Answer:
[tex]v' = 2.83 m/s[/tex]
Explanation:
Velocity of wave in stretched string is given by the formula
[tex]v = \sqrt{\frac{T}{\mu}}[/tex]
here we know that
T = 4 N
also we know that linear mass density is given as
[tex]\mu = 1 kg/m[/tex]
so we have
[tex]v = \sqrt{\frac{4}{1}} = 2 m/s[/tex]
now the tension in the string is double
so the velocity is given as
[tex]v' = \sqrt{\frac{8}{1}} = 2\sqrt2 m/s[/tex]
[tex]v' = 2.83 m/s[/tex]