Question:
The equation of simple harmonic progressive wave is given by \(y = A \sin(100\pi t - 4x)\). The distance between two particles having a phase difference of \((\frac{\pi}{4})\) is
The equation of simple harmonic progressive wave is given by \(y = A \sin(100\pi t - 4x)\). The distance between two particles having a phase difference of \((\frac{\pi}{4})\) is
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Key:
$\Delta \phi = k \Delta x$
Updated On: May 8, 2026
- \(\frac{\pi}{18}\text{ m}\)
- \(\frac{\pi}{16}\text{ m}\)
- \(\frac{\pi}{9}\text{ m}\)
- \(\frac{\pi}{3}\text{ m}\)
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The Correct Option is B
Solution and Explanation
Concept: \[ y = A\sin(\omega t - kx) \Rightarrow k = 4 \] Phase difference: \[ \Delta \phi = k \Delta x \]
Step 1: Substitute values. \[ \frac{\pi}{4} = 4 \Delta x \]
Step 2: Solve. \[ \Delta x = \frac{\pi}{16} \] Final Answer: Option (B)
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