A ray of light traveling in a transparent medium falls on a surface separating the medium from air, at an angle of $45^{\circ}$ . The ray undergoes total internal reflection. if 'n' is the refractive index of the medium with respect to air, select the possible values of 'n' from the following.

Question

A ray of light traveling in a transparent medium falls on a surface separating the medium from air, at an angle of

45^{\circ}

. The ray undergoes total internal reflection. if 'n' is the refractive index of the medium with respect to air, select the possible values of 'n' from the following.

Toppr Admin · Accepted Answer

The angle of incidence of all the rays is 45-x2218- at the-xA0-hypotenuse- For a critical angle of 45-x2218- the-xA0-refractive index must be-xA0-sin45-x2218-x2212-1-x221A-2-1-414

A ray of light traveling in a transparent medium falls on a surface separating the medium from air, at an angle of 45∘. The ray undergoes total internal reflection. if 'n' is the refractive index of the medium with respect to air, select the possible values of 'n' from the following.1.31.41.51.6

The angle of incidence of all the rays is 45∘ at the hypotenuse. For a critical angle of 45∘, the refractive index must be (sin45∘)−1=√2=1.414

The angle of incidence of all the rays is $45^{\circ}$ at the hypotenuse. For a critical angle of $45^{\circ}$ , the refractive index must be
${(sin 45^{\circ})}^{- 1} = \sqrt{2} = 1.414$