JEE Main 20249 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 9 April
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Nuclear Physics
JEE Main 2024 · 9 April · Evening Shift · Physics · Nuclear Physics
The energy released in the fusion of 2 ~kg of hydrogen deep in the...
The energy released in the fusion of of hydrogen deep in the sun is 2 \mathrm{~kg} of { }^{235} \mathrm{U}E_U\frac{E_H}{E_U}4 \mid H+2 \mathrm{e}^{-} \rightarrow{ }_2^4 \mathrm{He}+2 v+6 \gamma+26.7 \mathrm{MeV}{ }^{235} \mathrm{U}200 \mathrm{MeV}\mathrm{N}_{\mathrm{A}}= \left.6.023 \times 10^{23}\right)
Options
- A7.62
- B25.6
- C15.04
- D9.13
Correct answer
A. 7.62
Step-by-step solution
In each fusion reaction, nucleus are used.
Energy released per Nuclei of Energy released by hydrogen \left(\mathrm{E}_{\mathrm{H}}\right) =\frac{2000}{1} \times \mathrm{N}_{\mathrm{A}} \times \frac{26.7}{4} \mathrm{MeV} \qquad \qquad\quad \& \frac{E_H}{E_V}=235 \times \frac{26.7}{4 \times 200}=7.84\therefore$ Approximately close to 7.62