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A tuning fork of frequency makes with the vibrating string of a piano. The beat frequency decreases to when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

Fork frequency .
Beat frequency .
Possible string frequencies , so or .
Increasing tension in a string increases its frequency ().If and it increases, increases (beats increase).If and it increases, decreases (beats decrease).
Since beats decreased to , the original frequency was .

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A tuning fork of frequency makes with the vibrating string of a piano. The beat frequency decreases to when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:
A
B
C
D

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