Question

An object is placed between centre of curvature and infinity in front of a concave mirror. Draw ray diagram for image.

Hint:

Object beyond C in a concave mirror gives an image between F and C. Use the parallel-ray-through-F and the ray-through-C to locate it.

Answer 1

Step 1: Fix the geometry.
The object lies between the centre of curvature (C) and infinity, i.e. beyond C. For a concave mirror the pole (P), focus (F) and centre of curvature (C) sit on the principal axis with \(PF = f\) and \(PC = 2f\).
Step 2: Draw the standard rays.
(a) A ray from the top of the object travelling parallel to the principal axis reflects and passes through the focus F.
(b) A ray from the top of the object passing through the centre of curvature C strikes the mirror normally and retraces its own path.
Step 3: Locate the image.
The two reflected rays meet on the same side as the object, between F and C. Therefore the image is formed between F and C.
Step 4: Describe the image.
The image is real, inverted and diminished (smaller than the object).
Ray diagram (described): object arrow beyond C; one ray parallel to axis reflecting through F; second ray through C retracing back; their intersection between F and C gives the small inverted image.
\[\boxed{\text{Image between F and C: real, inverted, diminished}}\]