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MHT CET · Physics · Waves and Sound

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 \(0 \cdot 01 \mathrm{~s}\) is

  1. A \(\frac{\pi}{2} \mathrm{rad}\)
  2. B \(\pi\) rad
  3. C \(\frac{\pi}{4}\) rad
  4. D \(\frac{3 \pi}{2} r a d\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\pi\) rad

Step-by-step Solution

Detailed explanation

\(\lambda=\frac{350}{50}=7 m\)
\(x=\text { velocity } \times \text { time }=350 \times 0.01=3.5 m\)
Phase change \(\frac{2 \pi x}{\lambda}=\frac{2 \pi}{7} \times 3.5=\pi\) radian