A string of uniform thickness and length I is subjected to a tensile force F. It vibrates…

Physics · NEET · NTA ExamsPhysics and Measurement

A string of uniform thickness and length \(\text { I }\) is subjected to a tensile force F. It vibrates with frequency \(\boldsymbol{v}\) in p segments such that the relation \(v=\frac{p}{21}\left(\frac{F}{m}\right)^{\frac{1}{2}}\) holds good. If p is a number and \(\boldsymbol{v}\) is frequency, then the dimensional formula of m is

  1. M
  2. ML-1T0
  3. \(\text { MLT }\)
  4. \(\mathrm{ML}^{-3} \mathrm{~T}^{-4}\)

Answer

(B) ML -1 T 0

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