Physics-
General
Easy

Question

In the adjacent figure, sini/sinr :

  1. is equal to fraction numerator open parentheses mu to the power of ' end exponent close parentheses to the power of 2 end exponent over denominator mu mu subscript 0 end subscript end fraction2μμ0'/>    
  2. is equal to fraction numerator mu over denominator mu subscript 0 end subscript end fraction    
  3. is equal to fraction numerator mu mu subscript 0 end subscript over denominator open parentheses mu to the power of ' end exponent close parentheses to the power of 2 end exponent end fraction2'/>    
  4. cannot be calculated    

The correct answer is: is equal to fraction numerator mu over denominator mu subscript 0 end subscript end fraction


    Applying snell’s law;
    fraction numerator sin invisible function application i over denominator sin invisible function application r to the power of ´ end exponent end fraction equals fraction numerator mu to the power of ´ end exponent over denominator mu subscript 0 end subscript end fraction..(i)
    And fraction numerator sin invisible function application r to the power of ´ end exponent over denominator sin invisible function application r end fraction equals fraction numerator mu over denominator mu to the power of ´ end exponent end fraction.... left parenthesis i i right parenthesis
    Multiplying (i) and (ii),
    fraction numerator sin invisible function application i over denominator sin invisible function application r to the power of ´ end exponent end fraction cross times fraction numerator sin invisible function application r to the power of ´ end exponent over denominator sin invisible function application r end fraction equals fraction numerator mu to the power of ´ end exponent over denominator mu subscript 0 end subscript end fraction cross times fraction numerator mu over denominator mu to the power of ´ end exponent end fraction
    rightwards double arrow fraction numerator sin invisible function application i over denominator sin invisible function application r end fraction equals fraction numerator mu over denominator mu subscript 0 end subscript end fraction

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