A light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror as shown.The angle between the two mirrors is 60.Find the angle theta?

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A light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror as shown.The angle between the two mirrors is 60.Find the angle theta?

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?A light ray is incident on a plane mirror, which after getting reflec...

Figure shows two plane mirrors kept at angle 60�. A light ray incidents at A making an angle of incidence α,

reflected and again incidents at B making an angle β and getting reflected .

Reflected ray from B makes angle θ with the initial incident ray.

At reflection point A, as shown in figure, we have α+x = 90degree ....(1)

At reflection point B, as shown in figure, we have β+y = 90degree ....(2)

By adding (1) and (2), after substituting x+y = 120degree, we get, α+β = 60degree....(3)

From ΔABC, we have, 2α + 2β + θ = 180degree ....(4)

Hence By using eqn.(3), we get , θ = 180 - 120 = 60degree

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?A light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror as shown.The angle between the two mirrors is 60.Find the angle theta?

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