(a) (i) Draw a ray diagram for the formation of the image of an object by a convex mirror. Hence, obtain the mirror equation. (ii) Why are multi-component lenses used for both the objective and the eyepiece in optical instruments? (iii) The magnification of a small object produced by a compound microscope is $200$. The focal length of the eyepiece is $2 \text{ cm}$ and the final image is formed at infinity. Find the magnification produced by the objective.