Physics-
General
Easy

Question

M1 and M2 are two plane mirrors which are kept parallel to each other as shown. There is a point 'O' on perpendicular screen just infront of 'S'. What should be the wavelength of light coming from monchromatic source 'S'. So that a maxima is formed at 'O' due to interference of reflected light from both the mirrors. [Consider only 1st reflection]. left square bracket D greater than greater than d comma d greater than greater than lambda right square bracket

  1. fraction numerator 3 d to the power of 2 end exponent over denominator D end fraction    
  2. fraction numerator 3 d to the power of 2 end exponent over denominator 2 D end fraction    
  3. fraction numerator d to the power of 2 end exponent over denominator D end fraction    
  4. fraction numerator 2 d to the power of 2 end exponent over denominator D end fraction    

The correct answer is: fraction numerator 3 d to the power of 2 end exponent over denominator 2 D end fraction


    The 2 sources are. As O is a maxima,

    table row cell text end text text H end text text e end text text n end text text c end text text e end text text end text O P equals beta. end cell row cell rightwards double arrow fraction numerator d over denominator 2 end fraction equals fraction numerator lambda. D over denominator left parenthesis 3 d right parenthesis end fraction end cell row cell text end text text g end text text e end text text t end text text end text lambda equals fraction numerator 3 d to the power of 2 end exponent over denominator 2 D end fraction end cell end table

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