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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The velocity of water in a river is $18\, km/h$ near the surface. If the river is $5\, m$ deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water $= 10^{-2}\,,poise$
A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by $l_a$ and when the weight is immersed completely in water, the extension is reduced to $l_w$. Then the relative density of material of the weight is
Sixty four spherical rain drops of equal size are falling vertically through air with terminal velocity $1.5\, m/s$. All of the drops coalesce to form a big spherical drop, then terminal velocity of big drop is ........... $m/s$
A hydraulic automobile lift is designed to lift vehicles of mass $5000\,kg$. The area of cross section of the cylinder carrying the load is $250\,cm ^2$. The maximum pressure the smaller piston would have to bear is [Assume $g=10\,m / s ^2$]
In the figure shown, the heavy cylinder (radius $R$) resting on a smooth surface separates two liquids of densities $2\ \rho$ and $3\ \rho$ . The height $‘h’$ for the equilibrium of cylinder must be
A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric field of strength $\frac{81 \pi}{7} \times 10^5 \mathrm{Vm}^{-1}$. When the field is switched off, the drop is observed to fall with terminal velocity $2 \times 10^{-3} \mathrm{~ms}^{-1}$. Given $\mathrm{g}=9.8 \mathrm{~ms}^{-2}$, viscosity of the air $=1.8 \times 10^{-5} \mathrm{Ns} \mathrm{m}^{-2}$ and the density of oil $=$ $900 \mathrm{~kg} \mathrm{~m}^{-3}$, the magnitude of $\mathrm{q}$ is
A cube of wood supporting $200\,gm$ mass just floats in water. When the mass is removed, the cube rises by $2\, cm$. ............ $cm$ is the side of cube .
Two cubes of size $1.0$ $m$ sides, one of relative density $0.60$ and another of relative density $=$ $1.15$ are connected by weightless wire and placed in a large tank of water. Under equilibrium the lighter cube will project above the water surface to a height of ........ $cm$
A tube is bent into $L$ shape and kept in a vertical plane. If these three liquids are kept in equilibrium by the piston of area $A$ , the value of $\frac {F}{A}$ is