JEE Main 2023 · 6 Apr 2023 Shift 2

A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at 80 cm mark and 1 m mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180 cm mark. The % error in the estimation of focal length is:

1. A0.51
2. B0.85
3. C1.02
4. D1.70

A particle starts with an initial velocity of 10.0 ms⁻¹ along x-direction and accelerates uniformly at the rate of 2.0 ms⁻². The time taken by the particle to reach the velocity of 60.0 ms⁻¹ is ____________.

1. A6s
2. B25s
3. C30s
4. D3s

A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3.14 s. The radius of the merry-go-round is 2 m. The centrifugal force on the child will be

1. A40 N
2. B50 N
3. C80 N
4. D100 N

Choose the incorrect statement from the following:

1. AWhen a body falls towards earth, the displacement of earth towards the body is negligible.
2. BThe speed of satellite in a given circular orbit remains constant.
3. CFor a planet revolving around the sun in an elliptical orbit, the total energy of the planet remains constant.
4. DThe linear speed of a planet revolving around the sun remains constant.

The weight of a body on the surface of the earth is 100 N. The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:

1. A25 N
2. B50 N
3. C64 N
4. D100 N

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal’s principle is observed. Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container. In the light of the above statements, choose the most appropriate answer from the options given below

1. ABoth A and R are correct and R is the correct explanation of A
2. BBoth A and R are correct but R is NOT the correct explanation of A
3. CA is correct but R is not correct
4. DA is not correct but R is correct

A body cools in 7 minutes from 60°C to 40°C. The temperature of the surrounding is 10°C. The temperature of the body after the next 7 minutes will be:

1. A28°C
2. B30°C
3. C32°C
4. D34°C

The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v₀. Then, r.m.s. speed of the gas at 800 K will be:

1. Av₀/4
2. B2v₀
3. Cv₀
4. D4v₀