A tank is filled by liquid of density $\rho$ upto height $H$. The average pressure on the walls of container is .....
$PgH$
$\frac{1}{2} \rho g H$
$\frac{1}{4} \rho g H$
$\frac{1}{8} \rho g H$
Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
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 $\rho_w$ ) and its neck is filled with immiscible oil (density $\rho_0$ ). Then, the pressure at
A vertical U-tube of uniform cross-section contains water in both the arms. A $10 \,cm$ glycerine column ($R.D$. $=1.2$ ) is added to one of the limbs. The level difference between the two free surfaces in the two limbs will be ...... $cm$
Mention two instruments which measure the atmospheric pressure.
In a $U-$ tube experiment, a column $AB$ of water is balanced by a column $‘CD’$ of oil, as shown in the figure. Then the relative density of oil is