Question

Two bodies are moving with same kinetic energy and their masses are in the ratio 1:2. The ratio of
their velocities is
a) 1:1
b) 1:2
c) square root of 2:1
d) 2:1
​

Answer 1

Answer:

c

Step-by-step explanation:

Let the masses be X abd 2X

Let the velocity of body with mass x be v1 and that of the body with mass 2x be v2.

Kinetic energy of both the bodies are equal. Therefore,

(1/2) x X x (v1)² = (1/2) x 2X x (v2)²

=> v1/v2 = √(2/1)

Hence, v1:v2 = √2:1