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TS EAMCET · Physics · Ray Optics

A convex lens of focal length \(0.15 \mathrm{~m}\) is made of a material of refractive index \(\frac{3}{2}\). When it is placed in a liquid, its focal length is increased by \(0.225 \mathrm{~m}\). The refractive index of the liquid is

  1. A \(\frac{7}{4}\)
  2. B \(\frac{5}{4}\)
  3. C \(\frac{9}{4}\)
  4. D \(\frac{3}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{5}{4}\)

Step-by-step Solution

Detailed explanation

\[ f_a=0.15 \mathrm{~m}, \mu_g=3 / 2, f_e=0.225+0.15 \] From lens formula, For air, \(\frac{1}{f_a}=\left(\frac{\mu_g}{\mu_a}-1\right)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)\) For liquid,…
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