If an object is placed unsymmetrically between two plane mirrors inclined at an angle of 72°, then the total number of images formed is

1. Break Down the Problem

To determine the total number of images formed by two plane mirrors inclined at an angle $\theta$, we will use the formula: $n = \frac{360}{\theta} - 1$ where $n$ is the number of images formed, and $\theta$ is the angle between the mirrors.

2. Relevant Concepts

• The angle $\theta = 72^\circ$ is given.
• We will apply the formula for calculating the number of images.

3. Analysis and Detail

Using the given angle, we can substitute $\theta$ into our formula: $n = \frac{360}{72} - 1$

4. Verification and Summary

Calculating $\frac{360}{72}$: $\frac{360}{72} = 5$ Then, substituting back into the formula: $n = 5 - 1 = 4$

Final Answer

The total number of images formed is $4$.