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Question

If the refractive index of medium b with respect to medium a and that of medium c with respect to medium b are given as nba and ncb respectively, then the refractive index of a medium c with respect to a medium a can be found by using the relation
nca=nba×........

  1. ncb
  2. nba
  3. nac
  4. nca

A
nac
B
ncb
C
nca
D
nba
Solution
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The refractive index of medium c with respect to a is denoted as nca.
As per the definition, nca=nanc, where nc is the absolute refractive index of medium c and na is the absolute refractive index of medium a.
Now, nca=nanc=nanb×nbnc
nanb=nba and nbnc=ncb
Thus we get,
nba×ncb=nca
So the answer is ncb.

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