Longitudinal and Transverse Waves

In SHM, how velocity is equal to root of tension in string divided by $\mu$?

Two plane-progressive waves in the same phase must have:

The equation of a wave travelling in a string can be written as $y=3 \cos \mathrm{\pi } \left(100t-x\right) \mathrm{cm}$. Its wavelength is 

A plane progressive wave is given by $y=2\cos 6.284(330t-x)$. What is the time period of the wave?

The relation between wavelength $\lambda$ and angular wavenumber $k$of the wave is 

Light waves travel in the form of _____waves.

Progressive waves are waves originating from a source such that they never return to the source.

On an average, a human heart is found to beat $72$ times a minute. Its frequency and period are

A point particle is acted upon by a restoring force $-k{x}^3.$ The time period of oscillation is $T$ when the amplitude is $A.$ The time period for an amplitude $2 A$ will be:

Monochromatic light of frequency $5\times {10}^{14} \mathrm{Hz}$ travelling in vacuum enters a medium of refractive index $1.5$. Its wavelength in the medium is

A point particle is acted upon by a restoring force $-k{x}^3.$ The time period of oscillation is $T$ when the amplitude is $A.$ The time period for an amplitude $2A$ will be:

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

Two waves meet at a point. The waves have a path difference of $\frac{\lambda }{4}.$ The phase difference between the waves is

A ball is moving uniformly in a circular path of radius $1 \mathrm{m}$ with a time period of $1.5 \mathrm{s}$. If the ball is suddenly stopped at $t=8.3 \mathrm{s},$ the magnitude of the displacement of the ball with respect to its position at $t=0 \mathrm{s}$ is closest to:

The frequency of tuning fork is $500 \mathrm{Hz}$ and the velocity of sound in air is $300 \mathrm{m} {\mathrm{s}}^{-1}$. The distance travelled by sound while the fork executes $100$oscillations per second is ______.

What is the relation between angular frequency and the time period of a wave?

The distance between two consecutive crests in a wave train produced in a string is $5 \mathrm{cm}$. If $2$ complete waves pass through any point per second, the velocity of the wave is

Transverse waves are generated in two uniform wires $A$ and $B$ of the same material by attaching their free ends to a vibrating source of frequency $200 \mathrm{Hz}$. The cross-sectional area of $A$ is half that of $B$ while the tension on $A$ is twice that on $B$. The ratio of the wavelengths of the transverse waves in $A$ and $B$ is :

A wire of variable mass per unit length $\mathrm{\mu }={\mathrm{\mu }}_0\mathrm{x},$ is hanging from the ceiling as shown in figure. The length of wire is ${\mathrm{\ell }}_0$. A small transverse disturbance is produced at its lower end. Find the time after which the disturbance will reach to the other ends.

A pulse on a string is shown in the figure. $\mathrm{P}$ is particle of the string. Then state which of the following is incorrect.