The atomic mass of is 12.00000u and that of is 13.003354u. The required energy to remove a neutron from , if mass of neutron is 1.008665u, will be

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Solution

Q.
The atomic mass of ${}_{6}C^{12}$ is 12.00000u and that of ${}_{6}C^{13}$ is 13.003354u. The required energy to remove a neutron from ${}_{6}C^{13}$ , if mass of neutron is 1.008665u, will be [2024]

1 62.5 MeV

2 6.25 MeV

3 4.95 MeV

4 49.5 MeV

Ans.
(3)

   ${}_{6}C^{13} + Energy \to {}_{6}C^{12} + {}_{0}n^{1}$

$Δ m = 12 + 1.008665 - 13.003354$

$= - 0.00531 u$

   $∴ Energy required = 0.00531 \times 931.5 MeV$

   $= 4.95 MeV$

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