The frequency of vibration of string is given by $\nu =\frac{p}{2l}{\left[\frac{F}{m}\right]}^{1/2}$. Here p is number of segments in the string and l is the length. The dimensional formula for m will be

(1) $\left[{M}^{0}L{T}^{-1}\right]$

(2) $\left[M{L}^{0}{T}^{-1}\right]$

(3) $\left[M{L}^{-1}{T}^{0}\right]$

(4) $\left[{M}^{0}{L}^{0}{T}^{0}\right]$

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