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A light bulb is placed between two mirro...

A light bulb is placed between two mirrors (plane) inclined at an angle of `60^@` . Number of a real images. images formed are

A

2

B

4

C

5

D

6

Text Solution

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The correct Answer is:
To solve the problem of finding the number of real images formed by two plane mirrors inclined at an angle of \(60^\circ\), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have two plane mirrors inclined at an angle of \(60^\circ\). - A light bulb (the object) is placed between these two mirrors. 2. **Using the Formula for Number of Images**: - The formula to calculate the number of images formed by two mirrors inclined at an angle \(\theta\) is given by: \[ N = \frac{360^\circ}{\theta} - 1 \] - Here, \(N\) is the number of images and \(\theta\) is the angle between the mirrors. 3. **Substituting the Angle**: - In this case, \(\theta = 60^\circ\). - Plugging this value into the formula: \[ N = \frac{360^\circ}{60^\circ} - 1 \] 4. **Calculating the Number of Images**: - First, calculate \(\frac{360^\circ}{60^\circ}\): \[ \frac{360}{60} = 6 \] - Now, substituting back into the formula: \[ N = 6 - 1 = 5 \] 5. **Conclusion**: - Therefore, the number of real images formed by the two mirrors is \(5\). ### Summary: The number of real images formed by a light bulb placed between two mirrors inclined at an angle of \(60^\circ\) is \(5\).
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