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Physics 523 Midterm Exam, Fall 2010
Wednesday, May 27, 9:3010:50am
This exam consists of 3 problems (with multiple parts) on 1 page, worth a total of 100 pts. Do
all
problems, answered in the exam booklet provided, and clearly show all your work. This is a
closedbook exam. Nonprogrammable calculators may be used (though should not be necessary).
Remember to write your name in the exam booklet, and write and sign the pledge :
I pledge my
honor that I have not violated the Honor Code during this examination.
Problem 1. [40 pts total]
In Minkowski spacetime
ds
2
=

dt
2
+
dx
2
+
dy
2
+
dz
2
a curve is parameterized as follows:
t
(
λ
) =
λ
;
x
(
λ
) =
R
cos(
ωλ
);
y
(
λ
) =
R
sin(
ωλ
);
z
(
λ
) = 0
,
where
R
and
ω
are constants. The following questions all assume the trajectory describes a
timelike
particle:
(a) [10 pts]
What is the
unit
four vector
u
α
(
λ
) tangent to the curve?
(b) [5 pts]
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This note was uploaded on 02/02/2012 for the course PHY 523 at Princeton.
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