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A tuning fork A produces 4 beats per second with another tuning fork B of frequency 320 Hz. On filing one of the prongs of A, 4 beats per second are again heard when sounded with the same fork B. Then the frequency of the fork A before filing is

A tuning fork A produces 4 beats per second with another tuning fork B of frequency 320 Hz. On filing one of the prongs of A, 4 beats per second are again heard when sounded with the same fork B. Then the frequency of the fork A before filing is Correct Answer 316 Hz

CONCEPT:

  • When two sound waves of slightly different frequencies, travelling in a medium along the same direction, superimpose on each other, the intensity of the resultant sound at a particular position rises and falls regularly with time.
  • This phenomenon of regular variation in the intensity of sound with time at a particular position is called beats.
  • Beat frequency: The number of beats produced per second is called a beat frequency.

Beat frequency = number of beats/sec

  • If n1 and n2 are the frequency of two sources, then the difference in frequencies of two sources

⇒m = (n1 - n2) or (n2 – n1)

Where m = beat frequency

EXPLANATION:

Given – m = 4, n1 = 320 and n2 = ?

⇒ n2 = n1 - m

⇒ n2 = 320 - 4 = 316 Hz

  • Therefore, the frequency of the fork A before filing is 316 Hz.

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