When the angle of incidence on a material is 60°, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in ms-1)

Question

When the angle of incidence on a material is 60°, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in ms-1) (A) 3 × 108 (B) [(3/√2)] × 108 (C) √3 × 108 (D) 0.5 × 108

Tardigrade Admin · Accepted Answer

From Brewster's law, μ = tan ip ⇒ (c/v) = tan 60° = √3 ⇒ v = (c/√3) = (3 × 108/√3) = √3 × 108 ms-1

Q. When the angle of incidence on a material is 60 $^{\circ}$ , the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in $m s^{- 1}$ )

$3 \times 1 0^{8}$

$[\frac{3}{2}] \times 1 0^{8}$

$3 \times 1 0^{8}$

$0.5 \times 1 0^{8}$

From Brewster's law, $μ = t an i_{p}$
$\Rightarrow \frac{c}{v} = t an 6 0^{\circ} = 3$
$\Rightarrow v = \frac{c}{3} = \frac{3 \times 1 0 ^{8}}{3}$
$= 3 \times 1 0^{8} m s^{- 1}$

Q. When the angle of incidence on a material is 60∘, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in ms−1)

3×108

[2​3​]×108

3​×108

0.5×108

From Brewster's law, μ=tanip​ ⇒vc​=tan60∘=3​ ⇒v=3​c​=3​3×108​ =3​×108ms−1

Q. When the angle of incidence on a material is 60 $^{\circ}$ , the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in $m s^{- 1}$ )

$3 \times 1 0^{8}$

$[\frac{3}{2}] \times 1 0^{8}$

$3 \times 1 0^{8}$

$0.5 \times 1 0^{8}$

From Brewster's law, $μ = t an i_{p}$
$\Rightarrow \frac{c}{v} = t an 6 0^{\circ} = 3$
$\Rightarrow v = \frac{c}{3} = \frac{3 \times 1 0 ^{8}}{3}$
$= 3 \times 1 0^{8} m s^{- 1}$