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TS EAMCET · Physics · Ray Optics

The power of a thin convex lens placed in air is +4 D . The refractive index of the material of the convex lens is \(\frac{3}{2}\). If this convex lens is immersed in a liquid of refractive index \(\frac{5}{3}\), then

  1. A it behaves like a convex lens of focal length 75 cm
  2. B it behaves like a convex lens of focal length 125 cm
  3. C it behaves like a concave lens of focal length 125 cm
  4. D it behaves like a concave lens of focal length 75 cm
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Answer & Solution

Correct Answer

(C) it behaves like a concave lens of focal length 125 cm

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Detailed explanation

For thin convex lens, \(P=+4 D, \mu_{\ell}=\frac{3}{2}, \mu_m=\frac{5}{3}\) \(\therefore P=\frac{1}{f_a} \Rightarrow f_a=\frac{1}{4} m=25 \mathrm{~cm}\) In air, \(\frac{1}{f_a}=\left(\mu_{\ell}-1\right)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)\)...(i) In medium,…
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