Physics 215
Homework Set 1
1. A spaceship of length 40m at rest is observed to be 20m long when in motion. How fast is it moving?
Hint: derive a formula giving in terms of and put it on your formula sheet.
2. The Concorde travelled 8000 km between two pla
Physics 215 Spring 2016
Homework #3
1. A particle having a speed of 0.92 c has a momentum of 10
MeV /c2 units?
. What is its mass a) in kg, and b) in
2. Calculate the momentum, kinetic energy, and total energy of an electron traveling at a speed of (
Physics 215 Spring 2016
Homework #9
1 The wave function for the ground state for the simple harmonic oscillator is
. Normalize
the wave function to find the value of the constant A. Determine , and
= .You will
need some Gaussian integralssee the referen
Physics 215 Spring 2016
Homework #7
1. An atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the
s. (a) What is the energy uncertainty of the emitted photon? (b) What is the
excited state is 1.0 X 10
spectra
Physics 215 Spring 2016
Homework #5
1.
Calculate max for blackbody radiation for a) liquid helium (4.2K), (b) room temperature (293K), (c) a
steel furnace (2500K), and (d) a blue star (9000K)
2.
How many photons per second are contained in a beam of total
Physics 215 Spring 2016
Homework #6
X rays scattered from a crystal have a first-order diffraction peak at
higher-order peaks appear?
1.
12.5 . At what angle(s) will
Calculate the de Broglie wavelength of a 1.2-kg rock thrown with a speed of 6.0 m/s into
Physics 215
HW11
Spring 2016
1. Internal magnetic fields acting on electrons in an atom can be of order .3 T. Lets
estimate the size of their effect. For hydrogen atoms in a 4d state, what is the maximum
difference in potential energy between atoms when p
Physics 215 Spring 2016
Homework #12
1. What are the number of neutrons and protons for the following nuclides:
might have to look up Z in Appendix B of B&W.
,
,
,
? You
2. What is the ratio of density of the nucleus to that of water?
3. (a) Show that t
Physics 215 Spring 2016
Homework #4
1. Gold has a molar mass of 197 g/mol. (a) How many moles of gold are in a 2.50 g sample of
pure gold? (b) How many atoms are in the sample?
2. The best laboratory vacuum has a pressure of about 1.00 x 10-18 atm, or 1.0
Physics 215 Spring 2016
Homework #10
1. Compare the wavelength of a particle when it passes a barrier of height (a) + and (b)
E > | |. Calculate the momentum and kinetic energy for both of these cases algebraically.
where
2 . (a) Calculate the transmissio
Physics 215 Spring 2016
Homework #13
1. Supply the missing neutrinos in the following reactions or decays.
(a)
?
(d)
?
(b) ?
(e) ?
?
(c)
2. Explain why each of the following reactions is forbidden.
(a)
(b)
3. Determine the
Physics 215 Spring 2016
Homework #8
1. Show directly that the trial wave function ,
2.
Choose A to normalize the wave function
satisfies the Schrdinger Equation.
from r = 0 to where
and A are constants.
3. . A wave function has the value A sin x bet