A short linear object is placed at a distance u along the axis of a spherical mirror of focal length f.
a. Obtain an expression for the longitudinal magnification.
b. Also, obtain an expression for th eration of the velocity of image (v) to the velocity of the object (u).

Explanation

To solve the problem step-by-step, we will break it down into two parts as requested:

### Part a: Obtain an expression for the longitudinal magnification.

1. **Understanding the Mirror Equation**:
The mirror equation relates the object distance (u), the image distance (v), and the focal length (f) of a spherical mirror. The equation is given by:
\[
\frac{1}{f} = \frac{1}{v} + \frac{1}{u}
...