Question

Two parallel plane mirrors A and B are placed at a separation 10 cm as shown in figure. A ray is incident on the corner of mirror B at an angle of incidence 45°. Find the number of times ray is reflected from mirror A:
(A).4
(B). 5
(C). 6
(D). 7​

Answer 1

Answer:

it is your answer. thank you

Answer 2

Answer:

B).5

Explanation:

Correct option is B)

At mirror B ∠i=∠r=450

At  mirror A ∠i=∠r=450by geometry(alternate interior angle,considering both normal parallel lines)

Considering a triangle given in the figure.which is isosceles at mirror A 

∠i+∠r=450+450=900 and other two are 450 each.

Let x=half of the base of triangle,and h=height of the triangle.

tan∠i=hx

tan450=10x;tan450=1

x=10cm

2x=2×10=20=length of base,it means this rays will get reflected from mirror A at a distance of 20 cm.

The total length of given mirror is 100 cm.So the no. of time rays will reflected from mirror A is 20100=5.

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