3063_ProblemSet5 - PHY3063 Spring 2007 Problem Set 5 PHY...

PHY3063 Spring 2007 Problem Set 5
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PHY 3063 Problem Set #5
Due Thursday February 22 (in class)
(Total Points = 60, Late homework = 50%)
Reading: Finish reading Tipler & Llewellyn Chapter 3 and start reading Chapter 4.
Problem 1 (5 points): A metal has a work function of 3.0 electron volts. What is the maximum
kinetic energy ( in eV ) of a photoelectron emitted by the surface of the metal if light with a
wavelength of 500 nm falls on the surface?
Problem 2 (15 points):
θ = 90
o
Photon: E
1
, p
1
Photon: E
0
, p
0
Before
Electron at Rest
Electron: E
2
, p
2
After
Ψ
A photon with energy E
0
strikes an electron at rest in a Compton scattering and exits at an angle
θ = 90
o
relative to its incoming direction, where m
e
c
2
= 0.511 MeV .
Part A (5 points): If E
0
= 2m
e
c
2
, what is the energy of the outgoing photon ( in MeV )?
Part B (5 points): If E
0
= 2m
e
c
2
, what is the recoil kinetic energy of the electron ( in MeV )?
Part C (5 points): If E
0
= 2m
e
c
2
, what is the recoil angle Ψ of the electron ( in degrees )?