Which 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
Verified Correct Answer: E.
Physical Principles & Numerical Solution
The frequency (f) of a vibrating string is determined by the laws of transverse vibrations, summarized by the formula:
f = \(\frac{\text{n}}{2L}\)\(\sqrt{\frac{T}{\mu}}\)
Where T is the tension, L is the length, and \(\mu\) is the mass per unit length. According to the Law of Tension, the frequency is directly proportional to the square root of the tension. (f ∝ \(\sqrt{T}\))
Source: Myschool Past Questions Archive (Record #29216)