The total area of cross-section is $0.25\,m^2$. If the blood is flowing at the rate of $100\, cm^3/sec$, then the average velocity of flow of blood through the capillaries is ........ $mm/sec$
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A copper ball of radius $'r'$ travels with a uniform speed $'v'$ in a viscous fluid. If the ball is changed with another ball of radius $'2r'$ , then new uniform speed will be
A liquid enter at point $A_{1}$ with speed $3.5 m / s$ and leaves at point $A _{2} .$ Then find out the height attained by the liquid above point $A _{2}$ (in $cm$)
The ratio of masses of a cubical block of wood and a chunk of concrete is $\frac{3}{5}$ so that the combination just floats with entire volume submerged under water. If specific gravity of wood is $0.5$, then specific gravity of concrete will be
Water flows in a stream line manner through a capillary tube of radius $a$. The pressure difference being $P$ and the rate of flow is $Q$. If the radius is reduced to $\frac{a}{4}$ and the pressure is increased to $4 P$. then the rate of flow becomes ................
A load of mass $M\,kg$ is suspended from a steel wire of length $2\,m$ and radius $1.0\,mm$ in Searle’s apparatus experiment. The increase in length produced in the wire is $4.0\,mm.$ Now the load is fully immersed in a liquid of relative density $2$. The relative density of the material of load is $8$. The new value of increase in length of the steel wire is ........ $mm$
A hole is made at the bottom of the tank filled with water (density $1000\, kg/m^3$). If the total pressure at the bottom of the tank is $3$ atmosphere ($1$ atmosphere $= 10^5\, N/m^2$), then the velocity of efflux is
A very large block of ice of the size of a volleyball court and of uniform thickness of $8 \,m$ is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about ............... $m$
A ball of mass $m$ and radius $ r $ is gently released in a viscous liquid. The mass of the liquid displaced by it is $m' $ such that $m > m'$. The terminal velocity is proportional to
A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of $v_0$ (see figure). When the box is half empty, someone tilts it at $45^o $ so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of