In the Cauchy’s formula for the refractive index n = A + B/... | PHYSICS - DIMENSIONAL FORMULAE AND DIMENSIONAL EQUATIONS | SolveeIt | Solveeit

Today, August 18

Question

In the Cauchy’s formula for the refractive index

n = A + B/λ2 the dimensions of A and B are (λ = wavelength)

A

Both are dimensionless

B

A is dimensionless, B has dimension M0L–2T0

C

A is dimensionless ; B has dimensions M0L2T0

D

Both A and B have dimension M0L2T0

Answer

A is dimensionless ; B has dimensions M0L2T0

Explanation

Solution

[n] = [A] = $\left\lbrack \frac{B}{\lambda^{2}} \right\rbrack$