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A student when discussing the properties of a medium (except vacuum) writes
Velocity of light in vacuum = Velocity of light in medium
This formula is

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Dimensionally correct

Dimensionally incorrect

Numerically incorrect

Both (1) and (3)

answer is D.

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Detailed Solution

The formula can be written as

$\frac{Velocity of light in vacuum}{Velocity of light in medium} = 1$

This formula is dimensionally correct as both the sides are dimensionless. Numerically, this ratio is equal to refractive index which is greater than 1. Hence, the equation is numerically incorrect.

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