A wire of length L is hanging vertically from a rigid support. If a transverse wave pulse is generated at the free end of the wire, then which of the following statements is wrong?

At a distance ‘x’ from the free end tension is 
Given by  $T=\frac{M}{2}\times ,g=\mu gx$
 $speedv=\sqrt{\frac{T}{\mu }}=\sqrt{\frac{\mu gx}{\mu }},v=\sqrt{gx}$

$\begin{array}{l}Also\frac{dx}{dt}=\sqrt{gx},\underset{0}{\overset{L}{\int }}\frac{dx}{\sqrt{x}}=\underset{0}{\overset{T}{\int }}dt\\ aftersolvingT=2\sqrt{\frac{L}{g}}\\ Alsoa=\frac{dv}{dt}=\frac{dv}{dx}\frac{dx}{dt}\\ a=\left(\frac{dv}{dn}\right)\left(v\right)a=\left(\frac{\sqrt{g}}{2\sqrt{x}}\right)\left(\sqrt{gn}\right),a=g/2\end{array}$