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Waves
Travelling wave equation - frequency
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- Travelling wave equation - frequency
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2024 Re-NEET 1 question
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The displacement of a travelling wave $y=C\sin\dfrac{2\pi}{\lambda}(at-x)$ where t is time, x is distance and $\lambda$ is the wavelength, all in S.I. units. Then the frequency of the wave is$y=C\sin\left(\dfrac{2\pi}{\lambda}at-\dfrac{2\pi}{\lambda}x\right)$. Comparing with $y=A\sin(\omega t-kx)$: $\omega=2\pi f=\dfrac{2\pi a}{\lambda}\Rightarrow f=\dfrac{a}{\lambda}$.