Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

If the energy released in the fission of one nucleus is 200 MeV. Then the number of nuclei required per second in a power plant of 16 kW will be

Options:

$0.5 × 10^{14}$

$0.5 × 10^{12}$

$5 × 10^{12}$

$5 × 10^{14}$

Correct Answer:

$5 × 10^{14}$

Explanation:

Energy released in the fission of one nucleus = 200 MeV

$=200 \times 10^6 \times 1.6 \times 10^{-19} \mathrm{~J}=3.2 \times 10^{-11}$ J

P = 16 KW = 16 $\times 10^3$ Watt

Now, number of nuclei required per second

$n=\frac{P}{E}=\frac{16 \times 10^3}{3.2 \times 10^{-11}}=5 \times 10^{14}$.