A bullet is fired from a rifle which recoils after firing. The ratio of kinetic energy of the rifle to that of the bullet is:

Explanation

The situationis shown in ure. The object stasrts falling from the point B. Draw a vertical line BC through B. Suppose the bullet reaches the line BC at a point D and it takes a time t in doing so.

Consider the vertical motion of the bullet. The initial vertical velocity =0. The distance travelled vertically `=BD=1/2 gt^2`. In time t the object also travels a distance `1/2gt^2=BD.` Hence at time t, the object will also be at teh same point D. Thus, the bullet hits the object at point D.