Question

Two bodies of masses m and 4m are moving with equal momentum. The ratio of the velocities with which they are travelling is
a) 1:4
b) 2:4
c) 4:1
d) 4:2

Answer 1

Answer:

Ratio of the velocities with which the bodies are travelling is 4:1

Answer - Option c

Explanation:

m1 = m (mass of first body)

m2 = 4m (mass of second body)

Momentum of both bodies are equal.

let velocity of first body be v1 and that of second body be v2.

Therefore, momentum of first body = m1v1 = mv1

momentum of second body = m2v2 = 4mv2

Since, Momentum of both bodies are equal-

mv1 = 4mv2

v1/v2 = 4m/m

v1/v2 = 4/1

Therefore V1 : V2 = 4:1

Answer - Option c