NEET Physics MCQs

The dimensions of Planck's constant are the same as those of:

The wavelength $\lambda$ of matter waves is given by $\lambda = \frac{h}{p}$, where $h$ is Planck's constant and $p$ is momentum. If a new quantity $Z$ is defined as $Z = \frac{h^2}{\lambda^2 p c}$, where $c$ is the speed of light, the dimensions of $Z$ are:

Given that the dimensions of angular momentum are [ML$^2$T$^{-1}$] and those of action are [ML$^2$T$^{-1}$], which of the following quantities is dimensionless?

The equation for momentum ($p = mv$) is a direct consequence of which of Newton's laws?

A thin uniform disc of mass $M$ and radius $R$ is rotating with angular velocity $\omega$ about an axis passing through its center and perpendicular to its plane. A thin ring of mass $m$ and radius $r$ is gently placed on the disc concentrically. The final angular velocity of the combined system is:

A particle is projected with velocity $v_0$ at an angle $heta$ with the horizontal. At the highest point of its trajectory, it explodes into two fragments of masses $m_1$ and $m_2$. The lighter fragment $m_1$ falls vertically downwards with zero initial speed. If the range of the original projectile was $R$, the distance from the point of projection where the heavier fragment lands is:

A projectile is launched with an initial velocity $v_0$ at an angle $heta$ with the horizontal. At the highest point of its trajectory, the rate of change of its momentum is:

A particle of mass $m_1$ moving with velocity $v_1$ collides elastically with a stationary particle of mass $m_2$. After the collision, $m_1$ moves with velocity $v'_1$ at an angle $heta$ to the initial direction. If $m_2 = 2m_1$, and $v'_1 = \frac{v_1}{\sqrt{3}}$, what is $heta$?

A rocket in space ejects gas at a constant rate $\mu$ kg/s with a constant speed $v_e$ relative to the rocket. If the initial mass of the rocket is $M_0$, what is its velocity after time $t$?

Two identical balls of clay, each with mass $m$ and speed $v$, collide head-on and stick together. What is the magnitude of the impulse experienced by each ball?