Question: Suppose that a string of length L and mass m is under tension F. (a) Show that (FL/m has units of speed. (b) Show that

Suppose that a string of length L and mass m is under tension F.
(a) Show that (FL/m has units of speed.
(b) Show that there is no other combination of L, m, and F with units of speed. [Of the dimensions of the three quantities L, m, and F, only F includes time.] Thus, the speed of transverse waves on the string can only be some dimensionless constant times (FL/m.

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