If the velocity of a body is doubed, how much should the mass be reduced so that the linear momentum remains the same? Explain.

In the circuit shown below R represents an electric bulb. If the frequency (v=omega/(2pi)) of the supply is doubled, how should the value of C and L should be changed so that the glow of bulb remains unchnged?

A car can finish a certain journey in 10 hours at the speed of 48 km//hour.By how much should its speed be increased so that it may take only 8 hours to cover the same distance ?

A body is moving such that its linear momentum remains constant. Is the body in equilibrium?

The velocity of a body of mass 2 kg as a function of t is given by vec v (t) = 2t hat i + t^2 hatj . Find the momentum and the force acting on it, at time t = 2s.

A light and a heavy body have same linear momentum. Which one has greater K.E.?

Akhtar, Kiran and Rahul were riding in a motor car that was moving with a high velocity on an express-way when an insect hit the windshield and got struck on wind-screen. Akhtar and Kiran started pondering over the situation. Kiran suggested that the insect suffered a greater change in momentum as compared to the change in momentum of motor car (because change in the velocity of insect was much more than that of motor car). Akhtar said that since the motor car was moving with a larger velocity, it exerted a larger force on the insect. As a result, the insect died. Rahul while putting in entirely new explanation said that both the motor car and the insect experienced the same force and same change in their momentum. Comment on these suggestions.

Two radioactive nuclides A and B have half-lives 50 min and 10 min respectively . A fresh sample contains the nuclides of B to be eight times that of A. How much time should elapse so that the mumber of nuclides of A becomes double of B ? a) 30 b) 40 c) 50 d) 100

A rectangular loop of sides 8 cm and 2 cm with a cut is stationary between the pole pieces of an electromagnet. The magnetic field of the magnet is normal to the loop. The current feeding the electromagnet is reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T s^-1 . If the cut is joined and the loop has a resistance of 1.6 Omega , how much power is dissipated by the loop as heat? What is the source of this power?