Physics-
General
Easy

Question

In an experiment with sonameter a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. tension of the string remaining constant the frequency of the second tuning fork is

  1. 163.84 Hz    
  2. 400 Hz    
  3. 320 Hz    
  4. 204.8 Hz    

The correct answer is: 400 Hz


    For sonometer
    v proportional to fraction numerator 1 over denominator l end fraction
    therefore blank fraction numerator v subscript 1 end subscript over denominator v subscript 2 end subscript end fraction equals fraction numerator l subscript 2 end subscript over denominator l subscript 1 end subscript end fraction ⟹ fraction numerator 256 over denominator v subscript 2 end subscript end fraction equals fraction numerator 16 over denominator 25 end fraction
    v subscript 2 end subscript equals fraction numerator 256 cross times 25 over denominator 16 end fraction equals 400 blank H z

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