If average binding energy per nucleon of X and Y is 8.5 MeV whereas that of 92236U is 7.6 MeV. Then the total energy liberated in the following reaction is 92236U→117X+117Y+n+n
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a
200 keV
b
2 MeV
c
200 MeV
d
2000 MeV
answer is C.
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Detailed Solution
Average binding energy per nucleon of X and Y = 8.5 MeVBinding energy per nucleon of U = 7.6 MeVWhere binding energy →B.E.So total energy liberated=(B.E⋅ of X+B.E. of Y−B.E. of U=(117×8.5+117×8.5−236×7.6)=195.4≈200MeV