Problem 22.42 A camera with an 8.0-cm focal length lens is used to photograph a

Question

Problem 22.42

A camera with an 8.0-cm focal length lens is used to photograph a person who is 2.0 m tall. The height of the image on the film must be no greater than 3.5 cm.

Part A

Calculate the closest distance the person can stand to the lens.

Express your answer to two significant figures and include the appropriate units.

Part B

For this object distance, how far should the film be located from the lens?

Express your answer to two significant figures and include the appropriate units.

Problem 22.42

A camera with an 8.0-cm focal length lens is used to photograph a person who is 2.0 m tall. The height of the image on the film must be no greater than 3.5 cm.

Part A

Calculate the closest distance the person can stand to the lens.

Express your answer to two significant figures and include the appropriate units.

s =

Part B

For this object distance, how far should the film be located from the lens?

Express your answer to two significant figures and include the appropriate units.

s =

Explanation / Answer

focal length

f = 8 cm

height of the person = ho = 2 m = 200 cm

height of the image = hi = 3.5 cm

object distance s = ?

image distance = s' = ?

s'/s = hi/ho

s'/s = 3.5/200

s' = -0.0175 * s

1/s + 1/s' = 1/f

1/s + 1/0.0175s = 1/8

s = 465.14 cm

part(B)

s' = 8.14 cm

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