If the terminal speed of a sphere of gold ( density $= 19.5 kg/m^3$) is $0.2\ m/s$ in a viscous liquid (density $= 1.5\ kg/m^3$ ), find the terminal speed (in $m/s$) of a sphere of silver (density $= 10.5\ kg/m^3$) of the same size in the same liquid ...... $m/s$
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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is $ 1.5 gm/cc. $ The pressure difference between the point $P$ and $S$ will be
The terminal velocity of a copper ball of radius $5\,mm$ falling through a tank of oil at room temperature is $10\,cm\,s ^{-1}$. If the viscosity of oil at room temperature is $0.9\,kg\,m ^{-1} s ^{-1}$, the viscous drag force is :
The shown $H$ shaped apparatus contains an ideal incompressible liquid and has dimension as shown in figure . The diameters of the Tubes are small as compared to $h$ and $R$. The apparatus is rotated with a constant angular velocity $\omega$ about a symmetric vertical axis as shown in figure. The pressure at point $A$ is
Asphere of radius $R$ and made of material of relative density $\sigma$ has a concentric cavity of radius $r$. It just floats when placed in a tank full of water. The value of the ratio $R/r$ will be
Two water pipes $P$ and $Q$ having diameters $2$$ \times 10^{-2} $ $m$ and $4$ $\times 10^{-2}$ $m$, respectively, are joined in series with the main supply line of water. The velocity of water flowing in pipe $P$ is
An inverted bell lying at the bottom of a lake $ 47.6 m$ deep has $50$ $cm^3$ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be ......... $cm^3$ (atmospheric pressure $ = 70\,cm$ of $Hg$ and density of $Hg = 13.6$ $cm^3$)
Two bodies having volumes $V$ and $2V $ are suspended from the two arms of a common balance and they are found to balance each other. If larger body is immersed in oil (density $d_1 $ $=$ $ 0.9$ $ gm/cm^3$) and the smaller body is immersed in an unknown liquid, then the balance remain in equilibrium. The density of unknown liquid is given by ......... $gm/cm^3$
A manometer connected to a closed tap reads $4.5 \times {10^5}$ pascal. When the tap is opened the reading of the manometer falls to $4 \times {10^5}$ pascal. Then the velocity of flow of water is ........ $m{s^{ - 1}}$
When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height $H$, then the depth of lake is