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AP EAMCET · PHYSICS · Nuclear Physics

Each nuclear fission of \({ }^{235} \mathrm{U}\) releases 200 MeV of energy. If a reactor generates 1 MW power, then the rate of fission in the reactor is

  1. A \(3.125 \times 10^6\)
  2. B \(3.125 \times 10^8\)
  3. C \(3.125 \times 10^{10}\)
  4. D \(3.125 \times 10^{16}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3.125 \times 10^{16}\)

Step-by-step Solution

Detailed explanation

\(N = \frac{P}{E}\) \(N = \frac{1 \times 10^6 \text{ W}}{200 \times 10^6 \text{ eV} \times 1.6 \times 10^{-19} \text{ J/eV}}\) \(N = \frac{1 \times 10^6}{3.2 \times 10^{-11}}\) \(N = 3.125 \times 10^{16}\) fissions/s