Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure $p$ at points along the axis is represented by
Medium
Download our app for free and get started
(a)When cross-section of duct is decreased, the velocity of water increased and in accordance with Bernoulli’s theorem, the pressure $P $ decreased at that place.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A small sphere of mass $m$ is dropped from a great height. After it has fallen $100\; m$ , it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first $ 100 \;m $ of fall is
Alarge tank is filled with water to a height $H$.A small hole is made at the base of the tank. It takes $T_1$ time to decrease the height of water to $H/ \eta , (\eta > 1)$ and it takes $T_2$ time to take out the rest of water. If $T_1 = T_2$ , then the value of $\eta$ 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
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
A triangular lamina of area $A$ and height h is immersed in a liquid of density $\rho $ in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is
An incompressible fluid flows steadily through a cylindrical pipe which has radius $2r$ at point $A $ and radius $r $ at $B $ further along the flow direction. If the velocity at point $A$ is $v, $ its velocity at point $B$ is
The blades of a windmill sweep out a circle of area $A$. If the wind flows at a velocity $b$ perpendicular to the circle, then the mass of the air of density $\rho $ passing through it in time $t$ is
There is a $1\, mm$ thick layer of glycerine between a flat plate of area $100\, cm^2$ and a big plate. If the coefficient of viscosity of glycerine is $1.0\, kg\, (m-s)$, then ....... $N$ force is required to move the plate with a velocity of $7\, cm/s$ .