Physics-
General
Easy

Question

Two closed organ pipe A and pipe B have the same length. A is wider than B. they resonate in the fundamental mode at frequencies v subscript A end subscript a n d blank v subscript B end subscriptrespectively, then

  1. v subscript A end subscript equals v subscript B end subscript    
  2. v subscript A end subscript greater than v subscript B end subscript    
  3. v subscript A end subscript less than v subscript B end subscript    
  4. Either (b) or (c) depending on the ratio of their diameters    

The correct answer is: v subscript A end subscript less than v subscript B end subscript


    In the fundamental mode of vibration
    fraction numerator lambda over denominator 4 end fraction equals open parentheses l plus 0.3 d close parentheses
    Where 0.3d the necessary end correction. frequency of vibration,
    v equals fraction numerator v over denominator lambda end fraction equals fraction numerator v over denominator 4 open parentheses l plus 0.3 close parentheses end fraction
    As 𝒍 is same for both pipes, wider pipe (A) will resonate at a lower frequency, i.e., v subscript A end subscript less than v subscript B end subscript.

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