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UV radiation having a 300-nm wavelength falls on uranium metal, ejecting 0.500-eV electrons. What is the binding energy of electrons to uranium metal?

3.64 $\mathrm{eV}$

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

University of Michigan - Ann Arbor

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

02:11

UV radiation having a wave…

01:03

What is the wavelength of …

00:58

Violet light of wavelength…

01:43

What is the binding energy…

01:15

What is the maximum kineti…

02:43

Ultraviolet light with a w…

01:36

Calculate the binding ener…

02:06

What neutron energy in ele…

02:02

What is the wavelength (in…

02:27

Electrons in a photoelectr…

03:19

A fluorescent solid absorb…

01:53

(II) When UV light of wave…

02:38

Light of wavelength 59 nm …

03:17

An X-ray photon of wavelen…

11:23

When ultraviolet light wit…

02:17

. When ultraviolet light w…

03:36

01:46

The minimum energy require…

03:56

A metal has a work functio…

So we're asked to calculate the binding energy, also known as the work function, which is the minimum amount of energy needed to eject electrons. And it tells us that we have a wavelength of 300 nano meters falling on our mettle, so that could be converted to 300 times 10 to the negative nine meters. And it says that the elections that are leaving the metal have an energy of 0.5 electron volts, which tells us how much energy in excess it has. So we can calculate this by moving over our work function and then getting our work's function bites off. This frequency can be replaced with the speed of light equals wavelength times frequency or the speed of light divided by wavelength gives this frequency and our speed of light here could be approximated to three times 10 to the eighth meters per second so we can plug in our values. H in this case is going to represent planks constant in electron volts. So that's 4.14 times 10 to the negative 15 electron volts second, so I can plug that in for H and for frequency. I'm putting the speed of light divided by my weight links. So this portion gives me 4.14 and my excess energy was 0.5. So then I have a work function or the minimum binding energy of 3.64 all of troubles.

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