This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
60 degrees
Step 1: Identify the given angle of rotation for the mirror. The mirror is rotated through an angle of . Let this be .
Step 2: Recall the relationship between the rotation of a plane mirror and the rotation of the reflected ray when the incident ray is fixed. When a plane mirror is rotated by an angle about an axis in its plane, and the incident ray is kept fixed, the reflected ray rotates by an angle in the same direction.
Step 3: Calculate the rotation of the reflected ray. The angle of rotation of the reflected ray is .
The reflected ray would rotate by .
The final answer is .
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Identify the given angle of rotation for the mirror. The mirror is rotated through an angle of 30^.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.