Question

For the wave shown in figure, find its amplitude, frequency and wavelength if its speed is 300 m/s. Write the equation for this wave as it travels out along the + x-axis if its position at t = 0 is as shown.

Answer 1

Amplitude is the maximum displacement of a point on the wave from its mean position.

Here the maximum displacement is $0.06m=A=$ Amplitude

From the figure we see that the point x=0 and x=20cm have 5 half wavelengths in between. Thus $20=5\frac{\lambda }{2}$

$⟹\lambda =8cm$

Speed of wave=$\frac{\omega }{k}=\lambda \nu =300m/s$

$⟹\nu =\frac{300}{0.08}Hz=3750Hz$