First slide

Dispersion

Question

The power of an achromatic convergent lens of two lenses is + 2D. The power of convex lens is + 5D. The ratio of dispersive power of convex and concave lens will be

Moderate

A

5 : 3
B

3 : 5
C

2 : 5
D

5 : 2

Solution

$P_{1} + P_{2} = 2 D and P_{1} = 5 D, so P_{2} = - 3 D For achromatic combination \frac{ω_{1}}{ω_{2}} = (- \frac{p_{2}}{p_{1}}) = - (\frac{- 3}{5}) = \frac{3}{5}$

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