Assume that the nuclear binding energy per nucleon $(B / A)$ versus mass number $(A)$ is as shown in the…

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.
  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 $200 < A < 260$ will release energy when broken into two equal fragments

Solution

In fusion two or more lighter nuclei combine to make a comparatively heavier nucleus. In fission, a heavy nucleus breaks into two or more comparatively lighter nuclei. Futher, energy will be released in a nuclear process if total binding energy increases. $\therefore$ correct options are (b) and (d).

Asked in: JEE Advanced 2008 (Paper 1)

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