Water is moving with a speed of $5.18 ms^{-1}$ through a pipe with a cross-sectional area of $4.20 cm^2$. The water gradually descends $ 9.66 m $ as the pipe increase in area to $7.60 cm^2$. The speed of flow at the lower level is ....... $ms^{-1}$
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.*
Air streams horizontally past an air plane. The speed over the top surface is $60 \,m / s$ and that under the bottom surface is $45 \,m / s$. The density of air is $1.293 \,kg / m ^3$, then the difference in pressure is ....... $N / m ^2$
Two water pipes $P$ and $Q$ having diameter $2 \times 10^{-2} \,m$ 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 ........
Mumbai needs $1.4 \times 10^{12} L$ of water annually. Its effective surface area is $600 \,km ^2$ and it receives an average rainfall of $2.4 \,m$ annually. If $10 \%$ of this rain water is conserved, it will meet approximately
An object suspended by a wire stretches it by $10 \,mm$. When object is immersed in a liquid the elongation in wire reduces by $\frac{10}{3} \,mm$. The ratio of relative densities of the object and liquid is ............
A bottle has a thin nozzle on top. It is filled with water, held horizontally at a height of $1 \,m$ and squeesed slowly by hands, so that the water jet coming out of the nozzle hits the ground at a distance of $2 \,m$. If the area over which the hands squeese it is $10 \,cm ^{2}$, the force applied by hand is close to .......... $N$ (take, $g=10 \,m / s ^{2}$ and density of water $=1000 \,kg / m ^{3}$ )
At shallow depth $h$, the pressure in the ocean is simply given by $P = P_0 + \rho gh$, in which $\rho$ is the density of water and $P_0$ is the air pressure. As we go deeper, the high pressure causes the water to compress and become denser. Which of the following sketches illustrates the correct dependence of the pressure on the depth $h$ ?