A flat plate of area $0.1 \,m ^2$ is placed on a flat surface and is separated from it by a film of oil $10^{-5} \,m$ thick whose coefficient of viscosity is $1.5 N \,sm s ^{-2}$. The force required to cause the plate to slide on the surface at constant speed of $1 \,mm s ^{-1}$ is ............ $N$
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The Bhagirathi and the Alaknanda merge at Deoprayag to form the Ganga with their speeds in the ratio $1: 1: 5$. The cross-sectional areas of the Bhagirathi, the Alaknanda and the Ganga are in the ratio $1: 2: 3$. Assuming streamline flow, the ratio of the speed of Ganga to that of the Alaknanda is
Two liquids of densities $\rho_{1}$ and $\rho_{2}\left(\rho_{2}=2 \rho_{1}\right)$ are filled up behind a square wall of side $10\; \mathrm{m}$ as shown in figure. Each liquid has a height of $5 \;\mathrm{m} .$ The ratio of the forces due to these liquids exerted on upper part $MN$ to that at the lower pait $NO$ is (Assume that the liquids are not mixing)
A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
A cylindrical vessel of cross-section $A$ contains water to a height $h$ . There is a hole in the bottom of radius $'a'$ . The time in which it will be emptied is
Ajet of water having velocity $=$ $10 $ $m/s$ and stream cross-section $=$ $2$ $cm^2$ hits a flat plate perpendicularly, with the water splashing out parallel to plate. The plate experiences a force of ....... $N$
The vessel shown in the figure has two sections. The lower part is a rectangular vessel with area of cross-section $A$ and height $h$. The upper part is a conical vessel of height $h$ with base area $‘A’$ and top area $‘a’$ and the walls of the vessel are inclined at an angle $30^o$ with the vertical.A liquid of density $\rho$ fills both the sections upto a height $2h$. Neglecting atmospheric pressure.