Q83 / 90 · JEE Main 2022 (27 Jul Shift 2) · Physics

A thin prism of angle 6° and refractive index for yellow light nY1.5 is combined with another prism of angle 5° and nY=1.55. The combination produces no dispersion. The net average deviation δ produced by the combination is 1x°. The value of x is _____ .

Figure

Correct answer: 4

Solution

The formula for deviation due to a thin prism is given by, δ=Aμ-1.

Therefore, for prism 1:

δ1=61.5-1=3°

And for prism 2:

δ2=-51.55-1=-2.75°

⇒δnet=δ1+δ2=3°-2.75°=0.25°=14°

Therefore, x=4.

Hence, the correct answer is 4.

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