Two immiscible liquids $A$ and $B$ are kept in an U-tube. If the density of liquid $A$ is smaller than the density of liquid $B$, then the equilibrium situation is
None of these
An inverted tube barometer is kept on a lift with a moving downward with a deceleration $\alpha $ . The density of mercury is $\rho$ and acceleration due to gravity is $g$ . If the atmospheric pressure be $P_0$ then
At a hydroelectric power plant, the water pressure head is at a height of $300\; m$ and the water flow available is $100\; m ^{3} \,s ^{-1} .$ If the turbine generator efficiency is $60 \%,$ estimate the electric power available from the plant (in $MW$) $\left(g=9.8 \;m\,s ^{-2}\right)$
In the figure shown, the heavy cylinder (radius $R$) resting on a smooth surface separates two liquids of densities $2\ \rho$ and $3\ \rho$ . The height $‘h’$ for the equilibrium of cylinder must be
A cylinder of radius $4\ cm$ and height $10\ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$ . $2\ cm$ of cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.
An open-ended $U$-tube of uniform cross-sectional area contains water (density $1.0 $ gram/centimeter$^3$) standing initially $20$ centimeters from the bottom in each arm. An immiscible liquid of density $4.0$ grams/ centimeter $^3$ is added to one arm until a layer $5$ centimeters high forms, as shown in the figure above. What is the ratio $h_2/h_1$ of the heights of the liquid in the two arms?