The Brewster angle for the glass-air interface is 53.74° . If ray of light going from air to glass strikes at an angle of incidence 45°, then the angle of refraction is (tan .53.740 ≈ √2)

Question

The Brewster angle for the glass-air interface is 53.74° . If ray of light going from air to glass strikes at an angle of incidence 45°, then the angle of refraction is (tan .53.740 ≈ √2) (A) 60° (B) 30° (C) 25° (D) 54.74°

Tardigrade Admin · Accepted Answer

According to the Brewster μ= tan i p μ= tan 53.74 μ=√2 ∴ √2=( sin i/ sin r) ⇒ √2=( sin 45°/ sin r) sin r=(1/√2) × (1/√2)=(1/2) r= sin -1((1/2)) r=30°

Q. The Brewster angle for the glass-air interface is $53.7 4^{\circ} .$ If ray of light going from air to glass strikes at an angle of incidence $4 5^{\circ},$ then the angle of refraction is (tan $53.7 4^{0} \approx 2)$

$6 0^{\circ}$

$3 0^{\circ}$

$2 5^{\circ}$

$54.7 4^{\circ}$

According to the Brewster $μ = tan i_{p}$
$μ = tan 53.74$
$μ = 2$
$∴ 2 = \frac{s i n i}{s i n r}$
$\Rightarrow 2 = \frac{s i n 4 5 ^{\circ}}{s i n r}$
$sin r = \frac{1}{2} \times \frac{1}{2} = \frac{1}{2}$
$r = sin^{- 1} (\frac{1}{2})$
$r = 3 0^{\circ}$

Q. The Brewster angle for the glass-air interface is 53.74∘. If ray of light going from air to glass strikes at an angle of incidence 45∘, then the angle of refraction is (tan 53.740≈2​)

60∘

30∘

25∘

54.74∘