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Physics-

General

Easy

Question

A medium shows relation between i and r as shown. If speed of light in the medium is n c then value of n is

1.5
2
2^–1
3^–1/2

The correct answer is: 3^–1/2

From graph it is clear that $tan invisible function application 3 0 to the power of o end exponent equals fraction numerator sin invisible function application r over denominator sin invisible function application i end fraction$
Þ $fraction numerator 1 over denominator square root of 3 end fraction equals fraction numerator sin invisible function application r over denominator sin invisible function application i end fraction equals fraction numerator 1 over denominator mu end fraction$ Þ $mu equals square root of 3$
Also $v equals fraction numerator c over denominator mu end fraction equals n c$ Þ $n equals fraction numerator 1 over denominator mu end fraction equals fraction numerator 1 over denominator square root of 3 end fraction equals left parenthesis 3 right parenthesis to the power of negative 1 divided by 2 end exponent$

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