Linear frequency of travelling wave – Rankers Physics
Topic: Waves
Subtopic: Waves and its Characteristics

Linear frequency of travelling wave

The displacement of a travelling wave is given by \(y = P \sin \frac{2\pi}{\lambda}(Qt - x)\), where \(t\) is time and \(x\) is distance and \(\lambda\) is wavelength. The linear frequency of the wave is
\(\frac{Q}{\lambda}\)
\(\frac{2\pi Q}{\lambda}\)
\(\frac{\lambda}{Q}\)
\(\frac{2Q}{\lambda}\)

Solution:

The wave equation can be rewritten as \(y = P \sin \left(\frac{2\pi Qt}{\lambda} - \frac{2\pi x}{\lambda}\right)\). Here, angular frequency \(omega = \frac{2\pi Q}{\lambda}\). Thus, linear frequency is \(f = \frac{\omega}{2\pi} = \frac{Q}{\lambda}\).

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