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Find the longest-wavelength photon that can eject an electron from potassium, given that the binding energy is 2.24 eV. Is this visible EM radiation?

555 $\mathrm{nm}$Yes, the wavelength is in the visible range as green light.

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Simon Fraser University

University of Sheffield

University of Winnipeg

Lectures

02:51

Quantum mechanics (QM) is …

10:58

In physics, the photoelect…

02:28

Find the wavelength of pho…

02:12

What is the longest wavele…

01:41

What is the longest-wavele…

02:04

Find the wavelength of rad…

01:29

01:43

What is the binding energy…

01:36

Calculate the binding ener…

02:55

The energy gap for silicon…

03:36

An X-ray photon of wavelen…

02:30

Find the wavelengths of a …

03:15

$\bullet$ Find the wavelen…

01:45

What is the wavelength of …

01:46

The minimum energy require…

01:14

Calculate the maximum wave…

01:52

Estimate the binding energ…

04:49

What is the wavelength for…

0:00

05:03

02:11

An electron has a de Brogl…

02:39

And this problem, one has to calculate the wavelength for a binding energy of 2.24 electron volts. And if this isn't the visible e m radiation spectrum, So to solve for my wavelength, I can first solve for my frequency. So my energy, divided by a planks constant will give me frequency because my energy was given an electron volts. I'm going to use planes constant in electron volts and this will give me a frequency of 5.4 times 10 to the 14th hurt. Now we're asked to sulfur it in wavelength. So I know that if this is light than V will be my speed of light, which we can approximate to be three times 10 to the eighth meters per second. So speed of light divided by frequency gives me wavelength. And I get a wavelength of five 0.54 times 10 to the negative seven meters or 554 nano meters, which is in the visible light spectrum.

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