The dimensions of  are

• [L^1/2 T^-1/2]

• [L^-1T]

• [LT^-1]

• [L^1/2 T^1/2]

C.

[LT^-1]

A stone is dropped from a height h. It hits the ground with a certain momentum p. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

• 68%

• 41%

• 200%

• 100%

B.

41%

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P_o. The instantaneous velocity of this car is proportional to

• t²P_o

• t^1/2

• t^-1/2

• 

A car of mass m is moving on a level circular track of radius R. If  represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by

• 
• 
• 
• 

D.

In this condition, centripetal force is equal to static frictional force between road and tyres, 
so

A circular platform is mounted on the frictionless vertical axle. Its radius R =2 m and its moment of inertia about the axle is 200 kg m². It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 ms^-1 relative to the ground. Time taken by the man to complete one revolution is

• π sec

• 3π/2 sec

• 2π sec

• π/2 sec