Physics-
General
Easy

Question

Two identical narrow slits S subscript 1 end subscript text  and  end text S subscript 2 end subscript are illuminated by light of wavelength lambda from a point source P If, as shown in the diagram above the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is that

  1. open parentheses l subscript 1 end subscript minus l subscript 2 end subscript close parentheses equals left parenthesis 2 n plus left parenthesis A right parenthesis lambda divided by 2    
  2. open parentheses l subscript 3 end subscript minus l subscript 4 end subscript close parentheses equals left parenthesis 2 n plus left parenthesis A right parenthesis lambda divided by 2    
  3. open parentheses l subscript 2 end subscript plus l subscript 2 end subscript close parentheses minus open parentheses l subscript 3 end subscript plus l subscript 2 end subscript close parentheses equals n lambda    
  4. open parentheses l subscript 1 end subscript plus l subscript 3 end subscript close parentheses minus open parentheses l subscript 2 end subscript plus l subscript 4 end subscript close parentheses equals left parenthesis 2 n plus left parenthesis A right parenthesis lambda divided by 2    

The correct answer is: open parentheses l subscript 1 end subscript plus l subscript 3 end subscript close parentheses minus open parentheses l subscript 2 end subscript plus l subscript 4 end subscript close parentheses equals left parenthesis 2 n plus left parenthesis A right parenthesis lambda divided by 2

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