Mechanical Properties of Fluids

A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $\left(v\right)$ as a function of time $\left(t\right)$ is

A $U$tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10\mathrm{mm}$above the water level on the…

A capillary tube of radius $r$ is immersed in water and water rises in it to a height $h$. The mass of the water in the capillary is $5g$. Another capillary tube of radius $2r$ is immersed in water. The mass of water…

A certain number of spherical drops of a liquid of radius $r$ coalesce to form a single drop of radius $R$ and volume $V.$ If $T$ is the surface tension of the liquid then:

A wind with speed $40ms^{-1}$ blows parallel to the roof of a house. The area of the roof is $250m^{2}$ . Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof…

A small hole of area cross-section $2mm^{2}$ is present near the bottom of a fully filled open tank of height $2m.$ Taking $g=10ms^{-2}$, the rate of flow of water through the open hole would be nearly

A rectangular film of liquid is extended from $(4\mathrm{}\mathrm{cm}\times\,2\mathrm{}\mathrm{cm})$ to $(5\mathrm{}\mathrm{cm}\times\,4\mathrm{}\mathrm{cm})$. If the work done is $3\times\,10^{-4}J$, the value of the…

In the measurement of viscosity of liquids using terminal velocity experiment, spherical balls of same radius but having different densities are used. The variation of the terminal velocity ($v$) with the ratio of…

Two non-mixing liquids of densities $\rho$ and n$\rho$n>1 are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis…

A barometer is constructed using a liquid (density \$=760kgm^{-3}$) What would be the height of the liquid column, when a mercury barometer reads \$76cm?$(density of mercury \$=13600kgm^{-3}$)

A wind with speed 40 m s-1 blows parallel to the roof of a house. The area of the roof is 250 m2 . Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the…

A U tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side.…