Question:

The Cauchy's dispersion formula is

Updated On: Jan 2, 2024
  • $n=A+B\lambda^{-2}+C\lambda^{-4}$
  • $n=A+B\lambda^{-2}+C\lambda^{4}$
  • $n=A+B\lambda^{2}+C\lambda^{-4}$
  • $n=A+B\lambda^{2}+C\lambda^{4}$
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The Correct Option is A

Solution and Explanation

The Cauchy's dispersion formula represents the dispersion of most of the substances with considerable accuracy. Also from the Cauchy's dispersion formula if \(n\) is refractive index and \(A, B\) and \(C\) are constants, then
\(n = A + B \lambda^{-2} + C\lambda^{-4}\)

So, the correct option is (A): \(n = A + B \lambda^{-2} + C\lambda^{-4}\)

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Concepts Used:

Measures of Dispersion

Measures of dispersion refer to positive real numbers that measure how homogeneous or heterogeneous the provided data is. The value of a measure of dispersion will be zero (0) if the data points in a data set are the same.

Types of Measures of Dispersion:

The measures of dispersion can be classified into two major categories such as:

  1. Absolute measures of dispersion - Range, variance, standard deviation and mean deviation fall under this category.
  2. Relative measures of dispersion
Measures of dispersion