$A$ boat at anchor is rocked by waves whose crests are $100 \ m$ apart and velocity is $25 \ m/s$. The boat bounces up once in every: ... $s$

The equation of a sound wave is $y = 0.0015 \sin (62.4x + 316t)$. The wavelength of this wave is ..... $unit$.

$A$ transverse wave is represented by $y = A \sin(\omega t - kx)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

$A$ wave with a frequency of $100 \, Hz$ has a velocity of $10 \, m/s$. What is the phase difference between two particles separated by a distance of $2.5 \, cm$?

The distance between two consecutive points with a phase difference of $60^{\circ}$ in a wave of frequency $500\,Hz$ is $6.0\,m$. The velocity with which the wave is traveling is $.........\,km/s$.

$A$ wave is represented by the equation $y = (0.02 \ m) \sin (5 \pi x - 20 t)$. The minimum distance between two particles always having the same speed is: (Assume $x$ and $t$ are in $SI$ units) (in $m$)