Explanation:
The speed of a wave on the string is given by :
[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]..........(1)
where
T is the tension force
[tex]\mu[/tex] is mass of the string per unit length, [tex]\mu=\dfrac{M}{L}[/tex]
M is the mass of the string
L is the length of the string
So, it is clear from equation that the speed of waves on a string is directly proportional to the square root of tension and length of the string. It is inversely proportional to the square root of the mass of the string.