here since string is attached with a mass of 2 kg
so here tension force in the rope is given as
[tex]T = mg[/tex]
here we will have
[tex]T = 2(9.8) = 19.6 N[/tex]
now we will have speed of wave given as
[tex]v = \sqrt{\frac{T}{\mu}}[/tex]
here we will have
[tex]v = \sqrt{\frac{19.6}{0.75\times 10^{-2}}}[/tex]
[tex]v = 16.33 m/s[/tex]
now we know that frequency is given as
F = 100 Hz
now wavelength is given as
[tex]\lambda = \frac{v}{F}[/tex]
[tex]\lambda = \frac{16.33}{100} = 0.16 m[/tex]
so wavelength will be 0.16 m
