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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
Equation of a progressive wave is given by $y = a\,\sin \pi \,\left[ {\frac{t}{2} - \frac{x}{4}} \right]\,,$ where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8 sec$ is .... $(m)$ (in meter)
  • A
    $8$
  • ✓
    $16$
  • C
    $2$
  • D
    $4$
✓

Answer

Correct option: B.
$16$
b
(b) $v = \frac{{{\rm{Co}} - {\rm{efficent}}\;{\rm{of}}\;t}}{{{\rm{Co}} - {\rm{efficent}}\;of\;x}} = \frac{{1/2}}{{1/4}} = 2\,m/s$
Hence $d = v\,t = 2 \times 8 = 16m$

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