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Physics · PYQ NEET UG 2016(1)
हिन्दीTwo 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 \( pL \) \( (p < 1) \) in the denser liquid. The density \( d \) is equal to
Correct answer · Option 3
\( [1 + (n-1)p]\rho \)
Explanation
By Archimedes' principle, Weight of cylinder = Upthrust from both liquids. \( A L d g = A (pL) (n\rho) g + A (L - pL) \rho g \implies d = p n \rho + (1 - p)\rho = [1 + (n-1)p]\rho \).
