A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1g and 3g. The total KE of the fragments is J. What is the KE of the smaller fragment?
a)		b)		c)		d)

(c)

Let be the masses of first and second fragments respectively and be their velocities after explosion.

From conservation of momentum

Where, M is mass of bomb before explosion and vits velocity.

Since, bomb is stationary, hence v=0

Given ,

kg and

Or          .............(i)

Total kinetic energy is

        …(ii)

     …(iii)

Or    

Or    

Hence, kinetic energy of smaller fragment is