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An object falling through a fluid is observed to have acceleration given by $a = g -bv$ where $g =$ gravitational acceleration and $b$ is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is
A vertical triangular plate $ABC$ is placed inside water with side $BC$ parallel to water surface as shown. The force on one surface of plate by water is (density of water is $\rho $ and atmospheric pressure $P_0$ )
The water is filled upto height of $12\, {m}$ in a tank having vertical sidewalls. A hole is made in one of the walls at a depth $'{h}'$ below the water level. The value of $'h'$ for which the emerging stream of water strikes the ground at the maximum range is $.....\,{m}$.
A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $10 \mathrm{~N}$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is_________.${N}$.
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
A cylinder stands vertical in two immiscible liquids of densities $\rho$ and $2 \rho$. The height of two liquids are shown. Find the difference in pressure at point $A$ and $B$
Water containing air bubbles flows without turbulence through a horizontal pipe which has a region of narrow cross-section. In this region, the bubbles
Two capillary tubes of the same length but different radii $r_1 $ and $r_2$ are fitted in parallel to the bottom of a vessel. The pressure head is $ P. $ What should be the radius of a single tube that can replace the two tubes so that the rate of flow is same as before
A cubical block of side $0.5\,m$ floats on water with $30\%$ of its volume under water. ....... $kg$ is the maximum weight that can be put on the block without fully submerging it under water ? [Take density of water $= 10^3\,kg/m^3$ ]
Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]