Polar molecules are the molecules:

Match Column I and Column II with appropriate relations.

If force $[F]$, acceleration $[A]$ and time $[T]$ are chosen as the fundamental physical quantities, then find the dimensions of energy:
1. $\left[FAT^{-1}\right]$
2. $\left[FA^{-1}T\right]$
3. $\left[FAT\right]$
4. $\left[FAT^{2}\right]$

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: 

A small block slides down on a smooth inclined plane starting from rest at time $t=0.$ Let $S_n$ be the distance traveled by the block in the interval $t=n-1$ to $t=n.$ Then the ratio $\dfrac{S_n}{S_{n +1}}$ is:

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

A thick current-carrying cable of radius '$R$' carries current $'I'$ uniformly distributed across its cross-section. The variation of magnetic field $B(r)$ due to the cable with the distance '$r$' from the axis of the cable is represented by:

1.		2.
3.		4.

Find the value of the angle of emergence from the prism given below for the incidence ray shown. The refractive index of the glass is $\sqrt{3}$.

1. $45^{\circ}$
2. $90^{\circ}$
3. $60^{\circ}$
4. $30^{\circ}$

A screw gauge gives the following readings when used to measure the diameter of a wire:
Main scale reading: $0$ mm
Circular scale reading: $52$ divisions 
Given that $1$ mm on the main scale corresponds to $100$ divisions on the circular scale, the diameter of the wire that can be inferred from the given data is: