Question

Two masses of 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

• A. 1 : 9
• B. 9 : 1
• C. 1 : 3
• D. 3 : 1

Answer 1

The correct option is C

1 : 3

$P=\sqrt{2mE}\therefore P\propto \sqrt{m}\text{if E = constant}.So\frac{P_1}{P_2}=\sqrt{\frac{m_1}{m_2}}=\sqrt{\frac{1}{9}}=\frac{1}{3}.$