Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Verify the numerical factor 0.121 in Eq. 41-9.

The numerical factor ${(\frac{3}{16 \sqrt{2 π}})}^{2 / 3}$ is equal to the numerical factor 0.121.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

The equation of Fermi energy according to Eq. 41-9 is

$E_{F} = {[\frac{3}{16 \sqrt{2 π}}]}^{2 / 3} \frac{h^{2}}{m} n^{2 / 3}$ .

where, n is the number of conduction electrons per unit volume, m is the mass of an electron and h is the Planck’s constant.

Step 2: Understanding the concept of Fermi energy

The highest level to be occupied by the electron in the valence band at 0 K is known as Fermi level.

Step 3: Calculation of verifying the numerical factor 0.121

From the given Fermi energy equation, the numerical constant value is given by,

$c = {(\frac{3}{16 \sqrt{2 π}})}^{2 / 3} = {(4.22 \times 10^{- 2})}^{2 / 3} = 0.121$

Hence, the numerical factor 0.121 is verified.

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Fundamentals Of Physics

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Short Answer

Verify the numerical factor 0.121 in Eq. 41-9.

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of Fermi energy

Step 3: Calculation of verifying the numerical factor 0.121

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Fundamentals Of Physics

Answers without the blur.

Short Answer

Verify the numerical factor 0.121 in Eq. 41-9.

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of Fermi energy

Step 3: Calculation of verifying the numerical factor 0.121

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