A string vibrates according to the equation $y = 5\sin \,\left( {\frac{{2\pi x}}{3}} \right)\,\,\cos \,20\,\pi t$, where $x$ and $y$ are in $cm$ and $t$ in sec. The distance between two adjacent nodes is .... $cm$
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(d) $y = 5\sin \,\left( {\frac{{2\pi x}}{3}} \right)\cos 20\,\pi \,t,$ comparing with equation
$y = 2a\sin \frac{{2\pi x}}{\lambda }\cos \frac{{2\pi vt}}{\lambda }$ ==>$\lambda = 3,$
distance between two adjacent nodes $ = \lambda /2 = 1.5\,cm$.
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