Two points on a travelling wave having frequency $500\, Hz$ and velocity $300\, m/s$  are $60^o$ out of phase, then the minimum distance between the two points is ….. $m$

A wave on a string is travelling and the displacement of particles on it is given by $x = A\, sin\, (2t -0.1\, x)$. Then the wavelength of the wave is

A sonometer wire of length $114\, cm$ is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio $1 : 3 : 4$ ?

A string wave equation is given $y=0.002 \sin (300 t-15 x)$ and mass density is $\mu=\frac{0.1\, kg }{m}$. Then find the tension in the string, (in $N$)

The velocity of waves in a string fixed at both ends is $2 m/s$. The string forms standing waves with nodes $5.0 cm$ apart. The frequency of vibration of the string in $Hz$ is