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Question

Physics Question on Optics

For fixed values of radii of curvature of lens, power of the lens will be ____.
Fill in the blank with the correct answer from the options given below

A

P(μ1)P \propto (\mu - 1)

B

Pμ2P \propto \mu^2

C

P1μP \propto \frac{1}{\mu}

D

Pμ2P \propto \mu^{-2}

Answer

P(μ1)P \propto (\mu - 1)

Explanation

Solution

The power P of a lens is related to the refractive index μμ and the radii of curvature R1R_1 and R2R_2 by the Lensmaker’s formula:
P=(μ1)(1R11R2)P = (\mu - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right)
For fixed values of the radii of curvature R1R_1 and R2R_2, the power of the lens is directly proportional to μ1μ − 1.