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 = 50 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 1.4 m from his glasses. Use ray tracing to determine the location and height of the image.

Can someone please help me, I tried this problem on my own and got the answer wrong

cm

Can someone please help me, I tried this problem on my own and got the answer wrong

Explanation / Answer

Given values are

focal length = 50 cm

distance of object = do = 1.4 m = 140 cm

height of object = 14 cm

using equation

1/f = 1/di + 1/do

1/di = 1/f - 1/do = 1/50 - 1/140

di = 77.78 cm

new h = -i/o * h = 77.78/140*10=5.55 cm

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