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Question

Question: A converging beam of light forms a sharp image on a screen. A lens is placed 10 cm from the screen i...

A converging beam of light forms a sharp image on a screen. A lens is placed 10 cm from the screen in the path of the beam. It was found that the screen has to be moved 8 cm further away to obtain the sharp image. Focal length of the lens is –

A

6.43 cm

B

– 2.5 cm

C

– 22.5 cm

D

2.66 cm

Explanation

Solution

Since the screen has to be moved away, the lens used should be concave.

=

Ž = 118110\frac { 1 } { 18 } - \frac { 1 } { 10 }

f = 1801018\frac { 180 } { 10 - 18 }= – 22.5 cm