JEE Mains · Physics · STD 11 - 14. waves and sound
A transverse harmonic wave on a string is given by \(y(x, t)=5 \sin (6 t+0.003 x)\) where \(x\) and \(y\) are in \(cm\) and \(t\) in \(sec\). The wave velocity is \(...........\,ms ^{-1}\).
- A \(10\)
- B \(5\)
- C \(30\)
- D \(20\)
Answer & Solution
Correct Answer
(D) \(20\)
Step-by-step Solution
Detailed explanation
\(y(x, t)=5 \sin (6 t+0.003 x)\) \(k =0.003\,cm ^{-1}, \quad \omega=6\,rad / s , v =\frac{\omega}{ k }\) \(\Rightarrow \frac{6}{0.003 \times 10^2}=20\,ms ^{-1}\)
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