Two plane mirrors are arranged perpendicular to each other . If a light ray is incident at `30^(@)` on one of the plane mirrors of above arrangement , then find
(a) Angle of reflection at the second plane mirror.
(b) Angle of deviation at both the mirrors.
(c) Number of images that we can observe when one plane mirror is rotated by `30^(@)` towards the other.

Answer

`(a) 60^(@) (b) 120^(@),60^(@) (c) 5`

Explanation

(a) Angle of reflection at the second plane mirror =`60^(@)`
(b) Angle of deviatioin at `M_(1)=180-2i`
`" "=180-2(30)`
`" "=120^(@)`
Angle of deviation at `M_(2)=180-2i`
`" "=180-2(60)`
`" "=180-120=60^(@)`
(c)
Number of images `=(360)/(theta)-1=(360)/(60)-1=5`