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Light is incident on a glass plate at an angle of 600. If reflected and refracted rays are mutually perpendicular, then refractive index of the glass plate is
  • a)
    1/√2
  • b)
    2/√3
  • c)
    m√2
  • d)
    √3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Light is incident on a glass plate at an angle of 600. If reflected an...
The angle of incidence and angle of reflection are equal, so the angle of reflection is also 60°. Since the reflected and refracted rays are mutually perpendicular, the angle of refraction is 90°.

Using Snell's law, we have:

n1 sin θ1 = n2 sin θ2

where n1 is the refractive index of the medium the light is coming from (air, in this case), θ1 is the angle of incidence (60°), n2 is the refractive index of the glass plate, and θ2 is the angle of refraction (90°).

Plugging in the values:

1 sin 60° = n2 sin 90°

n2 = sin 60°/sin 90°

n2 = 0.866/1

n2 = 0.866

Therefore, the refractive index of the glass plate is approximately 0.866.
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Light is incident on a glass plate at an angle of 600. If reflected an...
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Light is incident on a glass plate at an angle of 600. If reflected and refracted rays are mutually perpendicular, then refractive index of the glass plate isa)1/√2b)2/√3c)m√2d)√3Correct answer is option 'D'. Can you explain this answer?
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