NEET UG 2021 — Mechanics

A ball of mass $0.15\mathrm{kg}$ is dropped from a height $10m$ strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is $(g=10m{s}^{-2})$ nearly :

Water falls from a height of $60m$ at the rate of $15\mathrm{kg}{s}^{-1}$ to operate a turbine. The losses due to frictional force are $10%$ of the input energy. How much power is generated by the turbine? $(g=10m{s}^{-2})$

A particle is released from height $S$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively___

A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : $0\mathrm{mm}$ Circular scale reading : $52\mathrm{divisions}$ Given that $1\mathrm{mm}$ on main scale corresponds to $100\mathrm{divisions}$ on the circular scale. The diameter of the wire from the above data is:

A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it equals $4R$. The angle of projection $\theta$ is then given by___

A car starts from rest and accelerates at $5m{s}^{-2},\text{at}t=4s$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t=6s$ ? $(g=10m{s}^{-2})$

From a circular ring of mass $M$ and radius $R$ an arc corresponding to a $90^{\circ}$ sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is $K$ times $M{R}^{2}$. Then the value of $K$ is___

The velocity of a small ball of mass $M$ and density $\rho$, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{\rho }{2}$, then the viscous force acting on the ball will be:

The escape velocity from the Earth's surface is $v$. The escape velocity from the surface of another planet having a radius four times that of Earth and the same mass density is:

If $E$ and $G$ respectively denote energy and gravitational constant, then $\frac{E}{G}$ has the dimensions of:

A uniform rod of length $200\mathrm{cm}$ and mass $500g$ is balanced on a wedge placed at $40\mathrm{cm}$ mark. A mass of $2\mathrm{kg}$ is suspended from the rod at $20\mathrm{cm}$ and another unknown mass $m$ is suspended from the rod at $160\mathrm{cm}$ mark as shown in the figure. Find the value of $m$ such that the rod is in equilibrium. $(g=10m{s}^{-2})$ 

If force $[F]$, acceleration $[A]$ and time $[T]$ are chosen as the fundamental physical quantities. Find the dimensions of energy.

A particle of mass $m$ is projected with a velocity $v=k{V}_{e}(k<1)$ from the surface of the earth (${V}_{e}=$ escape velocity). The maximum height above the surface reached by the particle is___

A small block slides down on a smooth inclined plane, starting from rest at time $t=0$. Let ${S}_{n}$ be the distance travelled by the block in the interval $t=n-1$ to $t=n$. Then, the ratio $\frac{{s}_{n}}{{s}_{n+1}}$ is: