Dimensions and Derivation of Refractive Index - Testbook.com
IMPORTANT LINKS
Understanding the Dimensional Formula of Refractive Index
In physics, the refractive index plays a crucial role, especially in the field of optics. But what exactly is its dimensional formula? Let's delve into it.
The dimensional formula of the refractive index is denoted as follows,
[M 0 L 0 I 0 T 0 ]
Here,
- M stands for Mass
- L represents Length
- And T refers to Time
Deriving the Dimensional Formula
The refractive index (n) can be calculated by multiplying the speed of light in a vacuum by the reciprocal of the speed of light in a medium.
This is based on the principle that Speed equals Distance divided by Time.
Thus, the dimensional formula of speed becomes [M0L1T-1].
Given that the refractive index is the ratio of the speed of light in vacuum to that in a medium, we can express the refractive index (n) as follows: [M0L1T-1] × [M0L1T-1]-1.
Therefore, the refractive index is dimensionally represented as [M0L0I0T0] which is a Dimensionless Quantity.
Explore More Dimensional Formulas:
Frequently Asked Questions
What is the dimensional formula of refractive index?
The dimensional formula of refractive index is [M0 L0 I0 T0].
How is the refractive index derived?
The refractive index is derived as a ratio of the speed of light in vacuum and medium, which results in a dimensionless quantity.
What are the dimensions of refractive index?
The dimensions of refractive index are M0 L0 I0 T0, which is a dimensionless quantity.
- 3 Live Test
- 163 Class XI Chapter Tests
- 157 Class XII Chapter Tests