Question

A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their respective momenta will be

• A. 1:1
• B. 2:1
• C. 1:4
• D. 4:1

Answer 1

Answer: (B)

2:1

Answer 2

The ratio of their respective momenta

⇒ $\frac{P_1}{P_2}$ $\bigg[P = \sqrt{ 2mKE}\bigg]$

= $\sqrt{ \frac{m_1}{m_2}}$

= $\sqrt{\frac{8}{2}} \; \; \; [mass = 8\;kg \;and\; 2\;kg]$

= $\frac{2}{1}$

Therefore, the correct option is (B): $\frac{2}{1}$