Question

Assertion : Refractive index has no units.
Reason : The refractive index is a ratio of two similar quantities.

Answer 1

Answer:

Both the assertion and reason are true.

Explanation:

Refractive index=Speed of light in vacuum/Speed of light in medium

So, it is simply the ratio of two similar physical quantities that is light. Therefore, it has no unit.

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Answer 2

Both the Assertion (A) and Reason (R) are true.

Explanation:

• There is no unit for the refractive index since it is a ratio of the speed of light in a vacuum to its speed of light in a particular medium.
• As the units are similar, they cancel out each other, and therefore it is unitless.

• The formula for refractive index is given below:

                                  $\eta\;=\;\frac cv$

where

$\eta$ is the refractive index

$c$ is the velocity of light in a vacuum

$v$ is the velocity of light in a medium