First slide

Dispersion

Question

A thin prism P1 with angle 6° and made from glass of refractive index 1.54 is combined with another thin prism p₂ of refractive index 1.72 to produce dispersion without deviation. The angle of prism P₂ will be

Moderate

A

$5^{\circ} 24^{'}$
B

$4^{\circ} 30^{'}$
C

$6^{\circ}$
D

$8^{\circ}$

Solution

$\frac{A^{'}}{A} = \frac{(μ_{y} - 1)}{(μ_{y^{'}} - 1)} \Rightarrow \frac{A^{'}}{6} = - \frac{(1 .54 - 1)}{(1 .72 - 1)} \Rightarrow A^{'} = - 4 {.5}^{\circ} = 4^{\circ} 30^{'}$

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