A car of mass 1000 kg moves on a circular track of radius 20 m. If the coefficient of friction of 0.64. The maximum velocity with which the car can be moved is

• 11.2m/s

• 112m/s

• $\frac{0.64\times 20}{1000\times 100}\mathrm{m}/\mathrm{s}$

• $\frac{1000}{64\times 20}\mathrm{m}/\mathrm{s}$

The angle through which a cyclist bends when he covers a circular path of 34.3 m circumference in $\sqrt{22}$ sec is (g=9.8 m/s)

• 15⁰

• 30⁰

• 60⁰

• 45⁰

The radius of earth is 6400 km and g = 10 m/s². In order that a body of 5 kg weight is zero at the equator, the angular speed is

• $\frac{1}{800}\mathrm{rad}/\sec$

• $\frac{1}{1600}\mathrm{rad}/\sec$

• $\frac{1}{400}\mathrm{rad}/\sec$

• $\frac{1}{80}\mathrm{rad}/\sec$

The escape velocity for the earth is 11.2 km/sec. The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the planet is

• 56.0 km/sec

• 280 km/sec

•  112 km/sec

•  56 km/sec

A wheel rotates with constant acceleration of 2.0 radian/sec² .If the wheel starts from rest the number of revolution it makes in the first ten second, will be approximately

• 32

• 24

• 16

• 8

The moment of inertia of a body about a given axis 1.2 kgm²_• Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J and angular acceleration of 25 rad/s² must be applied about the axis for a duration of

• 10s

• 8s

• 2s

• 4s

Dimension of relative density is

• kgm^-3

• ML^-3

• dimensionless

• M²L^-6

A ball is thrown from height 'h' and another from '2h'. The ratio of time taken by the two balls to reach ground is

• $1:\sqrt{2}$

• $\sqrt{2}:1$

• 2:1

• 1:2

A ball is thrown upwards, it takes 4sec to reach back to the ground. Find its initial velocity

• 30ms^-1

• 10ms^-1

• 40ms^-1

• 20ms^-1

A man is at height of 100 m. he sees a car which makes an angle of $\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$6$}\right.$ with man's position. If the car moves to a point where angle is $\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$ what is the distance moved by it? 

• $\left(\frac{100}{\sqrt{3}}\right)\mathrm{m}$

• $\left(200\sqrt{3}\right)\mathrm{m}$

• $\left(\frac{200}{\sqrt{3}}\right)\mathrm{m}$

• $\left(\frac{150}{\sqrt{3}}\right)\mathrm{m}$