First slide

Ray optics

Question

At what distance from a convex mirror of focal length 2.5 m should a boy stand so that his image has a height equal to half the original height ?

Moderate

A

2.5 m from the mirror
B

5 m from the mirror
C

7.5 m from the mirror
D

10 m from the mirror

Solution

$m = \frac{1}{2}, \frac{I}{O} = \frac{v}{u} = \frac{1}{2}; v = u / 2 \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \frac{1}{2.5} = \frac{2}{u} + \frac{1}{- u} = u = 2.5 cm From mirror .$

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