If the frequency of a wave is doubled, and the speed remains constant, what happens to the wavelength?

A wave travels in a medium according to the equation of displacement given by

$y\left( {x,t} \right) = 0.03\,\,\sin \left( {2t - 0.01x} \right)$

Where $y$ and $x$ are in metres and t in seconds. The wavelength of the wave is

‘SONAR’ emits which of the following waves

Equation of progressive wave is$y = a\,\,\sin \left[ {10\,\pi x + 11\,\pi t + \frac{\pi }{3}} \right]$

$y = 3\,\,\,\sin \,\,\pi \left( {\frac{1}{2} - \frac{x}{4}} \right)$ Represents an equation of a progressive wave, where $t$ is in second an $x$ is in metre. The distance travelled by the wave in $5{\rm{ }}s$ is

Find the frequency of minimum distance between compression & rarefraction of a wire. If the length of the wire is $1\,\,m$ & velocity of sound in air is $360\,\,m/s$

In a progressive wave, the particles of the medium:

A wave travelling along the x-axis is described by the equation $y\left( {x,t} \right) = 0.005\,\,\,cos\left( {\alpha x - \beta t} \right)$. If the wavelength and the time period of the wave are $0.08{\mkern 1mu} {\mkern 1mu} \,\,m\,\,\,and\,\,2.0{\mkern 1mu} {\mkern 1mu} s$, respectively, than $\alpha \,\,and\,\beta$ in appropriate unit are

Two travelling waves ${y_1} = A\,\,\sin \left[ {k\left( {x - ct} \right)} \right]$ and ${y_2} = A\,\,\sin \left[ {k\left( {x + ct} \right)} \right]$ are superimposed on string. The distance between adjacent nodes is

The equation of a cylindrical progressive wave is

A transverse wave of amplitude $0.5\,\,m$ and wavelength $1m$ and frequency $2\,\,Hz$ is propagating in a string in the negative $x$-direction. The expression for this wave is