In the visible region the dispersive powers and the mean angular … - Vidyadip

MCQ

In the visible region the dispersive powers and the mean angular deviations for crown and flint glass prisms are $\omega , \omega '$ and $d, d' $ respectively. The condition for getting deviation without dispersion when the two prisms are combined is

A
$\sqrt {\omega d} \, + \,\sqrt {\omega 'd'} = 0$
B
$\omega 'd + \omega d' = 0$
✓
$\omega d + \omega 'd' = 0$
D
${(\omega d)^2} + {(\omega 'd')^2} = 0$

✓

Answer

Correct option: C.

$\omega d + \omega 'd' = 0$

c
(c) ${\theta _{net}} = \theta + \theta ' = 0$$ \Rightarrow \omega d + \omega 'd' = 0$

($\theta $= Angular dispersion =$\omega .\;{\delta _y}$)

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