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 choice(s) given below. [2008]

Question

Smart Achievers · Accepted Answer

(2, 4)

In fusion two or more lighter nuclei combine to form a comparatively heavier nucleus. When binding energy per nucleon increases for a nuclear process, energy is released. In fission, a heavy nucleus breaks into two or more lighter nuclei.

(1) For 1 < A < 50, on fusion mass number of the resulting nucleus will be less than 100.

(2) For 51 < A < 100, on fusion mass number the resulting nucleus is between 100 and 200. B/A increases, energy will be released.

(3) On fission for 100 < A < 200, the mass number for fission nuclei will be between 50 to 100. B/A decreases, no energy will be released.

(4) On fission for 200 < A < 260, the mass number for fission nuclei will be between 100 to 130. B/A will increase, energy will be released.

Solution

Q.
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 choice(s) given below. [2008]

1 Fusion of two nuclei with mass numbers lying in the range of 1 < A < 50 will release energy.

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

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

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

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