Question

Write the relation between absolute refractive index of a medium and the speed of light in vacuum.

Answer 1

n=c/v
n is ref. index of subsrance
c is speed of light
and Vis vel. of light in that substance

Answer 2

The absolute refractive index of the medium can be referred as ratio of speed of light in the medium to the speed of light in the vacuum

Snell's laws of refraction of light ::

The refractive index of two contacting substances is related to the route travelled by a ray of light as it crosses the boundary or separation surface between them.

According to Snell law of refraction of light,

• The incident ray, the refracted ray, and the refracted surface normal are all in the same plane.
• The ratio of the refractive index of medium 2 to that of medium 1 is equal to the ratio of the sine of the angle of incidence in medium 1 to the angle of refraction in medium 2.

⇒  $\frac{sin i}{sin r} = \frac{n_{2} }{n_{1} }$

Absolute refractive index:

The ratio of the velocity of light in vacuum to the velocity of light in the medium is the absolute refractive index of a medium.

As per the given condition,

The absolute refractive index of a medium is defined as its refractive index in relation to that of vacuum, i.e. the ratio of the given medium's refractive index to that of vacuum.

Absolute refractive index of the medium = $\frac{n_{medium} }{n_{vacuum} }$

Absolute refractive index of the medium - $\frac{c}{v}$

Where V is the speed of light in that medium

C is the speed of light in vacuum

Conclusion:

The absolute refractive index of the medium can be referred as ratio of speed of light in the medium to the speed of light in the vacuum

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