First slide

Ray optics

Question

A thin prism having refracting angle 10° is made glass of refractive index 1.42. This prism is combined with another thin prism of glass of refractive index 1.7. This combination produces dispersion without deviation. The refracting angle of second prism should be :

Moderate

A

10°
B

4°
C

6°
D

8°

Solution

When d = d₁ + d₂ = 0,
$(μ - 1) A + (μ' - 1) A' = 0$
(1.42 -1)10 = (1.7-1)A' $\Rightarrow$ 4.2 = (0.7) A' $\Rightarrow$ A' = 6^o.

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