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AP EAMCET · PHYSICS · Waves and Sound

Small amplitude progressive wave in a stretched string has a speed of \(100 \mathrm{cms}^{-1}\), and frequency \(100 \mathrm{~Hz}\). The phase difference between two points \(2.75 \mathrm{~cm}\) apart on the string, in radians, is

  1. A 0
  2. B \(11 \frac{\pi}{2}\)
  3. C \(\frac{\pi}{4}\)
  4. D \(\frac{3 \pi}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(11 \frac{\pi}{2}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { Given; } \mathrm{f}=100 \mathrm{~Hz}, \mathrm{v}=100 \mathrm{~cm} \mathrm{~s}^{-1}=1 \mathrm{~ms}^{-1}, \\ & \Delta \mathrm{x}=2.75 \mathrm{~cm}=2.75 \times 10^{-2} \mathrm{~m}, \text { Phase difference } \\ & \Delta \phi=? \\ & \Delta \phi=\frac{2…