Question

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

• A. 4 : 1
• B. $\sqrt{2}:1$
• C. 1 : 2
• D. 1 : 16

Answer 1

The correct option is C

1 : 2

$P=\sqrt{2mE}$, If E are same then $P\infty \sqrt{m}$

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