Statement A : A neutron travelling with a velocity collides head on an atom of atomic mass number A at rest. The fraction of the total energy retained by neutron is $(\frac{A - 1}{A + 1})^{2}$
Statement B : The kinetic energy conserves during an elastic collision

A and B are true

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A is true but B is false

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A is false but B is true

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A and B are false

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Solution

The correct option is A A and B are true
fraction retained $= \frac{(m_{1} - m_{2})^{2}}{(m_{1} + m_{2})^{2}} = {(\frac{A - 1}{A + 1})}^{2}$

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Statement A : A neutron travelling with a velocity collides head on an atom of atomic mass number A at rest. The fraction of the total energy retained by neutron is (A−1A+1)2Statement B : The kinetic energy conserves during an elastic collision

The correct option is A A and B are truefraction retained =(m1−m2)2(m1+m2)2=(A−1A+1)2

Statement A : A neutron travelling with a velocity collides head on an atom of atomic mass number A at rest. The fraction of the total energy retained by neutron is $(\frac{A - 1}{A + 1})^{2}$
Statement B : The kinetic energy conserves during an elastic collision

The correct option is A A and B are true
fraction retained $= \frac{(m_{1} - m_{2})^{2}}{(m_{1} + m_{2})^{2}} = {(\frac{A - 1}{A + 1})}^{2}$