Two plane mirrors are inclined at an angle of `60^(@)`. An object is placed between the mirrors. The number of images formed by the two mirrors is

Options

A. 4
B. 6
C. 5
D. 7

Explanation

To find the number of images formed by two plane mirrors inclined at an angle of \(60^\circ\), we can use the formula for the number of images formed by two mirrors:

\[ N = \frac{360}{\theta} - 1 \]

where \(N\) is the number of images and \(\theta\) is the angle between the two mirrors.

### Step-by-Step Solution:

1. **Identify the angle between the mirrors**:
The angle between the two mirrors is given as \(60^\circ\).

2. **Determine if the angle is odd or even**:
Since \(60\) is an even number, we will use the formula for even angles.

3. **Apply the formula**:
Substitute \(\theta = 60\) into the formula:
\[ N = \frac{360}{60} - 1 \]

4. **Calculate the value**:
First, calculate \(\frac{360}{60}\):
\[ \frac{360}{60} = 6 \]
Now, subtract \(1\):
\[ N = 6 - 1 = 5 \]

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

### Final Answer:
The number of images formed by the two mirrors is \(5\).