The transverse displacement of a string clamped at its both ends is given by
$y\left( {x,t} \right) = 2\,\sin \,\left( {\frac{{2\pi }}{3}x} \right)\,\cos \,\left( {100\,\pi t} \right)$
where $x$ and $y$ are in $cm$ and $t$ is in $s$. Which of the following statements is correct ?
Medium
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The given equation is
$\mathrm{y}(\mathrm{x}, \mathrm{t})=2 \sin \left(\frac{2 \pi}{3} \mathrm{x}\right) \cos (100 \pi \mathrm{t})$
It represents a stationary wave. Therefore, all the points between consecutive nodes vibrate with same frequency and same phase but different amplitude.
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