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A diverging lens has a focal length of 20 cm What is the image distance for an o

ID: 1395726 • Letter: A

Question

A diverging lens has a focal length of 20 cm

What is the image distance for an object distance of 40 cm? Answer with ?1000 cm if no image is formed. Answer in units of cm.

What is the magnification? Answer with 0 if no image is formed.

What is the image distance for an object distance of 20 cm? Answer with ?1000 cm if no image is formed. in cm

What is the magnification? Answer with 0 if no image is formed.

What is the image distance for an object distance of 10 cm? Answer with ?1000 cm if no image is formed. Answer in units of cm.

What is the magnification? Answer with 0 if no image is formed.

Explanation / Answer

Here ,

focal length , f = 20 cm

object distance , do = 40 cm

Using lens formula ,

1/f = 1/di + 1/do

1/20 = 1/40 + 1/di

di = 40 cm

the image distance is 40 cm
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magnification = -di/do

magnification = -40/20

magnification = -2

the magnification of image is -2

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for object distance , do = 20 cm

using lens formula ,

1/20 = 1/20 + 1/di

di = infinite

the image is formed at infinity

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magnitfication is not defined

magnification = 0

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for object distance ,do = 10 cm

1/20 = 1/10 + 1/di

di = -20

image distance is -20 cm

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magnification , m = -di/do

magnification , m = 20/10

magnification , m = 2

magnification of the image is 2

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