First slide

Prism

Question

Three prisms of crown glass, each have angle of prism 9° and two prisms of flint glass are used to make direct vision spectroscope. What will be the angle of flint glass prisms if $μ$ for flint is 1.60 and $μ$ for crown glass is 1.53

Moderate

A

11.9°
B

16.0°
C

15.3°
D

9.11°

Solution

Total deviation = 0
$δ_{1} + δ_{2} + δ_{3} + δ_{4} + δ_{5} = (μ_{1} - 1) A_{1} - (μ_{2} - 1) A_{2} + (μ_{3} - 1) A_{3} - (μ_{4} - 1) A_{4} + (μ_{5} - 1) A_{5} = 0$
$\Rightarrow 2 \times A_{2} (1 .6 - 1) = 3 (1 .53 - 1) 9 \Rightarrow A_{2} = 3 (\frac{0 .53 \times 9}{1 .2}) = 11 {.9}^{\circ}$

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