Question

Two bodies of masses $m$ and $2m$ have same momentum. Their respective kinetic energies $K_1$ and $K_2$ are in the ratio :

• A. $1:2$
• B. $2:1$
• C. $1:\sqrt{2}$
• D. $1:4$

Answer 1

The correct option is B $2:1$

$p^2=2mK$

$K=\frac{p^2}{2m}$

As given momentum $p$ is same for both bodies

$\frac{K_1}{K_2}=\frac{m_2}{m_1}=\frac{2m}{m}$

$\frac{K_1}{K_2}=\frac{2}{1}$