Q.

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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a

ωd+ωd=0

b

(ωd)2+ωd2=0

c

ωd+ωd=0

d

ωd+ωd=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 . 

 Dispersive power: ω= angular disperion  mean deviation 

so, Angular dispersion = Dispersive power x mean deviation =ωd

The condition for deviation without dispersion is that the net angular dispersion should be zero. ωd+ωd=0.

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