First slide

Ray optics

Question

A glass prism deviates the red and blue rays through 10^o and 12^o respectively. A second prism of equal angle deviates them through 8^o and 10^orespectively. Their dispersive powers are in the ratio

Moderate

A

11 : 9
B

9 : 11
C

3 : 2
D

1 : 1

Solution

$\frac{ω_{1}}{ω_{2}} = \frac{(δ_{B_{1}} - δ_{R_{1}}) (δ_{B_{1}} + δ_{R_{1}}) / 2}{(δ_{B_{2}} - δ_{R_{2}}) (δ_{B_{2}} + δ_{R_{2}}) / 2}$
$= \frac{2 / 11}{2 / 9} = \frac{9}{11}$

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