A liquid flows in a tube from left to right as shown in figure. ${A_1}$ and ${A_2}$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds ${v_1}/{v_2}$ will be
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.*
The pressure acting on a submarine is $3 \times 10^{5}\;Pa$ at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is $1 \times 10^{5} \;Pa$ density of water is $10^{3}\, kg \,m ^{-3}, g =10 \,ms ^{-2}$ )
A cylinder of height $h$ is filled with water and is kept on a block of height $h / 2$ . The level of water in the cylinder is kept constant. Four holes numbered $1, 2, 3$ and $4$ are at the side of the cylinder and at heights $0,\ h / 4,\ h / 2$ and $3h / 4$ respectively. When all four holes are opened together, the hole from which water will reach farthest distance on the plane $PQ$ is the hole number
For the situation shown in the figure, water flows on the surface of a fixed plate. The
velocity of water as a function of distance $'y'$ is given as : $u = \alpha \left[ {\frac{y}{h} - 2{{\left( {\frac{y}{h}} \right)}^2}} \right]$ . Determine the magnitude of the shear stress that the water applies at the base of the plate. Coefficient of viscosity is $\eta$
A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is $5\, cm$ and the angular speed of rotation is $\omega\; rad \,s^{-1}$. The difference in the height, $h($ in $cm )$ of liquid at the centre of vessel and at the side will be
A ball is made of a material of density $\rho$ where $\rho_{oil} < \rho < \rho_{water}$ with $\rho_{oil}$ and $\rho_{water}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?
A $U-$ tube containing a liquid moves with a horizontal acceleration a along a direction joining the two vertical limbs. The separation between these limbs is $d$ . The difference in their liquid levels is
A body of density $\rho$ is dropped from rest from a height $h$ into a lake of density $\sigma$, where $\sigma > \rho$. Neglecting all dissipative forces, the maximum depth to which the body sinks before returning to float on surface ..........
A hollow sphere of radius $R$ is filled completely with an ideal liquid of density $\rho$. sphere is moving horizontally with an acceleration $2g,$ where $g$ is acceleration due to gravity in the space. If minimum pressure of liquid is $P_0$, then pressure at the centre of sphere is