SATHEE: Atoms And Nuclei Question 285

Atoms And Nuclei Question 285

Question: A neutron travelling with a velocity v and kinetic energy E has a perfectly elastic head-on collision with a nucleus of an atom of mass number A at rest. The fraction of total energy retained by the neutron is approximately

Options:

A) ${[(A - 1) (A + 1)]}^{2}$

B) ${[(A + 1) (A - 1)]}^{2}$

C) ${[(A - 1) / A]}^{2}$

D) ${[(A + 1) / A]}^{2}$

Show Answer

Answer:

Correct Answer: A

Solution:

$v_{1}^{'} = \frac{(m_{1} - m_{2}) v_{1} + 2 m_{2} v_{2}}{m_{1} + m_{2}}$

As $v_{2}$ is zero, $m_{2} > m_{1}, v_{1}^{'}$ is in the opposite direction. $m_{1} = 1, m_{2} = A .$
$∴ | v_{1}^{'} | = \frac{(A - 1)}{(A + 1)} v_{1}$

The fraction of total energy retained is $Double exponent: use braces to clarify$

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Atoms And Nuclei Question 285

Question: A neutron travelling with a velocity v and kinetic energy E has a perfectly elastic head-on collision with a nucleus of an atom of mass number A at rest. The fraction of total energy retained by the neutron is approximately

Options:

Answer:

Solution:

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