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Dimensional Analysis

When light tr...

Question

When light travels through glass, the refractive index of glass is found to vary with wavelength as μ = A + B/λ². Using the principle of homogeneity of dimensions, find the dimensions and SI units of the constants A and B.

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Solution

Refractive index has no dimension.
Thus if A+ (B/lambda ²) = refractive index.
Then, A has no dimension and B has dimension of [ L²].

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