A ray of light in air is incident at an angle of 60° on the surface separating air from a medium of refractive index \(\sqrt{(3/2)}\).The ray is refracted in the medium at an angle of _________.

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RRB Group D 29 Sept 2022 Shift 2 Official Paper
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  1. 45°
  2. 60°
  3. 15°
  4. 30°

Answer (Detailed Solution Below)

Option 1 : 45°
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Detailed Solution

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The correct answer is 45°.Key Points

  • The incident angle in air is 60 degrees.
  • The refractive index of the medium is\(\sqrt{(3/2)}\).
  • Using Snell's law, we can calculate the angle of refraction in the medium.
  • The angle of refraction is 45 degrees.

Additional Information

  • The angle of refraction is always less than the angle of incidence when light travels from a rarer to a denser medium. 
  • The angle of refraction cannot be less than the critical angle, which is the angle of incidence that produces an angle of refraction of 90 degrees.
  • Refractive index is a measure of how much a material bends light as it passes through it.
  • The refractive index of a medium is the ratio of the speed of light in vacuum to the speed of light in that medium.
  • The refractive index of a medium depends on the wavelength of light.
  • The refractive index of a medium determines the amount of refraction that occurs when light passes from one medium to another.
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