Question

Under what condition in an arrangement of two plane mirrors, incident ray and reflected ray will always be parallel to each other, whatever may be angle of incidence .Show the same with the help of a labelled diagram.

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Answer 1

Answer:

Incident ray and reflected ray will always be parallel to each other if two plane mirrors are placed perpendicular to each other as shown in figure.

Answer 2

In Triangle ABC we know that the sum of all measure is 180°

( 90 - r ) + ( 90 - i ) + B = 180° ..... (1)

we know that 2 parallel ray which are opposite to each other the angle is 180°

I + r + i + r = 180

2 (i + r) = 180

(i + r) = 90°.... (2)

$\cancel{90 }+ r + \cancel{90} + i + b = \cancel{18}0$

-(r + i ) = - B

B =( r + i)... (3)

From equation (2) and (3)

$\beta = 90$