The mirror are inclined at angle of `50^(@)`. The number of images formed for an object placed in between the mirrors is

Options

A. 5
B. 6
C. 7
D. 8

Explanation

To find the number of images formed by two inclined mirrors, 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 \( \theta = 50^\circ \).

2. **Substitute the angle into the formula**:
We will substitute \( \theta \) into the formula for the number of images:
\[ n = \frac{360}{50} - 1 \]

3. **Calculate \( \frac{360}{50} \)**:
Performing the division:
\[ \frac{360}{50} = 7.2 \]

4. **Subtract 1 from the result**:
Now, we subtract 1 from 7.2:
\[ n = 7.2 - 1 = 6.2 \]

5. **Determine the number of images**:
Since the number of images must be a whole number, we take the integer part:
\[ n = 6 \]

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

### Final Answer:
The number of images formed is **6**.

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