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AP EAMCET · PHYSICS · Waves and Sound

A piano wire with a diameter of \(0.90 \mathrm{~mm}\) is replaced by another wire of diameter \(0.93 \mathrm{~mm}\) of the same material. If tension of wire is kept the same, then the percentage change in frequency of fundamental tone is

  1. A \(+3 \%\)
  2. B \(-3 \%\)
  3. C \(+3.2 \%\)
  4. D \(-3.2 \%\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(-3.2 \%\)

Step-by-step Solution

Detailed explanation

Given, diameter, \(d_1=0.9 \mathrm{~mm}=0.9 \times 10^{-3} \mathrm{~m}\) \[ \begin{aligned} & =9 \times 10^{-4} \mathrm{~m} \\ d_2=0.93 \mathrm{~mm} & =9.3 \times 10^{-4} \mathrm{~m} \end{aligned} \] Frequency of fundamental tone is given as…
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