Question:
A plane progressive wave is given by \( y = 2 \cos 2\pi(330t - x) \, \text{m} \). The frequency of the wave is:
A plane progressive wave is given by \( y = 2 \cos 2\pi(330t - x) \, \text{m} \). The frequency of the wave is:
Updated On: Nov 24, 2024
- 165 Hz
- 330 Hz
- 660 Hz
- 340 Hz
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The Correct Option is B
Solution and Explanation
The general form of a plane progressive wave is:
\[y = A \cos(\omega t - kx).\]
Comparing with the given equation:
\[y = 2 \cos 2\pi (330 t - x),\]
we identify:
\[\omega = 2\pi \times 330.\]
The angular frequency \(\omega\) is related to the frequency \(f\) by:
\[\omega = 2\pi f \implies 2\pi f = 2\pi \times 330.\]
Thus:
\[f = 330 \, \text{Hz}.\]
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