Q.

A candle placed 25 cm from a lens, forms an image on a screen placed 75 cm on the other end of the lens.  The focal length and type of the lens should be

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a

+ 18.75 cm and convex lens

b

– 18.75 cm and concave lens

c

+ 20.25 cm and convex lens

d

– 20.25 cm and concave lens

answer is A.

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Detailed Solution

u=−25cm,v=+75cm ⇒1f=1+75−1−25⇒f=+18.75cm. convex lens.
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A candle placed 25 cm from a lens, forms an image on a screen placed 75 cm on the other end of the lens.  The focal length and type of the lens should be