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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Geometrical Optics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics

A thin lens is constructed from a material with a refractive index...

A thin lens is constructed from a material with a refractive index of μ=1.5\mu = 1.5, and both of its sides are convex. When it is immersed in water (μ=1.33\mu = 1.33), it will act as

Options

  1. Aa divergent lens
  2. Ba rectangular slab
  3. Ca convergent lens
  4. Da prism.

Correct answer

C. a convergent lens

Step-by-step solution

Using the lens maker's formula:

1f=(μLμM−1)(1R1−1R2)<br><br>Forabiconvexlens,\dfrac{1}{f} = \left( \dfrac{\mu_L}{\mu_M} -1 \right)\left( \dfrac{1}{R_1} - \dfrac{1}{R_2} \right)<br><br>For a biconvex lens,R_1ispositiveandis positive andR_2isnegative,sotheterm(1R1−1R2)ispositive.<br><br>Giventherefractiveindexofthelensis negative, so the term \left( \dfrac{1}{R_1} - \dfrac{1}{R_2} \right) is positive.<br><br>Given the refractive index of the lens\mu_L = 1.5andtherefractiveindexofthesurroundingmedium(water)and the refractive index of the surrounding medium (water)\mu_M = 1.33.<br><br>Since.<br><br>Since\mu_L > \mu_M,therelativerefractiveindexμLμM, the relative refractive index \dfrac{\mu_L}{\mu_M}> 1,makingtheterm, making the term\left( \dfrac{\mu_L}{\mu_M} -1 \right) positive.

Thus, the focal length ff remains positive.

A lens with a positive focal length acts as a convergent lens. Therefore, the lens continues to act as a convergent lens when immersed in water.
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