Chapter 4
The Particle Nature of Matter. Home
Work Solutions
4.1
Problem 4.10 (In the text book)
A typical Rutherford scattering apparatus consists of an evacuated tube containing a polonium210 source (5.2-M eV s), collimators, a gold foil target, and a s
Chapter 2
Relativity II. Home Work Solutions
2.1
Problem 2.4 (In the text book)
A charged particle moves along a straight line in a uniform electric eld E with a speed v.
If the motion and the electric eld are both in the x direction,
(a) show that the ma
Chapter 3
Quantum Theory of Light. Home
Work Solutions
3.1
Problem 3.5 (In the text book)
Consider the problem of the distribution of blackbody radiation described in Figure 3.3.
Note that as T increases, the wavelength max at which u(, T ) reaches a maxi
Chapter 6
Quantum Mechanics in One
Dimension. Home Work Solutions
6.1
Problem 6.9 (In the text book)
The nuclear potential that binds protons and neutrons in the nucleus of an atom is often
approximated by a square well. Imagine a proton conned in an inni
Physics 205, Mid Term Examination Solutions.
1
1. Show that the momentum of a particle having a charge e moving in a circle of radius
R in a magnetic eld B is given by
p = 300BR
where p is in M eV /c, B is in teslas, and R is in meters.
Solution
A particl
Physics 205, Modern Physics I: Final Examination Solution.
1
1. Consider a particle in the ground state of a box of length a.
(a) Find the probability density |2 .
(b) Where is the particle most likely to be found?
(c) What is the probability of nding the
Chapter 5
Matter Waves. Home Work Solutions
5.1
Problem 5.10 (In the text book)
An electron has a de Broglie wavelength equal to the diameter of the hydrogen atom. What
is the kinetic energy of the electron? How does this energy compare with the ground-st
Chapter 1
Relativity I, Solutions of selected
Problems
1.1
Problem 1.10
The average lifetime of a -meson in its own frame of reference is 2.6 108 s. (This is
proper time.) If the meson moves with a speed of 0.95c, what is:
(a) its mean lifetime as measure
Chapter 5
Matter Waves. Solutions of Selected
Problems
5.1
Problem 5.11 (In the text book)
For an electron to be conned to a nucleus, its de Broglie wavelength would have to be less
than 1014 m.
(a) What would be the kinetic energy of an electron conned t
Chapter 4
Particle Nature of Matter. Solutions
of Selected Problems
4.1
Problem 4.5 (In the text book)
A Thomson-type experiment with relativistic electmns. One of the earliest experiments to
show that p = me v (rather than p = me v) was that of C. Neuman
Chapter 3
Quantum Theory of Light. Solutions
of Selected Problems
3.1
Problem 3.4 (In the text book)
(a) Use Stefans law to calculate the total power radiated per unit area by a tungsten lament
at a temperature of 3000 K. (Assume that the lament is an ide
Chapter 6
Quantum Mechanics in One
Dimension. Solutions of Selected
Problems
6.1
Problem 6.13 (In the text book)
A proton is conned to moving in a one-dimensional box of width 0.200 nm.
(a) Find the lowest possible energy of the proton.
(b) What is the lo
Chapter 2
Relativity II. Selected Problems
2.1
Problem 2.5 (In the text book)
Recall that the magnetic force on a charge q moving with velocity v in a magnetic eld B
is equal to qv B. If a charged particle moves in a circular orbit with a xed speed v in
t
Chapter 1
Relativity I. Home Work Solutions
1.1
Problem 1.2
A 2000-kg car moving with a speed of 20 m/s collides with and sticks to a 1500-kg car at
rest at a stop sign. Show that because momentum is conserved in the rest frame, momentum
is also conserved