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Which of the following is Cauchy’s formula?(a) μ=A+Bλ^2+Cλ^4(b) μ=A+\(\frac {B}{\lambda^2} + \frac {C}{\lambda^4}\)(c) μ=A+B+CBλ(d) μ=A+\(\frac {B}{\lambda}+\frac {C}{\lambda^2}\)The question was posed to me during an interview.Question is from Ray Optics topic in division Ray Optics and Optical Instruments of Physics – Class 12

Answer»

Right answer is (b) μ=A+\(\FRAC {B}{\lambda^2} + \frac {C}{\lambda^4}\)

For EXPLANATION I would say: CAUCHY’s dispersion formula is an empirical expression that gives an approximate relation between the refractive index of a medium and the WAVELENGTH of the light. Cauchy’s formula is given as:

μ=A+\(\frac {B}{\lambda^2} + \frac {C}{\lambda^4}\)

Where A, B, and C are the ARBITRARY constants of the medium.


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