# Refractive index = #sin i/sin r# or #sin r/sin i#. what does it tell? and ABOUT WHAT?

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I have known the formula refractive index = Speed of light in vacuum/ speed of light in specific medium.

or simply #n=c/v# . Is there any difference between these two? if yes the please explain.

I have known the formula refractive index = Speed of light in vacuum/ speed of light in specific medium.

or simply

The equations are equivalent - the angle through which the light will bend will depend on the relative speeds in the two media.

Imagine an automobile turning at an angle from a motorway into a level field. The wheel that enters the field first will slow down, and the faster movement of the other wheels will cause the car to turn; the greater the difference in speed, the more it will turn. This means that the more the light slows down, the greater the angle it turns through, or the greater the difference between sin i and sin r and therefore the greater the refractive index.

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The refractive index, expressed as sin i/sin r or sin r/sin i, quantifies how much light is bent as it passes from one medium to another, indicating the degree of change in the speed of light. It provides information about the optical density of a material and the angle of incidence (i) and refraction (r) of light waves at the interface between two media.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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