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Question

# Three thin prisms are combined as shown in figure. The refractive indices of the crown glass for red, yellow and violet rays are μr, μy and μv respectively and those for the flint glass are μ′r, μ′y and μ′v respectively. Find the A′A for which, there is no net angular dispersion.

A
μy1μy1
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B
2μy1μy1
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C
3μy1μy1
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D
4μy1μy1
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Solution

## The correct option is B 2μy−1μ′y−1Total deviation for yellow ray produced δy=δcy−δfy+δcy =2δcy−δfy =2(μcy−1)A−(μ−cy−1)A1 Angular dispersion, δv−δr=[(μvc−1)A−(μvf−1)A1+(μvc−1)A] −[(μrc−1)A−(μrf−1)A1+(μr−1)A] 2(μvc−1)A−(μvf−1)A1 For net angular dispersion to be zero, δr−δr=0 2(μvc−1)A=(μvf−1)A1

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