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Q.

The image of an illuminated square is obtained on a screen with the help of a converging lens. The distance of the square from the lens is 40 cm. The area of the image is 9 times that of the square. The focal length of the lens is: 

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a

36 cm

b

60 cm

c

27 cm

d

30 cm

answer is D.

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Detailed Solution

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If side of object square =l
And side of image square =l' 
From equation,  l'2l2=9
i.e., magnification  m=3
u=40cm          v=3×40=120cm           f=?

From formula,  1v1u=1f    1120140=1f  or     1f=1120+140=1+3120  f=30  cm

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