The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at (2^(rd))/3 of the distance of the object from the surface. The wavelength of light inside the surface is 2/3 times the wavelength in air. The radius of the curved surface is x/13 m. The value of 'x' is _ _ _ _ _ _.

Optics: JEE Main 2021 Physics question

JEE Main 2021 · 17 Mar, Evening shift · Q64

JEE Main 202117 Mar, Evening shiftPhysicsHardOptics190× since 2002

The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at

{{{2^{rd}}} \over 3}

of the distance of the object from the surface. The wavelength of light inside the surface is

{2 \over 3}

times the wavelength in air. The radius of the curved surface is

{x \over {13}}

m. The value of 'x' is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Optics Question with Answer (17 Mar Evening shift, Q64) | JEE Arc