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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 ............... $m$
Water coming out of a horizontal tube at a speed ? strikes normally a vertically wall close to the mouth of the tube and falls down vertically after impact. When the speed of water is increased to $2v$ .
A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $P$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is
A large tank is filled with water to a height $H$. A small hole is made at the base of the tank. It takes ${T_1}$ time to decrease the height of water to $\frac{H}{\eta }\,(\eta > 1)$; and it takes ${T_2}$ time to take out the rest of water. If ${T_1} = {T_2}$, then the value of $\eta $ is
Water is flowing through a tube of non-uniform cross-section ratio of the radius at entry and exit end of the pipe is $ 3 : 2.$ Then the ratio of velocities at entry and exit of 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) :
An empty balloon weighs $1\, g$. The balloon is filled with water to the neck and tied with a massless thread. The weight of balloon alongwith water is $101\, g$. The balloon filled with water is weighed when fully immersed. Then, its weight in water is ...... $g$
A closed vessel have a small hole in one face of vessel near the bottom as shown. The velocity of water coming out from the given hole at given instant is ....... $m/s$
There is a hole in the bottom of tank having water. If total pressure at bottom is $ 3 atm$ ($1 atm = 10^5N/m^2$) then the velocity of water flowing from hole is