Speed of a Travelling Wave

The equation of the standing wave is $y=0.02 \cos \left(\frac{2\mathrm{\pi }x}{60}\right)\sin \left(150\mathrm{\pi }t\right)$. Then the maximum velocity of the particle at a distance $10 \mathrm{m}$ is,

A sound wave has frequency of $2 \mathrm{kHz}$ and wavelength of $35 \mathrm{cm}$. If an observer is $1.4 \mathrm{km}$ away from the source, after what time interval could the observer hear the sound?

Two pulses A and B have instantaneous velocities as shown by arrows. In which direction do these pulses travel in time?

Fill in the blanks.
Wave velocity $=$ _____ $\times$ _____.

A piano wire has a linear mass density $4.95\times {10}^{-3} \mathrm{kg}/\mathrm{m}$. Under what tension must the string be kept to produce waves with a wave speed of $500\mathrm{m}/\mathrm{s}$?

Derivation of Speed of a Transverse Wave by Dimensional Analysis in a string.

Derive an expression of the speed of a longitudinal wave dimensionally.

Write the speed of the transverse wave. Show the formulae is in consistent with the dimensional analysis.

Speed of a transverse wave in a string depends on the tension and linear mass density of the string. Find the formula for the speed of the wave in the string.

The speed of longitudinal waves in a solid bar is given by

What is the correct expression for the speed of the longitudinal waves?

What was the Laplace correction for the speed of longitudinal wave in an ideal gas?

Derive the Newton$\text{'}$s formula for the speed of a longitudinal wave in an ideal gas.

Why the sound waves travel faster in solids and liquids than gases?

Compare the velocities of the waveforms given below, and choose the correct option.

Two graphs of the same harmonic wave are shown below. The graph $\left(1\right)$ on the left shows the displacement of wave $y$, as a function of position $x$ for a given instant of time. The graph $\left(2\right)$ on the right shows the displacement of the wave as a function of time $t$ for a given position. The speed of the wave is

Wavelength of a wave travelling at a speed of $340 \mathrm{m} {\mathrm{s}}^{-1}$ is $170 \mathrm{cm}$. Its frequency is _____$\mathrm{Hz}$ .

Establish a relationship between wavelength, frequency and speed of sound in a medium.

An ultrasound scanner sends ultrasonic waves at a speed of $1.5 \mathrm{km} {\mathrm{s}}^{-1}$ at a frequency of $4.0 \mathrm{MHz}$. Find the wavelength of ultrasound in the target tissue.

A sound wave travels at a speed of $339 \mathrm{m} {\mathrm{s}}^{-1}$. If the wavelength is $1.3 \mathrm{cm}$, what is the frequency of the wave?