Physics

Problem

The speed

v

of transverse waves on a stretched string depends only on the tension

F

in the string and its linear mass density

\mu

. Which relation is consistent with dimensional considerations? a)

v \propto F^{-1/2}\,\mu^{-1/2}

v \propto F^{1/2}\,\mu^{1/2}

v \propto F^{1/2}\,\mu^{-1/2}

v \propto F\,\mu^{-1}