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 ..... $N$

Write definition and dimensional formula of linear mass density of string.

A string of mass $m$ and length $l$ hangs from ceiling as shown in the figure. Wave in string moves upward. $v_A$ and $v_B$ are the speeds of wave at $A$ and $B$ respectively. Then $v_B$ is

A steel wire has a length of $12$ $m$ and a mass of $2.10$ $kg$. What will be the speed of a transverse wave on this wire when a tension of $2.06{\rm{ }} \times {10^4}$ $\mathrm{N}$ is applied ?

A uniform rope of mass $6\,kg$ hangs vertically from a rigid support. A block of mass $2\,kg$ is attached to the free end of the rope. A transverse pulse of wavelength $0.06\,m$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top is (in $m$ )

Write equation of transverse wave speed for stretched string.