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Question: Answered & Verified by Expert
A progressive wave of frequency $50 \mathrm{~Hz}$ is travelling with velocity $350 \mathrm{~m} / \mathrm{s}$ through a medium. The change in phase at a given time interval of 0.01 second is
PhysicsWaves and SoundMHT CETMHT CET 2021 (21 Sep Shift 1)
Options:
  • A $\frac{\pi}{4} \mathrm{rad}$
  • B $\frac{3 \pi}{2} \mathrm{rad}$
  • C $\pi \mathrm{rad}$
  • D $\frac{\pi}{2} \mathrm{rad}$
Solution:
2313 Upvotes Verified Answer
The correct answer is: $\pi \mathrm{rad}$
$$
\begin{aligned}
& \frac{\text { Phase Difference }}{2 \pi}=\frac{\text { Time Difference }}{\mathrm{T}} \\
& \Rightarrow \Delta \phi=\frac{2 \pi}{\mathrm{T}} \times \Delta \mathrm{t}=\frac{2 \pi}{1 / 50} \times 0.01=\pi \text { radian }
\end{aligned}
$$

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