In the case of a fluid, Bernoulli's theorem expresses the application of the principle of conservation of :
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The equation of Bernoulli's has the components of pressure energy, kinetic energy and potential energy. It follows the conservation of energy principle.
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The rate of steady volume flow of water through a capillary tube of length $ 'l' $ and radius $ 'r' $ under a pressure difference of $P$ is $V$. This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is $ P$)
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Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $984 \;kg m^{-3}$. Determine the height (in $m$) of the wine column for normal atmospheric pressure.
A manometer connected to a closed tap reads $3.5 × 10^5 N/m^2$. When the valve is opened, the reading of manometer falls to $3.0 × 10^5 N/m^2$, then velocity of flow of water is ........ $m/s$