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Binding Energy

The binding e...

Question

The binding energy per each nucleon in the neighborhood of medium nuclei is $8.5 M e V$ and the binding energy per each nucleon is about $7.6 M e V$ in the neighborhood of Uranium. The energy released in the fission of $U^{236}$ is roughly

A

212 e V

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B

212 M e V

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C

2.12 M e V

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D

0.9 M e V

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Solution

The correct option is D $212 M e V$
In the fission reaction, Uranium breaks into two medium nucie.
Mass no. is conserved, hence the no.of nucleons remain const. on the product and reactant side

Energy released $=$ Change in Nuclear binding energy

Energy released $= 236 (8.5 - 7.6) = 212.4 M e V$

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