Different physical quantities are given in Column - $\mathrm{I}$ and their dimensional formula are given in Column - $\mathrm{II}$. Match them appropriately.
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Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\ m $ The water velocity as it leaves the tap is $0.4$ $ms^{-1}$ છે. The diameter of the water stream at a distance $2 \times 10^{-1}$ $m$ below the tap is close to .......$\times 10^{-3}\;m$
A wooden cube first floats inside water when a $200\,g$ mass is placed on it. When the mass is removed the cube is $2\,cm$ above water level. The side of cube is ........ $cm$
Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column, i.e., the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this
A Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of $800$ $N$ is applied to the shaft, parallel to the sleeve, the shaft attains a speed of $1.5$ $cm/sec$. If a force of $2.4$ $kN$ is applied instead, the shaft would move with a speed of ......... $ cm/sec$
A hydraulic press can lift $100\, kg$ when a mass $'m'$ is placed on the smaller piston. It can lift ......... $kg$ when the diameter of the larger piston is increased by $4$ times and that of the smaller piston is decreased by $4$ times keeping the same mass $'m'$ on the smaller piston.
A liquid is kept in a closed vessel. If a glass plate (negligible mass) with a small hole is kept on top of the liquid surface, then the vapour pressure of the liquid is the vessel is
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 boy has $60\, kg$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is $0.6$, what is the minimum volume of wooden log? (density of river water is $1000\, kg/m^3$)