Question

Two masses of $1gm$ and $4gm$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentums is

• A. $4:1$
• B. $\sqrt{2}:1$
• C. $1:2$
• D. $1:6$

Answer 1

The correct option is C $1:2$

The relation between momentum $P$ and kinetic energy $K$

$P=\sqrt{2Km}$

$\Rightarrow P\propto \sqrt{m}$

$\therefore \frac{P_1}{P_2}=\sqrt{\frac{m_1}{m_2}}=\sqrt{\frac{1}{4}}=\frac{1}{2}$