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Q.

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
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