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Cutting of Thin Lenses

A 16 cm lon...

Question

A $16 c m$ long image of an object is formed by a convex lens on a screen. On moving the lens toward the screen. a $9 c m$ long image is formed again on the screen. The size of the object is

A

9 c m

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B

11 c m

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C

12 c m

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D

13 c m

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Solution

The correct option is C $12 c m$
Given,
$y_{1} = 16 c m$
$y_{2} = 9 c m$
The size of the object is,
$y = \sqrt{y_{1} \times y_{2}}$
$y = \sqrt{16 \times 9} = 4 \times 3$
$y = 12 c m$
The correct option is C.

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