a uniform velocity v₂ for the next (3/2)*x distance. The average velocity in this motion is 50/7 m/s. If v₁ is 5 m/s then v₂ = ______ m/s.

A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of 100 m from the foot of the tower. A body of mass 2M thrown at a velocity v/2 from the top of the tower of height 4H will touch the ground at a distance of ________ m.

A river is flowing from west to east direction with speed of 9 km h^-1. If a boat capable of moving at a maximum speed of 27 km h^-1 in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150 degrees to direction of river flow, then the width of the river is : (1) 112.5 m (2) 112.5*sqrt(3) m (3) 75 m (4) 300 m

Which of the following curves possibly represent one-dimensional motion of a particle? A. Phase versus time (straight line through origin) B. Velocity versus displacement (closed circle) C. Velocity versus Time (closed circle) D. Total distance versus time (monotonically increasing curve) Choose the correct answer from the options given below: Options: (1) A, B and C only (2) A, C and D only (3) A and B only (4) A, B and D only

Two projectiles are fired from ground with same initial speeds from same point at angles (45 deg + alpha) and (45 deg - alpha) with horizontal direction. The ratio of their times of flights is (1) (1 + tan alpha)/(1 - tan alpha) (2) 1 (3) (1 + sin 2 alpha)/(1 - sin 2 alpha) (4) (1 - tan alpha)/(1 + tan alpha)

The angle of projection of a particle is measured from the vertical axis as phi and the maximum height reached by the particle is h_m. Here h_m as function of phi can be presented as. Options: (graphs of h_m versus phi over 0 to 90 degrees) (1) h_m decreases (convex/decaying curve) with increasing phi, reaching 0 near 90 degrees (2) h_m increases (concave-up curve) with increasing phi up to 90 degrees (3) h_m decreases as a concave quarter-circle-like curve, reaching 0 near 90 degrees (4) h_m rises to a maximum and falls symmetrically (dome/semicircle) over 0 to 90 degrees

The angle of projection for a projectile to have same horizontal range and maximum height is: (1) tan^-1(2) (2) tan^-1(4) (3) tan^-1(1/4) (4) tan^-1(1/2)

For three vectors A = (-x i - 6 j - 2 k), B = (-i + 4 j + 3 k) and C = (-8 i - j + 3 k), if A . (B x C) = 0, then value of x is ________.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: When a body is projected at an angle 45 degrees, its range is maximum. Reason R: For maximum range, the value of sin 2 theta should be equal to one. In the light of the above statements, choose the correct answer from the options given below: (1) Both A and R are correct but R is NOT the correct explanation of A (2) A is false but R is true (3) Both A and R are correct and R is the correct explanation of A (4) A is true but R is false

A particle is moving with constant speed in a circular path. When the particle turns by an angle 90 degrees, the ratio of instantaneous velocity to its average velocity is pi : x sqrt(2). The value of x will be - (1) 7 (2) 5 (3) 1 (4) 2

A car is moving with speed of 150 km/h and after applying the break it will move 27 m before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling ______ m distance.

At t=0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms^-2. At t=20 s, a ball is released from the top of the truck. The ball strikes the ground in 1 s after the release. The velocity of the ball, when it strikes the ground, will be: (Given g=10 ms^-2) (A) 100 i^ - 10 j^ (B) 10 i^ - 100 j^ (C) 100 i^ (D) -10 j^

A cubic block of mass m is sliding down on an inclined plane at 60 degrees with an acceleration of g/2, the value of coefficient of kinetic friction is (1) sqrt(3)/2 (2) 1 - sqrt(3)/2 (3) sqrt(2)/3 (4) sqrt(3) - 1

A light string passing over a smooth light pulley connects two blocks of masses m₁ and m₂ (where m₂ > m₁). If the acceleration of the system is g/sqrt(2), then the ratio of the masses m₁/m₂ is: (1) (sqrt(2) - 1)/(sqrt(2) + 1) (2) (sqrt(3) + 1)/(sqrt(2) - 1) (3) (1 + sqrt(5))/(sqrt(2) - 1) (4) (1 + sqrt(5))/(sqrt(5) - 1)

If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their velocities will be in the ratio of: (1) sqrt(3):1 (2) 1:sqrt(3) (3) sqrt(3):2 (4) 2:sqrt(3)

A player caught a cricket ball of mass 150 g moving at a speed of 20 m/s. If the catching process is completed in 0.1 s, the magnitude of force exerted by the ball on the hand of the player is: (1) 150 N (2) 3 N (3) 30 N (4) 300 N

100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same speed, in time t s. The total force exerted by the balls on the wall is Options: (1) 200mv/t (2) 200mvt (3) 100mv/t (4) mv/(100 t)

A block 'A' takes 2 s to slide down a frictionless incline of 30 degrees and length 'l', kept inside a lift going up with uniform velocity 'v'. If the incline is changed to 45 degrees, the time taken by the block, to slide down the incline, will be approximately : Option A: 2.66 s Option B: 0.83 s Option C: 1.68 s Option D: 0.70 s

Four particles A, B, C, D of mass m/2, m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is: (1) A (2) B (3) C (4) D

A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the work done against friction (in J) is: (1) 4000 (2) 4500 (3) 4200 (4) 3900

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is: (block 5 kg on a 10 m long incline at 30 degrees with mu=0 on incline, then 2 m horizontal surface with mu=0.5 leading to a spring of k=100 N/m) (1) sqrt(5) m (2) sqrt(6) m (3) 1 m (4) 2 m

A particle of mass 10 g moves in a straight line with retardation 2x, where x is the displacement in SI units. Its loss of kinetic energy for above displacement is (10/x)^(-n) J. The value of n will be ______

Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is 'alpha'. Now the rod is cut into two equal parts and these parts are joined symmetrically to form a cross shape. Moment of inertia of cross about an axis passing through its center and normal to plane containing cross is : (1) alpha (2) alpha/2 (3) alpha/8 (4) alpha/4

If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of earth will be ________ hours 30 minutes.

A rod of length 5 L is bent right angle keeping one side length as 2 L. The position of the centre of mass of the system: (Consider L = 10 cm) (1) 2 i-hat + 3 j-hat (2) 4 i-hat + 9 j-hat (3) 3 i-hat + 7 j-hat (4) 5 i-hat + 8 j-hat

A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10 kg and radius is 10 cm and it can freely rotate without any friction. Initially the wheel is at rest. If a steady pull of 20 N is applied on the cord, the angular velocity of the wheel, after the cord is unwound by 1 m, would be : (1) 10 rad/s (2) 20 rad/s (3) 30 rad/s (4) 0 rad/s

A cylinder is rolling down on an inclined plane of inclination 60°. It's acceleration during rolling down will be x/sqrt(3) m/s², where x = ______ (use g = 10 m/s²).

Three balls of masses 2 kg, 4 kg and 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be _______ kg m².

Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at R/4 depth under surface of earth ? (1) 75 N (2) 225 N (3) 300 N (4) 375 N

Two satellite A and B go round a planet in circular orbits having radii 4R and R respectively. If the speed of A is 3v, the speed of B will be: (1) 3v (2) (4/3) v (3) 6v (4) 12v

At what distance above and below the surface of the earth a body will have same weight. (take radius of earth as R.) (1) R/2 (2) sqrt(5) R - R (3) (sqrt(5) R - R)/2 (4) (sqrt(3) R - R)/2

To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is R_E, g = acceleration due to gravity on the surface of earth): (1) 2 m g R_E (2) 4 m g R_E (3) (1/2) m g R_E (4) m g R_E

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing W on earth will weigh on that planet: (1) 2 W (2) W (3) 2^(1/3) W (4) 2^(2/3) W

Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : R = Radius of bubble, S = Surface tension of bubble) (1) 2S/R (2) 4S/R (3) S/R (4) 4R/S

A 100 m long wire having cross-sectional area 6.25 x 10^-4 m² and Young's modulus is 10¹⁰ Nm^-2 is subjected to a load of 250 N, then the elongation in the wire will be: Options: 1) 4 x 10^-4 m 2) 4 x 10^-3 m 3) 6.25 x 10^-6 m 4) 6.25 x 10^-3 m

Correct Bernoulli's equation is (symbols have their usual meaning): (1) P + mgh + (1/2) m v² = constant (2) P + (1/2) rho g h + (1/2) rho v² = constant (3) P + rho g h + (1/2) rho v² = constant (4) P + rho g h + rho v² = constant

Two wires A and B are made of same material having ratio of lengths L_A/L_B = 1/3 and their diameters ratio d_A/d_B = 2. If both the wires are stretched using same force, what would be the ratio of their respective elongations? (1) 1:3 (2) 1:12 (3) 1:6 (4) 3:4

A small ball of mass m and density rho is dropped in a viscous liquid of density rho₀. After sometime, the ball falls with constant velocity. The viscous force on the ball is: (1) m g (1 - rho₀/rho) (2) m g (rho₀/rho - 1) (3) m g (1 - rho rho₀) (4) m g (1 + rho/rho₀)

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is 10/x. The value of x is ________.

A hole is drilled in a metal sheet. At 27°C, the diameter of hole is 5 cm. When the sheet is heated to 177°C, the change in the diameter of hole is d x 10^-3 cm. The value of d will be ______ if coefficient of linear expansion of the metal is 1.6 x 10^-5 /°C.

An air bubble of negligible weight having radius r rises steadily through a solution of density sigma at speed v. The coefficient of viscosity of the solution is given by: (A) eta = 4 r sigma g / (9 v) (B) eta = 2 r² sigma g / (9 v) (C) eta = 2 pi r² sigma g / (9 v) (D) eta = 2 r² sigma g / (3 pi v)

In an adiabatic process, which of the following statements is true ? (1) Work done by the gas equals the increase in internal energy (2) The internal energy of the gas decreases as the temperature increases (3) The molar heat capacity is zero (4) The molar heat capacity is infinite

A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2°C. The work done by the gas is : Given, R = 8.3 J K^-1 mol^-1. (1) 24.9 J (2) 48 J (3) 72.9 J (4) 23.1 J

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ______ x 10^-1 J. (Take pi = 3.14)

During the melting of a slab of ice at 273 K at atmospheric pressure: Options: (1) Positive work is done on the ice-water system by the atmosphere. (2) Positive work is done by the ice-water system on the atmosphere. (3) Internal energy of ice-water system remains unchanged. (4) Internal energy of the ice-water system decreases.

A Carnot engine has efficiency of 50%. If the temperature of sink is reduced by 40 degC, its efficiency increases by 30%. The temperature of the source will be : A) 166.7 K B) 255.1 K C) 266.7 K D) 367.7 K

gamma_A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. gamma_B is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If gamma_A/gamma_B = (1 + 1/n), then the value of n is ______.

A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is: (1) 2 sqrt(2) / 1 (2) 1 / (2 sqrt(2)) (3) 1/32 (4) 1/4

Given below are two statements: Statement (I): The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II): Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas. In the light of the above statements, choose the correct answer from the options given below: (1) Both Statement I and Statement II are true (2) Both Statement I and Statement II are false (3) Statement I is true but Statement II is false (4) Statement I is false but Statement II is true

A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is pi/sqrt(x) in SI unit. The value of x is ______.

An object of mass 0.2 kg executes simple harmonic motion along x axis with frequency of (25/pi) Hz. At the position x = 0.04 m the object has kinetic energy 0.5 J and potential energy 0.4 J. The amplitude of oscillation is ________ cm.

A travelling wave is described by the equation y(x, t) = [0.05 sin(8x - 4t)] m. The velocity of the wave is: [all the quantities are in SI unit] Options: 1) 2 ms^-1 2) 8 ms^-1 3) 0.5 ms^-1 4) 4 ms^-1

A person driving car at a constant speed of 15 m/s is approaching a vertical wall. The person notices a change of 40 Hz in the frequency of his car's horn upon reflection from the wall. The frequency of horn is ______ Hz. (Given: Speed of sound: 330 m/s)

Two open organ pipes of lengths 60 cm and 90 cm resonate at 6th and 5th harmonics respectively. The difference of frequencies for the given modes is _______ Hz. (Velocity of sound in air = 333 m/s)

A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constants epsilon₁ and epsilon₂, as shown in figures. The distance between the plates is d and area of each plate is A. If capacitance in first configuration and second configuration are C₁ and C₂ respectively, then C₁/C₂ is: (First Configuration: the two dielectric slabs stacked horizontally one above the other; Second Configuration: the two dielectric slabs placed side by side vertically) Options: (1) epsilon₀(epsilon₁ + epsilon₂)/2 (2) 4 epsilon₁ epsilon₂/(epsilon₁ + epsilon₂)² (3) epsilon₁ epsilon₂/(epsilon₁ + epsilon₂) (4) epsilon₁ epsilon₂²/(epsilon₁ + epsilon₂)²

A small bob of mass 100 mg and charge +10 microC is connected to an insulating string of length 1 m. It is brought near to an infinitely long non-conducting sheet of charge density 'sigma' as shown in figure. If string subtends an angle of 45 degrees with the sheet at equilibrium the charge density of sheet will be. (Given, epsilon₀ = 8.85*10^-12 F/m and acceleration due to gravity, g = 10 m/s²) (1) 1.77 nC/m² (2) 0.885 nC/m² (3) 17.7 nC/m² (4) 885 nC/m²

The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at the centre of shell, at a distance r = 5 cm from centre, and at a distance r = 15 cm from the centre of the shell respectively, are: Options: (1) 40V, 40V, 80V (2) 0V, 120V, 40V (3) 120V, 120V, 80V (4) 0V, 0V, 80V

An electric field, E = (2 i + 6 j + 8 k)/sqrt(6) passes through the surface of 4 m² area having unit vector n = ((2 i + j + k)/sqrt(6)). The electric flux for that surface is __________ V m.

Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is : (1) 6 N (2) 12 N (3) 4 N (4) 1 N

A point charge +q is placed at the origin. A second point charge +9q is placed at (d, 0, 0) in Cartesian coordinate system. The point in between them where the electric field vanishes is : (1) (3d/4, 0, 0) (2) (d/4, 0, 0) (3) (d/3, 0, 0) (4) (4d/3, 0, 0)

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is: (1) a/b (2) b/a (3) ab (4) sqrt(ab)

A capacitor of 10 μF capacitance whose plates are separated by 10 mm through air and each plate has area 4 cm² is now filled equally with two dielectric media of K₁ = 2, K₂ = 3 respectively as shown in figure. If new force between the plates is 8 N. The supply voltage is _______ V.

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R/n. The value of n is: (1) 10 (2) 12 (3) 14 (4) 16

In the figure shown below, a resistance of 150.4 Ohm is connected in series to an ammeter A of resistance 240 Ohm. A shunt resistance of 10 Ohm is connected in parallel with the ammeter. The reading of the ammeter is ______ mA. (EMF of the cell = 20 V)

The circuit diagram of potentiometer used to measure the internal resistance of a cell (E) is shown in figure. The key 'K' is kept closed so as to send constant current through potentiometer wire. When key 'K₁' is kept open the null point is found to be at 120 cm on the potentiometer wire. When the key 'K₁' is closed the null point is shifted at 80 cm at the potentiometre wire. The internal resistance of the given cell is __________ ohm. (external resistance in cell branch = 4 ohm, E = 1.5 V)

The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is: [arrangement: a bridge network with resistances 24 ohm, 12 ohm, 1 ohm, 12 ohm, 1 ohm (upper mesh between A, B, C), x ohm, 12 ohm, 12 ohm, 0.5 ohm (lower mesh between A, D, C) and a 14.5 V cell] (1) 42 ohm (2) 6 ohm (3) 3 ohm (4) 9 ohm

The number of electrons flowing per second in the filament of a 110 W bulb operating at 220 V is : (Given e = 1.6 x 10^-19 C) (1) 6.25 x 10¹⁷ (2) 1.25 x 10¹⁹ (3) 31.25 x 10¹⁷ (4) 6.25 x 10¹⁸

Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be _______ to _______ times of its initial length if the water is to be boiled in 15 minutes. (1) increased, 3/4 (2) decreased, 3/4 (3) decreased, 4/3 (4) increased, 4/3

In the given circuit, the terminal potential difference of the cell is: [Circuit: a cell of emf 3 V with internal resistance 1 ohm connected across two 4 ohm resistors in parallel] (1) 2 V (2) 3 V (3) 4 V (4) 1.5 V

A wire of resistance R and radius r is stretched till its radius became r/2. If new resistance of the stretched wire is x R, then value of x is ________.

A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is n x 10^-3 ohm. If the resistivity of the material is 2.4 x 10^-8 ohm m, the value of n is ______.

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 ohm. The currents through the resistors R₄ and R₅ are I₄ and I₅ respectively. The values of I₄ and I₅ are: [R₁ = 2 ohm, R₂ = 2 ohm, R₃ = 2 ohm, R₄ = 20 ohm, R₅ = 5 ohm, R₆ = 2 ohm; battery (24V, 3 ohm)] Options: 1) I₄ = 6/5 A and I₅ = 24/5 A 2) I₄ = 8/5 A and I₅ = 2/5 A 3) I₄ = 2/5 A and I₅ = 8/5 A 4) I₄ = 24/5 A and I₅ = 6/5 A

The drift velocity of electrons for a conductor connected in an electrical circuit is V_d. The conductor is now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be Options: (1) V_d/2 (2) 2V_d (3) V_d (4) V_d/4

Eight copper wire of length l and diameter d are joined in parallel to form a single composite conductor of resistance R. If a single copper wire of length 2l have the same resistance (R) then its diameter will be ______ d.

Let B₁ be the magnitude of magnetic field at center of a circular coil of radius R carrying current I. Let B₂ be the magnitude of magnetic field at an axial distance 'x' from the center. For x : R = 3 : 4, B₂/B₁ is : (1) 25 : 16 (2) 16 : 25 (3) 4 : 5 (4) 64 : 125

The relationship between the magnetic susceptibility (chi) and the magnetic permeability (mu) is given by : (mu₀ is the permeability of free space and mu_r is relative permeability) (1) chi = mu_r + 1 (2) chi = 1 - mu/mu₀ (3) chi = mu/mu₀ - 1 (4) chi = mu_r/mu₀ + 1

A particle of charge q, mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius (r). Which of the following curves represents the variation of r with E? (1) r increasing with E, concave down (square-root type) (2) r increasing with E, concave up (3) r decreasing with E (4) r increasing linearly with E

A circular coil having 200 turns, 2.5x10^-4 m² area and carrying 100 microA current is placed in a uniform magnetic field of 1 T. Initially the magnetic dipole moment (M) was directed along B. Amount of work, required to rotate the coil through 90 degrees from its initial orientation such that M becomes perpendicular to B, is ________ microJ.

The coercivity of a magnet is 5 x 10³ A/m. The amount of current required to be passed in a solenoid of length 30 cm and the number of turns 150, so that the magnet gets demagnetised when inside the solenoid is ________ A.

A galvanometer having coil resistance 10 Ω shows a full scale deflection for a current of 3 mA. For it to measure a current of 8 A, the value of the shunt should be: (1) 3×10^-3 Ω (2) 4.85×10^-3 Ω (3) 3.75×10^-3 Ω (4) 2.75×10^-3 Ω

A 4.0 cm long straight wire carrying a current of 8A is placed perpendicular to a uniform magnetic field of strength 0.15 T. The magnetic force on the wire is ______ mN.

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at a/2 and 2a from axis of the wire is: (1) 1 : 4 (2) 3 : 4 (3) 1 : 1 (4) 4 : 1

Given below are two statements: Statement I: If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double. Statement II: Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio. In the light of the above statements, choose the correct answer from the options given below: (1) Both Statement I and Statement II are false (2) Statement I is true but Statement II is false (3) Both Statement I and Statement II are true (4) Statement I is false but Statement II is true

A cyclotron is working at frequency of 10 MHz. If the radius of its dees is 60 cm. The maximum kinetic energy of accelerated proton will be: (Take: e=1.6x10^-19 C, m_p=1.67x10^-27 kg) (A) 7.4 MeV (B) 14.86 MeV (C) 7.4 GeV (D) 704 GeV

For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is 2.5 nF. If resistance of 200 Ω and 100 mH inductor is being used in the given circuit. The frequency of ac source is _______ x 10³ Hz. (given π² = 10)

Given below are two statements: Statement I: In an LCR series circuit, current is maximum at resonance. Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source. In the light of the above statements, choose the correct from the options given below: (1) Both Statement I and Statement II are true (2) Both Statement I and Statement II are false (3) Statement I is true but Statement II is false (4) Statement I is false but Statement II is true

A square loop of side 10 cm and resistance 0.7 Ω is placed vertically in east-west plane. A uniform magnetic field of 0.20 T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s at a steady rate. Then, magnitude of induced emf is sqrt(x)×10^-3 V. The value of x is ______.

A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all other parameters same. The current amplitude at resonance will be now: (1) same (2) double (3) halved (4) Zero

When a dc voltage of 100 V is applied to an inductor, a dc current of 5 A flows through it. When an ac voltage of 200 V peak value is connected to inductor, its inductive reactance is found to be 20 sqrt(3) ohm. The power dissipated in the circuit is ________ W.

A square loop PQRS having 10 turns, area 3.6 x 10^-3 m² and resistance 100 ohm is slowly and uniformly being pulled out of a uniform magnetic field of magnitude B = 0.5 T as shown. Work done in pulling the loop out of the field in 1.0 s is __________ x 10^-6 J. [Figure: square loop PQRS in a region of magnetic field directed into the page, being pulled out to the left with velocity v]

An alternating emf E = 110 sqrt(2) sin100t volt is applied to a capacitor of 2 microF, the rms value of current in the circuit is ________ mA.

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is. Options: (1) 3 x 10^-8 Pascals (2) 6 x 10^-8 Pascals (3) 1.5 x 10^-8 Pascals (4) 0

Electromagnetic waves travel in a medium with speed of 1.5x10⁸ m s^-1. The relative permeability of the medium is 2.0. The relative permittivity will be: (1) 1 (2) 2 (3) 4 (4) 5

For the plane electromagnetic wave given by E = E_o sin(omega t - kx) and B = B_o sin(omega t - kx), the ratio of average electric energy density to average magnetic energy density is (1) 1/2 (2) 1 (3) 4 (4) 2

If epsilon₀ denotes the permittivity of free space and Phi_E is the flux of the electric field through the area bounded by the closed surface, then dimensions of (epsilon₀ dPhi_E/dt) are that of: (1) electric charge (2) electric potential (3) electric current (4) electric field

In E-vector and K-vector represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: (omega - angular frequency) Options: 1) omega (K-vector x E-vector) 2) omega (E-vector x K-vector) 3) (1/omega)(K-vector x E-vector) 4) K-vector x E-vector

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is xI. The value of x is ______.

Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes parallel to the base. B. Larger angle prisms provide smaller angle of minimum deviation. C. Angle of incidence and angle of emergence becomes equal. D. There are always two sets of angle of incidence for which deviation will be same except at minimum deviation setting. E. Angle of refraction becomes double of prism angle. Choose the correct answer from the options given below: Options: (1) A, C and D Only (2) A, B and E Only (3) B, C and D Only (4) B, D and E Only

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30 degrees in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is ______ microm.

The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The refractive index of the lens material is. Options: (1) 1.2 (2) 1.8 (3) 1.4 (4) 1.5

A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1.28) (1) 555 mm (2) 288 mm (3) 355 mm (4) 655 mm

The position of the image formed by the combination of lenses is: (Three lenses on a common axis: f₁ = 10 cm, f₂ = -10 cm, f₃ = 30 cm; object 30 cm to the left of the first lens, first and second lenses 5 cm apart, second and third lenses 10 cm apart) (1) 15 cm (left of second lens) (2) 30 cm (left of third lens) (3) 15 cm (right of second lens) (4) 30 cm (right of third lens)

Unpolarised light of intensity 32 W m^-2 passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If intensity of emerging light is 3 W m^-2, then the angle between pass axis of first two polaroids is ____ °.

The work function of a metal is 3 eV. The color of the visible light that is required to cause emission of photoelectrons is. Options: (1) Yellow (2) Green (3) Red (4) Blue

A proton and an electron have the same de Broglie wavelength. If K_p and K_e be the kinetic energies of proton and electron respectively, then choose the correct relation: (1) K_p > K_e (2) K_p < K_e (3) K_p = K_e (4) K_p = K_e²

From the photoelectric effect experiment, following observations are made. Identify which of these are correct. A. The stopping potential depends only on the work function of the metal. B. The saturation current increases as the intensity of incident light increases. C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light. D. Photoelectric effect can be explained using wave theory of light. Choose the correct answer from the options given below: Options: 1) A, B, D only 2) A, C, D only 3) B, C only 4) B only

For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is (1) 3 : 4 (2) 5 : 27 (3) 27 : 5 (4) 5 : 36

Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of He^+ ion in its first excited state. (B) the energy of H atom in ground state is same as that for Li^++ ion in its second excited state. (C) the energy of H atom in its ground state is same as that of He^+ ion for its ground state. (D) the energy of He^+ ion in its first excited state is same as that for Li^++ ion in its ground state. Choose the correct answer from the options given below : (1) (A), (B) only (2) (A), (C) only (3) (B), (D) only (4) (A), (D) only

If M_o is the mass of isotope ₅¹² B, M_p and M_n are the masses of proton and neutron, then nuclear binding energy of isotope is: (1) (M_o - 5M_p) C² (2) (M_o - 12M_n) C² (3) (5M_p + 7M_n - M_o) C² (4) (M_o - 5M_p - 7M_n) C²

The half life period of a radioactive substance is 60 days. The time taken for 7/8 th of its original mass to disintegrate will be : A) 120 days B) 130 days C) 180 days D) 20 days

Radius of a certain orbit of hydrogen atom is 8.48 Angstrom. If energy of electron in this orbit is E/x, then x = ________. (Given a₀ = 0.529 Angstrom, E = energy of electron in ground state).

In a hypothetical fission reaction ₉₂ X²³⁶ -> ₅₆ Y¹⁴¹ + ₃₆ Z⁹² + 3R. The identity of emitted particles (R) is: (1) Electron (2) Proton (3) Neutron (4) gamma-radiations

The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be (1) zero (2) L/2 (3) L (4) 2L

A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V. For a 400 ohm resistor connected in series, the zener current is found to be 4 times load current. The load current (I_L) and load resistance (R_L) are : (1) I_L = 0.02 mA; R_L = 250 ohm (2) I_L = 20 mA; R_L = 250 ohm (3) I_L = 10 mA; R_L = 500 ohm (4) I_L = 10 A; R_L = 0.5 ohm

Choose the correct logic circuit for the given truth table having inputs A and B. Truth table (A, B -> Y): 0,0 -> 0 ; 0,1 -> 0 ; 1,0 -> 1 ; 1,1 -> 1 Options: (logic gate circuit diagrams) (1) A and B into an OR gate, its output inverted (NOT) then fed with A into an AND gate producing Y (2) A and B into an OR gate whose output feeds an AND gate producing Y (3) A and B into an OR gate whose output is inverted at the AND gate input, producing Y (4) A and B into an OR gate whose output feeds an AND gate (with A) producing Y

The acceptor level of a p-type semiconductor is 6 eV. The maximum wavelength of light which can create a hole would be : Given hc = 1242 eV nm. (1) 207 nm (2) 407 nm (3) 414 nm (4) 103.5 nm

The resistivity (rho) of semiconductor varies with temperature. Which of the following curve represents the correct behaviour (options are four rho vs T graphs) (1) rho decreasing with T (exponential decay) (2) rho decreasing linearly with T (3) rho increasing steeply (concave up) with T (4) rho increasing linearly with T

In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its 4th division coincides exactly with a certain division on main scale. If 50 vernier scale divisions equal to 49 main scale divisions and zero error in the instrument is 0.04 mm then how many main scale divisions are there in 1 cm ? (1) 10 (2) 20 (3) 40 (4) 5

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1 mm and circular scale reading is equal to 42 divisions. Pitch of screw gauge is 1 mm and it has 100 divisions on circular scale. The diameter of the wire is x/50 mm. The value of x is: (1) 42 (2) 21 (3) 71 (4) 142