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Physics 263: Practice for Midterm
1. (Literally a GRE question—choose a letter, but also add a word or two of explanation.)
In an inertial frame S, two events occur on the xaxis seperated in time by Δ
t
and in
space by Δ
x
. In another inertial frame
S
0
, moving in the xdirection relative to S,
the two events could occur at the same time under which, if any, of the following
conditions?
(a) For any values of Δ
x
and Δ
t
(b) Only if

Δ
x/
Δ
t

< c
(c) Only if

Δ
x/
Δ
t

> c
(d) Only if

Δ
x/
Δ
t

=
c
(e) Under no condition
2. A particle of rest mass
m
has total energy
E
as it travels down the
x
axis. It decays
in to a pair of photons, one of which continues down the +
x
axis, while the other goes
in the opposite (

x
) direction.
(a) Find the energies
E
1
and
E
2
of the photons.
(b) If we trade the input parameter
E
for the particle’s velocity
v
, ﬁnd the series
expansion for
E
1
and
E
2
to
linear
order in
v/c
, i.e. dropping order
v
2
/c
2
.
3. Consider the familiar situation: Alan stands on the ground while Beth is at middle of
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This note was uploaded on 06/13/2011 for the course PHY 263 taught by Professor Kilcup during the Spring '10 term at Ohio State.
 Spring '10
 Kilcup
 Inertia

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