Work Energy And Power Question 123

Question: A neutron makes a head-on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is [AIIMS 2003]

Options:

A) 16/81

B) 8/9

C) 8/27

D) 2/3

Show Answer

Answer:

Correct Answer: B

Solution:

Fractional decrease in kinetic energy of neutron = $ 1-{{( \frac{m_1-m_2}{m_1+m_2} )}^{2}} $ [As $ m_1=1 $ and $ m_2=2 $ ] $ =1-{{( \frac{1-2}{1+2} )}^{2}} $

$ =1-{{( \frac{1}{3} )}^{2}}=1-\frac{1}{9}=\frac{8}{9} $



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