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QJEEM22Phe00f: JEE Main 2022 Physics - Class 12 JEEM22Phe00f Solution: A thin prism of angle and refractive index for yellow light is…

A thin prism of angle 6∘6^{\circ} and refractive index for yellow light (nY)1.5\left(\mathrm{n}_{\mathrm{Y}}\right) 1.5 is combined with another prism of angle 5∘5^{\circ} and nY=1.55\mathrm{n}_{\mathrm{Y}}=1.55 . The combination produces no dispersion. The net average deviation (δ)(\delta) produced by the combination is (1x)∘\left(\frac{1}{x}\right)^{\circ} . The value of xx is ____________.

JEE Main 2022 (Online) 27th July Evening Shift Physics - Geometrical Optics Question 84 English

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δnet=δ1+δ2{\delta _{net}} = {\delta _1} + {\delta _2}

=∣(μ1−1)A1−(μ2−1)A2∣= |({\mu _1} - 1){A_1} - ({\mu _2} - 1){A_2}|

=∣3∘−2.75∘∣= |3^\circ - 2.75^\circ |

δnet=1∘4{\delta _{net}} = {{1^\circ } \over 4}

⇒x=4\Rightarrow x = 4

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