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(D) When a light ray undergoes two successive reflections from two plane mirrors inclined at an angle $	heta$,the total deviation $\delta$ produced i

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$90$

Vedclass · Answer

(D) When a light ray undergoes two successive reflections from two plane mirrors inclined at an angle $	heta$,the total deviation $\delta$ produced is given by the formula $\delta = 360^{\circ} - 2	heta$.In this problem,the emergent ray is parallel to the incident ray,which means the total deviation $\delta$ is $180^{\circ}$.Substituting this value into the formula:$180^{\circ} = 360^{\circ} - 2	heta$Rearranging the terms to solve for $	heta$:$2	heta = 360^{\circ} - 180^{\circ}$$2	heta = 180^{\circ}$$	heta = 90^{\circ}$Therefore,the angle between the mirrors must be $90^{\circ}$ for the reflected ray to be parallel to the incident ray.

Similar Questions

$A$ boy of height $1.5\, m$ with his eye level at $1.4\, m$ stands before a plane mirror of length $0.75\, m$ fixed on the wall. The height of the lower edge of the mirror above the floor is $0.8\, m$. Then:

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