The particle displacement due to a sound wave is given by $y=2.15\times {10}^{-3}\sin (100\pi t-\pi /300x)$, where $x$ and $y$ are in $\mathrm{cm}$ and $t$ in seconds. Write down the amplitude, frequency, wavelength and velocity of the wave.

A harmonic transverse wave travelling on a string has an amplitude of $2 \mathrm{cm}$, wavelength of $1.25 \mathrm{m}$ and velocity of $5 \mathrm{m}/\mathrm{s}$ in $+x$ -direction. At $t=0$, this wave has a crest at $x=0$. Find the wave equation $y=f(x, t)$.

There are two corks $\mathrm{A}$ and $\mathrm{B}$ at a separation $\Delta x$, lying on a water wave. Assume it as a transverse wave having wavelength $\lambda$ moving along $+x$ -direction. Find $\mathrm{\Delta x}$ if the

$\mathrm{KE}$

There are two corks A and B at a separation $\Delta x$, lying on a water wave. Assume it as a transverse wave having wavelength $\lambda$ moving along $+x$ -direction. Find $\mathrm{\Delta x}$ if the

momenta of two identical corks on the wave will be equal.

Two sources $S_1$ and $S_2$ emit transverse wave with wavelengths $\lambda =1 \mathrm{m}$ and having zero phase angles. If their frequency is $10 \mathrm{Hz}$ and the separation distance between the sources is $\Delta x=\frac{1}{4} \mathrm{m}$. Find the phase difference between the waves at some point ( say P) if the sources start emitting waves at

$t=0$ simultaneously

Two sources $S_1$ and $S_2$ emit transverse wave with wavelengths $\lambda =1 \mathrm{m}$ and having zero phase angles. If their frequency is $10 \mathrm{Hz}$ and the separation distance between the sources is $\Delta x=\frac{1}{4} \mathrm{m}$. Find the phase difference between the waves at some point ( say P) if the sources start emitting waves at

$t_1=0$ and ${\mathrm{t}}_2=1\mathrm{s}$ respectively.

The equation of a progressive wave is given by $y=0.20\sin 2\pi \left(60t-\frac{x}{5}\right)$ where $x$ and $y$ are in metre and tis in second. Find the

phase difference between two particles separated by a distance of $\Delta x=125 \mathrm{cm}$,