AP EAMCET · PHYSICS · Oscillations
The displacement \(y(\) in \(\mathrm{cm})\) in case of a simple harmonic wave is given by \(y=\frac{10}{\pi} \sin \left(2000 \pi t-\frac{\pi x}{17}\right)\). The period and maximum velocity of the particles in the medium will respectively be
- A \(10^{-3} \mathrm{~s}, 330 \mathrm{~ms}^{-1}\)
- B ) \(10^{-4} \mathrm{~s}, 20 \mathrm{~ms}^{-1}\)
- C \(10^{-3} \mathrm{~s}, 200 \mathrm{~ms}^{-1}\)
- D \(10^{-2} \mathrm{~s}, 2000 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(C) \(10^{-3} \mathrm{~s}, 200 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
Displacement equation in SHM is given as \[ y=\frac{10}{\pi} \sin \left(2000 \pi t-\frac{\pi x}{17}\right) \mathrm{cm} \] Comparing with wave equation, \[ y=a \sin (\omega t-k x) \]…
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