a ray of light is approaching a set of three mirrors. the light ray approaching the first mirror at an angle of 45 degrees with the mirror surface. how many times will the ray reflect before it exits the system?
Answers
The reflected ray will hit the third mirror at an angle of 45°, and will reflect up and out of the mirror system. What will the angle of reflection be at the second reflection? we know that β = 180° - 90° - α. Therefore the incident and reflected rays are parallel, and the angle of reflection at the second mirror is α.
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Answer:
Explanation:
Angle of Incidence:
The angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence is known as the angle of incidence in optics (called as normal). We must first examine the idea of light reflection in order to comprehend the angle of incidence. We are all aware that a light beam gets reflected back when it strikes a polished surface like a mirror.
At the point of incidence, the incident ray and the reflected ray create two angles. The angle of incidence is the angle created between the incident ray and the normal ray.
The angle of reflection is the term used to describe the angle created at the point of incidence between the normal and the reflected beam.
At mirror 1, angle of incidence
∠i = 45 degrees
∠r = ∠i = 45 degrees
Hence ∠r + ∠i = 90 degrees e.g., the beam at mirror 2 will go horizontally.
Here ∠r = 90 degrees - 45 degrees = 45 degrees
∴ ∠i = ∠r = 45 degrees
As a result, the reflected beam passes the mirror vertically.
Two reflections later, the system has a ray.
2 times the ray reflect before it exists the system.
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