Can some one please answer all of the questiosn in this one A diverging lens has

Question

Can some one please answer all of the questiosn in this one

A diverging lens has a focal length of magnitude 20.6 cm. Locate the images for each of the following object distances. 41.2 cm distance cm 20.6 cm distance 10.3 cm Is the image for the object at distance 41.2 real or virtual? Is the image for the object at distance 20.6 real or virtual? Is the image for the object at distance 10.3 real or virtual? Is the image for the object at distance 41.2 upright or inverted? Is the image for the object at distance 20.6 upright or inverted? Is the image for the object at distance 10.3 upright or inverted? Find the magnification for the object at distance 41.2 cm. Find the magnification for the object at distance 20.6 cm. Find the magnification for the object at distance 10.3 cm.

Explanation / Answer

here,

focal length , f = 20.6 cm

a)

the object distance , do1 = 41.2 cm

let the image distance be di1

using the lens formula

1/f = 1/do1 + 1/di1

1/20.6 = 1/41.2 + 1/di1

di1 = 41.2 cm

the object distance , do2 = 20.6 cm

let the image distance be di2

using the lens formula

1/f = 1/do2 + 1/di2

1/20.6 = 1/20.6 + 1/di2

di2 = infinite

the object distance , do3 = 10.3 cm

let the image distance be di3

using the lens formula

1/f = 1/do3 + 1/di3

1/20.6 = 1/10.3 + 1/di3

di3 = -20.6 cm

(b)

the image of object at distance 41.2 is real

the image of object at distance 20.6 is not formed

the image of object at distance 10.3 is virtual

(c)

the image of object at distance 41.2 is inverted

the image is not formed

the image of object at distance 10.3 is upright

(d)

magnification , m = - di/do = - 41.2/41.2 = -1

magnification is infinite

magnification , m = - di/do = 20.6/10.3 = 2

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