Draw a ray diagram in each of the following cases to show the position and nature of the image formed when object is placed :

(a) Draw a ray diagram in each of the following cases to show the position and nature of the image formed when object is placed :
(i) between focus and centre of curvature of a concave minor.
(ii) between focus and pole of a concave minor.
(iii) between centre of curvature and infinity for a concave minor.
(b) Give mathematical formulae for determining magnification produced by a spherical minor. What does m = -1 signify? Identify the minor that can produce it.

(a) The ray diagrams are as shown :

(b) Magnification (m) = height of image, height v
of object = v/u,m = - 1 signifies :
(i) size of image = size of object.
(ii) Negative sign indicates that the image is real and inverted. A concave mirror when object is at centre of curvature.