Two plane mirrors $$M1$$ and $$M2$$ make an angle of $$30o$$ with each other. A ray of light strikes $$M1$$ at an angle of $$45o$$ as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be

Question

Two plane mirrors $$M1$$ and $$M2$$ make an angle of $$30o$$ with each other. A ray of light strikes $$M1$$ at an angle of $$45o$$ as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be

Infinity Learn · Accepted Answer

At point B, angle of incidence $$i1=90o$$−$$45o=45o$$.∴ Angle of deviation δ$$1=180o$$−$$2i1=90o$$ clockwiseNow ∠$$OCB=180o$$−$$30o$$−$$45o=105o$$∴ At C, angle of incidence, $$i2=105o$$−$$90o=15o$$∴ δ$$2=180o$$−$$2i2=150o$$ anticlockwise∴ δ$$net=$$δ$$2$$−δ$$1=150o$$−$$90o=60o$$ anticlockwise

Two plane mirrors $M_{1} and M_{2}$ make an angle of 30^o with each other. A ray of light strikes M₁ at an angle of 45^o as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be

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Two plane mirrors M1 and M2 make an angle of 30o with each other. A ray of light strikes M1 at an angle of 45o as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be

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Two plane mirrors $M_{1} and M_{2}$ make an angle of 30^o with each other. A ray of light strikes M₁ at an angle of 45^o as shown in figure. Then after two successive reflections at the mirror, total angle of deviation of the reflected ray will be