Question 31
WavesWhen the length l of a piece of wire under constant tension is varied, the relationship of the frequency of vibration f with l is
- A.f ∝ l
- B.f ∝ 1/l²
- C.f ∝ √l
- D.f ∝ 1/l
Show the answer and explanation
Answer: D (f ∝ 1/l)
Explanation
f = (1/2l)√(T/μ), so at constant tension the frequency is inversely proportional to the length.