First slide

Dispersion

Question

A thin prism p1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism p2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of prism p2 is

Moderate

A

2.6°
B

3°
C

4°
D

5.33°

Solution

For dispersion without deviation $\frac{A}{A^{'}} = \frac{(μ^{'} - 1)}{(μ - 1)}$
$\frac{4}{A_{F}} = \frac{(1 .72 - 1)}{(1 .54 - 1)} = \frac{0 .72}{0 .54} or A_{F} = \frac{4 \times 0 .54}{0 .72} = 3^{\circ}$

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