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If the tension in the string changes by 21%, the fundamental frequency of string changes by 15 Hz. Which of the following statement is correct?

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original fundamental frequency is nearly 150 Hz

velocity of propagation changes by 4.5%

velocity of propagation changes by 10%

fundamental wavelength changes by 15%

answer is A.

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Detailed Solution

$\begin{array}{l} f_{0} = \frac{1}{2 I} \sqrt{\frac{T}{μ}} \\ \frac{{df}_{0}}{f_{0}} = \frac{1}{2} \frac{dT}{T} \\ f_{0} = 2 \times 15 \frac{T}{21} \times 100 = 150 Hz . \end{array}$

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