A horizontally oriented copper rod of length \( l \) is rotated about a vertical axis passing th...

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A horizontally oriented copper rod of length \( l \) is rotated about a vertical axis passing through its middle. If the rotated - frequency at which the rod ruptures is \( \frac{1}{2 \pi} \sqrt{\frac{N \sigma}{\rho l^{2}}} \) then \( N \) is . (Given : Breaking or rupture strength of copper of \( \sigma \) and density of copper is \( \rho \).)
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