Use the following information to answer the next question- Arun has a combination of two plane mirrors- M 1 and M 2- The mirrors are placed at an angle - with each other- as shown in the given figure- A light ray is incident on M 1- with the incident angle being 20-For what value of - will angle be 30- -A- 80-B- 25-C- 45-D- 90-

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Laws of Reflection

Use the follo...

Question

Use the following information to answer the next question.

Arun has a combination of two plane mirrors, M₁ and M₂. The mirrors are placed at an angle θ with each other, as shown in the given figure.

A light ray is incident on M₁, with the incident angle being 20°.

For what value of , will angle be 30°?

25°

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45°

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80°

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90°

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Solution

The correct option is C
80°

The angle of incidence is always equal to the angle of reflection. Hence the given situation can be shown as:

∠PQX = ∠XQS = 20°

Since XQ is the normal to mirror M₁, ∠SQR = 90° − 20° = 70°

It is given that ∠TSF = = 30°

Since YS is normal to mirror M₂, ∠YST = 90° − 30° = 60°

∴ ∠QSY = ∠YST = 60°

Again, ∠QSR = 90° − ∠YSQ = 90° − 60° = 30°

In triangle ΔRQS:

θ + 70° + 30° = 180°

∴θ = 180° − 100° = 80°

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Similar questions

Use the following information to answer the next question.

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If OP₁ = OP₂, then the angle of reflection of the ray at P₂ will be

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