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Found in: Page 1331

### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# At what rate must ${}^{{\mathbf{235}}}{\mathbf{U}}$ nuclei undergo fission by neutron bombardment to generate energy at the rate of 1.00 W? Assume that Q=200 MeV.

The rate at which nuclei undergo fission by neutron bombardment. $3.12×{10}^{10}{\mathrm{s}}^{-1}$.

See the step by step solution

## Step 1: Given data

The generated energy, P =1 W

The released energy, Q =200 MeV

## Step 2: Determine the formulas to calculate the rate at which nuclei undergo fission by neutron bombardment.

The expression to calculate the fission ratio is given as follows.

${\mathbf{R}}{\mathbf{=}}\frac{\mathbf{P}}{\mathbf{Q}}$ ...(i)

## Step 3: Calculate the rate at which nuclei undergo fission by neutron bombardment.

Calculate the fission ratio.

Substitute 1W for P and 200 MeV for into equation (i).

$R=\frac{1\mathrm{W}}{200\mathrm{MeV}}\phantom{\rule{0ex}{0ex}}R=\frac{1\mathrm{W}}{200×{10}^{6}\mathrm{eV}}\phantom{\rule{0ex}{0ex}}R=\frac{1\mathrm{W}}{200×{10}^{6}×1.6×{10}^{19}\mathrm{J}}\phantom{\rule{0ex}{0ex}}R=\frac{1}{3.2×{10}^{11}}$

Solve further as,

$R=\frac{{10}^{11}}{3.2}\phantom{\rule{0ex}{0ex}}R=\frac{10×{10}^{10}}{3.2}\phantom{\rule{0ex}{0ex}}R=3.12×{10}^{10}{s}^{-1}$

Hence the rate at which nuclei undergo fission by neutron bombardment $3.12×{10}^{10}{\mathrm{s}}^{-1}$.