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

Options

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

Answer

C

Explanation

`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))`.