The variation of the refractive index of a cr | vedclass

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(A) For a thin prism,the angle of minimum deviation $D_m$ is given by the formula:$D_m = (n - 1)A$where $n$ is the refractive index of the material of

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(A) For a thin prism,the angle of minimum deviation $D_m$ is given by the formula:$D_m = (n - 1)A$where $n$ is the refractive index of the material of the prism and $A$ is the angle of the prism.From the given graph,the refractive index $n$ decreases as the wavelength $\lambda$ increases (Cauchy's dispersion formula: $n(\lambda) = a + b/\lambda^2 + ...$).Since $D_m$ is directly proportional to $(n - 1)$,as $n$ decreases with increasing $\lambda$,$D_m$ must also decrease as $\lambda$ increases.Therefore,the graph of $D_m$ versus $\lambda$ should show a decreasing trend,which corresponds to the first graph (Graph $A$).

The variation of the refractive index of a crown glass thin prism with the wavelength of the incident light is shown. Which of the following graphs is the correct one,if $D_m$ is the angle of minimum deviation?

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