Question

Which of the following statements are correct?
(A) All mirrors follow the laws of reflection.
(B) The angle between the ray of incidence and the plane surface of the mirror is equal to the angle between the plane surface of mirror and the ray of reflection for plane mirror
(C) the rays coming parallel to the principal axis will go after reflection through the focus of the curved mirror
(D) the rays coming to the pole of a curved mirror making an angle with axis will be reflected making the equal angle with the axis on the other side of the axis.
Choose the correct answer from the options given below:

• A. (A), (B), (C) and (D)
• B. (A), (C) and (D) only
• C. (A), (B) and (C) only
• D. (B), (C) and (D) only

Hint:

Be careful with the precise wording of laws and definitions in physics. The laws of reflection are formally defined using the angle to the normal. While the grazing angles (to the surface) are also equal as a consequence, a question might test your knowledge of the formal definition.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This question assesses the understanding of the fundamental laws and principles of reflection as applied to plane and curved mirrors. We need to evaluate the correctness of each statement.

Step 2: Detailed Explanation:
(A) All mirrors follow the laws of reflection.
This is the fundamental principle of geometric optics for mirrors. The laws of reflection (angle of incidence equals angle of reflection; incident ray, reflected ray, and normal lie in the same plane) apply to any reflection, whether from a plane or a curved surface. This statement is correct.
(B) The angle between the ray of incidence and the plane surface of the mirror is equal to the angle between the plane surface of mirror and the ray of reflection for plane mirror.
(C) the rays coming parallel to the principal axis will go after reflection through the focus of the curved mirror.
This is a standard rule used in ray tracing. It is the definition of the principal focus for a concave mirror. For a convex mirror, parallel rays appear to diverge from the principal focus located behind the mirror. The wording "will go after reflection through the focus" is strictly true only for concave mirrors. However, it is often stated as a general property in introductory texts. This is a key principle for image formation. This statement is generally considered correct in the context of ray diagram rules.
(D) the rays coming to the pole of a curved mirror making an angle with axis will be reflected making the equal angle with the axis on the other side of the axis.
For any spherical mirror, the principal axis is normal to the mirror at the pole. Therefore, a ray incident at the pole will reflect such that the angle of incidence equals the angle of reflection, with the principal axis acting as the normal. This statement is correct.

Step 3: Final Answer:
Assuming the question prioritizes the formal rules and definitions used in ray optics, statements (A), (B), (C), and (D) represent these fundamental principles.