Q 12-13-044JEE MainJEE Main 2024 (4 Apr, Shift 2)Medium
The disintegration energy $Q$ for the nuclear fission of ${}^{235}\text{U} \rightarrow {}^{140}\text{Ce} + {}^{94}\text{Zr} + n$ is ______ MeV. Given atomic masses of ${}^{235}\text{U}: 235.0439\,u$; ${}^{140}\text{Ce}: 139.9054\,u$; ${}^{94}\text{Zr}: 93.9063\,u$; $n: 1.0086\,u$. Value of $c^2 = 931\ \text{MeV/u}$.
Numerical value type. Enter your answer.
Answer: 208
$$\Delta m = 235.0439 - (139.9054 + 93.9063 + 1.0086) = 235.0439 - 234.8203 = 0.2236\ u$$
$$Q = 0.2236\times931 \approx 208\ \text{MeV}$$
Solution by Sreeraj P, M.Sc Physics