100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
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 $16.49   Add to cart

Exam (elaborations)

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

 0 view  0 purchase
  • Course
  • Modern Physics with Modern Computational Methods
  • Institution
  • Modern Physics With Modern Computational Methods

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...

[Show more]

Preview 4 out of 136  pages

  • September 29, 2024
  • 136
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • 9780128177914
  • john morrison
  • solution
book image

Book Title:

Author(s):

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

,Table of contents
F F




1.FTheFWave-ParticleFDuality

2.FTheFSchrödingerFWaveFEquation

3.FOperatorsFandFWaves

4.FTheFHydrogenFAtom

5.FMany-ElectronFAtoms

6.FTheFEmergenceFofFMasersFandFLasers

7.FDiatomicFMolecules

8.FStatisticalFPhysics

9.FElectronicFStructureFofFSolids

10.FChargeFCarriersFinFSemiconductors

11.FSemiconductorFLasers

12.FTheFSpecialFTheoryFofFRelativity

13.FTheFRelativisticFWaveFEquationsFandFGeneralFRelativity

14.FParticleFPhysics

15.FNuclearFPhysics

,1

TheF Wave-ParticleF DualityF -F Solutions




1. TheFenergyFofFphotonsFinFtermsFofFtheFwavelengthFofFlightFi
sFgivenFbyFEq.F(1.5).FFollowingFExampleF 1.1FandFsubstitutingF
λF=F200FeVFgives:
hc 1240F eVF ·Fnm
= =F6.2FeV
EphotonF= λ 200Fnm
2. TheF energyF ofF theF beamF eachF secondF is:
power 100F W
= =F100FJ
EtotalF= time 1F s
TheFnumberFofFphotonsFcomesFfromFtheFtotalFenergyFdividedFb
yFtheFenergyFofFeachFphotonF(seeFProblemF1).FTheFphoton’sFene
rgyFmustFbeFconvertedFtoFJoulesFusingFtheFconstantF1.602F×F10
−19FJ/eVF,FseeFExampleF1.5.FTheFresultFis:

FE total F
N = = 100FJ =F1.01F×F1020
photons E
pho
ton 9.93F×F10−19
forF theF numberF ofF photonsF strikingF theF surfaceF eachF second.
3.WeFareFgivenFtheFpowerFofFtheFlaserFinFmilliwatts,FwhereF1Fm
WF=F10−3FWF.FTheFpowerFmayFbeFexpressedFas:F1FWF=F1FJ/s.F
FollowingFExampleF1.1,FtheFenergyFofFaFsingleFphotonFis:
1240F eVF ·Fnm
hcF =F1.960FeV
EphotonF = 632.8F nm
=
λF
F


WeF nowF convertF toF SIF unitsF (seeF ExampleF 1.5):
1.960FeVF×F1.602F×F10−19FJ/eVF =F3.14F×F10−19FJ
FollowingFtheFsameFprocedureFasFProblemF2:
1F×F10−3FJ/s 15F photons
RateFofF emissionF=F = F3.19F×F10
3.14F×F10−19F J/photonF s

, 2

4. TheFmaximumFkineticFenergyFofFphotoelectronsFisFfoundFusi
ngFEq.F(1.6)FandFtheFworkFfunctions,FW,FofFtheFmetalsFareFgive
nFinFTableF1.1.FFollowingFProblemF 1,F EphotonF=Fhc/λF=F6.20F eVF
.F ForF partF (a),F NaF hasF WF =F2.28F eVF:
(KE)maxF=F6.20FeVF−F2.28FeVF =F3.92FeV
Similarly,FforFAlFmetalFinFpartF(b),FWF =F4.08FeVF givingF(KE)maxF=F2.12Fe
V
andFforFAgFmetalFinFpartF(c),FWF=F4.73FeVF,FgivingF(KE)maxF=F1.47FeVF.

5.ThisFproblemFagainFconcernsFtheFphotoelectricFeffect.FAsFinFPr
oblemF4,FweFuseFEq.F(1.6):
hcF−F
(KE)maxF =
WFλ
whereF WF isF theF workF functionF ofF theF materialF andF theF termF hc/λ
F describesFtheFenergyFofFthe FincomingFphotons.FSolvingFforFtheFlatt

er:
hc
=F(KE)maxF+FWF =F2.3F eVF +F0.9F eVF =F3.2F eV
λF
SolvingF Eq.F (1.5)F forF theF wavelength:
1240F eVF ·Fnm
λF= =F387.5Fnm
3.2F e
V
6. AFpotentialFenergyFofF0.72FeVFisFneededFtoFstopFtheFflowFofFelectro
ns.FHence,F(KE)maxFofFtheFphotoelectronsFcanFbeFnoFmoreFthanF0.
72FeV.FSolvingFEq.F(1.6)FforFtheFworkFfunction:
hc 1240F eVF ·Fn —F0.72F eVF =F1.98F eV
WF =F —
λ m
(KE)maxF
=
460Fnm
7. ReversingF theF procedureF fromF ProblemF 6,F weF startF withF Eq.F (1.6):
hcF 1240F eVF ·Fn
(KE)maxF = −FWF —F1.98F eVF =F3.19F eV
= m
λ
240Fnm
Hence,FaFstoppingFpotentialFofF3.19FeVFprohibitsFtheFelectronsFfro
mFreachingFtheFanode.

8. JustF atF threshold,F theF kineticF energyF ofF theF electronF isF z
ero.F SettingF(KE)maxF=F0F inF Eq.F (1.6),
hc
WF= = 1240F eVF ·Fn =F3.44F eV
λ0 m

360Fnm

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Labsolution. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $16.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75619 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$16.49
  • (0)
  Add to cart