Practice Questions

Q11.A. The drift velocity of electrons decreases with the increase in the temperature of conductor. B. The drift velocity is inversely proportional to the area of cross-section of given conductor. C. The drift velocity does not depend on the applied potential difference to the conductor. D. The drift velocity of electron is inversely proportional to the length of the conductor. E. The drift velocity increases with the increase in the temperature of conductor. Choose the correct answer from the options given below: (1) A and B only (2) A and D only (3) B and E only (4) B and C only

Q11.Given below are two statements : Statement I : A uniform wire of resistance 80 Ω is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5 Ω. Statement II : Two resistance 2R and 3R are connected in parallel in an electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio 3 : 2 . In the light of the above statements, choose the most appropriate answer from the options given 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 statement II is correct.

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 )

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.Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is 6: 5 and their respective masses ratio is 9: 4. Then, the ratio of their charges will be (1) 8: 5 (2) 5: 4 (3) 5: 3 (4) 8: 7 JEE Main 2022 (25 Jul Shift 1) JEE Main Previous Year Paper

Q11.A longitudinal wave is represented by y = 10 sin 2π(nt −xλ ) cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to (1) 2π (2) 5π (3) π (4) 5π 2

Q11.A wire of resistance 𝑅1$R_{1}$ is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is: (1) 9: 1 (2) 1: 9 (3) 4: 1 (4) 3: 1

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.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.Match List - I with List - II. List-I List-II (A) AC generator (I) Detects the presence of current in the circuit (B) Galvanometer (II) Converts mechanical energy into electrical energy (C) Transformer (III) Works on the principle of resonance in AC circuit (D) Metal detector (IV) Changes an alternating voltage for smaller or greater value (1) A - II, B - I, C - IV, D - III (2) A - II, B - I, C - III, D - IV (3) A - III, B - IV, C - II, D - I (4) A - III, B - I, C - II, D - IV

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.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.Two identical charged particles each having a mass 10 g and charge 2. 0 × 10−7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0. 25, find the value of L. [Use g = 10 ms−2 ] (1) 12 cm (2) 10 cm (3) 8 cm (4) 5 cm

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.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.

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

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.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 force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be. (1) 5 N (2) 10 N (3) 20 N (4) Zero

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