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 \(72^\circ\) with an object placed asymmetrically between them, we can follow these steps:

### Step 1: Understand the Formula
The formula to calculate the number of images formed by two plane mirrors inclined at an angle \( \theta \) is given by:
\[ n = \frac{360^\circ}{\theta} \]
where \( n \) is the number of images formed.

### Step 2: Substitute the Given Angle
In this case, the angle \( \theta \) is \( 72^\circ \). We can substitute this value into the formula:
\[ n = \frac{360^\circ}{72^\circ} \]

### Step 3: Calculate the Value of \( n \)
Now, we perform the division:
\[ n = \frac{360}{72} = 5 \]

### Step 4: Determine the Number of Images
Since the object is placed asymmetrically between the mirrors, the number of images formed will be equal to \( n \):
\[ \text{Number of images} = n = 5 \]

### Conclusion
Thus, the total number of images formed is \( 5 \).