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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A wave is represented by the equation$y = 7\sin \left( {7\pi t - 0.04\,x\pi + \frac{\pi }{3}} \right)$ $x$ is in metres and $ t$ is in seconds. The speed of the wave is
  • ✓
    $175\, m/sec$
  • B
    $49 \pi\,m/sec$
  • C
    $\frac{49}{\pi}\,m/sec$
  • D
    $0.28 \pi\,m/sec$
✓

Answer

Correct option: A.
$175\, m/sec$
a
(a) $v = \frac{{{\rm{Co - efficient \,of\, }}t}}{{{\rm{Co - efficient \,of\, }}x}}$$ = \frac{{7\pi }}{{0.04}} = 175\,m/s$.

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