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 = -55cm . 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 13cm -long pencil held vertically 1.6m from his glasses.

(A)

Use ray tracing to determine the location of the image.

Express your answer using two significant figures.

*answer in m*

(b)

Use ray tracing to determine the height of the image.

Express your answer using two significant figures.

*answer in cm*

Explanation / Answer

a.

1/do +1/di =1/f
f= - 0.55 m (for diverging lens), do= 1.6 m

1/di=-1/do+1/f=-(1/1.6+1/0.55)=2.4432 ---> di = -1/2.4432 = -0.4093 = -0.41 (

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