यदि दो समतल दर्पण `90^(@)` के कोण पर रखे हो तो उनके मध्य कितने प्रतिबिम्ब बनेंगे

Options

A. a. 4
B. b. 5
C. c. 6
D. d. 3

Answer

**Step-by-Step Solution:**

1. **Understanding the Problem**: We have two plane mirrors placed at an angle of \(90^\circ\) to each other. We need to find out how many images (or reflections) will be formed between these two mirrors.

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

3. **Substituting the Angle**: In our case, \(\theta = 90^\circ\). Now we can substitute this value into the formula:
\[ n = \frac{360^\circ}{90^\circ} - 1 \]

4. **Calculating the Value**: Now we perform the calculation:
\[ n = 4 - 1 = 3 \]

5. **Conclusion**: Therefore, the number of images formed by the two mirrors placed at \(90^\circ\) is \(3\).

6. **Final Answer**: The correct option is \(D\) which states that there are \(3\) images.

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