Water is flowing through a horizontal pipe of non-uniform cross-section. At the extreme narrow portion of the pipe, the water will have
A
Maximum speed and least pressure
B
Maximum pressure and least speed
C
Both pressure and speed maximum
D
Both pressure and speed least
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A
Maximum speed and least pressure
a (a)
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A metal block of base area $0.20\,m ^2$ is placed on a table, as shown in figure. A liquid film of thickness $0.25\,mm$ is inserted between the block and the table. The block is pushed by a horizontal force of $0.1\,N$ and moves with a constant speed. If the viscosity of the liquid is $5.0 \times 10^{-3} \;Pa-s$, the speed of block is $.........\times 10^{-3}\,m / s$
By sucking through a straw, a student can reduce the pressure in his lungs to $750\, mm\, of\, Hg$ (density $= 13.6\, gm/cm^3$). Using the straw, he can drink water from a glass upto a maximum depth of ....... $cm$
Two cubical blocks identical in dimensions float in water in such a way that $1^{st}$ block floats with half part immersed in water and second block floats with $3 / 4$ of its volume inside the water. The ratio of densities of blocks is $..........$
Assertion $(A):$ The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.
Reason $(R):$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
A tank $5\, m$ high is half-filled with water and then is filled to the top with oil of density $0.85\, g/cm^3$. The pressure at the bottom of the tank, due to these liquids is ....... $g\, dyne/cm^2$
If a ball of steel (density $\rho=7.8 \;gcm ^{-3}$) attains a terminal velocity of $10 \;cms ^{-1}$ when falling in a tank of water (coefficient of viscosity $\eta_{\text {water }}=8.5 \times 10^{-4} \;Pa - s$ ) then its terminal velocity in glycerine $\left(\rho=12 gcm ^{-3}, \eta=13.2\right)$ would be nearly