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(a) How many $350-\mathrm{nm}$ (UV) photons are needed to provide a total energy of 2.5 $\mathrm{J}$ (b) How many $750-\mathrm{nm}$ photons areneeded to provide the same energy?

a) $4.4 \times 10^{20}$ photonsb) $9.4 \times 10^{20}$ photons

Physics 103

Chapter 30

Quantum Physics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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relevant off ultraviolet photons, uh, equals bad lint off ultraviolet photons equals Ahh. 350 nanometers. Refund fit 350 centimeters and it's equal to 350. Multiply by 10 to the power minus nine meters since Nana is 10 to the power minus nine. Therefore we have lambda equals 3 50 Multiply by 10 to the power minus 19. Uh, mystery minus nine meters. Total energy don't oh energy. Total energy equals 2.5 tools to 0.5 jewels and energy off a single foot on his Cuban by B equals H f An Edge f equals HC, divided by Lambda Frequency equals C derided by lambda. Therefore, we have energy equals and see divided by lambda No, let's substitute values. Uh H is 6.63 Multiply by 10 to the power um minus 34 A multiply by multiplied by C, speed off light. It's equal to three multiply by 10 to the power it divided by divided by lander a rebel and equals 3 50 Multiply by 10 to the power minus line meters and solving Ah, this we had energy associated with ah single ultraviolet put on equals 5.7 5.7 multiplied by 10 to the power minus 19. Jules, this is Ah, the energy off. Single ultraviolet foot on now. Number off. Ultraviolet photons needed to provide 2.5 jewels. Uh, equals So number off number. Oh, ultraviolet for dawn for tones needed to provide, uh May did to provide needed to provide 2.5 tools to 0.5 jewels equals 2.5, divided by 5.7 5.7 multiplied by 10 to the power minus 19. And this abuses this gives us for point for multiply by Anthony Power 18 foot owns 18 What? Tom? So number of ultraviolet photons needed to provide 2.5 jewels? Uh, is 4.4 multiplied by 10 to the power 18 for Tom's. All right, and we have rebellin off red photons. Um, grab a lint off. Red photons revel in web lind off red photons. Red photons 750 millimeters 750 nano meters and in meters grab Lindy's 7 50 Multiply by 10 to the power minus line meters and energy off our energy off a single red foot on energy entity Oh, a single energy off a single Redfoot on Red Fort on equals. Mmm. Equals H c. Divided by, uh, we have lend off. Red foot on on DDE. This can't be regiones. Um, you know, let's substitute values, which is 6.63 multiplied by 10 to the power minus 34 and C is pre multiply by 10 to the power eat divided by wetland is 750 Multiply by 10 to the power minus mine meters on. Therefore, we have energy e equals 2.7 multiplied a tentative hour minus 19 years 2.7 Multiply by 10 to the power minus 19. Jules eyes, the energy dissociated with single red foot on now Number of red for Don's needed to produce 2.5 jewels equals number. Afraid for terms. Number off. Red photons number off. Red photons. Yeah, number off red four dawns. Uh, needed to produce nated, uh, to produce. Needed to produce. Um, 2.5 jewels. 2.5 jewels equals 2.5. Divided by 2.7. Multiplied by 10 to the power minus 19. Ah, 2.7. This is point, uh, 2.7 multiplied by 10 to the dollar minus 19 and this equals 9.3. Multiply by 9.3. Multiply by 10 to the power 19. Uh, sorry. Stand to the barber. 18 4 dawns 18 uh, four tones. So a number of French for Don's needed to produce 2.5 jewels is a 9.3 multiplied identity power 18 uh for Don's.

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