Suppose that a string of length L and mass m is under tension F. (a) Show that

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Suppose that a string of length L and mass m is under tension F. 

(a) Show that  has units of speed. 

(b) Show that there is no other combination of L, m, and F with units of speed. Thus, the speed of transverse waves on the string can only be some dimensionless constant times .

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