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

Options

A. `16//81`
B. `8//9`
C. `8//27`
D. `2//3`

Answer

B

Explanation

(b) Fractional energy decreases in kinetic energy of neutron
=`1-((m_1 - m_2)/(m_1 + m_2))^2 [As m_1 - 1 and m_2 = 2]`
=`1 -((1 - 2)/(1 + 2))^2 = 1 - ((1)/(3))^2 = 1 - (1)/(9) =(8)/(9)`.