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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30^{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

45^{0}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

Similar questions

Q. A ray of light incident normally on the first face of an equilateral prism undergoes total internal reflection at the second face if refractive index

μ

Q. At what angle should a ray of light be incident on the face of a prism of refracting angle

60^{\circ}

so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is

1.524

Q. A light ray is an incident at one face of an equilateral prism such that the angle of incidence is

45^{0}

. if the light ray emerges from the other face of the prism by making the same angle with the normal, determine the refractive index of the material of the prism.

At what angle in degrees should a ray of light be incident on the face of a prism of refracting angle $60^{o}$ so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is $1.524$ . Given $s i n^{- 1} (0.66) = 41^{o}$ , $sin 19^{o} = 0.3256$ , ${sin}^{- 1} (0.4962) = 30^{o}$ , $\frac{1}{1.5424} = 0.66$

Q. A light ray incident normally on one face of an equilateral prism and emerges out grazingly at the other face. The refractive index of the prism is : -

Join BYJU'S Learning Program

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