First slide

Ray optics

Question

The power of a biconvex lens is 10 dioptre and the radius of curvature of each surface is 10 cm. Then the refractive index of the material of the lens is,

Moderate

A

$\frac{3}{2}$
B

$\frac{4}{3}$
C

$\frac{9}{8}$
D

$\frac{5}{3}$

Solution

$\begin{array}{l} \frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}}) \\ as P = \frac{1}{f (in m)} \\ 10 = (μ - 1) (\frac{1}{0 .10} + \frac{1}{0 .10}) \\ (μ - 1) = \frac{1}{2} \\ μ = \frac{3}{2} \end{array}$

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