JEE Mains · Physics · STD 11 - 14. waves and sound
Which of the following equations represents a travelling wave ?
- A \(y=A \sin (15 x-2 t)\)
- B \(y=\operatorname{Ae}^{-x^{2}}(v t+\theta)\)
- C \(y=A e^{x} \cos (\omega t-\theta)\)
- D \(y=A \sin x \cos \omega t\)
Answer & Solution
Correct Answer
(A) \(y=A \sin (15 x-2 t)\)
Step-by-step Solution
Detailed explanation
\(y = F ( x , t )\) For travelling wave \(y\) should be linear function of \(x\) and \(t\) and they must exist as \((x \pm v t)\) \(y = A \sin (15 x-2 t) \rightarrow\) linear function in \(x\) and \(t.\)
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