NEET Questions

The quantity $\sqrt{\frac{\epsilon_0}{\mu_0}}$ has the dimensions of:

If the velocity of light $c$, gravitational constant $G$, and Planck's constant $h$ are chosen as fundamental units, then the dimensions of mass in this system 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?

A particle moves such that its displacement $x$ varies with time $t$ as $x = At^2 + Bt^3$. The graph of velocity versus time will be:

The position-time graph of a particle is a semicircle with radius $R$. The average velocity of the particle over the entire journey is:

The velocity-time graph of a particle is given by $v = v_0(1-e^{-kt})$, where $v_0$ and $k$ are constants. The displacement of the particle at time $t$ is:

The acceleration of a particle is given by $a = -ω^2x$. The graph representing the variation of velocity ($v$) with displacement ($x$) will be:

A ball is thrown vertically upwards. Which of the following graphs best represents the variation of its kinetic energy with height?

A particle starts from rest and moves with a varying acceleration as shown in the graph. If the particle's velocity at $t=4$ s is $v$, its velocity at $t=8$ s will be:

A car travels at a speed of 60 km/h. What is its speed in m/s?