Two plane mirrors are connected such that they from a 45o angle between them. A light ray strikes one mirror at an angle of 30o to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.
Question
Two plane mirrors are connected such that they from a 45o angle between them. A light ray strikes one mirror at an angle of 30o to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.
Solution
To solve this problem, we can use the laws of reflection.
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First, let's draw a diagram to visualize the situation. Draw two plane mirrors connected at a 45o angle, and label the incident ray, the normal, and the reflected ray on the first mirror.
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According to the law of reflection, the angle of incidence is equal to the angle of reflection. In this case, the incident ray strikes the first mirror at an angle of 30o to the normal. Therefore, the angle of reflection off the first mirror is also 30o.
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Now, we need to find the angle of incidence on the second mirror. Since the two mirrors are connected at a 45o angle, the angle between the normal of the first mirror and the normal of the second mirror is also 45o.
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Using the law of reflection again, we know that the angle of incidence on the second mirror is equal to the angle of reflection off the first mirror. Therefore, the angle of incidence on the second mirror is 30o.
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Finally, we can conclude that the angle of reflection off the second mirror is also 30o, since the angle of incidence and the angle of reflection are equal.
So, the angle of reflection of the light ray off the second mirror is 30o.
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