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TS EAMCET · Physics · Waves and Sound

Which of the following wave has the largest wave speed?

  1. A \(y(x, t)=2 \sin (2 x-2 t)\)
  2. B \(y(x, t)=3 \sin (2 x-3 t)\)
  3. C \(y(x, t)=2 \sin (3 x-2 t)\)
  4. D \(y(x, t)=3 \sin (5 x-2 t)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(y(x, t)=3 \sin (2 x-3 t)\)

Step-by-step Solution

Detailed explanation

\(V=\frac{\omega}{K}=\frac{\text { coeff. of } t}{\text { coeff. of } x}\) Clearly, highest wave speed is for wave equation given in option (b), which is given as \(\mathrm{V}=\frac{3}{2}=1.5 \mathrm{~m} / \mathrm{s}\)
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