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].