The number of images formed by two plane mirrors inclined at `60^@` of an object placed symmetrically between mirror is

Options

A. 6
B. 7
C. 5
D. infinite

Answer

To determine the number of images formed by two plane mirrors inclined at an angle of \(60^\circ\) with an object placed symmetrically between them, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula**: The formula to calculate the number of images formed by two plane mirrors inclined at an angle \(\theta\) is given by:
\[ N = \frac{360^\circ}{\theta} - 1 \]
where \(N\) is the number of images and \(\theta\) is the angle between the two mirrors.

2. **Substitute the Angle**: In this case, the angle \(\theta\) is \(60^\circ\). Substitute this value into the formula:
\[ N = \frac{360^\circ}{60^\circ} - 1 \]

3. **Calculate the Division**: Perform the division:
\[ N = 6 - 1 \]

4. **Final Calculation**: Now, subtract 1 from 6:
\[ N = 5 \]

5. **Conclusion**: Therefore, the number of images formed by the two mirrors is \(5\).