The image of an object, formed by a plano-convex lens at a distance of 8m 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 the wavelength is free space. The radius of the curved surface of the lens is

Options

A. `1 m`
B. `2 m`
C. `3 m`
D. `6 m`

Answer

A

Explanation

`v=8m` (magnification `=-(1)/(3)=(v)/(u)` )
`u=-24m`
`(1)/(f)=((3)/(2)-1)((1)/(infty)+(1)/(R))`
`R=3m`