A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of crosssectional area $'a'$ is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is $(a\,<\,<\,A)$
JEE MAIN 2021, Diffcult
Download our app for free and get started
For no sliding
$f \geq \rho av ^{2}$
$\mu mg \geq \rho av ^{2}$
$\mu \rho Ahg \geq \rho a 2 gh$
$\mu \geq \frac{2 a}{A}$
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
- 1Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]View Solution
- 2A cylinder of radius $4\ cm$ and height $10\ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$ . $2\ cm$ of cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.View Solution
- 3A air bubble rises from bottom of a lake to surface. If its radius increases by $200 \%$ and atmospheric pressure is equal to water coloumn of height $H$. then depth of lake is ..... $H$View Solution
- 4A tank is filled up to a height $2H$ with a liquid and is placedon a platform of height $H$ from the ground. The distance $x$ from the ground where a small hole is punched to get the maximum range $R$ is:View Solution
- 5View SolutionPressure head in Bernoulli's equation is
- 6Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter $2$ $cm$ in which water flows at a rate $3$ $ms^{^{-1}}$. The enclosure has $100$ holes each of diameter $0.05$ $cm$. The velocity of water coming out of the holes ids ( in $ms^{^{-1}}$)View Solution
- 7A container of height $10\, cm$ is filled with water. There is a hole at bottom. Find the pressure difference between points at top and bottom.View Solution
- 8A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\; kg$. The area of cross-section of the piston carrying the load is $425 \;cm ^{2} .$ What maximum pressure would the smaller piston have to bear?View Solution
- 9View SolutionWater 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
- 10An air bubble of diameter $6\,mm$ rises steadily through a solution of density $1750\,kg / m ^3$ at the rate of $0.35\,cm / s$. The co-efficient of viscosity of the solution (neglect density of air) is $..........\,Pas$ (given, $g =10\,ms ^{-2}$)View Solution