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The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is 2/3 times and the wavelength in free space. The radius of the curved surface of the lens is

a
1 m
b
2 m
c
3 m
d
6 m

detailed solution

Correct option is C

μ=λairλmedium=12/3=32 Further, m=13=vu ∴v=u3v=+8m (Real image ) Given⇒u=−24m (Real object) Now, 1v−1u=1f=μ−11+R−1∞∴18+124=32−11R ∴R=3 m

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