Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

At what rate must ${}^{235}U$ 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. $3.12 \times 10^{10} s^{- 1}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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.

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

$R = \frac{1 W}{200 MeV} R = \frac{1 W}{200 \times 10^{6} eV} R = \frac{1 W}{200 \times 10^{6} \times 1.6 \times 10^{19} J} R = \frac{1}{3.2 \times 10^{11}}$

Solve further as,

$R = \frac{10^{11}}{3.2} R = \frac{10 \times 10^{10}}{3.2} R = 3.12 \times 10^{10} s^{- 1}$

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

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Fundamentals Of Physics

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Short Answer

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

Step by Step Solution

Step 1: Given data

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

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

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Fundamentals Of Physics

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Short Answer

At what rate must U235 nuclei undergo fission by neutron bombardment to generate energy at the rate of 1.00 W? Assume that Q=200 MeV.

Step by Step Solution

Step 1: Given data

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

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

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