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CHEM 374
EXAM I
Spring 2009
Name:_______________________
This exam should have a total of 6 numbered pages
including the back page which contains reference material
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1)
Consider a green photon which has a wavelength of 500 nm.
a.
(5 points) What is the momentum of the photon (in kg m/s units)?
b.
(5 points) What is the energy of the photon (in J units)?
c.
(5 points) What is the frequency of the photon (in s
1
units)?
d.
(5 points) What is the wavenumber of the photon (in cm
1
units)?
2)
(20 points) A given particle has the following expectation values:
x
=
0,
x
2
=
a
2
,
p
=
0. What is the smallest possible
momentum squared expectation value
which this
particle could have (show your work)?
3
3)
Consider a wavefunction which is proportional to
[ ]
x
a
)
/
2
(
sin
π
and extends over the
range
2
2
a
a
x
<
<
−
(and is equal to zero everywhere else).
a.
(15 points) Normalize the above wavefunction (show your work).
b.
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This note was uploaded on 03/02/2012 for the course CHEMISTRY 374 taught by Professor Donben during the Spring '09 term at Purdue University.
 Spring '09
 donben
 pH

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