Can\'t figure out Part C.. Need a good explanation... Im confused. Thanks! The l

Question

Can't figure out Part C.. Need a good explanation... Im confused. Thanks!

The left end of a long glass rod, 10.0cm in diameter, has a convex hemispherical surface 5.00cm in radius. The refractive index of the glass is 1.60.

Part A

Determine the position sb of the image of an object placed in air on the axis of the rod infinitely far from the left end of the rod.

Express your answer in centimeters to three significant figures.

13.3

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Correct

Since the position is a positive number, the image is formed to the right of the surface and is a real image.

Part B

Determine the position sb of the image if an object is placed in air on the axis of the rod 13.0cm to the left of the end of the rod.

Express your answer in centimeters to three significant figures.

37.1

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Correct

Since the position comes out to be positive, this image is also formed to the right of the surface and is a real image.

Part C

Determine the position sb of the image if an object is placed in air on the axis of the rod 2.00cm from the left end of the rod.

Express your answer in centimeters to three significant figures.

13.3

Explanation / Answer

C. apply 1/f = (n-1) ( 1/R1-1/infi)

1/f = (1.6-1) *(1/5)

f = 8.334 cm

now apply -1/f = 1/u +1/v

1/v = -1/f-1/u

v = -uf/(u-f)

v = -2* 8.333/(2-8.334)

v = sb = -2.63 cm is the image distance

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