The speed of light in media $M_{1}$ and $M_{2}$ is $1.5 \times 1 0^{8}$ m/s and $2.0 \times 1 0^{8}$ m/s respectively. A ray of light enter medium $M_{1}$ to $M_{2}$ at an incidence angle i. If the ray suffers total internal reflection, the value of i is?

Question

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Answer 1

In total internal reflection, the angle of incidence (1) must be greater than critical angle $C$
$2 μ = 2 a n d μ_{2} = \frac{3}{2} 2 sin i \geq \frac{3}{2} sin 9 0^{0} sin i \geq \frac{3}{4} i \geq sin^{- 1} (\frac{3}{4}) H e n c e, o p t i o n B i s c o r r e c t a n s w e r .$

Answer 2

In total internal reflection, the angle of incidence (1) must be greater than critical angle

C

2 μ = 2 a n d μ_{2} = \frac{3}{2} 2 sin i \geq \frac{3}{2} sin 9 0^{0} sin i \geq \frac{3}{4} i \geq sin^{- 1} (\frac{3}{4}) H e n c e, o p t i o n B i s c o r r e c t a n s w e r .

The speed of light in media $M_{1}$ and $M_{2}$ is $1.5 \times 1 0^{8}$ m/s and $2.0 \times 1 0^{8}$ m/s respectively. A ray of light enter medium $M_{1}$ to $M_{2}$ at an incidence angle i. If the ray suffers total internal reflection, the value of i is?

Equal to or less than $sin^{- 1} (\frac{3}{5})$

Equal to or greater than $sin^{- 1} (\frac{3}{4})$

Less than $sin^{- 1} (\frac{2}{3})$

Equal to $sin^{- 1} (\frac{2}{3})$

In total internal reflection, the angle of incidence (1) must be greater than critical angle $C$
$2 μ = 2 a n d μ_{2} = \frac{3}{2} 2 sin i \geq \frac{3}{2} sin 9 0^{0} sin i \geq \frac{3}{4} i \geq sin^{- 1} (\frac{3}{4}) H e n c e, o p t i o n B i s c o r r e c t a n s w e r .$

A ray of light selling in a transparent medium of refractive index $μ$ , falls on a surface separating the medium from the air at an angle of incidence of $4 5^{0}$ . For which of the following values of $μ$ the ray can undergo total internal reflection?

Consider the ray diagram for the refraction given below. The maximum value of angle 6 for which the light suffers total internal reflection at the vertical surface, is

If the critical angle for total internal reflection from a medium to vacuum is $3 0^{o}$ . Then velocity of light in the medium is:

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 prism is 1.524.

A ray of light is incident at an angle $α$ on the boundary separating two transparent media. It is transmitted. When angle a is increased very slightly ( by negligible amount ), the ray sufferes a total intenal reflection. The difference between the angles of deviation in two cases is :

Revise with Concepts

Refraction Through Prism

Deviation Produced by a Triangular Prism

Relation Between Angle of Prism and Angle of Deviation, Refractive Index of Materials

Minimum Deviation in a Triangular Prism

Deviation in Reflection, Refraction and Prism

Problems on Tir in Prism

The speed of light in media M1​ and M2​ is 1.5×108 m/s and 2.0×108 m/s respectively. A ray of light enter medium M1​ to M2​ at an incidence angle i. If the ray suffers total internal reflection, the value of i is?

Equal to or less than sin−1(53​)

Equal to or greater than sin−1(43​)

Less than sin−1(32​)

Equal to sin−1(32​)

In total internal reflection, the angle of incidence (1) must be greater than critical angle C 2μ=2andμ2​=23​2sini≥23​sin900sini≥43​i≥sin−1(43​)Hence,optionBiscorrectanswer.​

A ray of light selling in a transparent medium of refractive index μ, falls on a surface separating the medium from the air at an angle of incidence of 450. For which of the following values of μ the ray can undergo total internal reflection?

Consider the ray diagram for the refraction given below. The maximum value of angle 6 for which the light suffers total internal reflection at the vertical surface, is

If the critical angle for total internal reflection from a medium to vacuum is 30o. Then velocity of light in the medium is:

At what angle should a ray of light be incident on the face of a prism of refracting angle 60∘ so that it just suffers total internal reflection at the other face. The refractive index of the prism is 1.524.

A ray of light is incident at an angle α on the boundary separating two transparent media. It is transmitted. When angle a is increased very slightly ( by negligible amount ), the ray sufferes a total intenal reflection. The difference between the angles of deviation in two cases is :

Revise with Concepts

Refraction Through Prism

Deviation Produced by a Triangular Prism

Relation Between Angle of Prism and Angle of Deviation, Refractive Index of Materials

Minimum Deviation in a Triangular Prism

Deviation in Reflection, Refraction and Prism

Problems on Tir in Prism

The speed of light in media $M_{1}$ and $M_{2}$ is $1.5 \times 1 0^{8}$ m/s and $2.0 \times 1 0^{8}$ m/s respectively. A ray of light enter medium $M_{1}$ to $M_{2}$ at an incidence angle i. If the ray suffers total internal reflection, the value of i is?

Equal to or less than $sin^{- 1} (\frac{3}{5})$

Equal to or greater than $sin^{- 1} (\frac{3}{4})$

Less than $sin^{- 1} (\frac{2}{3})$

Equal to $sin^{- 1} (\frac{2}{3})$

In total internal reflection, the angle of incidence (1) must be greater than critical angle $C$
$2 μ = 2 a n d μ_{2} = \frac{3}{2} 2 sin i \geq \frac{3}{2} sin 9 0^{0} sin i \geq \frac{3}{4} i \geq sin^{- 1} (\frac{3}{4}) H e n c e, o p t i o n B i s c o r r e c t a n s w e r .$

A ray of light selling in a transparent medium of refractive index $μ$ , falls on a surface separating the medium from the air at an angle of incidence of $4 5^{0}$ . For which of the following values of $μ$ the ray can undergo total internal reflection?

If the critical angle for total internal reflection from a medium to vacuum is $3 0^{o}$ . Then velocity of light in the medium is:

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 prism is 1.524.

A ray of light is incident at an angle $α$ on the boundary separating two transparent media. It is transmitted. When angle a is increased very slightly ( by negligible amount ), the ray sufferes a total intenal reflection. The difference between the angles of deviation in two cases is :