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Two bodies of masses m(1) and m(2) have...

Two bodies of masses `m_(1) and m_(2)` have same kinetic energy. The ratio of their momentum is

A

proportional to their masses

B

proportional to the squares of their masses

C

proportional to the square roots of their masses

D

inversely proportional to their masses

Text Solution

Verified by Experts

The correct Answer is:
C
`k_1 = k_2 implies 1/2 m_1 v_1 = 1/2 m_2 v_2^2 implies (P_1^2)/(2m_1) = (P_2^2)/(2 m_2) implies (P_1)/(P_2) = (sqrt(m_1))/(sqrt(m_2))`.
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