Practice Questions

Q21.A ball of mass 0. 5 kg is dropped from the height of 10 m . The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is _____ m. [Use g = 10 m s−2 ]

Q21.A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is 1 . The value of x is _____ . x

Q21.If →𝐴= 2 ^i + 3 ^j - ^k m and →𝐵= ^i + 2 ^j + 2 ^k m. The magnitude of component of vector →𝐴 along vector →𝐵 will be _____ m.

Q22.A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g . The bob is pulled aside until the string is at 60° with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be _____ m s−1 . (if g = 10 m s−2 ) JEE Main 2022 (28 Jun Shift 1) JEE Main Previous Year Paper

Q22.The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be _____ m . Given, the length of the rod is 10√3 m.

Q23.A batsman hits back a ball of mass 0. 4 kg straight in the direction of the bowler without changing its initial speed of 15 m s−1 . The impulse imparted to the ball is _____ N s .

Q23.A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then the trolly car starts moving with velocity 2 m s−1 . The velocity of the running man was _____ m s−1 , when he jumps into the car. + m s−1 . The magnitude of

Q24.The velocity of upper layer of water in a river is 36 km h-1. Shearing stress between horizontal layers of water is 10-3 N m-2. Depth of the river is _____ m. (Co-efficient of viscosity of water is 10-2 Pa s)

Q24.Nearly 10% of the power of a 110 W light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of 1 m from the bulb to a distance of 5 m is 𝑎× 10-2 W m-2. The value of '𝑎' will be

Q24.Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y = (10 cos πx sin 2πtT ) cm . The amplitude of the particle at x = 34 cm will be _____ cm.

Q25.Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is π. The difference of resultant intensities, at the point A and B, will be _____ I .

Q25.Two satellites 𝑆1 and 𝑆2 are revolving in circular orbits around a planet with radius 𝑅𝐼= 3200 km and 𝑅2 = 800 km respectively. The ratio of speed of satellite 𝑆1 to the speed of satellite 𝑆2 in their respective 1 orbits would be where 𝑥= 𝑥

Q25.A capacitor C1 of capacitance 5 μF is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 μF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is _____ μC.

Q25.The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be _____ J. (Given R = 8. 31 J mol−1 ⋅K)

Q25.In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3 : 2 , the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm.

Q26.Two electric dipoles of dipole moments 1 . 2 × 10-30 cm and 2 . 4 × 10-30 cm are placed in two difference uniform electric fields of strengths 5 × 104 N C-1 and 15 × 104 N C-1 respectively. The ratio of maximum 1 torque experienced by the electric dipoles will be 𝑥. The value of 𝑥 is _____ .

Q26.An inductor of 0. 5 mH , a capacitor of 200 μF and a resistor of 2 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ______ ×102 Hz .

Q26.In a potentiometer arrangement, a cell of emf 1. 20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1. 80 V . The difference in balancing length of potentiometer wire in above conditions will be _____ cm.

Q26.A long cylindrical volume contains a uniformly distributed charge of density ρ C m−3 . The electric field inside the cylindrical volume at a distance x = 2ε0ρ m from its axis is _____ V m−1 . JEE Main 2022 (27 Jul Shift 1) JEE Main Previous Year Paper

Q26.A 10 Ω, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 μs. The average e.m.f. induced in the coil is _____ V.

Q27.A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 Ω, at resonance in the circuit, will be _____ A.

Q27.Two 10 cm long, straight wires, each carrying a current of 5 A are kept parallel to each other. If each wire experienced a force of 10−5 N , then separation between the wires is _____ cm.

Q27.In meter bridge experiment for measuring unknown resistance ' S ', the null point is obtained at a distance 30 cm from the left side as shown at point D. If R is 5. 6 kΩ, then the value of unknown resistance ' S ' will be _____ Ω.

Q27.A closely wounded circular coil of radius 5 cm produces a magnetic field of 37. 68 × 10−4 T at its center. The current through the coil is _____ A . [Given, number of turns in the coil is 100 and π = 3. 14]

Q27.A capacitor of capacitance 500 𝜇F is charged completely using a de supply of 100 V. It is now connected to an inductor of inductance 50 mH to form an LC circuit. The maximum current in LC circuit will be _____ A.