Physics-
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Question

A beam with wavelength lambda falls on a stack of partially reflecting planes with separation d. The angle theta that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)

  1. sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator d end fraction close parentheses    
  2. tan to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator d end fraction close parentheses    
  3. sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator 2 d end fraction close parentheses    
  4. cos to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator 2 d end fraction close parentheses    

The correct answer is: sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator 2 d end fraction close parentheses



    Path difference equals 2 d sin invisible function application theta
    therefore For constructive interference
    2 d sin invisible function application theta equals n lambda
    rightwards double arrow theta equals sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator 2 d end fraction close parentheses

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