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Images formed by a pair of plane mirrors

Physics Asked by ghosts_in_the_code on December 17, 2020

I’ve been taught that if a point-sized object is placed between two plane mirrors at an angle theta with each other, then the number of images formed is 360°/theta or 360°/theta – 1 depending as 360/theta is even or odd.

Moreover if 360°/theta is non-integral, we simply floor the value. So if say the angle between the mirrors is 65°, we will get floor(360/65) = 5 images.

However on actually drawing the figure, I’m easily able to obtain 6 images, and probably more too.Plane mirrors at 65° with 6 images

If the formula is erroneous, what is the correct formula?

P.s. this is definitely not a homework question. Even some books ive seen have published the formula floor(360/theta)

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