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Acids, Bases And Salts

Question
CBSEENSC10014727

The absolute refractive indices of glass and water are 4/3 and 3/2, respectively. If the speed of light in glass is 2 × 108m/s, calculate the speed of light in,

a) vacuum
b) water

Solution

Refractive index of glass, straight eta subscript straight g= 3/2
Therefore,
straight eta subscript straight g space equals space fraction numerator Speed space of space light space in space vacuum over denominator Speed space of space light space in space glass end fraction

3 over 2 space equals space fraction numerator Speed space of space light space in space vacuum over denominator 2 space straight x space 10 to the power of 8 end fraction
That is,
Speed of light in vacuum,
c = fraction numerator 3 space straight x 2 space straight x space 10 to the power of 8 over denominator 2 end fraction space equals space 3 space x space 10 to the power of 8 space m divided by s
Refractive index of water, straight eta subscript straight w space equals space 4 over 3
straight eta subscript straight w space equals space fraction numerator Speed space of space light space in space vacuum over denominator Speed space of space light space in space water end fraction
4 over 3 equals fraction numerator 2.6 space x space 10 to the power of 8 over denominator S p e e d italic space o f italic space l i g h t italic space i n italic space w a t e r end fraction
Speed of light in water = 2.25 x 108 m/s
Note: In the question given, the refractive indices of glass and water is wrong. The refractive index of glass and water is interchanged.