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If mass of ...

Question

If mass of $U^{235} = 235.12142 a m u$ , mass of $U^{236} = 236.1205 a m u$ , and mass of neutron $1.008665 a m u$ , then the energy required to remove one neutron from the nucleus of $U^{236}$ is nearly about

A

75 M e V

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B

6.5 M e V

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C

1 e V

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D

zero

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Solution

The correct option is B $6.5 M e V$
The total mass of $U^{235}$ and a neutron is $M_{1} = 235.12142 - 1.008665 = 236.130 a m u$
Increases in mass when one neutron is removed from $U^{236} = M_{1} -$ mass of $U^{236}$
$= 236.130 - 236.1205 = 0.009 a m u = 0.009 \times 931 M e V = 8.9 M e V \sim 6.5 M e V$

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