Question 37
SoundWhich of the following statements is true? The frequency of a vibrating string is
- A.proportional to its length
- B.inversely proportional to the tension within it
- C.proportional to the aptitude of vibration
- D.inversely proportional to its cross-section
- 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.