A light string with a mass per unit length of 8.00 g/m has its ends tied to two walls separated by distance equal to three - fourth the length of the string .An object of mass m is suspended from the center of the string , putting a tension in the string then transverse wave speed in the string as a function of hanging mass

Question

$(a)\;\sqrt{mg} \;m/sec\qquad(b)\;\large\frac{1}{4} \sqrt{mg \times 10^{3} } m/s\qquad(c)\;\large\frac{1}{8} \sqrt{5mg \times 10^{3} } m/s\qquad(d)\;None$