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Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point 11.5 cm from their point of intersection, as shown in Fig. E33.1. For what angle of incidence at the first mirror will this ray strike the midpoint of the second mirror (which is 28.0 cm long) after reflecting from the first mirror?

Short Answer

Expert verified

The angle of incidence is θi=39.4o.

Step by step solution

01

(a) Concept of Reflection of light.

The bouncing back of a ray of light when it strikes a smooth polished surface is known as Reflection of Light.

02

(d) Determination of angle of incidence.

In case of reflection, if angle of incidence is and the angle of reflection isθ,then,

θi=θr ...(i)

Refer to figure below,

From the figure,

³Ù²¹²ÔÏ•=14.0cm11.5cm

So, angle of reflection =90°-ϕ

θr=39.4°

Thus, from equation (i), the angle of incidence is,

θi=39.4°

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