Question

Two mirrors are set up at an angle of 90.0°. If light is incident on the first mirror at an angle of 34.6° from the normal, at what angle is it incident on the second mirror? ________° from the normal of the second mirror

Answer 1

angle of incidence for the second mirror is 55.4 degree

Step-by-step explanation:

Given data;

Angle between two mirror is 90 degree

Incident angle on first mirror is 34.6 degree

For first mirror

Angle of incidence is equal to angle of reflection

34.6 degree = angle of reflection

`r_1 = 42.5 degree`

Now , for the triangle ABC [from figure]

`90 - r_1 + 90 + 90 - i_1 = 180`

`34.6 + i_1 = 90`

`i_1 = 55.4 degree`

The angle of incidence for

angle of incidence for the second mirror is 55.4 degree