A magnifier used for reading small print is shaped like a hemisphere 2.0 cm in r

Question

A magnifier used for reading small print is shaped like a hemisphere 2.0 cm in radius, placed on top of a cylinder of the same radius and 2.0 cm tall. The flat side of the magnifier is placed directly over the print on a book. Where does the image of the print appear to be? (The index of refraction of the magnifier is 1.52.)

A) 30.4 cm above the top of the magnifier

B) 12.7 cm above the top of the magnifier

C) at the center of the hemisphere

D) 12.5 cm below the top of the magnifier

E) 32.1 cm below the top of the magnifier

Please explain how you got the answer, thanks!

Explanation / Answer

Apply n1/p + n2/q = (n2-n1)/R

1.52/4 + 1/q = -.52/2

q = -1.55 cm (The negative means the image is virtual and still in the magnifier 1.55 cm behind the surface. The negative is just sign convention and can be ignored if needed.)

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