QJEEAdv08Ph1ef2: JEE Advanced 2008 Physics - Class 12 JEEAdv08Ph1ef2 Solution: Assume that the nuclear binding energy per nucleon (B/A) versus …
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.
Multiple Choice Options
- A Fusion of two nuclei with mass number lying in the range of 1 < A < 50 will release energy
- B Fusion of two nuclei with mass numbers lying in the range of 51 < A < 100 will release energy
- C Fission of a nucleus lying in the mass range of 100 < A < 200 will release energy when broken into two equal fragments
- D Fission of a nucleus lying in the mass range of 200 < A < 260 will release energy when broken into two equal fragments
Step-by-Step Verified Solution
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.