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JEE Advance - Physics (2008 - Paper 1 Offline - No. 8)

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.

IIT-JEE 2008 Paper 1 Offline Physics - Atoms and Nuclei Question 7 English

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 broken 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 fragments

Explanation

When binding energy per nucleon increases for a nuclear process, energy is released.

(a) For 1 < A < 50, on fusion, mass number of the resulting nucleus will be less than 100. No energy will be released.

(b) For 51 < A < 100, on fusion, mass number of the resulting nucleus will be between 100 and 200. As BE increases, energy will be released.

(c) On fission for 100 < A < 200, the mass number for fission nuclei will be between 50 and 100. As BE decreases, no energy will be released.

(d) On fission for 200 < A < 260, the mass number for the fission nuclei will be between 100 and 130. Since BE will increase, energy will be released.

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