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An image of a bright square is obtained ...

An image of a bright square is obtained on a screen with the aid of a convergent lens. The distance between the square and the lens is 40cm. The area of the image is nine times larger than that of the square. Select the correct statement(s):

A

30 cm

B

50 cm

C

60 cm

D

75 cm

Text Solution

Verified by Experts

The correct Answer is:
A

`(A_i)/(A_0)=mu_2implies9m^2impliesm=+-3`
`u=-40cm,m=-3,m=(v)/(u)implies-3=(v)/(-40)`
`v=120cm`
`(1)/(f)=(1)/(v)-(1)/(u)=(1)/(120)-(1)/(-40)=(1+3)/(120)=(1)/(30)impliesf=30cm`
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