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Question

# Two plane mirrors are placed making an angle θ in between them. What is the expression for the number of images formed of an object placed in between the mirrors?

A
n if n=360θ is odd and object is asymmetrically placed
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B
n1 if n=360θ is even, or odd and object is symmetrically placed.
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C
Both A & B
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D
None
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Solution

## The correct option is C Both A & BIf the image of an object is viewed in two plane mirrors that are inclined to each other, more than one image is formed. The number of images depends on the angle between the two mirrors.The number of images formed in two plane mirrors inclined at an angle A to each other is given by the below formula.Number of images n=360A−1The number of images formed n=360A−1, if 360A is an even integer.If 360A is odd integer, the number of images formed n=360A−1 when the object is kept symmetrically, and n=360A when object is kept asymmetrically.If 360A is a fraction, the number of images formed is equal to its integral part.As the angle gets smaller (down to 0 degrees when the mirrors are facing each other and parallel) the smaller the angle the greater the number of images.

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