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  4. A certain transverse sinusoidal wave of wavelength 20 cm is moving in the positive x -direction. The transverse velocity of the particle at x=0 as a function of time is shown. The amplitude of the motion is :

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Q. A certain transverse sinusoidal wave of wavelength $20\, cm$ is moving in the positive $x$ -direction. The transverse velocity of the particle at $x=0$ as a function of time is shown. The amplitude of the motion is :Physics Question Image

Waves

Solution:

We use maximum particle velocity
$v_{\max } =A \omega=5\, cm / s ; T=4\, s$
$\Rightarrow \omega =\frac{2 \pi}{4}=\frac{\pi}{2}$
$\Rightarrow A =\frac{5}{\pi / 2}=\frac{10}{\pi} cm.$