PhysicsAdvancedHigh School (11–12)Mechanics › Fluid Flow, Bernoulli's Principle and ViscosityJEE Advanced
Created by StemPy LabA garden hose of cross-section ends in a nozzle of cross-section . It carries of water per second, and the nozzle points straight up, so that the jet rises vertically. Treat the water as an ideal fluid and ignore air resistance. Take and the density of water as . Which of the following statements are correct?
One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.
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← A clean glass capillary tube of inner radius 0.40 mm, open at both ends and with a very thin wall, is held vertical. Water is run into it from the top, and the extra water is allowed to drip out of the lower end until the dripping stops. The surface tension of water is 0.072 N/m, its contact angle with clean glass is zero, its density is 1000 kg/m³, and g = 10 m/s². At its lower end the water can bulge out of the tube, at most into a half sphere of the tube's inner radius. What is the longest column of water that the tube can hold in this way?An open cylindrical can of radius 10 cm and height 30 cm holds water to a depth of 20 cm. It is spun about its vertical axis, faster and faster, very slowly, so that the water always turns with the can, as shown in the figure. Water spills over the rim once the spin is fast enough. Take g = 10 m/s². What fraction of the water has spilled by the time the centre of the bottom of the can just becomes dry? →
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