Question

Two bodies of masses $m$ and $4m$ are moving with equal $K.E$. The ratio of their linear momenta is

• A. $1:2$
• B. $1:4$
• C. $4:1$
• D. $1:1$

Answer 1

The correct option is A $1:2$

We know that the relation between the linear momentum $P$ and the kinetic energy $K$ is given by,

$P=\sqrt{2mK}$

$\frac{P_1}{P_2}=\sqrt{\frac{m}{4m}}=1:2$

Hence option A is the correct answer