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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Waves and Sound

BITSAT 2021 · Physics · Waves and Sound

The displacement y of a particle in a medium can be expressed as,...

The displacement y of a particle in a medium can be expressed as, y=10−6sin⁡(100t+20x+π4)my=10^{-6} \sin \left(100 t+20 x+\frac{\pi}{4}\right) m where tt is in second and xx in meter. The speed of the wave is

Options

  1. A20m/s20 \mathrm{ m} / \mathrm{s}
  2. B5m/s5 \mathrm{ m} / \mathrm{s}
  3. C2000m/s2000 \mathrm{ m} / \mathrm{s}
  4. D5πm/s5 \pi \mathrm{m} / \mathrm{s}

Correct answer

B. 5m/s5 \mathrm{ m} / \mathrm{s}

Step-by-step solution

From equation given, ω=100 and k=20v=ωk=10020=5m/s\begin{array}{l} \omega=100 \\ \text{ and } \mathrm{k}=20 \\ \mathrm{v}=\frac{\omega}{\mathrm{k}}=\frac{100}{20}=5 \mathrm{ m} / \mathrm{s} \end{array}
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