JEE Mains · Physics · STD 11 - 14. waves and sound
The equation of a plane progressive wave is given by \(y = 5\cos\pi\left(200t - \dfrac{x}{150}\right)\) where \(x\) and \(y\) are in cm and \(t\) is in second. The velocity of the wave is _______ m/s.
- A \(120\)
- B \(150\)
- C \(200\)
- D \(300\)
Answer & Solution
Correct Answer
(D) \(300\)
Step-by-step Solution
Detailed explanation
The given equation of the wave is \(y = 5\cos\pi\left(200t - \dfrac{x}{150}\right)\) Rewriting the equation, we get \(y = 5\cos\left(200\pi t - \dfrac{\pi x}{150}\right)\) Comparing this with the standard wave equation \(y = A\cos(\omega t - kx)\), we have: \(\omega = 200\pi\)…
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