What will happen to the no of images if we place the two mirrors at 45 degree angle to each other?

Depending on the angle between them, you will get multiple reflections of any object between the mirrors. If the mirrors meet at an angle of x degrees, an object placed between them should generate a maximum of (360/n) - 1 images. Parallel mirrors should, on that basis, produce an infinite number of images but because of microscopic flaws in the mirror, absorption, internal refraction etc, the images will degrade more or less exponentially.

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What will happen to the no of images if we place the two mirrors at 45 degree angle to each other?

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What will happen to the no of images if we place the two mirrors at 45 degree angle to each other?

CONCEPT:

  • If 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.

\({\rm{Number\;of\;images}} = \frac{{360}}{θ } - 1\)

For example:

If θ = 60° then n = 5. So 5 images will be formed which can be seen in given diagram.

What will happen to the no of images if we place the two mirrors at 45 degree angle to each other?

CALCULATION:

Given that:

θ = 45° 

\({\rm{Number\;of\;images}} = \frac{{360}}{θ } - 1\)

Number of images (n) = (360/45) - 1 = 8 - 1 = 7

So option 3 is correct.

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