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 23rd of the distance of the object from the surface. The wavelength of light inside the surface is 23 times the wavelength in air. The radius of the curved surface is x13m. The value of 'x' is ______

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answer is 30.

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Detailed Solution

λm=λairμ⇒μ=32 Applying μ2v−μ1u=μ2−μ1R⇒μv−1u=μ−1RGiven : v=+10 and u=-32v =-15⇒320+115=1.5−1R⇒R=3013=x13∴x=30

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