Two Plane mirrors inclined at angle 20 degrees find no.of images images formed
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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= 360/A - 1
The number of images formed n=(360/A)-1, if (360/A) is even integer.If (360/A) is odd integer, the number of images formed n=(360/A)-1 when the object is kept symmetrically, and n=(360/A) when object is kept asymmetrically.
If (360/A) 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.
Here, the angle A between the mirrors is 40 degrees.
Case (a): The object is symmetrically placed.
The number of images formed = (360/40)-1, we get 8 images.
Case (b): The object is asymmetrically placed.
The number of images formed = (360/40), we get 9 images.
Hence, the number of images formed are 8 and 9 respectively.
Two plane mirror A and B are oriented perpendicular to each other. A light ray incident at angle θ on mirror A is also reflected by the mirror B. If the reflected ray from mirror B is parallel to the incident ray on A, such that the ray reflected from the first mirror as the same angle of incidence on the second mirror then find the value of θ.
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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M
1
) and parallel to the second mirror (M
2
) is finally reflected from the second mirror (M
2
) parallel to the first mirror (M
1
No. of images = 360⁰/angle between mirrors -1
= 360⁰/20⁰-1
= 18-1
=17