Physics-
General
Easy

Question

Two coherent narrow slits emitting light of wavelength lambda in the same phase are placed parallel to each other at a small separation of 3lambda. The light is collected on a screen S which is placed at a distance D (>>lambda) from the slits. The smallest distance x such that the P is a maxima.

  1. square root of 3 D end root    
  2. square root of 8 D end root    
  3. square root of 5 D end root    
  4. square root of 5 fraction numerator D over denominator 2 end fraction    

The correct answer is: square root of 8 D end root



    in this case path difference is d cos q.
    table row cell text end text text S end text text o end text text end text n lambda equals lambda equals 3 lambda comma c o s invisible function application theta rightwards double arrow c o s invisible function application theta equals fraction numerator 1 over denominator 3 end fraction end cell row cell rightwards double arrow fraction numerator D over denominator square root of D to the power of 2 end exponent plus y to the power of 2 end exponent end root end fraction equals fraction numerator 1 over denominator 3 end fraction rightwards double arrow 3 D equals square root of D to the power of 2 end exponent plus y to the power of 2 end exponent end root end cell row cell rightwards double arrow y equals square root of 8 D equals 2 square root of 2 D end root end cell end table

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