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Refractive index of flint glass is 1.56 . Then the critical angle (Ic)(I_c)(Ic​) for glass air interface can also be expressed as SinIcSin I_cSin
Question

Refractive index of flint glass is 1.56 . Then the critical angle (Ic)(I_c) for glass air interface can also be expressed as SinIcSin I_c equals :

A.

0.64

B.

0.94

C.

0.74

D.

0.84

Correct option is A

The critical angle (Iₓ) for a given medium is the angle of incidence at which the angle of refraction becomes 90°. The formula to calculate the critical angle is:

sin Iₓ =1refractive index of the medium \frac{1} {\text{refractive index of the medium}}

For the glass-air interface,
Refractive index of flint glass = 1.56
Refractive index of air = 1 (approximately)

So,
sin Iₓ = 11.56\frac{1 }{ 1.56}​ = 0.64

Thus, the critical angle Iₓ for flint glass is approximately 0.64.

Information Booster

  • Refractive index: It is a measure of how much a material bends light as it passes through. The higher the refractive index, the greater the bending of light.
  • Critical angle: The critical angle is the minimum angle of incidence at which total internal reflection occurs when light passes from a denser medium to a less dense medium, like from glass to air.

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