Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Consider a nucleus of A=110. Fission of this nucleus results into 2 fragmentations.
Which of the following could be possibly be the mass number of the resulting nuclei to release energy in fission?

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55 and 55

60 and 50

100 and 10

90 and 20

answer is A, B.

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Detailed Solution

To release energy in a nuclear process, total binding energy per nucleon should increase.

Total initial binding energy =6 $\times 110 M e v = 660 M e v$

$I n (1), t o t a l f i n a l b i n d i n g e n e r g y = 2 (55 \times 7.5) M e v = 825 M e v I n (2), t o t a l f i n a l b i n d i n g e n e r g y = (60 \times 7 + 50 \times 8) M e v = 820 M e v$

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