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If an object is placed unsymmetrically b...

If an object is placed unsymmetrically between two plane mirrors, inclined at the angle of `60^(@)`, then the total number of images formed is

A

5

B

4

C

2

D

infinite

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of determining the total number of images formed by two plane mirrors inclined at an angle of \(60^\circ\) when an object is placed unsymmetrically, we can follow these steps: ### Step-by-Step Solution: 1. **Understand 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: \[ N = \frac{360^\circ}{\theta} - 1 \] where \(N\) is the total number of images formed. 2. **Substitute the Given Angle**: In this case, the angle \(\theta\) is \(60^\circ\). We can substitute this value into the formula: \[ N = \frac{360^\circ}{60^\circ} - 1 \] 3. **Calculate the Value**: Now, perform the division: \[ N = 6 - 1 \] Thus, we find: \[ N = 5 \] 4. **Conclusion**: Therefore, the total number of images formed when the object is placed unsymmetrically between the two mirrors is \(5\). ### Final Answer: The total number of images formed is **5**. ---
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