Question

The bodies of equal mass have kinetic energy in the ratio of 4 : 9. The ratio of their velocity is
(A) 3:2
(B) 4:9
(C) 2:3
(D) 9:4​

Answer 1

Answer:

let the kinetic energy for the velocity 1 be 4x

let the kinetic energy for the velocity 2 be 9x

than,from K.E is equal to 1/2mv2. for velocity 1

4x is equal to 1/2mv2

2x is equal to I/2mv for v1. eq 1

similarly, 3x is equal to 1/2mv for v2. eq2

divide eq 1by2

On dividing,we get v1/v2 is equal to 3/2