Physics-
General
Easy

Question

A ray of light is incident at an angle i from denser to rare medium. The reflected and the refracted rays are mutually perpendicular. The angle of reflection and the angle of refraction are respectively r and r’, then the critical angle will be

  1. sin to the power of negative 1 end exponent invisible function application left parenthesis sin invisible function application r right parenthesis    
  2. sin to the power of negative 1 end exponent invisible function application blank left parenthesis tan invisible function application r ' right parenthesis)'/>    
  3. sin to the power of negative 1 end exponent invisible function application blank left parenthesis tan invisible function application i right parenthesis    
  4. tan to the power of negative 1 end exponent invisible function application left parenthesis sin invisible function application i right parenthesis    

The correct answer is: sin to the power of negative 1 end exponent invisible function application blank left parenthesis tan invisible function application i right parenthesis


    D mu subscript R end subscript equals fraction numerator sin invisible function application i over denominator sin invisible function application r to the power of ´ end exponent end fraction rightwards double arrow subscript R end subscript rightwards arrow over short leftwards arrow mu subscript D end subscript equals fraction numerator sin invisible function application r to the power of ´ end exponent over denominator sin invisible function application   i end fraction equals fraction numerator 1 over denominator sin invisible function application C end fraction
    rightwards double arrow sin invisible function application C equals fraction numerator sin invisible function application i over denominator sin invisible function application left parenthesis 90 minus r right parenthesis end fraction equals fraction numerator sin invisible function application i over denominator cos invisible function application r end fraction equals fraction numerator sin invisible function application i over denominator cos invisible function application i end fraction (as Ði = Ðr)
    rightwards double arrow sin invisible function application C equals tan invisible function application i rightwards double arrow C equals sin to the power of negative 1 end exponent invisible function application left parenthesis tan invisible function application i right parenthesis

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