Assuming that the frequency γ of a vibrating string may depend upon i) applied force (F) ii) length (l) iii) mass per unit length (m), prove that ϒ ∝ 1lFm using dimensional analysis. - Physics | Shaalaa.com
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SOLVED:A homogeneous rope of mass per unit length λand length l kept on ground and one end of the rope is fixed to ground at O . The left end of the rope (with respect to fixed end) is pulled by an external agent which imparts constant velocity v to it. Find the work done by the external agent (in joule) to place the moving end extremely right with respect to fixed end. Take λ=1 kg / m, v=1 ms^-1 and l=1 m
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