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The knight from a chess set is placed at the focal point of a diverging lens as

ID: 1518352 • Letter: T

Question

The knight from a chess set is placed at the focal point of a diverging lens as shown. By either carefully constructing a ray diagram or using the lens equation, determine where the image of the knight will appear?

A

no image is formed

B

the image is at a distance f to the left of the lens, but it is inverted

C

the image is at a distance f to the right of the lens, but it is upright

D

the image is at a distance f/2 to the right of the lens, but it is inverted

E

the image is at a distance f/2 to the left of the lens, but it is upright

A

no image is formed

B

the image is at a distance f to the left of the lens, but it is inverted

C

the image is at a distance f to the right of the lens, but it is upright

D

the image is at a distance f/2 to the right of the lens, but it is inverted

E

the image is at a distance f/2 to the left of the lens, but it is upright

Explanation / Answer

forcal alength= -f (negative because the lens is diverging)

distance of object= do= f

we need distance f image di

using lens formula

1/f= 1/do+ 1/di

1/-f = 1/f + 1/di

-1/f - 1/f = di

di= -f/2 so the image is formed at a distance of f/2 to the left(because di is negative) and is upright.so option d is correct.

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