ExamBro
ExamBro
AP EAMCET · PHYSICS · Waves and Sound

The speed of a stationary wave represented by the equation \(y=0.7 \sin \left(\frac{7 \pi}{4} x\right) \cos (350 \pi t)\) is
(In the given equation \(x\) and \(y\) are in metre and \(t\) is in second)

  1. A \(100 \mathrm{~m} \mathrm{~s}^{-1}\)
  2. B \(150 \mathrm{~m} \mathrm{~s}^{-1}\)
  3. C \(160 \mathrm{~m} \mathrm{~s}^{-1}\)
  4. D \(200 \mathrm{~m} \mathrm{~s}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(200 \mathrm{~m} \mathrm{~s}^{-1}\)

Step-by-step Solution

Detailed explanation

\(k = \frac{7 \pi}{4}\) \(\omega = 350 \pi\) \(v = \frac{\omega}{k} = \frac{350 \pi}{\frac{7 \pi}{4}} = 200 \mathrm{~m} \mathrm{~s}^{-1}\)