A cubical block of steel of each side equal to $l$ is floating on mercury in a vessel. The densities of steel and mercury ar $\rho _s$ and $\rho _m$ . The height of the block above the mercury level is given by

  • A

    $l\left( {1 + \frac{{{\rho _s}}}{{{\rho _m}}}} \right)$

  • B

    $l\left( {1 - \frac{{{\rho _s}}}{{{\rho _m}}}} \right)$

  • C

    $I\left( {1 + \frac{{{\rho _m}}}{{{\rho _s}}}} \right)$

  • D

    $l\left( {1 + \frac{{{\rho _m}}}{{{\rho _s}}}} \right)$

Similar Questions

A cork is submerged in water by a spring attached to the bottom of a pail. When the pail is kept in a elevator moving with an acceleration downwards, the spring length

Two solids $A$  and $ B$ float in water. It is observed that $A$  floats with half its volume immersed and $B$  floats with $2/3$  of its volume immersed. Compare the densities of $A$ and $B$

A boy has $60\, kg$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is $0.6$, what is the minimum volume of wooden log? (density of river water is $1000\, kg/m^3$)

  • [AIIMS 2010]

Determine the equation for the volume of body’s partially part immersed in a fluid for the floating body.

Two cubical blocks identical in dimensions float in water in such a way that $1$ st block floats with half part immersed in water and second block floats with $3 / 4$ of its volume inside the water. The ratio of densities of blocks is ..........