A ray of light passes from a slab of glass (refractive index 1.50) to water (refractive index 1.33). The ratio (v1/v2) of speed of light in glass (v1) to that in water (v2) is ______ and the ray bends ______ the normal after refraction.

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  1. 1.13; towards the normal
  2. 0.89; towards ​the normal
  3. 1.13; away from the normal
  4. 0.89; away from the normal

Answer (Detailed Solution Below)

Option 4 : 0.89; away from the normal
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The correct answer is 0.89; away from the normal.

Key Points

  • The refractive index of glass is 1.50, while that of water is 1.33.
  • The speed of light in a medium is inversely proportional to its refractive index, hence v1/v2 = 1.33/1.50.
  • This ratio (v1/v2) calculates to approximately 0.89.
  • When light passes from a denser medium (glass) to a less dense medium (water), it bends away from the normal.

Additional Information

  • Refractive Index
    • It is a measure of how much the speed of light is reduced inside a medium compared to the vacuum.
    • Higher refractive index means the medium is optically denser.
  • Snell's Law
    • It states the relationship between the angles of incidence and refraction when light passes through different media.
    • The law is given by n1*sin(θ1) = n2*sin(θ2).
  • Critical Angle
    • It is the angle of incidence above which total internal reflection occurs.
    • It occurs when light tries to move from a denser medium to a less dense medium.
  • Total Internal Reflection
    • It happens when the angle of incidence is greater than the critical angle.
    • Light does not pass into the second medium but is entirely reflected back into the first medium.
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