Unpolarised light is incident from air on a plane surface of a material of refractive index . At a particular angle of incidence , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct

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Q.
Unpolarised light is incident from air on a plane surface of a material of refractive index $μ$ . At a particular angle of incidence $i$ , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation [2018]

1 Reflected light is polarised with its electric vector parallel to the plane of incidence.

2 Reflected light is polarised with its electric vector perpendicular to the plane of incidence.

3 $i = \sin^{- 1} (\frac{1}{μ})$

4 $i = \tan^{- 1} (\frac{1}{μ})$

Ans.
(2)

When reflected light and refracted light are perpendicular, reflected light is polarised with electric field vector perpendicular to the plane of incidence.

Also, $\tan i = μ (Brewster angle)$

Solution

Q.
Unpolarised light is incident from air on a plane surface of a material of refractive index $μ$ . At a particular angle of incidence $i$ , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation [2018]

1 Reflected light is polarised with its electric vector parallel to the plane of incidence.

2 Reflected light is polarised with its electric vector perpendicular to the plane of incidence.

3 $i = \sin^{- 1} (\frac{1}{μ})$

4 $i = \tan^{- 1} (\frac{1}{μ})$

Ans.
(2)

When reflected light and refracted light are perpendicular, reflected light is polarised with electric field vector perpendicular to the plane of incidence.

Also, $\tan i = μ (Brewster angle)$

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Solution

Q. Unpolarised light is incident from air on a plane surface of a material of refractive index μ. At a particular angle of incidence i, it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation [2018]

1 Reflected light is polarised with its electric vector parallel to the plane of incidence.

2 Reflected light is polarised with its electric vector perpendicular to the plane of incidence.

3 i=sin-1(1μ)

4 i=tan-1(1μ)

Ans. (2) When reflected light and refracted light are perpendicular, reflected light is polarised with electric field vector perpendicular to the plane of incidence. Also, tani=μ (Brewster angle)

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Q.
Unpolarised light is incident from air on a plane surface of a material of refractive index $μ$ . At a particular angle of incidence $i$ , it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation [2018]

3 $i = \sin^{- 1} (\frac{1}{μ})$

4 $i = \tan^{- 1} (\frac{1}{μ})$

Ans.
(2)

When reflected light and refracted light are perpendicular, reflected light is polarised with electric field vector perpendicular to the plane of incidence.

Also, $\tan i = μ (Brewster angle)$