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Show that when light reflects from two mirrors that meet

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 2PE Chapter 25

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 2PE

Problem 2PE

Show that when light reflects from two mirrors that meet each other at a right angle, the outgoing ray is parallel to the incoming ray, as illustrated in the following figure.

Step-by-Step Solution:
Step 1 of 3

Solution  2PE

Assume the incident ray reflects at an angle ∅ with the first mirror. Since both mirror meet each other at a right angle, so the first reflection ray forms a right triangle with the two mirrors as shown in below figure:

o - ∅

Now from the figure, the angle between the line parallel to the first mirror and outgoing ray is ∅2 and,

2  = 90o -

Substitute 90o -  for  in the above expression,

2  = 90o - ( 90o - ∅ )

      =   ∅

So, the outgoing ray makes an angle  ∅ with a line parallel to the first mirror.

Therefore by the properties of parallel lines the outgoing ray is parallel to the incident ray.

Hence the outgoing ray is parallel to the incident ray.

Step 2 of 3

Chapter 25, Problem 2PE is Solved
Step 3 of 3

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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Show that when light reflects from two mirrors that meet