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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 convex lens is fabricated from a material possessing a refractive...

A convex lens is fabricated from a material possessing a refractive index of 1.21.2. Both of its surfaces are convex. If immersed in water (μ=1.33\mu = 1.33), it will function as

Options

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

Correct answer

C. a divergent lens

Step-by-step solution

According to 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,so(1R1−1R2)>0is negative, so \left( \dfrac{1}{R_1} - \dfrac{1}{R_2} \right)> 0.

Given μL=1.2\mu_L = 1.2 and μM=1.33\mu_M = 1.33.

Since μL<μM\mu_L < \mu_M, the term \left( \dfrac{\mu_L}{\mu_M} - 1 \right)isnegative.<br><br>Therefore,thefocallengthis negative.<br><br>Therefore, the focal lengthfbecomesnegative.<br><br>Alenswithanegativefocallengthbehavesasadivergentlens.becomes negative.<br><br>A lens with a negative focal length behaves as a divergent lens.
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