The distance between an object and the screen is 100cm. A lens produces an image on the screen when the lens is place at either of the positions 40cm apart. The power of the lens is nearly
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a
3 diopters
b
5 diopters
c
2 diopters
d
9 diopters
answer is B.
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Detailed Solution
x+y=100−−−(1) y−x=40−−−(2) Solving equation (1) and (2) we gety = 70cm ; x = 30cmthe power of lens is 1f=1y+1x =10070+(10030)=10021≈5diopters