A flexible string of linear mass density μ is kept under a steady tension T. Transverse waves travel along the string with speed v.
(i) Write the dimensional formulas of v, T and μ.
(ii) Obtain an expression for v in terms of T and μ, leaving your answer up to a dimensionless constant k.
(iii) From the expression found in part (ii), state quantitatively how the wave speed changes
(a) if the tension is quadrupled, while μ remains unchanged,
(b) if the linear mass density is made four times, while T remains unchanged.