Explain the formula to find the number of images formed when an object is placed in between two plane mirrors inclined at an angle θ.

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Explain the formula to find the number of images formed when an object is placed in between two plane mirrors inclined at an angle θ.

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1. If an object is kept between two plane mirrors inclined at an angle θ, multiple images (N) are formed due to multiple reflections from both the mirrors.

2. The number of images can be calculated using formula n = $\frac{360}{\theta}$

3. Exact number of images seen (N) depends upon the angle between the mirrors and position of the object.

4. When n is an even integer, for all positions of the object the number of images formed are N = n – 1.

5. When n is an odd integer:

a. For an object placed at the angle bisector of the mirrors: N = n - 1

b. For an object placed off the angle bisector of the mirrors: N = n

6. If n is not an integer, N = m, where m is integral part of n.