Practice Questions

Q20.Amplitude modulated wave is represented by VAM = 10[1 + 0. 4 cos(2π × 104t)] cos(2π × 107t). The total bandwidth of the amplitude modulated wave is (1) 10 kHz (2) 20 MHz (3) 20 kHz (4) 10 MHz

Q20.A square wave of the modulating signal is shown in the figure. The carrier wave is given by C(t) = 5 sin(8πt) Volt. The modulation index is (1) 0. 2 (2) 0. 1 (3) 0. 3 (4) 0. 4

Q20.Identify the correct Logic Gate for the following output (Y ) of two inputs A and B . (1) (2) (3) (4)

Q20.The TV transmission tower at a particular station has a height of 125 m . For doubling the coverage of its range, the height of the tower should be increased by (1) 500 m (2) 375 m (3) 250 m (4) 125 m

Q20.A screw gauge of pitch 0. 5 mm is used to measure the diameter of uniform wire of length 6. 8 cm, the main scale reading is 1. 5 mm and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is [Screw gauge has 50 divisions on the circular scale] (1) 6. 8 cm2 (2) 3. 4 cm2 (3) 3. 9 cm2 (4) 2. 4 cm2

Q20.Match List-I with List-II List-I List-II (A) Television signal I. 03 KHz (B) Radio signal II. 20 KHz (C) High Quality Music III. 02 MHz (D) Human speech IV. 06 MHz (1) A −I, B −II, C −III, D −IV (2) A −IV, B −III, C −I, D −II (3) A −IV, B −III, C −II, D −I (4) A −I, B −II, C −IV, D −III

Q20.At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height of the tower should be increased to (1) 200 m (2) 300 m (3) 600 m (4) 900 m

Q20.A FM Broad cast transmitter, using modulating signal of frequency 20 kHz has a deviation ratio of 10 . The Bandwidth required for transmission is : (1) 220 kHz (2) 180 kHz (3) 360 kHz (4) 440 kHz

Q20.In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitude are found to be 6 V and 2 V respectively. The modulation index is (1) 100% (2) 80% (3) 60% (4) 50%

Q21.A car is moving with speed of 150 km h-1 and after applying the brake 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.

Q21.From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1. 5 s. A third JEE Main 2022 (24 Jun Shift 1) JEE Main Previous Year Paper ball released, from the rest from the same location, will reach the ground in _____ s.

Q21.For 𝑧= 𝑎2𝑥3𝑦 12, where '𝑎' is a constant. If percentage error in measurement of '𝑥' and '𝑦' are 4%and 12%, respectively, then the percentage error for '𝑧' will be _____ % .

Q21.A car covers AB distance with first one-third at velocity v1 m s−1 , second one-third at v2 m s−1 and last one- third at v3 m s−1 . If v3 = 3v1, v2 = 2v1 and v1 = 11 m s−1 , then the average velocity of the car is _____ m s−1 .

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.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.

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 the projection of 2 ^𝑖+ 4 ^𝑗- 2 ^𝑘 on ^𝑖+ 2 ^𝑗+ 𝛼 ^𝑘 is zero. Then, the value of 𝛼 will be

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.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.

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

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.