9303753286127016 Two plane mirrors are inclined at an angle θ. A ray of light is reflected from the first mirror and is then incident on the second mirror from which it is again reflected. What is deviation of incident ray?

Two plane mirrors are inclined at an angle θ. A ray of light is reflected from the first mirror and is then incident on the second mirror from which it is again reflected. What is deviation of incident ray?

 A mirror with a flat surface is a plane mirror that reflects light and produces a virtual image without the interference of an inward or outward curve is called a plane mirror.

Solution

As per the figure 

Let us assume the two incident angles

∠BAD=x

∠ABD=y 

We observe that
⇒∠OBA=90−y

∠OAB=90−x
ΔOAB=>θ+90−y+90−1=180
⇒x+y=θ
Total deviation is 2(90−x)+2(90−y)
=360−2(x+y)
=360−2θ

Answer

The deviation of incident ray =360−2θ

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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