JEE Main 2023 · 8 Apr 2023 Shift 2

The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27°C is

1. A327°C
2. B627°C
3. C927°C
4. D1227°C

Work done by a Carnot engine operating between temperatures 127°C and 27°C is 2 kJ. The amount of heat transferred to the engine by the reservoir is :

1. A2 kJ
2. B2.67 kJ
3. C8 kJ
4. D4 kJ

A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm². The maximum pressure the smaller piston would have to bear is [Assume g = 10 m/s²]:

1. A20 × 10⁶ Pa
2. B2 × 10⁵ Pa
3. C200 × 10⁶ Pa
4. D2 × 10⁶ Pa

The acceleration due to gravity at height h above the earth if h<<R (Radius of earth) is given by

1. Ag′ = g(1 − 2h/R)
2. Bg′ = g(1 − h/2R)
3. Cg′ = g(1 − h²/2R²)
4. Dg′ = g(1 − 2h²/R²)

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be-

1. A3L
2. B4L
3. C8L
4. D9L

Given below are two statements: Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time. In the light of given statements, choose the correct answer from the options given below.

1. ABoth Statement I and Statement II are true.
2. BBoth Statement I and Statement II are False.
3. CStatement I is correct but Statement II is false.
4. DStatement I is incorrect but Statement II is true.

The trajectory of projectile, projected from the ground is given by y = x − x²/20. Where x and y are measured in meter. The maximum height attained by the projectile will be.

1. A5 m
2. B10√2 m
3. C10 m
4. D200 m

A bullet of mass 0.1 kg moving horizontally with speed 400 ms⁻¹ hits a wooden block of mass 3.9 kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20 m before coming to rest. The coefficient of friction between the block and the surface is ______. (Given g = 10 m/s²)

1. A0.25
2. B0.50
3. C0.65
4. D0.90