First slide

Ray optics

Question

The Cauchy's formula is

Difficult

A

$μ = A + {Bλ}^{2} + {Cλ}^{4}$
B

$μ = A + {Bλ}^{2} + {Cλ}^{2}$
C

$μ = A + {Bλ}^{- 2} + {Cλ}^{4}$
D

$μ = A + {Bλ}^{- 2} + {Cλ}^{- 4}$

Solution

From Cauchy's dispersion formula the refractive index $(μ)$ and wavelength $(λ)$ are related as follows:
$μ = A + \frac{B}{λ^{2}} + \frac{C}{λ^{4}}$
$\Rightarrow μ = A + {Bλ}^{- 2} + {Cλ}^{- 4}$

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