A long metal rod of length  and relative density σ is held vertically with its lower end…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

A long metal rod of length and relative density σ is held vertically with its lower end just touching the surface of water. The speed of the rod when it just sinks in water is given by
  1. \(\sqrt{2 \mathrm{~g} \ell}\)
  2. \(\sqrt{2 \mathrm{~g} \ell \sigma}\)
  3. \(\sqrt{2 g \ell\left(1-\frac{1}{2 \sigma}\right)}\)
  4. \(\sqrt{2 \mathrm{~g} \ell(2 \sigma-1)}\)

Answer

(C) 2 g (1- 1 2 )

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