Practice Questions

Q11.Two sources of equal emfs are connected in series. This combination is connected to an external resistance R. The internal resistances of the two sources are r1 and r2(r1 > r2). If the potential difference across the source of internal resistance r1 is zero then the value of R will be JEE Main 2022 (27 Jul Shift 1) JEE Main Previous Year Paper (1) r1 −r2 (2) r1r2 r1+r2 (3) r1+r2 (4) r2 −r1 2

Q11.Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii ( R2R1 ) is: (1) n (2) 2n n−1 2n+1 (3) n+1 (4) 2n+1 n n

Q11.Two identical thin metal plates has charge 𝑞1 and 𝑞2 respectively such that 𝑞1 > 𝑞2. The plates were brought close to each other to form a parallel plate capacitor of capacitance 𝐶. The potential difference between them is : 𝑞1 + 𝑞2 𝑞1 - 𝑞2 (1) (2) 𝐶 𝐶 𝑞1 - 𝑞2 2𝑞1 - 𝑞2 (3) (4) 2𝐶 𝐶

Q11.A vertical electric field of magnitude 4. 9 × 105 N C−1 just prevents a water droplet of a mass 0. 1 g from falling. The value of charge on the droplet will be : (Given g = 9. 8 m s−2 ) (1) 1. 6 × 10−9C (2) 2. 0 × 10−9C (3) 3. 2 × 10−9C (4) 0. 5 × 10−9C

Q11.An aluminium wire is stretched to make its length, 0. 4% larger. The percentage change in resistance is (1) 0. 4% (2) 0. 2% (3) 0. 8% (4) 0. 6%

Q11.The equation of a particle executing simple harmonic motion is given by x = sin π(t + 13 ) m. At t = 1 s, the speed of particle will be (Given: π = 3. 14) (1) 157 cm s−1 (2) 0 cm s−1 (3) 272 cm s−1 (4) 314 cm s−1

Q11.An observer moves towards a stationary source of sound with a velocity one-fifth of the velocity of sound. The percentage change in the apparent frequency is (1) zero (2) 5% (3) 10% (4) 20%

Q11.Given below are two statements : Statement - I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature. Statement - II : Diamagnetism is a result of orbital motions of electrons developing magnetic moments opposite to the applied magnetic field. 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.

Q11.The three charges 2 q , q and 2q are placed at the corners A, D and C of a square of side a as shown in figure. The magnitude of electric field (E) at the corner B of the square, is (1) + 4πϵ0a2 + 21 ) (2) 4πϵ0a2q (1 1 ) q ( √21 √2 (3) − 4πϵ0a2 q (1 √2 1 ) (4) 4πϵ0a2q ( √21 −12 )

Q12.Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor. Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point. JEE Main 2022 (29 Jul Shift 1) JEE Main Previous Year Paper In the light of the above statements, choose the most appropriate answer from the options give below. (1) Both statement I and statement II are correct (2) Both statement I and statement II are incorrect (3) Statement I is correct but statement II is incorrect (4) Statement I is incorrect but and statement II is correct

Q12.The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1. 2 × 10−5 . What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid? JEE Main 2022 (28 Jun Shift 2) JEE Main Previous Year Paper (1) 1. 2 × 10−5 (2) 1. 2 × 10−3 (3) 1. 8 × 10−3 (4) 2. 4 × 10−5

Q12.A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 × 105 N C−1 . If the charge on the particle is 40 μC and the initial velocity is 200 m s−1 , how much distance it will travel before coming to the rest momentarily (1) 0. 5 m (2) 1 m (3) 5 m (4) 10 m

Q12.A compass needle of oscillation magnetometer oscillates 20 times per minute at a place P of dip 30° . The number of oscillations per minute become 10 at another place Q of 60° dip. The ratio of the total magnetic field at the two places (BQ : BP) is: (1) √3 : 4 (2) 4 : √3 (3) √3 : 2 (4) 2 : √3 JEE Main 2022 (27 Jul Shift 2) JEE Main Previous Year Paper

Q12.Find the equivalent resistance between point A and B (1) 65 Ω (2) 20 Ω (3) 5 Ω (4) 2 Ω

Q12.A triangular shaped wire carrying 10 A current is placed in a uniform magnetic field of 0. 5 T, as shown in figure. The magnetic force on segment CD is (Given BC = CD = BD = 5 cm). (1) 0. 126 N (2) 0. 312 N (3) 0. 216 N (4) 0. 245 N

Q12.A long cylindrical volume contains a uniformly distributed charge of density ρ. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is : (1) ρqR2 (2) ρqR2 4εo 2εo (3) qρ (4) 4ε0R2 4ε0R2 qρ

Q12.If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be : (1) 3 Vm−1 , directed along positive x-axis. (2) 3 Vm−1 , directed along negative x-axis. (3) 6 Vm−1 , directed along negative x-axis. (4) 6 Vm−1 , directed along positive x-axis.

Q12.An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic field (B)as a function of radial distance (r) from the axis of cylinder. JEE Main 2022 (28 Jun Shift 1) JEE Main Previous Year Paper (1) (2) (3) (4)

Q12.If a wave gets refracted into a denser medium, then which of the following is true? (1) Wavelength, speed and frequency decreases. (2) Wavelength increases, speed decreases and frequency remains constant. (3) Wavelength and speed decreases but frequency (4) Wavelength, speed and frequency increases. remains constant.

Q12.A magnet hung at 45° with magnetic meridian makes an angle of 60° with the horizontal. The actual value of the angle of dip is 2 (1) tan−1(√3 ) (2) tan−1(√6) (3) (4) 3 2 tan−1(√2 ) tan−1(√1 )

Q12.A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B will be (1) 50V (2) 75V (3) 150V (4) 275V

Q12.A long solenoid carrying a current produces a magnetic field 𝐵 along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to JEE Main 2022 (25 Jun Shift 2) JEE Main Previous Year Paper (1) 2𝐵 (2) 4𝐵 𝐵 (3) (4) 𝐵 2

Q12.Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A): Non-polar materials do not have any permanent dipole moment. Reason (R): When a non-polar material is placed in an electric field, the centre of the positive charge distribution of it's individual atom or molecule coincides with the centre of the negative charge distribution. In the light of above statements, choose the most appropriate answer from the options given below. (1) Both (A) and (R) are correct and (R) is the (2) Both (A) and (R) are correct and (R) is not the correct explanation of (A). correct explanation of (A). (3) (A) is correct but (R) is not correct. (4) (A) is not correct but (R) is correct.

Q12.A charge particle is moving in a uniform magnetic field (2ˆi 3ˆj) m s−2 , then the value of α will be (αˆi −4ˆj) (1) 3 (2) 6 (3) 12 (4) 2

Q12.A battery of 6 V is connected to the circuit as shown below. The current 𝐼 drawn from the battery is (1) 1 A (2) 2 A (3) 6 A (4) 4 A 11 3 JEE Main 2022 (26 Jul Shift 2) JEE Main Previous Year Paper