Embibe Experts Solutions for Chapter: Fluid Mechanics, Exercise 1: Assam CEE 2017

A piece of ice is floating in a beaker containing water, when the ice melts then the level of water will:

The liquid shown in the figure in the two arms is mercury (specific gravity $13.6$) and water. If the difference of heights of the mercury column is $2 \mathrm{cm}$, the height $h$ of the water column is

Two glasses with identical volumes are filled with water to the half-way mark and are kept side by side. Two solid cubes made of the same metal are now dropped into the two glasses and both of them sink in the water. The first glass is completely filled now. The second glass is still ${\frac{7}{16}}^{\mathrm{th}}$ empty. The ratio of the surface areas of the cubes dropped into the first and the second glass is

A vessel contains oil (density $0.8 \mathrm{g} {\mathrm{cm}}^{-3}$) over mercury (density $13.6 \mathrm{g} {\mathrm{cm}}^{-3}$). A homogeneous sphere floats with half volume immersed in mercury and the other half in oil. What will be the density (in $\mathrm{g} {\mathrm{cm}}^{-3}$) of the material of the sphere?