Question

Difficulty: MediumReflection of Light at Plane and Curved Mirrors

For any real object positioned in front of a convex spherical mirror, the image formed is always virtual, upright, and diminished, located between the pole and the principal focus.

Answer: Answer

Answer

The statement is true. A convex mirror always produces a virtual, erect, and diminished image positioned between the pole and the focus for any real object placed in front of it.
The statement accurately expresses the fundamental optics rule for convex mirrors: reflecting surface geometry causes incident parallel rays to diverge, producing a virtual, erect, and diminished image located between the mirror's pole and principal focus for all real object positions.

Step-by-Step Solution

1
Analyze ray tracing principles for a convex mirror.
Ray 1, traveling parallel to the principal axis, reflects such that it appears to originate from the principal focus FF behind the mirror. Ray 2, directed toward the center of curvature CC, reflects back along its original path.
Tracing these rays determines where their virtual extensions intersect.
2
Determine the location and characteristics of the virtual intersection.
The backward extensions of the reflected rays intersect behind the reflecting surface between the pole PP and the principal focus FF.
Since the light rays diverge and only their extensions meet, the image formed is virtual, erect, and diminished.

Key Concept

Image characteristics of convex spherical mirrors
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