Write the equation for wave speed in terms of wavelength and frequency.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The wave speed $(v)$ is defined as the distance traveled by a wave per unit time.
For a periodic wave,the distance traveled in one time period $(T)$ is equal to one wavelength $(\lambda)$.
Therefore,the wave speed is given by the ratio of wavelength to the time period: $v = \frac{\lambda}{T}$.
Since the frequency $(f)$ is the reciprocal of the time period $(f = \frac{1}{T})$,we can substitute this into the equation.
Thus,the equation for wave speed in terms of wavelength and frequency is: $v = f \lambda$.

Explore More

Similar Questions

$A$ travelling wave in a stretched string is described by the equation $y = A\sin (kx - \omega t)$. The maximum particle velocity is

The equation of a wave traveling along the $x$-axis is given by $y(x, t) = 0.005 \cos(\alpha x - \beta t)$. If the wavelength and time period of the wave are $0.08 \ m$ and $2.0 \ s$ respectively,find the values of $\alpha$ and $\beta$ in appropriate units.

The displacement $y$ (in $cm$) produced by a simple harmonic wave is $y = \frac{10}{\pi} \sin \left( 2000\pi t - \frac{\pi x}{17} \right)$. The periodic time and maximum velocity of the particles in the medium will respectively be

The distance between two successive minima of a transverse wave is $2.7 \ m$. Five crests of the wave pass a given point along the direction of travel every $15.0 \ s$. The speed of the wave is (in $m \ s^{-1}$)

For a travelling harmonic wave $y(x, t) = 2.0 \cos 2\pi(10 t - 0.0080 x + 0.35)$, where $x$ and $y$ are in $\text{cm}$ and $t$ in $\text{s}$. The phase difference between oscillatory motion of two points separated by a distance of $0.5 \text{ m}$ is: (in $\pi \text{ rad}$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo