An object is placed asymmetrically between two plane mirrors inclined at an angle of `72^(@)`. The number of images formed is

Options

A. 5
B. 4
C. 2
D. Infinite

Answer

To solve the problem of finding the number of images formed by two plane mirrors inclined at an angle of \(72^\circ\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We have two plane mirrors inclined at an angle of \(72^\circ\) and an object placed asymmetrically between them. We need to find the number of images formed.

2. **Use the Formula for Number of Images**: The formula to calculate the number of images (\(n\)) formed by two mirrors inclined at an angle \(\theta\) is given by:
\[ n = \frac{360^\circ}{\theta} - 1 \]

3. **Substitute the Given Angle**: In this case, \(\theta = 72^\circ\). Substitute this value into the formula:
\[ n = \frac{360^\circ}{72^\circ} - 1 \]

4. **Calculate the Division**: Perform the division:
\[ \frac{360^\circ}{72^\circ} = 5 \]

5. **Subtract 1 from the Result**: Now, subtract 1 from the result obtained:
\[ n = 5 - 1 = 4 \]

6. **Conclusion**: Therefore, the number of images formed is \(4\).

### Final Answer:
The number of images formed is \(4\).

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