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1. The distance between an object and its image formed by a diverging lens is 5.

ID: 1791265 • Letter: 1

Question

1. The distance between an object and its image formed by a diverging lens is 5.90 cm. The focal length of the lens is -3.00 cm. Find (a) the image distance and (b) the object distance.

2.   A farsighted woman breaks her current eyeglasses and is using an old pair whose refractive power is 1.610 diopters. Since these eyeglasses do not completely correct her vision, she must hold a newspaper 42.00 cm from her eyes in order to read it. She wears the eyeglasses 2.00 cm from her eyes. How far is her near point from her eyes? N=?

Explanation / Answer

here,

1)

let the image distance an dthe object distance be di and do

using the lens formula

1/f =1/di + 1/do

- 1/3 = 1/di +1/do ...(1)

and

do + di = 5.9 cm ....(2)

from (1) and (2)

di = - 2.19 cm

do = 8.09 cm

the object distance is 8.09 cm

the image distance is -2.19 cm