For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
polystyrene

flint glass

Respuesta :

(1) The critical angles for the air is 90⁰,

(2) The critical angles for the polystyrene is 39.1 ⁰ and

(3) The critical angles for the flint glass is 37.2 ⁰.

Critical angles for the different medium

θc = sin⁻¹( 1/η)

where;

  • η is the refractive index

Refractive index of air = 1

Refractive index of polystyrene = 1.5865

Refractive index of flint glass = 1.655

Critical angles for air

θc = sin⁻¹( 1/1)

θc = 90⁰

Critical angles for polystyrene

θc = sin⁻¹( 1/1.5865)

θc =  39.1 ⁰

Critical angles for flint glass

θc = sin⁻¹( 1/1.655)

θc = 37.2 ⁰

Thus, the critical angles for the air is 90⁰, the critical angles for the polystyrene is 39.1 ⁰ and the critical angles for the flint glass is 37.2 ⁰.

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