The reflected light is completely polarized and the angle of reflection is close to 60° when light i

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Question

The reflected light is completely polarized and the angle of reflection is close to 60° when light is incident from air on the surface of a glass slab. The critical angle for total internal reflection at the glass-air interface is close to:

Accepted Answer

Correct Answer: D — Reflected light is completely polarized and the angle of reflection is close to 60°Step-by-step Solution:When reflected light is completely polarized, the angle of incidence equals Brewster's angle (iB).Given: angle of reflection = angle of incidence = iB ≈ 60°By Brewster's law: tan(iB) = n (refractive index of glass)n = tan(60°) = √3 ≈ 1.732Critical angle for TIR: sin(ic) = 1/n = 1/√3ic = sin⁻¹(1/√3) = sin⁻¹(0.577) ≈ 35.3°Also: iB + ic (complementary) since tan(iB) = n = 1/sin(ic) and the two are complementary in a specific sense.The official answer confirms that when angle of reflection ≈ 60°, reflected light is completely polarized (Brewster's condition) with n = tan60° = √3, and critical angle ≈ 35°.Key Concepts from Wave Optics / Ray Optics (NCERT Class 12):Brewster's Law: tan(iB) = n. At Brewster's angle, reflected light is completely plane polarized. The reflected and refracted rays are perpendicular to each other.Critical angle: sin(ic) = n₂/n₁ (for n₁ > n₂). For glass-air: sin(ic) = 1/n.Relationship: sin(ic) = cos(iB) — Brewster angle and critical angle are complementary in this sense.Polarization by reflection: reflected light is polarized parallel to the surface; refracted light is partially polarized.

The reflected light is completely polarized and the angle of reflection is close to 60° when light is incident from air on the surface of a glass slab. The critical angle for total internal reflection at the glass-air interface is close to:

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The reflected light is completely polarized and the angle of reflection is close to 60° when light is incident from air on the surface of a glass slab. The critical angle for total internal reflection at the glass-air interface is close to:

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