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Question

In a fission reaction
23892U 117X+117Y+n+n
the binding energy per nucleon of X and Y is 8.5 MeV whereas that of 236U is 7.6 MeV. The total energy liberated will be about


A

200 keV

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B

2 Mev

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C

200 MeV

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D

2000 MeV

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Solution

The correct option is C

200 MeV


Binding energy of X = 8.5 × 117 = 994.5 MeV and of Y = 8.5 × 117 = 994.5 MeV. Total binding energy of X + Y = 1989 MeV. Now, binding energy of U - 236 = 7.6 × 236 = 1793.6 MeV. Energy liberay=ted = 1989 - 1793.6 = 195.4 MeV.
Hence the closest choice is (c)


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