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Question

(A) When a plane mirror is rotated by an angle $\delta$ about an axis in its plane,the normal to the mirror also rotates by the same angle $\delta$.Le

Vedclass · Accepted Answer

$2 \delta$

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(A) When a plane mirror is rotated by an angle $\delta$ about an axis in its plane,the normal to the mirror also rotates by the same angle $\delta$.Let the angle of incidence be $i$. The angle of reflection is also $i$.When the mirror rotates by $\delta$,the new angle of incidence becomes $i \pm \delta$ (depending on the direction of rotation).The new angle of reflection will also be $i \pm \delta$.The change in the direction of the reflected ray is the difference between the new angle of reflection and the original angle of reflection relative to the incident ray.Mathematically,it is a standard result in optics that if a plane mirror is rotated by an angle $\delta$,the reflected ray rotates by an angle $2 \delta$ in the same direction.

$A$ laser beam is incident on a plane mirror at some angle and results in a reflected beam. The mirror is now rotated by an angle $\delta$ while the direction of the incident laser beam is kept the same. The angle between the new reflected beam and the reflected beam before the mirror was rotated is

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