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A string is stretched between fixed points separated by . It is observed to have resonant frequencies of and . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is:

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

Solution & Step-by-step Explanation

For a string fixed at both ends, the resonant frequencies are , where is the fundamental (lowest) frequency and is an integer.Successive resonant frequencies differ by the fundamental frequency:

Given successive frequencies are and .

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A string is stretched between fixed points separated by . It is observed to have resonant frequencies of and . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is:
A
B
C
D

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