Question

The same progressive wave is represented by two graphs $I$ and $II$. Graph $l$ shows how the displacement $y$ varies with the distance $x$ along the wave at a given time. Graph $II$ shows how $y$ varies with time $t$ at a given point on the wave. The ratio of measurements $AB$ to $CD,$ marked on the curves, represents

• A. wave number $k$
• B. frequency $v$
• C. wave speed $V$
• D. angular frequency $\omega$

Answer 1

The correct option is C wave speed $V$

Wavelength is the minimum distance between two particles of the medium in same phase, when a wave is passing through a medium.

Time period is the time taken by a particle of a medium to complete one vibration.
$AB=\lambda$
$CD=T$
$\frac{AB}{CD}=\frac{\lambda }{T}=f\lambda =V$
$i.e$., wave speed
Final answer: $\left(b\right)$