Two masses are attached to a rod end to end. If torque is applied they rotate with angular acceleration $\mathrm{\alpha }$. If their distances are doubled  and same torque is applied, then they move with angular acceleration

• 4 α

• α

• 3 α

• α/4

A particle is revolving in a circle of radius R. If the force acting on it is inversely proportional to R, then the time period is proportional to

• R

• R²

• 1/R

• 1/R²

Speed in kilometre per hour in S.I unit is represented as

• KMPH

• Kmhr^-1

• Kmh^-1

• kilometre/hour

If mass of an atom M moving with speed v, what will be its speed after the emission of an α-particle is zero?

A body of mass M moving with velocity V explodes into two equal parts. Id one comes to rest and the other moves with velocity v, what would be the value of v?

• V

• $\frac{\mathrm{V}}{\sqrt{2}}$

• 4V

• 2V

The orbital velocity of an artificial satellite in a circular orbit above the earth's surface at a distance equal to radius of earth is v. For a satellite orbiting at an altitude half of earth's radius, orbital velocity is

• $\frac{3}{2}$v

• $\sqrt{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} \mathrm{v}$

• $\frac{2}{\sqrt{3}}$v

• $\frac{2}{3}$v

S.I unit of velocity is 

• ms

• m sec^-1

• m hr^-1

• m/hr

8.

Maximum energy transfer for an elastic collision will occur if one body is at rest when

• m₁ = m₂

• m₂ = $\frac{1}{2}$m₁

• m₁ >>  m₂

• m₂ >> m₁

Which of the following is path dependent?

• U

• PdV

• P

• V

Escape velocity of a rocket is 11.2 km/sec. It is released at an angle of 45^°. Its escape velocity is

• 11.2 m/sec

• 11.2$\sqrt{2}$ km/sec

• 11.2 km/sec

• 22.3 km/sec