MHT CET · Physics · Waves and Sound
A stationary wave is represented by \(\mathrm{y}=10 \sin \frac{\pi \mathrm{x}}{4} \cos 20 \pi \mathrm{t}\) where ' \(\mathrm{x}\) ' and ' \(\mathrm{y}\) ' are
expressed in \(\mathrm{cm}\) and \(^{\prime} t^{\prime}\) in second. Distance between two consecutive nodes is
- A \(4 \mathrm{~cm}\)
- B \(1 \mathrm{~cm}\)
- C \(8 \mathrm{~cm}\)
- D \(2 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(A) \(4 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
Given stationary wave equation: \(y=10 \sin \frac{\pi x}{4} \cos 20 \pi t\) Compare with \(y = A \sin(kx) \cos(\omega t)\): \(k = \frac{\pi}{4}\)
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