A steel ball falls from a height h on a floor for which the coefficient of restitution is e. The height attained by the ball after two rebounds is

The velocity attained after a fall through a height h is given byv2=2ghThus h∝v2. The velocity after first rebound is ev. Therefore, the height attained after first rebound =e2h. Velocity after second rebound is e2v. Hence the height attained after rebound is second e4h. Thus the correct choice is (4).