Question

When two mirrors are kept at an angle of 10° and the number of images formed is 35, then how is the number of images formed increased to infinity while the mirrors are kept at an angle of 0°. How is the number of images formed decreased so much just in a gap of 10°.

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Answer 1

Explanation:

The reason is that we find the number of images by the formula

(360/theta)-1

So, by taking theta as 0,

we get

(360/0)-1

or Not defined

But as the number of images can't be Not defined

So, we take it as infinity.

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Answer 2

Formula for number of images formed by two plane mirrors incident at an angle θ is n = 360°/θ .

If n is even, the number of images is n-1, if n is an odd number of images.

Now, when θ is 0°

n = (360°/0°)-1

n = Not defined / or / infinity.

When the two mirrors are aligned at a 0-degree angle with each other (i.e., a parallel mirror system), there is an infinite number of images.

If you start with two mirrors at an angle with each other, and there’s a hinge (axis of rotation) to vary the angle till you get down to zero, the distance is also zero. Then the answer is simple. No light can get in and no images will be formed.

But if there’s some distance between them, the each mirror will form an image of the other. But the image of a mirror in a mirror will also behave like a mirror. So it will also add a reflected image - which also contains a mirror. This repeated reflection goes on forever in principle. So an infinite number of images are formed.

In reality, some light is lost with each reflection. It’s never perfectly 100% reflected. So each successive image gets darker and darker until you cannot detect it.