WBJEE · Physics · Ray Optics
A spherical convex surface of power 5 dioptre separates object and image space of refractive indices \(1.0\) and \(\frac{4}{3}\) respectively. The radius of curvature of the surface is
- A \(20 \mathrm{~cm}\)
- B \(1 \mathrm{~cm}\)
- C \(4 \mathrm{~cm}\)
- D \(5 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(D) \(5 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
\(P=5 D\) \(u=\infty\) then \(\frac{1}{\infty}-\frac{4 / 3}{f}=\frac{1-4 / 3}{R}\) \(-\frac{4}{3 f}=-\frac{1}{3 R}\) \(\frac{f}{4}=R \quad \quad f=4 R\) \(\therefore \frac{100}{5}=4 R \Rightarrow R=\frac{25}{5}=5 \mathrm{~cm}\)
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