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MHT CET202619 April 2026Evening ShiftPhysicsRay OpticsActual

Light travels a distance 'x' in time ' t₀ ' in air and ' 4x ' in time ' t₁ ' in another denser medium. The critical angle for this medium is

Options

  1. A⁻¹ ( t₁ t₀ )
  2. B⁻¹ ( 4t₀ t₁ )
  3. C⁻¹ ( 4t₁ t₀ )
  4. D⁻¹ ( t₀ 4t₁ )

Correct answer

B. ⁻¹ ( 4t₀ t₁ )

Step-by-step solution

Speed of light in air is given by v₁ = x t₀ Speed of light in the denser medium is given by v₂ = 4x t₁ The refractive index of the denser medium with respect to air is = v₁ v₂ The critical angle _c for the medium is given by _c = 1 = v₂ v₁ Substituting the values of v₁ and v₂ : _c = 4x t₁ x t₀ = 4t₀ t₁ _c = ⁻¹ ( 4t₀ t₁ ) Answer: ⁻¹ ( 4t₀ t₁ )

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