NTA JEE Main 6th April 2023 Shift 2

A particle starts with an initial velocity of 10.0 ms$$^{-1}$$ along x-direction and accelerates uniformly at the rate of 2.0 m s$$^{-2}$$. The time taken by the particle to reach the velocity of 60.0 m s$$^{-1}$$ is ______.

As shown in the figure, a particle is moving with constant speed $$\pi$$ m s$$^{-1}$$. Considering its motion from A to B, the magnitude of the average velocity is

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

A small particle of mass $$m$$ moves in such a way that its potential energy $$U = \dfrac{1}{2}m\omega^2 r^2$$ where $$\omega$$ is constant and $$r$$ is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, the radius of n$$^{th}$$ orbit will be proportional to

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:

Choose the incorrect statement from the following:

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.

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

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 $$v_0$$. Then, r.m.s. speed of the gas at 800 K will be:

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is: