A cylindrical tank of height $1$ $m$ and cross section area $A$ $=$ $4000$ $cm^2$ is initially empty when it is kept under a tap of cross sectional area $1$ $cm^2$. Water starts flowing from the tap at $t$ $=$ $0$, with a speed $= $ $2$ $m/s$. There is a small hole in the base of the tank of cross-sectional area $0.5$ $cm^2$. The variation of height of water in tank (in meters) with time $t$ is best depicted by
- A
- B
- C
- D
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A 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 $1000\, kg/m^3$)View Solution
- 2$STATEMENT-1$ The stream of water flowing at high speed from a garcen hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. andView Solution
$STATEMENT-2$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
- 3Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is $P$ at a point where flow speed is $v$ , the pressure at another point where the flow speed is $2v$ , is (Take density of water as $\rho $ )View Solution
- 4A machine is blowing spherical soap bubbles of different radii filled with helium gas.It is found that, if the bubbles have a radius smaller than $1\,cm$, then they sink to the floor in still air. Larger bubbles float in the air. Assume that the thickness of the soap film in all bubbles is uniform and equal. Assume that the density of soap solution is same as that of water $\left(=1000 \,kg m ^{-3}\right)$. The density of helium inside the bubbles and air are $0.18 \,kg m ^{-3}$ and $1.23 \,kg m ^{-3}$, respectively. Then, the thickness of the soap film of the bubbles is .......... $\mu m$ (Note $1 \,\mu m =10^{-6} \,m$ )View Solution
- 5A piece of copper having an internal cavity weights $264\, g$ in air and $221\, g$ in water. Find volume (in $cc$) of cavity. Density of $Cu = 8.8\, g/cc$View Solution
- 6The ratio of masses of a cubical block of wood and a chunk of concrete is $\frac{3}{5}$ so that the combination just floats with entire volume submerged under water. If specific gravity of wood is $0.5$, then specific gravity of concrete will beView Solution
- 7A wooden block of volume $1000\, cm^3$ is suspended from a spring balance. It weighs $12$ $N$ in air. It is suspended in water such that half of the block is below the surface of water. The reading of the spring balance is ...... $N$View Solution
- 8$10,000 $ small balls, each weighing $1\, gm$, strike one square cm of area per second with a velocity $100 \,m/s$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will beView Solution
- 9The density of the atmosphere at sea level is $1.29 \;kg / m ^{3} .$ Assume that it does not change with altitude. Then how high (in $km$) would the atmosphere extend?View Solution
- 10We have three beakers $A, B$ and $ C $ containing glycerine, water and kerosene respectively. They are stirred vigorously and placed on a table. The liquid which comes to rest at the earliest isView Solution