Q. A neutron makes a head-on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is

A) 16/81
B) 8/9
C) 8/27
D) 2/3
Explanation

(b) Fractional decrease in kinetic energy of neutron
$= - \left( \frac{m_{1} - m_{2}}{m_{1} + m_{2}} \right)^{2}$ [As $m_{1} = 1$ and $m_{2} = 2$]
$= 1 - \left( \frac{1 - 2}{1 + 2} \right)^{2} = 1 - \left( \frac{1}{3} \right)^{2} = 1 - \frac{1}{9} = \frac{8}{9}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.