Question:
Two bodies of masses m and 4m are moving with equal kinetic energies. The ratio of their linear momenta is
Two bodies of masses m and 4m are moving with equal kinetic energies. The ratio of their linear momenta is
Updated On: May 4, 2024
- $1 : 2$
- $1 : 4$
- $4 : 1$
- $1 : 1$
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The Correct Option is A
Solution and Explanation
Mass of first body = m;
Mass of second body = 4m and KE$_1$ = KE$_2$.
Linear momentum of a body
p=$\sqrt{2mE} \sqrt m .$
Therefore $\frac{p_1}{p_2}=\sqrt{\frac{m_1}{m_2}}=\sqrt{\frac{m}{4m}}=\sqrt{\frac{1}{4}}=\frac{1}{2}$
or $p_1:p_2 = 1: 2.$
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