A string of length $L$ and mass $M$ hangs freely from a fixed point. Then the velocity of transverse waves along the string at a distance $x$ from the free end is

Obtain the equation of speed of transverse wave on tensed (stretched) string.

The mass per unit length of a uniform wire is $0.135\, g / cm$. A transverse wave of the form $y =-0.21 \sin ( x +30 t )$ is produced in it, where $x$ is in meter and $t$ is in second. Then, the expected value of tension in the wire is $x \times 10^{-2} N$. Value of $x$ is . (Round-off to the nearest integer)

Which of the following statements is incorrect during propagation of a plane progressive mechanical wave ?

The linear density of a vibrating string is $1.3 \times 10^{-4}\, kg/m.$ A transverse wave is  propagating on the string and is described by the equation $Y = 0.021\, \sin (x + 30t)$ where $x$ and $y$ are measured in meter and $t$ in second the tension in the  string is ..... $N$

A sound is produced by plucking a string in a musical instrument, then