Assume that the nuclear binding energy per nucleon $(E_{b n})$ versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below:

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Fusion of two nuclei with mass number lying in the range of 1 < 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 breaks into two equal fragments.

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

answer is B, D.

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Detailed Solution

If two nuclei in the range 51 < A < 100 will fuse then they will produce an element with mass number above 100 and less then 200 which has more $E_{b n}$ thus energy is released hence option (B) is correct. Similarly a nucleus in the range 200 < A < 260 when broken into two equal fragments then the $E_{b n}$ of these fragments will be more than that of the nucleus hence option (D) is correct.

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