Question

A certain transverse sinusoidal wave of wavelength $20cm$ 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 :

• A. $\frac{5}{\pi }cm$
• B. $\frac{\pi }{2}cm$
• C. $\frac{10}{\pi }cm$
• D. $2\pi cm$

Answer 1

The correct option is C $\frac{10}{\pi }cm$

$V_{max}=A\omega =5cm/s;$
$T=4sec\Rightarrow \omega =\frac{2\pi }{4}=\frac{\pi }{2}$
$\Rightarrow A=\frac{5}{\pi /2}=\frac{10}{\pi }$cm