Question

9) Two mirrors are at right angles to one another. A light ray is incident on the first at an angle of 30° with respect to the normal to the surface. What is the angle of reflection from the second surface?

Answer 1

Answer:

60°

Explanation:

In the given question it is given that the two mirrors perpendicular to each other.

The light ray will reflect off the first mirror with an angle of 30° (∠i= ∠r) and then arrive at the second mirror. Using geometry of the two mirrors and the fact that the angle between the two of them is 90°, the incident angle for second mirror is 60°, which will again equal to the angle of reflection.

hence, angle of reflection of second mirror is 60°

Answer 2

The angle of reflection from the second surface is (b) 60◦

Explanation:

Two mirrors are at right angles to one another. A light ray is incident on the first at an angle of 30° with respect to the normal to the surface. What is the angle of reflection from the second surface?

(a) 30◦

(b) 60◦

(c) 45◦

(d) 53◦

(e) 75◦

Reflection is the direction change of a wavefront at interface between two different media. The light ray (it is a line (straight or curved) that is perpendicular to the light's wavefronts and its tangent is collinear with the wave vector) will reflect off of the first mirror with an equal angle  of 30◦  then it arrives at the second mirror. By using the geometry (branch of mathematics that concerned with questions of shape, size, relative position of figures, and the properties of space) of the two  mirrors and the angle between the two of them is 90◦ , the  incident angle (the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence called the normal) for the second mirror is 60◦ that equal to the final angle of  reflection.

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