Question

Equation of a standing wave is expressed as y = 2A sin$\omega$t coskx. In the equation, quantity $\omega$/k represents

• A. the transverse speed of the particles of the string.
• B. the speed of the component waves
• C. the speed of the standing wave.
• D. a quantity that is independent of the properties of the string.

Answer 1

The correct option is A the transverse speed of the particles of the string.

$y=1A\sin \omega t\cos kxk=\frac{2\pi }{\lambda }\Rightarrow \frac{\omega }{K}=\frac{\omega \times \lambda }{2\pi }=\frac{\lambda }{2\pi /\omega }=\frac{\lambda }{T}=\lambda f=V$

$\Rightarrow \frac{\omega }{K}=$ Velocity of wave particles (transverse speed)