Question

A property of the progressive wave that does not depend upon other characteristics mentioned below is

• A. wavelength
• B. amplitude
• C. frequency
• D. wave velocity

Answer 1

Answer: (B)

amplitude

The equation of a progressive wave is given as:
$y=A\sin (kx\pm \omega t\pm \varphi )$
Here for this wave :
$k=$wave number is given by $\frac{2\pi }{\lambda }$
$\omega$ = $\frac{2\pi }{T}$( angular velocity)
frequency = $\frac{1}{T}$ T= time period
Wavelength ($\lambda$)= $vT$
Velocity of wave (v)=$\lambda f$
Hence from the above equations we can see that the above properties of progressive waves are dependent on other characteristics. Whereas the amplitude does not depend on the characteristics of wave .
Hence option B is correct