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CUET · PHYSICS · PYQ PAPER 2025

If 200 MeV energy is released in the fission of a single nucleus of uranium-235, how many fissions per second will produce a power of 32 kW?

  1. A \( 10^{13} \)
  2. B \( 10^{15} \)
  3. C \( 10^{19} \)
  4. D \( 10^{21} \)
Verified Solution

Answer & Solution

Correct Answer

(B) \( 10^{15} \)

Step-by-step Solution

Detailed explanation

\( E = 200 \text{ MeV} = 200 \times 1.6 \times 10^{-13} \text{ J} = 3.2 \times 10^{-11} \text{ J} \) \( P = 32 \text{ kW} = 32 \times 10^3 \text{ W} \) \( N = \frac{P}{E} = \frac{32 \times 10^3}{3.2 \times 10^{-11}} = 10 \times 10^{14} = 10^{15} \)