Plane surface of a thin planoconvex lens reflects `50%` of light, while the curved surface is completely transparent, if final image of `O` after refraction through lens coinsides with the image formed due to partial reflection from plane surface. if distance (in m) between `O` and lens is x then find `x//4`

Answer

3

Explanation

`(1)/(x)-(1)/(-x)=((3)/(2)-1)((1)/(infty)-(1)/(-300))`
`implies(2)/(x)=(1)/(2).(1)/(300)impliesx=1200cm=12m`