Chapter 29, Problem 14PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# What is the maximum velocity of electrons ejected from a material by 80-nm photons, if they are bound to the material by 4.73 eV?

To determine

The maximum velocity of electrons ejected from material.

Explanation

Given:

Wavelength of radiation =Î»=80Â nmÂ =Â 80Ã—10âˆ’9Â m

Mass of electron =m=9.1Ã—10âˆ’31Â kg

Maximum velocity of ejected electron =vmax

Binding Energy of electrons =Wo=4.73Â eV

Plank's constant =h=4.14Ã—10âˆ’15Â eVÂ s

Kinetic energy of the electrons =KEmax

Formula Used:

Energy of radiation is given as

â€ƒâ€ƒE=hcÎ»

Kinetic energy of the ejected electron is given as

â€ƒâ€ƒKEmax=Eâˆ’Wo

Kinetic energy is given as

â€ƒâ€ƒKEmax=(0.5)mv2max

Calculation:

Energy of radiation is given as

â€ƒâ€ƒE=hcÎ»

Inserting the values

â€ƒâ€ƒE=(4.14Ã—10âˆ’15Â )(3Ã—108)(80Ã—10âˆ’9)E=15

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