If the incident ray striking the reflecting surface is rotated by an angle of 30 degrees clockwise then reflected ray is rotated by an angle of?

Break Down the Problem

1. Identify the relationship between the angle of incidence and the angle of reflection, according to the law of reflection.
2. Understand how rotating the incident ray affects the reflected ray.

Relevant Concepts

1. Law of Reflection: The angle of incidence ($i$) is equal to the angle of reflection ($r$).
2. If the incident ray rotates, both the angle of incidence and the angle of reflection will change by the same amount.

Analysis and Detail

1. Let the initial angle of incidence be $i$.
2. If the incident ray is rotated 30 degrees clockwise, the new angle of incidence becomes $i' = i - 30^\circ$.
3. According to the law of reflection, the new angle of reflection will also be $r' = i'$.
4. Since the original angle of reflection was $r = i$, the new angle of reflection will then be $r' = i - 30^\circ$.

Verify and Summarize

• Since the initial and final angles of incidence and reflection are affected equally, we can say that the reflected ray is also rotated 30 degrees clockwise.

Final Answer

Thus, the reflected ray is rotated by an angle of 30 degrees.