A near-sighted person might correct his vision by wearing diverging lenses with

Question

A near-sighted person might correct his vision by wearing diverging lenses with focal length f = -55 cm . When wearing his glasses, he looks not at actual objects but at the virtual images of those objects formed by his glasses. Suppose he looks at a 14 cm -long pencil held vertically 2.3 m from his glasses.

PART A

Use ray tracing to determine the location of the image.

Express your answer using two significant figures.

s = ? cm

PART B

Use ray tracing to determine the height of the image.

Express your answer using two significant figures.

h' = ? cm

Explanation / Answer

given

f=-55cm

ho= 14cm, do = 230 cm

1/f =1/do + 1/di

1/-55=1/230+1/di

di=-72.4cm--answer a

b)m = hi / ho = - di / do

hi/ho=-(-72.4cm)/230cm

hi/ho=0.314

hi=0.314*14cm

hi=4.4cm

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