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Predict/Calculate Two beams of light with different wavelengths $\left(\lambda_{\mathrm{A}}>\lambda_{\mathrm{B}}\right)$ are used to produce photoelectrons from a given metal surface. (a) Which beam produces photoelectronswith greater kinetic energy? Explain. (b) Find $K_{\max }$$\left(W_{0}=2.14 \mathrm{eV}\right)$ if $\lambda_{\mathrm{A}}=620 \mathrm{nm}$ and $\lambda_{\mathrm{B}}=410 \mathrm{nm}$ .

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Physics 103

Chapter 30

Quantum Physics

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University of Sheffield

University of Winnipeg

McMaster University

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Let's draw a metal surface. This is the metal surface. Two beams are striking This metal surface beam A uh let's say this is being a ah, this is being a on. And then this one is being beaten. This is a tendencies. Be Yeah, well went off is greater than that. Lint off B. Therefore, frequency off B is greater than frequency off, eh? Which means babe energy off B is greater than energy off, eh? In other words, energy in energy or for Tom's in B B is greater than energy off for Tom's in being It being big produces 40 electrons with crater kinetic energy beam be his higher frequency. Oh, therefore are it Egypt's electrons with greater kinetic energy? Uh, being be, uh, jet electrons? Electrons, uh, being be injects, electrons wait. Greater kinetic energy. Great. Uh, kinetic energy. No, let's hold part B. Well, we know that it's f equals. Okay, let's w and this can be written is etc divided by lender. Aye minus w equals okay and putting the values Pierre equals 3.2 three points to multiply by 10 to the power minus 19 minus work function Work function is equal to 2.14 Multiply by 10 to the power minus 19 Jules and therefore kinetic energy equals can to the problem minus 19 into 3.2, minus 2.14 And this gives us 1.61 point 06 Multiply by 10 to the power minus 19. Tentative power minus 19 0.6 to 5 electron walks. Therefore, we have 1.6 multiplied by 0.6 to 5 electron volts and this gives us Is it a point 66 electron books Also R h c. Divided by lender be equals, uh, sorry. Minus minus. W equals K exit divided by land. A B is 4.9. Multiply by 10 to the power minus 19 minus work function is to 0.14 multiplied by 10 to the power minus 19. Equal scare and solving. This week, it, uh equals two point seven six multiplied by 10 to the power minus 19. Jules and care equals 1.73 electron. Both so K equals one point

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