First slide

The lens

Question

Two thin lenses of focal lengths $f_{1}$ and $f_{2}$ are made of materials of dispersive powers $ω_{1}$ and $ω_{2}$ respectively. The lenses are kept in contact. The combination will show no chromatic aberration if

Moderate

A

$ω_{1} = ω_{2}$
B

$(f_{1} / f_{2}) = - (ω_{1} / ω_{2})$
C

$f_{1} ω_{1} = f_{2} ω_{2}$
D

$f_{1} ω_{1} + f_{2} ω_{2} = 0$

Solution

$\frac{ω_{1}}{f_{1}} + \frac{ω_{2}}{f_{2}} = 0$ or $\frac{f_{1}}{f_{2}} = - \frac{ω_{1}}{ω_{2}}$

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