The displacement of a traveling wave is given by \(y=C\sin\dfrac{2\pi}{\lambda}({at}-x)\) where \(t\) is time, \(x\) is distance and \(\lambda\) is the wavelength, all in SI units. The frequency of the wave is:
1. \(\dfrac{2\pi\lambda}{a}\) 2. \(\dfrac{2\pi a}{\lambda}\)
3. \(\dfrac{\lambda}{a}\) 4. \(\dfrac{a}{\lambda}\)
Subtopic:  Wave Motion |
 79%
Level 2: 60%+
NEET - 2024
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A wave traveling in the +ve \(x\text-\)direction having maximum displacement along \(y\text-\)direction as \(1~\text{m}\), wavelength \(2\pi~\text{m}\) and frequency of \(\frac{1}{\pi}~\text{Hz}\), is represented by:

1. \(y=\sin (2 \pi x-2 \pi t)\) 2. \(y=\sin (10 \pi x-20 \pi t)\)
3. \(y=\sin (2 \pi x+2 \pi t)\) 4. \( y=\sin (x-2 t)\)
Subtopic:  Wave Motion |
 88%
Level 1: 80%+
AIPMT - 2013
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The equation of a simple harmonic wave is given by \(y=3\sin \frac{\pi}{2}(50t-x)\) where \(x \) and \(y\) are in meters and \(t\) is in seconds. The ratio of maximum particle velocity to the wave velocity is:

1. \(\frac{3\pi}{2}\) 2. \(3\pi\)
3. \(\frac{2\pi}{3}\) 4. \(2\pi\)
Subtopic:  Wave Motion |
 80%
Level 1: 80%+
AIPMT - 2012
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