How many images will be formed if the angle between two mirrors is `60^@`?

Options

A. Two
B. Three
C. Five
D. Seven

Answer

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

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

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

### Step-by-Step Solution:

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

2. **Substitute the angle into the formula**:
We will substitute \(\theta = 60^\circ\) into the formula:
\[ n = \frac{360}{60} - 1 \]

3. **Calculate \( \frac{360}{60} \)**:
Performing the division:
\[ \frac{360}{60} = 6 \]

4. **Subtract 1 from the result**:
Now we subtract 1 from 6:
\[ n = 6 - 1 = 5 \]

5. **Conclusion**:
Therefore, the number of images formed when the angle between the two mirrors is \(60^\circ\) is \(5\).

### Final Answer:
5 images will be formed.

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