A spherical mirror forms an erect and diminished image. Identify the correct statement(s) about the spherical mirror:
(A) The mirror is concave.
(B) The mirror forms a virtual image.
(C) The mirror has positive focal length.

Correct option is C

​The correct answer is (C) Both B and C.

Explanation:

1. The mirror forms an erect and diminished image:
• A convex mirror always forms an erect and diminished image of the object.
• A convex mirror forms a virtual image, meaning the image cannot be projected onto a screen.
2. Statement (A): The mirror is concave:
• This is incorrect because a concave mirror can form an erect image only when the object is placed within the focal length, and such an image will be enlarged, not diminished.
3. Statement (B): The mirror forms a virtual image:
• This is correct because a convex mirror always forms a virtual image regardless of the object's position.
4. Statement (C): The mirror has positive focal length:
• Convex mirrors have a positive focal length by convention in the mirror formula.