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WBJEEA transverse sinusoidal wave moves along a string in the positive \(x\)-direction at...
A transverse sinusoidal wave moves along a string in the positive \(x\)-direction at a speed of \(10 \mathrm{~cm} / \mathrm{s}\). The wavelength of the wave is \(0.5 \mathrm{~m}\) and its amplitude is \(10 \mathrm{~cm}\). At a particular time \(t\), the snap-shot of the wave is shown in figure. The velocity of point \(P\) when its displacement is \(5 \mathrm{~cm}\) is
Solution:
Particle velocity \(v_p=-v\) (slope of \(y-x\) graph)
Here,\(v=+v e\), as the wave is travelling in positive \(x\)-direction.
Slope at \(P\) is negative.
\(\therefore\) Velocity of particle is in positive \(y(+\overrightarrow{\mathbf{j}})\) direction.
\(\therefore\) correct option is (a).
Here,\(v=+v e\), as the wave is travelling in positive \(x\)-direction.
Slope at \(P\) is negative.
\(\therefore\) Velocity of particle is in positive \(y(+\overrightarrow{\mathbf{j}})\) direction.
\(\therefore\) correct option is (a).
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