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NEET · Physics · STD 11 - 9.1 fluid mechanics

Two non-mixing liquids of densities \(\rho \) and \(n \rho \,(n > 1)\) are put in a container. The height of each liquid is \(h.\) A solid cylinder of length \(L\) and density \(d\) is put in this container. The cylinder floats with its axis vertical and length \(\rho L (\rho < 1)\) in the denser liquid. The density \(d\) is equal to

  1. A \([2+(n+1)P]\rho \)
  2. B \([2+(n-1)P]\rho \)
  3. C \([1+(n-1)P]\rho \)
  4. D \([1+(n+1)P]\rho \)
Verified Solution

Answer & Solution

Correct Answer

(C) \([1+(n-1)P]\rho \)

Step-by-step Solution

Detailed explanation

\(d = density\,of\,cylinder\) \(A = area\,of\,cross - section\,of\,cylinder\)