Question

A light body and a heavy body have same momentum. Then they also have same kinetic energy. Kinetic energy does not depend on mass of the body.

• A. If both assertion and reason are true and reason is the correct explanation of assertion
• B. If both assertion and reason are true but reason is not the correct explanation of assertion
• C. If assertion is true but reason is false
• D. If both assertion and reason are false

Answer 1

Answer: (D)

If both assertion and reason are false

Answer 2

Kinetic energy of a body of mass $m_1$ $K_{1} = \frac{1}{2}m_{1}v^{2}_{1} = \frac{p^{2}_{1}}{2m_{1}}$ Again, kinetic energy of a body of mass $m_{2}$. $K_{2} = \frac{1}{2}m_{2}v^{2}_{2} = \frac{p^{2}_{2}}{2m_{2}}$ If $p_{1} = p_{2}$, $\frac{K_{1}}{K_{2}} = \frac{m_{2}}{m_{1}}$ If $m_2 > m_1$ Then, $K_1 > K_2$ i.e. the kinetic energy of light body will be more than the kinetic energy of heavy body when both have same momentum.