The refractive index of a medium is a measure of how much the speed of light is reduced inside that medium.
The absolute refractive index of a medium is defined as the ratio of the speed of light in vacuum to the speed of light in that medium.
μ = c / v
where,
c = speed of light in vacuum
v = speed of light in the medium
The relative refractive index of medium 2 with respect to medium 1 is defined as the ratio of the speed of light in medium 1 to the speed of light in medium 2.
μ21 = v1 / v2
Using Snell’s law, refractive index can also be expressed as:
μ = sin i / sin r
Q1. Absolute refractive index of a medium is given by: A) v / c B) c / v C) c × v D) c − v Answer: B Q2. Refractive index of vacuum is: A) 0 B) 1 C) 1.33 D) 1.5 Answer: B Q3. Relative refractive index of medium 2 with respect to medium 1 is: A) v2 / v1 B) v1 / v2 C) c / v D) sin r / sin i Answer: B Q4. Medium with higher refractive index is: A) Optically rarer B) Optically denser C) Same as air D) Vacuum Answer: B Q5. Refractive index of a medium depends on: A) Shape of medium B) Size of medium C) Nature of medium D) Distance travelled Answer: C Q6. If speed of light decreases in a medium, refractive index: A) Decreases B) Becomes zero C) Remains same D) Increases Answer: D Q7. Refractive index has: A) Unit B) Dimension C) No unit D) kg unit Answer: C Q8. Refractive index can be written in terms of angles as: A) sin r / sin i B) cos i / cos r C) sin i / sin r D) tan i / tan r Answer: C
μ = c / v
μ21 = v1 / v2
μ = sin i / sin r
Numericals and MCQs are frequently asked on absolute & relative refractive index and formulas.