Physics-
General
Easy

Question

A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is

  1. 129.6 Hz    
  2. 500 Hz    
  3. 1000 Hz    
  4. 2000 Hz    

The correct answer is: 1000 Hz


    When piston moves a distancex subscript 1 end subscript, path difference change by 2 xs.
    thereforethe path difference between maxima and consecutive minima=lambda divided by 2
    2 x equals lambda divided by 2
    Or
    λ=4x=4×9 cm=36cm=0.36m
    n equals fraction numerator v over denominator lambda end fraction equals fraction numerator 360 over denominator 0.36 end fraction equals 1000 blank H z

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