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
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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
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