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[(Session 9.3)] Two plane mirrors are joined together along one edge. As the angle
between them decreases, the number of images is found to be varying. But, there is
a definite formula for the number of images for any given angle. Research it and try
to derive it.
Answers
Explanation:
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.
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=
A
360
−1
The number of images formed n=
A
360
−1, if
A
360
is an even integer.
If
A
360
is odd integer, the number of images formed n=
A
360
−1 when the object is kept symmetrically, and n=
A
360
when object is kept asymmetrically.
If
A
360
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