NEET Physics MCQs

The dimensional formula of gravitational potential is:

A spring of force constant 'k' is compressed by a distance 'x' and used to launch a block of mass 'm' up a frictionless incline of angle $heta$. What is the maximum distance 'd' the block travels along the incline before momentarily coming to rest?

Two particles of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley. If the system is released from rest, and $m_1 > m_2$, what is the magnitude of the change in gravitational potential energy of the system when $m_1$ descends a distance $h$?

If the mass of an object is doubled while keeping its height constant, its gravitational potential energy will:

A ball is held at a height of 2 meters above the ground. Which of the following best describes its potential energy?

Two identical balls are held at different heights above the ground. The ball held at the greater height has:

Two concentric spherical shells of mass $M_1$ and $M_2$ and radii $R_1$ and $R_2$ ($R_2 > R_1$) respectively, are placed in free space. The gravitational potential at a distance $r$ such that $R_1 < r < R_2$, from the center is:

A particle is projected vertically upwards from the surface of Earth with a speed equal to half the escape velocity. The maximum height reached by the particle, measured from the surface of Earth, is (R = radius of Earth):

A spherical shell of mass $M$ and radius $R$ has a small hole. A particle of mass $m$ is released from rest at a distance of $2R$ from the center of the shell. As the particle passes through the hole, its speed is $v_1$. Now, if the particle is released from rest at a distance of $\frac{3R}{2}$ inside the shell, its speed as it passes through the hole is $v_2$. What is the ratio $\frac{v_1}{v_2}$?

A planet has a radius R and density $\rho$. A satellite is launched from its surface with a speed $v = \sqrt{\frac{8}{9} \frac{4\pi G\rho R^2}{3}}$. The maximum height attained by the satellite above the planet's surface is: