OPTI 201R, Fall 2005
Problem Set X
Due October 31, 2005
10/26/05
1 of 2
X.1
For a concave mirror, radius of 20 cm, with a diameter of 4 cm:
a)
Find the power in diopters if used in air.
b)
What is the (F/#)
∞
in air?
c)
Make a sketch showing the cardinal points.
d)
What is the power (diopters) if the mirror is submerged in water?
(n = 4/3)
e)
What is its focal lengths (f,f*) in water?
X.2
A concentric lens of index 1.5 with radii of 5 and 8 cm is aluminized on the 8 cm
surface as shown below.
a)
What is the total power of the lens?
b)
Where is the back focal point located?
X.3
An equiconvex lens of index 1.5, thickness 2 cm and radii of 10 cm is aluminized
(mirror surface) on one side.
a)
What is the power (diopters)?
b)
Where are the cardinal points?
X.4
A glass sphere (n = 1.5) with a radius of 5 cm is dipped into gold such that ½ of the
sphere is covered with gold.
An object is placed 15 cm in front of the glass sphere so
that the gold surface acts as a mirror (see below).
Gold
object
15 cm
a)
Where is the image?
b) What is the transverse magnification?
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 Spring '05
 dereniak

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