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Batman and Robin are attempting to escape that dastardly villain, the Joker, by hiding in a large pool of water (refractive index nwater = 1.

Batman and Robin are attempting to escape
that dastardly villain, the Joker, by hiding
in a large pool of water (refractive index
nwater = 1.333). The Joker stands gloating at
the edge of the pool. (His makeup is water-
soluble.) He holds a powerful laser weapon
y1 = 1.29 m above the surface of the water
and fires at an angle of 1 = 26.5 to the hor-
izontal. He hits the Boy Wonder squarely on
the letter “R”, which is located y2 = 3.13 m
below the surface of the water.
q
x
y
y
1
1
2
R
J
Batplastic

surface
Mirrored

Surface
water
B
How far (horizontal distance) is Robin from
the edge of the pool? (Fear not, Batfans. The
“R” is made of laser-reflective material.)
Answer in units of m.
003 (part 2 of 3) 10.0 points
Batman attempts to hide out in a Batbox.
The top is a mirrored surface, but the vertical
sides are made of clear Batplastic (refractive
index np = 1.333). It is located x = 3.43 m
horizontally from the edge of the pool.
What is the minimum depth (measured to
the top of the Batbox) that the Batbox can be
below the surface of the water for the Caped
Crusader to remain hidden from the Joker?
Assume: The Joker gets down close to the
water for the best view.
Answer in units of m.
004 (part 3 of 3) 10.0 points
How would this minimum depth change if the
sides of the Batbox were made of diamond
(refractive index n = 2.419) instead of Bat-
plastic?
1. The Batbox would need to be lower in the
water.
2. The Batbox should stay where it is.
3. The Batbox could be higher.
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