Given:
F
i
n
d
:
cm
H
54
?
1
x
41
?
2
x
33
.
1
n
?
3
x
cm
x
18
4
?
v
A metric ruler lies at the bottom of a rectangular water tank of height
H
= 54 cm. You look into
the tank at an angle of 41° to the vertical along a line that skims the top edge of the tank as shown in the
figure. The index of refraction of the water is
n
= 1.33.
(a) What mark on the ruler do you read when the tank is empty? (Express your answer in
centimeters.)
(b) What mark on the ruler do you read when the tank is half full?
(c) What mark on the ruler do you read when the tank is full?
(d) The tank is emptied of water and then refilled (to full) with an unnamed liquid (index of
refraction of which is unspecified). In viewing under the identical conditions to those above, you read
x
4
= 18 cm on the ruler. Calculate the
speed of light
in the unnamed liquid.
Solutions
x
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 Fall '10
 Selig
 Tan, 18 cm, 54 cm, 18cm, 41°

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