Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do...
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![Page 1: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/1.jpg)
Aim: How can we apply mathematics to the photoelectric effect?
In the photoelectric effect, how do you increase:
The number of ejected electrons?
The KE of the ejected electrons? Increase intensity of the wave
Increase frequency of the wave
![Page 2: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/2.jpg)
• http://www.stmary.ws/highschool/physics/home/animations3/modernPhysics/photoelectricEffect.html
![Page 3: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/3.jpg)
Wave-Particle Duality
• According to Einstein, light has particle characteristics
• Light travels as a photon
Photon – A “bundle” or “packet” of energy
Has zero rest mass but has momentum and energy
Albert Einstein1879 – 1955
![Page 4: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/4.jpg)
Momentum
• Previously learnedp = mv
• You need mass to have momentum
• Photons have no mass but have momentum
• Contradicts classical physics!
![Page 5: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/5.jpg)
The Planck Hypothesis
• In 1900, Max Planck proposed that energy could exist only in discrete quanta which were proportional to the frequency.
Max Planck1858 - 1947
![Page 6: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/6.jpg)
=
Ephoton = energy of a photon
measured in J or eV
![Page 7: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/7.jpg)
frequency
max KE of ejected
electrons
fo
Slope = h
![Page 8: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/8.jpg)
Also….
![Page 9: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/9.jpg)
How much energy does a photon of yellow light have?
Ephoton = hf
Ephoton = (6.63 x 10-34 J·s)(5.20 x 1014 Hz)
Ephoton = 3.45 x 10-19 J
How many electrons will be ejected if the threshold frequency is 6.20 x 1014 Hz?
None – If the frequency is below the threshold frequency, no electrons get ejected
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Minimum Energy
• The minimum frequency gives the minimum energy
• Minimum frequency = threshold frequency (fo)
• Minimum energy = work function (Wo)
Can you figure out the formula for work function?
Wo = hfo
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What is the work function of zinc if the threshold frequency is 9.6 x 1014 Hz?
Wo = hfo
Wo = (6.63 x 10-34 J·s)(9.6 x 1014 Hz)
Wo = 6.4 x 10-19 J
![Page 12: Aim: How can we apply mathematics to the photoelectric effect? In the photoelectric effect, how do you increase: The number of ejected electrons? The KE.](https://reader035.fdocuments.us/reader035/viewer/2022062321/56649da65503460f94a9132b/html5/thumbnails/12.jpg)
KE Model for the Ejected Photoelectrons
e- e- e- e- e- e-
Photon
Photoelectrons
Ephoton = hf
Wo = hfo
KEmax
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Formula
KEmax = Ephoton – Wo
KEmax = hf – hfo
KEmax = h(f – fo)
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Light with a frequency of 4.5 x 1015 Hz strikes zinc whose work function is 6.4 x 10-19 J. What is the maximum kinetic energy of the ejected electrons?
KEmax = hf – Wo
KEmax = (6.63 x 10-34 J·s)(4.5 x 1015 Hz) – 6.4 x 10-19 J
KEmax = 3.0 x 10-18 – 6.4 x 10-19
KEmax = 2.34 x 10-18 J
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The work function of chromium is 4.6 eV. If a photon with 5.0 eV of energy strikes chromium, what is the maximum kinetic energy of the ejected electrons?
KEmax = Ephoton – Wo
KEmax = 5.0 eV – 4.6 eV
KEmax = 0.4 eV
Convert this to Joules.