The relationship between the angle of incidence and the angle of refraction is known as _______ law.

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Snell's Law is the answer

The relationship between the angle of incidence and the angle of refraction is known as Snell's Law. To understand and derive this relationship, we need to consider the principles of optics and the phenomena of refraction.

To get the answer, you can follow these steps:

1. Start with understanding the concept of refraction: Refraction is the bending of light as it passes from one medium to another, caused by the change in its speed. When light travels from one medium (such as air) to another medium with a different optical density (such as water or glass), it changes direction.

2. Introduce the concept of the angle of incidence: When light rays pass from one medium to another, they do so at a particular angle called the angle of incidence. This angle is measured between the incident ray (the incoming light ray) and the normal (a line perpendicular to the interface of the two media).

3. Introduce the concept of the angle of refraction: Similarly, when light rays pass through the interface and into the new medium, they change direction again. The angle formed between the refracted ray (the ray that continues through the new medium) and the normal is called the angle of refraction.

4. Introduce Snell's Law: Snell's Law is an empirical formula that relates the angle of incidence and the angle of refraction. It states the following relationship: the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to a constant value, which is specific to the two media. Mathematically, Snell's Law can be written as: n1 sin(theta1) = n2 sin(theta2), where n1 and n2 are the refractive indices of the two media, and theta1 and theta2 are the angles of incidence and refraction, respectively.

5. Understand the significance of Snell's Law: Snell's Law allows us to predict the direction and bending of light as it transitions between media with different refractive indices. It is a fundamental law in optics and is used in numerous applications, including the design of lenses, prisms, and the phenomenon of total internal reflection.

In summary, the relationship between the angle of incidence and the angle of refraction is known as Snell's Law, which is derived using the principles of refraction and the bending of light as it passes between media with different refractive indices.