The image of an object, forme 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

Answer

`3.00`

Explanation

Real image `rArr v = +8 m`
`m=(v)/(u)=-(1)/(3)rArr u=-24 m`
`f=(uv)/(u-v)=((-24)(8))/(-24-8)=6m`
for plano convex lens
`(1)/(f)=(u-1)((1)/(R )-(1)/(oo))`
`rArr (1)/(6)=((3)/(2)-1)((1)/(R ))`
R = 3 m