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When a slow neutron is captured by a ₉₂²³⁵ U nucleus, a fission energy releasing 200 MeV . If power of nuclear reactor is 100 ~W then rate of nuclear fission is

Options

  1. A3.6 10^6 ~s ⁻¹
  2. B3.1 10¹² ~s ⁻¹
  3. C1.8 10^4 ~s ⁻¹
  4. D4.1 10^6 ~s ⁻¹

Correct answer

B. 3.1 10¹² ~s ⁻¹

Step-by-step solution

Number of fission per second = total power energy/fission . Here, total power =100 ~W energy/fission =200 MeV =200 10^6 1.6 10⁻¹⁹ ~J =3.2 10⁻¹¹ ~J fission rate = 100 3.2 10⁻¹¹ =3.1 10¹² ~s ⁻¹

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