It is desired to obtain an erect image of an object, using concave mirror of focal length of 12 cm.
(i) What should be the range of distance of an object placed in front of mirror ?
(ii) Will the image be smaller or large than the object ? Draw a ray diagram to show the formation of image in this case.
(iii) Where will the image of this object be, if it is placed 24 cm in front of the mirror ? Draw a ray diagram for this situation also to justify your answer.
Show the positions of the pole, the principal focus and the centre of curvature in the above ray diagrams.

Explanation

To solve the question step by step, we will break it down into its parts as follows:

### Part (i): Range of Distance of the Object

1. **Understanding the Concave Mirror**: A concave mirror can produce an erect image only when the object is placed between the focus (F) and the mirror (P). The focal length (F) is given as -12 cm (negative because it is a concave mirror).

2. **Identifying the Range**:
- The focus (F) is at -12 cm.
...