A healthy adult of height $1.7 \mathrm{m}$ has an average blood pressure (BP) of $100 \mathrm{mm}$ of $\mathrm{Hg}$. The heart is typically at a height of $1.3 \mathrm{m}$ from the foot. Take, the density of blood to be ${10}^3 \mathrm{kg}/{\mathrm{m}}^3$ and note that $100 \mathrm{mm}$ of $\mathrm{Hg}$ is equivalent to $13.3\mathrm{kPa}$ (kilo pascals). The ratio of BP in the foot region to that in the head region is close to
 

Water stands upto height $\text{'}h\text{'}$ behind the dam as shown in the figure. The front view of the dam gate is also shown in the adjoining figure. Density of water is $\text{'}\rho \text{'}$ and acceleration due to gravity is $\text{'}g\text{'}$. If atmospheric pressure force is also considered, the point of application of total force acting on the dam due to water above $\text{'}o\text{'}$ is_____

A barometer is constructed using a liquid (density $=760 \mathrm{kg} {\mathrm{m}}^{-3}$). What would be the height of the liquid column, when a mercury barometer reads $76 \mathrm{cm}?$

(density of mercury $=13600 \mathrm{kg} {\mathrm{m}}^{-3}$)

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

A spherical marble of radius $1 \mathrm{cm}$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \mathrm{cm}$ and filled with water up to $10 \mathrm{cm}$. If the mass of the marble is $20 \mathrm{g}$, the net force on the marble due to water is close to

An open-ended U-tube of uniform cross-sectional area contains water (density ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$ ). Initially the water level stands at $0.29 \mathrm{m}$ from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density $800 \mathrm{kg} {\mathrm{m}}^{-3}$ is added to the left arm until its length is $0.1 \mathrm{m}$, as shown in the schematic figure below. The ratio $\left(\frac{h_1}{h_2}\right)$ of the heights of the liquid in the two arms is

A cylindrical vessel of base radius $R$ and height $H$ has a narrow neck of height $h$ and radius $r$ at one end (see figure). The vessel is filled with water (density ${\rho }_{\mathit{w}}$ ) and its neck is filled with immiscible oil (density ${\rho }_0$). Then the pressure at;