The relative velocity of two consecutive layers is 8 cm/s. If the perpendicular distance between the layers is $0.1\, cm$, then the velocity gradient will be ......... $sec^{-1}$
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A cylindrical block of wood of base area $30\ cm^2$ , floats in a liquid of density $900\ kg/m^3$ . The block is depressed lightly and then released. The time period of the resulting oscillations of the block is equal to that of spring with block of same mass, then spring constant is equal to ........ $N/m$
Two water pipes of diameters $ 2 cm $ and $4 cm $ are connected with the main supply line. The velocity of flow of water in the pipe of $ 2 cm$ diameter is
A air bubble of radius $1\,cm$ in water has an upward acceleration $9.8\, cm\, s ^{-2}$. The density of water is $1\, gm\, cm ^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is$.......gm$
A metal block of base area $0.2\; m ^{2}$ is connected to a $0.02\; kg$ mass via a string that passes over an ideal pulley as shown in figure. A liquid film of thickness $0.6\; mm$ is placed between the block and the table. When released the block moves to the right with a constant speed of $0.17\; m / s$. The co-efficient of viscosity of the liquid is
A ball of relative density $0.8$ falls into water from a height of $2$ $m$. The depth to which the ball will sink is ........ $ m$ (neglect viscous forces) :
The area of cross-section of the wider tube shown in figure is $800$ $cm^2$. If a mass of $12$ $ kg $ is placed on the massless piston, the difference in heights $h$ in the level of water in the two tubes is ........ $cm$
A hosepipe directs a horizontal jet of water moving with velocity of $20\, m/s$ on a vertical wall. The cross-sectional area of jet is $10^{-3}\,m^2$. If density of water is $1000\, kg/m^3$, then force acting on wall is ........... $N$ [Assuming water comes to rest after striking wall]
A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is
A vessel containing water is moving with a constant speed towards right along a straight horizontal path. if the vessel is given a constant retardation towards the right along a straight line, which of the above diagram represents the surface of the liquid?