Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct (s) given below:

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Fusion of two nuclei with mass numbers lying in the range of $25 < A < 50$ will release energy

Fusion of two nuclei with mass numbers lying in the range of $51 < A < 100$ will release energy

Fission of a nucleus lying in the mass range of $100 < A < 200$ will release energy when broken into equal fragments

Fission of a nucleus lying in the mass range of $200 < A < 260$ will release energy when broken into two equal fragments

answer is A, D.

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Detailed Solution

Energy is released when binding energy per nucleon increase in fusion of two nuclei of lower masses in range from 25 to 50 hence option (A) is correct. Mass numbers in range 51 to 100 are more stable as these have higher binding energy per nucleon. 100 to 200 have binding energy per nucleon greater than those in range from 200 to 260 so those are more stable hence option (D) is correct.

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