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

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$\sqrt{ω d} + \sqrt{ω^{'} d^{'}} = 0$

$ω^{'} d + ω d^{'} = 0$

$ω d + ω^{'} d^{'} = 0$

$(ω d)^{2} + {(ω^{'} d^{'})}^{2} = 0$

answer is C.

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Detailed Solution

A achromatic combination of two prisms can be made to get finite deviation without dispersion . The condition for this is given by $ω d + ω^{'} d^{'} = 0$

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