Question

Q.11 Define dispersive power. Obtain its expression in terms of angle of
deviation & refractive indices.
Section.​

Answer 1

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Answer 2

Answer:

Dispersive power (ω) of a prism is defined as the ratio of angular dispersion to the mean deviation produced by the prism.

$Dispersive \ power = \frac{Angular \ dispersion}{Mean \ dispersion}$

Mean dispersion = δ

Angular dispersion = δv - δr

$\omega = \frac{\delta _v - \delta _r}{\delta}$

δ = (μ - 1)A

δv = (μv - 1)A

δr = (μr - 1)A

δv - δr = (μv - 1)A - (μr - 1)A

δv - δr = (μv - μr)A

$\omega = \frac{(\mu _v - \mu _r)A}{(\mu - 1)A}\\\\\omega = \frac{\mu _v - \mu _r}{\mu - 1}$