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Intermediate Modern Physics  Review Problems
Fall, 2009
1. A proton moving with
β
= 0
.
99 will appear like a moving disk. (a) Compute the thickness of
the disk assuming that in the proton’s rest frame the proton’s diameter is 1 fm. (b) Compute
the proton’s
kinetic energy
in MeV, assuming its mass is 938 MeV/c
2
. The proton collides
and fuses with a stationary proton to create a new particle. (c) What is the mass of the new
particle? (d) How fast will the new particle be moving?
2. Compute the spacetime interval (in
light years
) between the following events
A
and
B
, with
the time and space coordinates given in Earth’s frame of reference:
A
— time 2019 AD on Earth
B
— time 2025 AD at Sirius, which is 8 light years away.
What is the physical signiﬁcance of this time interval?
3. In the Bohr model of the hydrogen atom, the angular momentum
L
=
mvr
is assumed to
be quantized, that is,
mvr
=
n
~
, where
m
is the mass of the electron,
v
the speed of the
electron,
r
the radius of the electron’s orbit,
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 Fall '09
 PROSPER

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