First slide

Dispersion

Question

If a glass prism is dipped in water, its dispersive power

Moderate

A

increases
B

decreases
C

does not change
D

may increase or decrease depending on whether the angle of the prism is less than or greater then $60^{o}$

Solution

Dispersive power of a prism $ω = \frac{μ_{V} - μ_{R}}{μ_{y} - 1} (w h e n p r i s m i s i n a i r)$
When outside medium is changed to water, new dispersive power is given by
$\begin{array}{l} ω_{n e w} = \frac{\frac{μ_{V}}{μ_{w}} - \frac{μ_{R}}{μ_{w}}}{\frac{μ_{y}}{μ_{w}} - 1} = \frac{μ_{V} - μ_{R}}{μ_{y} - μ_{w}} \\ H e n c e d i s p e r s i v e p o w e r i n c r e a s e s w h e n p r i s m i s d i p p e d i n w a t e r . \end{array}$

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