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Angle of Reflection Calculator

Law of Reflection:

\[ \theta_r = \theta_i \]

degrees

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1. What is the Law of Reflection?

The Law of Reflection states that when a ray of light reflects off a surface, the angle of reflection (θ_r) is equal to the angle of incidence (θ_i). Both angles are measured relative to the normal (a line perpendicular to the surface at the point of incidence).

2. How Does the Calculator Work?

The calculator uses the Law of Reflection:

\[ \theta_r = \theta_i \]

Where:

Explanation: The angle between the incident ray and the normal equals the angle between the reflected ray and the normal.

3. Importance of Angle of Reflection

Details: Understanding reflection angles is crucial for optics, mirror design, periscopes, and many optical instruments. It's fundamental in physics and engineering applications.

4. Using the Calculator

Tips: Enter the angle of incidence in degrees (0-90°). The calculator will return the angle of reflection which will be equal to the angle of incidence.

5. Frequently Asked Questions (FAQ)

Q1: Does this law apply to all surfaces?
A: The law applies to specular (mirror-like) reflection on smooth surfaces. Rough surfaces exhibit diffuse reflection.

Q2: What is the normal in reflection?
A: The normal is an imaginary line perpendicular to the surface at the point where the light ray hits.

Q3: Does the wavelength affect the angle?
A: No, the angle of reflection is independent of the light's wavelength or intensity.

Q4: What about total internal reflection?
A: That's a different phenomenon that occurs when light travels from a denser to a rarer medium at angles greater than the critical angle.

Q5: How is this used in real-world applications?
A: Applications include periscopes, telescopes, microscopes, car headlights, and many optical devices.

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