A ray of light, incident on one face of an equilateral prism, undergoes total internal reflection at another face. If the refractive index of the material of prism is $\sqrt{2}$ , then angle of refraction $(r_{2})$ at the other face will be

15^{0}

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30^{0}

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45^{0}

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{sin}^{- 1} (\sqrt{2 sin} 15^{0})

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Solution

The correct option is C $45^{0}$
$PQ= incident ray QR= Refracted ray RC= emergent ray grazing along RC.∠QRO=C= criticalangle =γ2, (in general) sinC=1μ=1√2C=sin−1(1√2)=45∘=γ2$

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A ray of light, incident on one face of an equilateral prism, undergoes total internal reflection at another face. If the refractive index of the material of prism is √2, then angle of refraction (r2) at the other face will be

The correct option is C 450PQ= incident ray QR= Refracted ray RC= emergent ray grazing along RC.∠QRO=C= criticalangle =γ2, (in general) sinC=1μ=1√2C=sin−1(1√2)=45∘=γ2

A ray of light, incident on one face of an equilateral prism, undergoes total internal reflection at another face. If the refractive index of the material of prism is $\sqrt{2}$ , then angle of refraction $(r_{2})$ at the other face will be

The correct option is C $45^{0}$
$PQ= incident ray QR= Refracted ray RC= emergent ray grazing along RC.∠QRO=C= criticalangle =γ2, (in general) sinC=1μ=1√2C=sin−1(1√2)=45∘=γ2$