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AP EAMCET · PHYSICS · Ray Optics

The ratio of the focal lengths of a convex lens when kept in air and when it is immersed in a liquid is \(1: 2\). If the refractive index of the material of the lens is 1.5, then the refractive index of the liquid is

  1. A \(1.20\)
  2. B \(1.30\)
  3. C \(1.25\)
  4. D \(1.35\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.20\)

Step-by-step Solution

Detailed explanation

\( \frac{1}{f_{air}} = (\mu_g - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right) \) \( \frac{1}{f_{liquid}} = \left( \frac{\mu_g}{\mu_l} - 1 \right) \left( \frac{1}{R_1} - \frac{1}{R_2} \right) \)…