Two students studying waves wrote down different expressions for the speed v of a progressive wave on a stretched string. Student A wrote v=2πTλ, while Student B wrote v=2πλT, where λ is the wavelength and T is the period of the wave.
Answer the following questions:
(i) Which of the two expressions has units consistent with the dimensions of speed?
(ii) Show, by comparing the units on both sides, how you arrived at your conclusion.
(iii) Write the generally accepted relation between v, λ and T, and also the corresponding relation between v, ω and k.