The answer for 6 is m= 0.909 (9.09% smaller) and 7 m= 1.111 ( 11.1% larger). I d

Question

The answer for 6 is m= 0.909 (9.09% smaller) and 7 m= 1.111 ( 11.1% larger). I don't know how to get these answers and help is appreciated! Thank you.
6. Estimate of Eye Size for a ight Person Suppose a near-sighted person has an eyeglass prescription of -5 diopters, which means that the focal length of eyeglass lenses is -(1/5)m 20 cm. When the person is wearing glasses and we look at his eyes, we are seeing an image of his eyes through the eyeglass lenses. Suppose the. eyes are 2 cm behind the lenses. Find the magnification ponding to the image of the eyes. comes Do the person's eyes appear larger or smaller? By what percentage? 2 Estimate of Eye Size for a Ear-Sighted Person Repeat the calculations of the previous problem, but in this case assume that the eyeglass prescription is +5 diopters, which means that the focal length of the eyeglass lenses is +20 cm.

Explanation / Answer

lens maker's formula

1/f = 1/v-1/u

1/v = 1/f+1/u

magnification m = v/u

1/m = u/v = u/f +1,   u = -2, 2 cm behind the lens, f = -20

1/m = 2/20 +1 = 11/10

m = 10/11 = 0.909 , the image is of the eyes is smaller by 0.909

7)

1/m = -2/20 +1 = 9/10 ( u= -2 , f = =20)

   m = 10/9 = 1.11 time , the image of the eyes is larger.

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