First slide

Ray optics

Question

You are asked to design a shaving mirror assuming that a person keeps it 10cm from his face and views the magnified image of the face at the closest comfortable distance of 25cm. The radius of curvature of the mirror would then be :

Moderate

A

24cm
B

30cm
C

-24cm
D

60cm

Solution

$\frac{1}{f} = \frac{1}{v} + \frac{1}{u} \frac{1}{- f} = \frac{1}{- 10} - \frac{1}{- 15}, f = 30 cm; R = 2 f = 60 cm$

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