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Q.

Is it true that the refractive index has a unit?

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a

True

b

False

answer is B.

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Detailed Solution

The above statement is false.
“Refractive index of a medium can be defined as the ratio of the speed of light in air/vacuum to the speed of light in a medium.” The refractive index of a medium is given by

n_{m} = \frac{speed of light in air}{speed of light in a medium}

\Rightarrow n_{m} = \frac{c}{v}

where

c

is the velocity of light in air and

v

is the velocity of light in a medium.
Hence both the velocity units in the equation get cancelled and hence, the refractive index is just a number that has no unit.
The correct statement is that the refractive index is a unitless quantity.

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