Physics-
General
Easy

Question

When light is incident on a medium at angle i and refracted into a second medium at an angle r, the graph of sin i vs sin r is as shown in the graph. From this, one can conclude that

  1. Velocity of light in the second medium is 1.73 times the velocity of light in the I medium    
  2. Velocity of light in the I medium is 1.73 times the velocity in the II medium    
  3. The critical angle for the two media is given by sin i subscript c end subscript equals fraction numerator 1 over denominator square root of 3 end fraction    
  4. sin i subscript c end subscript equals fraction numerator 1 over denominator 2 end fraction    

The correct answer is: Velocity of light in the I medium is 1.73 times the velocity in the II medium


    From graph 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 equals fraction numerator 1 over denominator 1 mu subscript 2 end subscript end fraction
    Þ 1 mu subscript 2 end subscript equals square root of 3 Þ fraction numerator mu subscript 2 end subscript over denominator mu subscript 1 end subscript end fraction equals fraction numerator v subscript 1 end subscript over denominator v subscript 2 end subscript end fraction equals 1.73Þv subscript 1 end subscript equals 1.73 v subscript 2 end subscript
    Also from mu equals fraction numerator 1 over denominator sin invisible function application C end fraction Þ sin invisible function application C equals fraction numerator 1 over denominator R a r e r mu subscript D e n s e r end subscript end fraction
    Þ sin invisible function application C equals fraction numerator 1 over denominator 1 mu subscript 2 end subscript end fraction equals fraction numerator 1 over denominator square root of 3 end fraction.

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