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Solution Manual for Modern Physics with Modern Computational Methods: for Scientists and Engineers 3rd Edition by John Morrison, ISBN: 9780128177907, All 15 Chapters Covered, Verified Latest

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Modern Physics with Modern Computational Method

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Modern Physics With Modern Computational Method

Solution Manual for Modern Physics with Modern Computational Methods: for Scientists and Engineers 3rd Edition by John Morrison, ISBN: 9780128177907, All 15 Chapters Covered, Verified Latest Edition Solution Manual for Modern Physics with Modern Computational Methods: for Scientists and Engineers 3...

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computational
modern physics with modern computational method
solution manual for modern physics with modern com
modern physics with modern computational methods
3rd edition by john morrison

Institution Modern Physics with Modern Computational Method
Course Modern Physics with Modern Computational Method

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SOLUTION MANUAL Modern Physics with Modern
Computational Methods: for Scientists and
Engineers 3rd Edition by Morrison Chapters 1- 15

,Table of contents
Z Z

1.ZTheZWave-ParticleZDuality

2.ZTheZSchrödingerZWaveZEquation

3.ZOperatorsZandZWaves

4.ZTheZHydrogenZAtom

5.ZMany-ElectronZAtoms

6.ZTheZEmergenceZofZMasersZandZLasers

7.ZDiatomicZMolecules

8.ZStatisticalZPhysics

9.ZElectronicZStructureZofZSolids

10.ZChargeZCarriersZinZSemiconductors

11.ZSemiconductorZLasers

12.ZTheZSpecialZTheoryZofZRelativity

13.ZTheZRelativisticZWaveZEquationsZandZGeneralZRelativity

14.ZParticleZPhysics

15.ZNuclearZPhysics

,1

TheZ Wave-ParticleZ DualityZ -Z Solutions

1. TheZenergyZofZphotonsZinZtermsZofZtheZwavelengthZofZlight
ZisZgivenZbyZEq.Z(1.5).ZFollowingZExampleZ 1.1ZandZsubstituti
ngZλZ=Z200ZeVZgives:
hc 1240Z eVZ ·Znm
= =Z6.2ZeV
EphotonZ= λ 200Znm
2. TheZ energyZ ofZ theZ beamZ eachZ secondZ is:
power 100Z W
= =Z100ZJ
EtotalZ= time 1Z s
TheZnumberZofZphotonsZcomesZfromZtheZtotalZenergyZdividedZ
byZtheZenergyZofZeachZphotonZ(seeZProblemZ1).ZTheZphoton’sZ
energyZmustZbeZconvertedZtoZJoulesZusingZtheZconstantZ1.602
Z×Z10−19ZJ/eVZ,ZseeZExampleZ1.5.ZTheZresultZis:

ZEtotalZ
N = = 100ZJ =Z1.01Z×Z1020
photons E
pho
ton 9.93Z×Z10−19
forZ theZ numberZ ofZ photonsZ strikingZ theZ surfaceZ eachZ second.
3.WeZareZgivenZtheZpowerZofZtheZlaserZinZmilliwatts,ZwhereZ1Z
mWZ=Z10−3ZWZ.ZTheZpowerZmayZbeZexpressedZas:Z1ZWZ=Z1ZJ
/s.ZFollowingZExampleZ1.1,ZtheZenergyZofZaZsingleZphotonZis
:
1240Z eVZ ·Znm
hcZ =Z1.960ZeV
EphotonZ = 632.8Z nm
Z =
λZ
WeZ nowZ convertZ toZ SIZ unitsZ (seeZ ExampleZ 1.5):
1.960ZeVZ×Z1.602Z×Z10−19ZJ/eVZ =Z3.14Z×Z10−19ZJ
FollowingZ theZsameZ procedureZ asZProblemZ 2:
1Z×Z10−3ZJ/s 15Z photons
RateZofZ emissionZ=Z = Z3.19Z×Z10
3.14Z×Z10−19Z J/photonZ s

, 2

4. TheZmaximumZkineticZenergyZofZphotoelectronsZisZfoundZu
singZEq.Z(1.6)ZandZtheZworkZfunctions,ZW,ZofZtheZmetalsZareZ
givenZinZTableZ1.1.ZFollowingZProblemZ 1,Z EphotonZ=Zhc/λZ=Z6.
20Z eVZ.Z ForZ partZ (a),Z NaZ hasZ WZ =Z2.28Z eVZ:
(KE)maxZ=Z6.20ZeVZ−Z2.28ZeVZ =Z3.92ZeV
Similarly,Z forZ AlZ metalZ inZ partZ (b),Z WZ =Z4.08Z eVZ givingZ(KE)maxZ=Z2.12
Z eV

andZforZAgZmetalZinZpartZ(c),ZWZ =Z4.73ZeVZ,ZgivingZ(KE)maxZ=Z1.47ZeVZ.

5.ThisZproblemZagainZconcernsZtheZphotoelectricZeffect.ZAsZinZP
roblemZ4,ZweZuseZEq.Z(1.6):
hcZ−Z
(KE)maxZ =
WZλ
whereZ WZ isZ theZ workZ functionZ ofZ theZ materialZ andZ theZ termZ hc/
λZ describesZtheZenergyZofZtheZincomingZphotons.ZSolvingZforZtheZl
atter:
hc
=Z(KE)maxZ+ZWZ =Z2.3ZeVZ +Z0.9Z eVZ =Z3.2Z eV
λZ
SolvingZ Eq.Z (1.5)Z forZ theZ wavelength:
1240Z eVZ ·Znm
λZ= =Z387.5Znm
3.2Z e
V
6. AZpotentialZenergyZofZ0.72ZeVZisZneededZtoZstopZtheZflowZofZelect
rons.ZHence,Z(KE)maxZofZtheZphotoelectronsZcanZbeZnoZmoreZtha
nZ0.72ZeV.ZSolvingZEq.Z(1.6)ZforZtheZworkZfunction:
hc 1240Z eVZ ·Z —Z0.72Z eVZ =Z1.98Z eV
W Z =Z —
λ nm
(KE)max
Z =
460Znm
7. ReversingZ theZ procedureZ fromZ ProblemZ 6,Z weZ startZ withZ Eq.Z (1.6):
hcZ 1240Z eVZ ·Z
(KE)maxZ = −ZWZ —Z1.98Z eVZ =Z3.19Z eV
= nm
λ
240Znm
Hence,ZaZstoppingZpotentialZofZ3.19ZeVZprohibitsZtheZelectronsZfr
omZreachingZtheZanode.

8. JustZ atZ threshold,Z theZ kineticZ energyZ ofZ theZ electronZ isZ
zero.Z SettingZ(KE)maxZ=Z0Z inZ Eq.Z (1.6),
hc
WZ= = 1240Z eVZ ·Z =Z3.44Z eV
λ0 nm

360Znm

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Solution Manual for Modern Physics with Modern Computational Methods: for Scientists and Engineers 3rd Edition by John Morrison, ISBN: 9780128177907, All 15 Chapters Covered, Verified Latest

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