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Two adjacent plane mirrors form a right angle. A light ray is incident upon one of the mirrors at an angle 30o to the normal. What is the angle at which the light ray is reflected from the second mirror?

Question

Two adjacent plane mirrors form a right angle. A light ray is incident upon one of the mirrors at an angle 30o to the normal. What is the angle at which the light ray is reflected from the second mirror?

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Solution

To find the angle at which the light ray is reflected from the second mirror, we can use the law of reflection. According to this law, the angle of incidence is equal to the angle of reflection.

Given that the light ray is incident upon the first mirror at an angle of 30o to the normal, we can determine the angle of incidence on the first mirror. Since the mirrors form a right angle, the angle of incidence on the first mirror is 90o - 30o = 60o.

Now, using the law of reflection, we know that the angle of reflection from the first mirror is also 60o.

Since the mirrors are adjacent and form a right angle, the angle of incidence on the second mirror is equal to the angle of reflection from the first mirror. Therefore, the angle at which the light ray is reflected from the second mirror is also 60o.

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