Viscosity is the property of a liquid due to which it :
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A leak proof cylinder of length $1 \;\mathrm{m},$ made of a metal which has very low coefficient of expansion is floating vertically in water at $0^{\circ} \mathrm{C}$ such that its height above the water surface is $20\; \mathrm{cm} .$ When the temperature of water is increased to $4^{\circ} \mathrm{C},$ the height of the cylinder above the water surface becomes $21 \;\mathrm{cm} .$ The density of water at $\mathrm{T}=4^{\circ} \mathrm{C},$ relative to the density at $\mathrm{T}=0^{\circ} \mathrm{C}$ is close to
A water drop of radius $1\,\mu m$ falls in a situation where the effect of buoyant force is negligible. Coefficient of viscosity of air is $1.8 \times 10^{-5}\,Nsm ^{-2}$ and its density is negligible as compared to that of water $10^{6}\,gm ^{-3}$. Terminal velocity of the water drop is________ $\times 10^{-6}\,ms ^{-1}$
(Take acceleration due to gravity $=10\,ms ^{-2}$ )
A river gradually deepens, from a depth of $4 \ m$ to a depth of $8\ m$ as shown. The width, $W$, of the river does not change. At the depth of $4 \ m$, the river's speed is $12\ m/sec.$ Its elocity at the $8\ m$ depth is ......... $m/sec$
A hydraulic press can lift $100\, kg$ when a mass $'m'$ is placed on the smaller piston. It can lift ......... $kg$ when the diameter of the larger piston is increased by $4$ times and that of the smaller piston is decreased by $4$ times keeping the same mass $'m'$ on the smaller piston.
The vessel shown in the figure has two sections. The lower part is a rectangular vessel with area of cross-section $A$ and height $h$. The upper part is a conical vessel of height $h$ with base area $‘A’$ and top area $‘a’$ and the walls of the vessel are inclined at an angle $30^o$ with the vertical.A liquid of density $\rho$ fills both the sections upto a height $2h$. Neglecting atmospheric pressure.
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
If it takes $5\,minutes$ to fill a $15\,litre$ bucket from a water tap of diameter $\frac{2}{{\sqrt \pi }}cm$ then the Reynolds number for the flow is (density of water $= 10^3\,kg/m^3$ ) and viscosity of water $= 10^{-3}\,Pa.s$ ) close to
The atmospheric pressure at a place is $10^5 \,Pa$. If tribromomethane (specific gravity $=2.9$ ) be employed as the barometric liquid, the barometric height is .......... $m$