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If the refractive index of second medium...

If the refractive index of second medium with respect to first medium is ` 2_ n 1` and that of third medium with respect to second medium is `3_n2` What and how much is `3_n1`?

Text Solution

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i. `""_(3)n_(1)` denotes refractive index of third medium with respect to first medium.
ii. Refractive index of third medium with respect to first medium is given by,
`""_(3)n_(1)=(v_(1))/(v_(3))`
Multiplying and dividing R.H.S. of above equation by `v_(2)`,
`""_(3)n_(1)=(v_(1))/(v_(2))xx(v_(2))/(v_(3))`
Since, `""_(2)n_(1)=(v_(1))/(v_(2)) and ""_(3)n_(2)=(v_(2))/(v_(3))`
`therefore" "_(3)n_(1)=""_(2)n_(1)xx""_(3)n_(2)`
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