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The refractive indices of water and glass are 4/3 and 3/2 respectively. The refractive index of water with respect to glass is
  • a)
    8/9
  • b)
    2
  • c)
    2/3
  • d)
    1/6
Correct answer is option 'A'. Can you explain this answer?
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The refractive indices of water and glass are 4/3 and 3/2 respectively...
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Most Upvoted Answer
The refractive indices of water and glass are 4/3 and 3/2 respectively...
This is called relative refractive index which calculated simply by dividing

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The refractive indices of water and glass are 4/3 and 3/2 respectively...
Refractive Index:
The refractive index of a medium is a measure of how much light is bent or refracted when it passes through that medium. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium. The refractive index is denoted by the symbol "n".

Refractive Index of Water:
The refractive index of water is given as 4/3. This means that light travels 4/3 times slower in water than in a vacuum.

Refractive Index of Glass:
The refractive index of glass is given as 3/2. This means that light travels 3/2 times slower in glass than in a vacuum.

Refractive Index of Water with Respect to Glass:
To find the refractive index of water with respect to glass, we need to divide the refractive index of water by the refractive index of glass.

Refractive Index of Water with respect to Glass = Refractive Index of Water / Refractive Index of Glass

= (4/3) / (3/2)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

= (4/3) * (2/3)

= 8/9

Therefore, the refractive index of water with respect to glass is 8/9.

Conclusion:
The correct answer is option 'A' (8/9). The refractive index of water with respect to glass is 8/9, which means that light travels 8/9 times slower in water compared to glass.
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The refractive indices of water and glass are 4/3 and 3/2 respectively. The refractive index of waterwith respect to glass isa)8/9b)2c)2/3d)1/6Correct answer is option 'A'. Can you explain this answer?
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