Two bodies having kinetic energy in the ratio 4 : 1 , are moving with same linear velocity. The ratio of their masses is

Step-by-step solution

Kinetic energy, K . E = 1 2 m v 2 ⇒ K . E ∝ m v 2 ⇒ K . E 1 K . E 2 = m 1 v 1 2 m 2 v 2 2 ⇒ 4 1 = m 1 × 1 m 2 × 1 ⇒ m 1 : m 2 = 4 : 1