Concept explainers
Light rays strike a plane mirror at an angle of 45.0° as shown in Figure P37.15. At what angle should a second mirror be placed so that the reflected rays are parallel to the first mirror?
The angle at which the second mirror be placed so that the reflected rays are parallel to the first mirror.
Answer to Problem 15PQ
The angle at which the second mirror be placed so that the reflected rays are parallel to the first mirror is
Explanation of Solution
The following figure shows the reflection diagram.
Figure-(1)
Here,
Calculate the angle from the above diagram.
According to law of reflection
Calculate the other angles from the above diagram.
From the above figure, the total angle in the triangle
For the second mirror, the total angle in a straight line is equal to
From the above figure, the total angle in the triangle
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the angle at which the second mirror be placed so that the reflected rays are parallel to the first mirror is
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Chapter 37 Solutions
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