Reflection by Spherical Mirrors: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Reflection by Spherical Mirrors. Understanding the underlying formula is key to arriving at the correct answer below:

Using the mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$ . For a concave mirror, object distance $u = -1.5f$ and focal length is $-f$ . Substituting these values gives $\frac{1}{v} + \frac{1}{-1.5f} = \frac{1}{-f}$ , which implies $\frac{1}{v} = \frac{1}{1.5f} - \frac{1}{f} = \frac{1 - 1.5}{1.5f} = \frac{-0.5}{1.5f} = \frac{-1}{3f}$ . Thus, $v = -3f$ .