# How is refractive index relate to the angle of bending of light?

You can use the Snell's law to judge that,

Suppose light falls at air - object interface,the object has a refractive index

or,

Now,

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The angle of bending of light is related to the refractive index through Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speeds of light in the two media, which is also equal to the ratio of the refractive indices of the two media. Mathematically, it can be expressed as:

[ \frac{\sin(\theta_1)}{\sin(\theta_2)} = \frac{v_1}{v_2} = \frac{n_2}{n_1} ]

where:

- ( \theta_1 ) is the angle of incidence,
- ( \theta_2 ) is the angle of refraction,
- ( v_1 ) and ( v_2 ) are the speeds of light in the first and second media, respectively,
- ( n_1 ) and ( n_2 ) are the refractive indices of the first and second media, respectively.

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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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