Two Plane Mirrors Are Inclined To Each Other Such That A Ray Of Light Incident On The First Mirror And Parallel To The Second Is Reflected From The Second Mirror Parallel To The First Mirror The Angle Between The Two Mirrors Is

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Question

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror the angle between the two mirrors is

30^o
45^o
60^o
75^o

medium

Solution

Correct option is

60^o

Refer to fig.

Let θ bet he angle between the two mirrors OM₁ and OM₂. The incident ray AB is parallel to mirror OM₂ and strikes the mirror OM₁ at an angle of incidence equal to α. It is reflected along BC; the angle of reflection being α. Form fig. We have

Similarly for reflection at mirror OM₂, we have

Now in triangle OBC; 3θ = 180^o. Therefore

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