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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between  two sucessive crests in the wave is .... $m$
  • A
    $2.5$
  • ✓
    $3.5$
  • C
    $1.5$
  • D
    $4.5$
✓

Answer

Correct option: B.
$3.5$
b
$\mathrm{k}=.018$

$\lambda=2 \pi / \mathrm{k}=\frac{2 \pi}{.018}=348.88=3.5 \mathrm{\,m}$

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