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

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true not 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

D

Explanation

Kinetic energy of a body of mass `m_1`
`K_1=1/2m_1v_1^2=p_1^2/(2m_1)`
Again, kinetic energy of a body of mass `m_2`.
`K_2=1/2m_2v_2^2=p_2^2/(2m_2)`
If `p_1=p_2 , K_1/K_2=m_2/m_1`
If `m_2 gt m_1`
Then , `K_1 gt 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.