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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Waves and Sound

JEE Main 2004 · 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⁡(110t+20x+π/4)my=10^{-6} \sin (110 t+20 x+\pi / 4) m, where tt is in seconds and xx in meter. The speed of the wave is

Options

  1. A2000 m/s2000 \mathrm{~m} / \mathrm{s}
  2. B5 m/s5 \mathrm{~m} / \mathrm{s}
  3. C20 m/s20 \mathrm{~m} / \mathrm{s}
  4. D5πm/s5 \pi \mathrm{m} / \mathrm{s}

Correct answer

B. 5 m/s5 \mathrm{~m} / \mathrm{s}

Step-by-step solution

v=ωk=5 ms−1\mathrm{v}=\frac{\omega}{\mathrm{k}}=5 \mathrm{~ms}^{-1}
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