First slide

Ray optics

Question

Two plane mirrors ${OM}_{1}$ and ${OM}_{2}$ are inclined to each other such that angle between them is ‘A’. A beam of parallel rays are incident on them as shown in figure. Then the angle between the reflected rays is

Moderate

A

A
B

2A
C

3A
D

4A

Solution

By Law of reflection,
$∠ OPA = ∠ RPQ = A / 2$
$∴ Angle between reflected rays$
$∴ = (\frac{A}{2} + \frac{A}{2}) \times 2 = 2 A$

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