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AP EAMCET · PHYSICS · Nuclear Physics

The energy released when one nucleus of \({ }_{92} \mathrm{U}^{235}\) undergoes fission is \(188 \mathrm{MeV}\). The energy released when \(100 \mathrm{~g}\) of \({ }_{92} \mathrm{U}^{235}\) undergoes fission is

  1. A \(3.55 \times 10^{12} \mathrm{~J}\)
  2. B \(7.71 \times 10^{12} \mathrm{~J}\)
  3. C \(3.55 \times 10^{13} \mathrm{~J}\)
  4. D \(7.71 \times 10^{13} \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(7.71 \times 10^{12} \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Given, energy released, \(E_0=188 \mathrm{MeV}\) per nucleus fission and mass, \(m=100 \mathrm{gm}\) As number of nucleus in \(100 \mathrm{gm}\) of \({ }_{92} \mathrm{U}^{235}\) \(N=\frac{100}{M} \times N_A\) where, \(N_A=\) Avogadro number and \(M=\) molecular mass…