COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 78QAP
To determine

The missing values in the table for n =1, 2, 3, 4 and 5.

Expert Solution & Answer
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Answer to Problem 78QAP

The final table is,

    nLnrnKnEnvn

      Ln=nh2π
      Kgmeter2s-1

      rn=n2h24π2mke2 meter

      Kn=mk2e42n22 Joule

      En=mk2e42n22 Joule

      vn=2πke2nh
      meters-1
    n= 1
      1.06×1034

      0.536×1010

      21.44×1019

      21.44×1019

      21.47×105
    n= 2
      2.12×1034

      2.144× 10 10

      5.36×1019

      5.36×1019

      10.73×105
    n= 3
      3.18×1034

      4.824×1010

      2.38×1019

      2.38×1019

      7.16×105
    n= 4
      4.24×1034

      8.576×1010

      1.34×1019

      1.34×1019

      5.36×105
    n= 5
      5.3×1034

      13.4×1010

      0.85×1019

      0.85×1019

      4.29×105

Explanation of Solution

Given info:

The given table is,

    nLnrnKnEnvn
    n= 1
    n= 2
    n= 3
    n= 4
    n= 5

Formula used:

The expressions for angular momentum, speed, orbital radius, kinetic energy and total energy are:

  Ln=nh2πrn=n2h24π2mke2Kn=mk2e42n22En=mk2e42n22vn=2πke2nh

Calculation:

All values are given in SI unit. The values of different constants as considered for calculation are
  k=8.99×109 Nm2Coulomb-2m=9.11×1031 kgh=1.055×10-34 Joule-sece=1.6×10-19 Coulomb

    nLnrnKnEnvn

      Ln=nh2π
      Kgmeter2s-1

      rn=n2h24π2mke2 meter

      Kn=mk2e42n22 Joule

      En=mk2e42n22 Joule

      vn=2πke2nh
      meters-1
    n= 1
      1.06×1034

      0.536×1010

      21.44×1019

      21.44×1019

      21.47×105
    n= 2
      2.12×1034

      2.144× 10 10

      5.36×1019

      5.36×1019

      10.73×105
    n= 3
      3.18×1034

      4.824×1010

      2.38×1019

      2.38×1019

      7.16×105
    n= 4
      4.24×1034

      8.576×1010

      1.34×1019

      1.34×1019

      5.36×105
    n= 5
      5.3×1034

      13.4×1010

      0.85×1019

      0.85×1019

      4.29×105

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Chapter 26 Solutions

COLLEGE PHYSICS

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