JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
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 \(\frac{2}{3}\) 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 \(^{\prime} x^{\prime}\) is ....... .
- A \(30\)
- B \(36\)
- C \(25\)
- D \(40\)
Answer & Solution
Correct Answer
(A) \(30\)
Step-by-step Solution
Detailed explanation
\(\lambda_{ m }=\frac{\lambda_{ a }}{\mu} \Rightarrow \mu=\frac{3}{2}\) \(\frac{\mu}{ v }-\frac{1}{ u }=\frac{\mu-1}{ R }\) \(\frac{3}{2 \times 10}+\frac{1}{15}=\frac{\frac{3}{2}-1}{ R }\) \(R =\frac{30}{13}\) \(=30\)
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