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

Fractional decrease in kinetic energy of neutron
`=1-((m_(1)-m_(2))/(m_(1) + m_(2)))^(2)` [As m=1 and m=2]
`= 1- ((1-2)/(1+2))^(2)= 1- ((1)/(3))^(2)= 1 - (1)/(9) = (8)/(9)`