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Minimum Deviation

Dispersive po...

Question

Dispersive power of a prism decreases with the increase in prism angle.

A

True

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B

False

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Solution

The correct option is B False
Dispersive Power $= \frac{A n g u l a r D i s p e r s i o n}{M e a n D e v i a t i o n} = ω$
Mean Deviation $= S = (μ - 1) A$ .
Angular Dispersion $= S_{v} - S_{r} = (μ_{v} - μ_{r}) = A$
$ω = \frac{S_{v} - S_{r}}{S} = \frac{(μ_{v} - μ_{r}) A}{(μ - 1) A}$
$ω = (\frac{μ_{v} - μ_{r}}{μ - 1})$ .
Hence, dispersive power cannot depend on prism angle.

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