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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 equation is given as $y = cos\,\,(500t - 70x),$ where $y$ is in $mm$, $x$ in $m$ and $t$ is in $sec$.
  • A
    the wave must be a transverse porpagating wave.
  • B
    The speed of the wave is $50/7 \,\,m/s$
  • C
    Two closest points which are in same phase have separation $20\pi /7\,\, cm.$
  • ✓
    All of the above
✓

Answer

Correct option: D.
All of the above
d
$y=\cos (70 x-500 t)$

Transverse wave as particle oscillate perpendicular to the direction of motion

$\mathrm{V}=\frac{500}{70}=\frac{50}{7} \mathrm{m} / \mathrm{s}$

$\mathrm{f}=500=\frac{250}{\pi}$

$\lambda=\frac{2 \pi}{70} \mathrm{m}=\frac{20 \pi}{7} \mathrm{cm}$

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