Physics
JAMB 1979
Which of the following statements is true? The frequency of a vibrating string is
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A.
proportional to its length
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B.
inversely proportional to the tension within it
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C.
proportional to the aptitude of vibration
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D.
inversely proportional to its cross-section
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E.
proportional to the square root of the tension within it
Correct Answer: Option E
Explanation
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 ∝ \(\sqrt{T}\))
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