Physics-
General
Easy

Question

A ray of monochromatic light is incident on one refracting face of a prism of angle 75 to the power of ring operator end exponent. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is square root of 2, the angle of incidence on the first face of the prism is

  1. 30 to the power of ring operator end exponent    
  2. 45 to the power of ring operator end exponent    
  3. 60 to the power of ring operator end exponent    
  4. 0 to the power of ring operator end exponent    

The correct answer is: 45 to the power of ring operator end exponent


    From figure
    A equals r subscript 1 end subscript plus c equals r subscript 1 end subscript plus sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses
    rightwards double arrow r subscript 1 end subscript equals 75 minus sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses
    rightwards double arrow 75 minus 45 equals 3 0 to the power of o end exponent
    From Snell’s law At B
    mu equals fraction numerator sin invisible function application i over denominator sin invisible function application r subscript 1 end subscript end fraction rightwards double arrow square root of 2 equals fraction numerator sin invisible function application i over denominator sin invisible function application 3 0 to the power of o end exponent end fraction

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