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Light travels with a velocity 1.5 xx 10^...

Light travels with a velocity `1.5 xx 10^(8) m//s` in a medium. On entering second medium its velocity becomes `0.75xx10^(8) m//s`. What is the refractive index of the second medium with respect of the first medium ?

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The correct Answer is:
Refractive index of second medium with respect to first medium is 2.
Given : Velocity of light in first medium `(v_(1))=1.5 xx 10^(8) m//s`. Velocity of light in second medium `(v_(2))=0.75xx10^(8) m//s`
To find: Refractive index of second medium with respect to first medium `(""_(2)n_(1))`
Formula: `""_(2)n_(1)=(v_(1))/(v_(2))`
Calculation : From formula,
`""_(2)n_(1)=(1.5xx10^(8))/(0.75xx10^(8))=2`
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