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

The image of an object placed in air formed by a convex refracting surface is at a distnace of 10 m behind the surface. The image is real and is at \frac{2^{rd}}{3} of the distance of the object from the surface. The wavelength of light inside the surface is \frac{2}{3} times the wavelength in air.The radius of the curved surface is \frac{x}{13}m. The value of 'x' is ____________.
Option: 1 30
Option: 2 35
Option: 3 40
Option: 4 45

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\begin{array}{l} \lambda_{ m }=\frac{\lambda_{ a }}{\mu} \Rightarrow \mu=\frac{3}{2} \\\\ \frac{\mu}{ v }-\frac{1}{ u }=\frac{\mu-1}{ R } \\\\ \frac{3}{2 \times 10}+\frac{1}{15}=\frac{\frac{3}{2}-1}{ R } \\\\ R =\frac{30}{13} \\\\ =30 \end{array}

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Deependra Verma

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