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Focal length ...

Question

Focal length of the plano-convex lens is when its radius of curvature of the surface is
R and n is the refractive index of the lens.

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Solution

The lens maker's formula is:
$\frac{1}{f} = (μ_{r} - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

Here: $μ_{r} = n R_{1} = R R_{2} = \infty$
Thus: $\frac{1}{f} = (n - 1) (\frac{1}{R} - \frac{1}{- \infty}) \frac{1}{f} = (n - 1) (\frac{1}{R} + 0) f = \frac{R}{n - 1}$

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