A ray is incident on a plane mirror. Its reflected ray is perpendicular to the incident ray. Find the angle of incidence.

Open in App

Solution

According to laws of reflection:

the angle of incidence= angle of reflection,

In our problem,

angle of incidence + angle of reflection = 90°,

Therefore,

Angle of incidence= 90°/2 = 45°.

Suggest Corrections

Similar questions

Q. The incident ray and the reflected ray from a mirror is mutually perpendicular to each other. Find the angle of incidence.

Q. Two plane mirrors are inclined at angle

θ

. An optical ray

A B

is incident on a mirror at an angle

2 θ

with the mirror, as shown. The reflected ray from the second mirror,

C D

is perpendicular to the incident ray. Find angle

q

Q. 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

Figure shows an incident ray AO and the normal ON a plane mirror. The angle which the incident ray AO makes with the mirror is $30^{\circ}$ . (a) Find the angle of incidence. (b) Draw the reflected ray and then find the angle between the incident and reflected rays.

Q. A light ray is incident on a plane mirror and the angle of reflection is

50^{\circ}

. Calculate the angle between the incident ray and the reflected ray.

Join BYJU'S Learning Program

A ray is incident on a plane mirror. Its reflected ray is perpendicular to the incident ray. Find the angle of incidence.

According to laws of reflection: the angle of incidence= angle of reflection, In our problem, angle of incidence + angle of reflection = 90°, Therefore, Angle of incidence= 90°/2 = 45°.

According to laws of reflection:

the angle of incidence= angle of reflection,

In our problem,

angle of incidence + angle of reflection = 90°,

Therefore,

Angle of incidence= 90°/2 = 45°.