A wave travels along a string. If the tension in the string is doubled while the linear mass density remains constant, what happens to the speed of the wave?

The equation for spherical progressive wave is (where $r$ is the distance from the source)

A wave equation is given by $y = 4\,\,\sin \left[ {\pi \left( {\frac{t}{5} - \frac{x}{9} + \frac{1}{6}} \right)} \right]$ where $x$ is in $cm$ and $t$ is in second. Which of the following is true?

$y = 3\,\,\,\sin \,\,\pi \left( {\frac{1}{2} - \frac{x}{4}} \right)$ 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

The equation of a spherical progressive wave is

The equation of sound wave is $y = 0.0015\,\,\sin \left( {62.4x\,\, + \,\,316\,t} \right)$ The wavelength of this wave is

If the wave equation$y = 0.08\,\,\sin \frac{{2\,\pi }}{\lambda }\left( {200\,t - x} \right)$ then the velocity of the wave will be

The function ${\sin ^2}\,\,\left( {\omega t} \right)$ represents

Which of the following equations represents a wave?

The equation of transverse wave is given by

$y = 100\,\,\,\sin \,\,\pi \left( {0.04z - 2t} \right)$

Where $y$ and $z$ are in cm and $t$ is in seconds. The frequency of the wave in $Hz$ is

The amplitude of wave disturbance propagating in positive direction of $X$ –axis is given by ${\rm{y}} = \frac{1}{{1 + {{\rm{x}}^2}}}$ at $t = 0$ and by ${\rm{y}} = \frac{1}{{1 + {{\left( {{\rm{x}} - 1} \right)}^2}}}$ at $t = 2\,s$ where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during propagation. The velocity of the wave is