A man holds a spherical shaving mirror of radius of curvature $60 \mathrm{cm}$, and focal length $30 \mathrm{cm}$, at a distance of $15 \mathrm{cm}$, from his nose. Find the position of image, and calculate the magnification.

An object is placed just outside the principal focus of concave mirror.

(a) Draw a ray diagram to show how the image is formed, and describe its size, position and nature.

(b) If the object is moved further away from the mirror, what changes are there in the position and size of the image?