JAMB Physics 1979 Question 37

Question 37

Sound

Which of the following statements is true? The frequency of a vibrating string is

  1. A.proportional to its length
  2. B.inversely proportional to the tension within it
  3. C.proportional to the aptitude of vibration
  4. D.inversely proportional to its cross-section
  5. E.proportional to the square root of the tension within it.
Show the answer and explanation

Answer: E (proportional to the square root of the tension within it.)

Explanation

For a string, f = (1/2L)√(T/μ), so the frequency is proportional to the square root of the tension and inversely proportional to the length.