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A plano convex lens of focal length 12 cm is made from glass $(μ = 3 / 2)$ . It is to be used in air. Then radius of the curved surface is

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4 cm

8 cm

6 cm

24 cm

answer is C.

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Detailed Solution

$f = 12 cm, R_{1} = R_{2} R_{2} = \infty, μ = \frac{3}{2}$

$\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

$\frac{1}{12} = (\frac{3}{2} - 1) (\frac{1}{R_{1}} - \frac{1}{\infty})$

$\frac{1}{12} = \frac{1}{2} \times \frac{1}{R} [∴ \frac{1}{\infty} = 0]$

$R = \frac{12}{2} = 6$

$R = 6 cm$

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