EASY
JEE Main
IMPORTANT
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A pitot tube on a high-altitude aircraft measures a differential pressure of 150 Pa. What is the aircraft's airspeed if the density of the air is 0.031 kg/m3 ?

Important Questions on Fluids

EASY
JEE Main
IMPORTANT

Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model airplanes. Consider a circular pipe of internal diameter 25.0 cm and a torpedo model aligned along the long axis of the pipe; The model has a 6.00 cm diameter and is to be tested with water flowing past it at 2.00 m s-1. (a) with what speed must the water flow in the part of the pipe that is unconstricted by the model? (b) What will the pressure difference be between the constricted and unconstricted parts of the pipe?

EASY
JEE Main
IMPORTANT
In one observation, the column in a mercury barometer (as is shown in the figure) has a measured height h of 740.35 mm. The temperature is -5.0 °C, at which temperature the density of mercury ρ is 1.3608×104 kg m-3. The free-fall acceleration g at the site of the barometer is 9.7828 m s-2. What is the atmospheric pressure at that site in pascals and in torr (which is the common unit for barometer readings) ?
EASY
JEE Main
IMPORTANT
What fraction of the volume of an iceberg (density 917 kg m-3) would be visible if the iceberg floats (a) in the ocean (salt water, density 1024 kg m-3) and (b) in a river (fresh water, density 1000 kg m-3)? (When salt water freezes to form ice, the salt is excluded. So, an iceberg could provide fresh water to a community.)
MEDIUM
JEE Main
IMPORTANT
Water is pumped steadily out of a flooded basement at 4.5 m s-1 through a hose of radius 1.0 cm, passing through a window 3.5 m above the waterline. What is the pump's power?
EASY
JEE Main
IMPORTANT
At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques reached the Challenger Deep uniform density of 1024 kg m-3, approximate the hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would have been disastrous.)
MEDIUM
JEE Main
IMPORTANT
A water pipe having a 2.5 cm inside diameter carrier water into the basement of a house at a speed of 0.90 m s-1 and a pressure of 190 kPa. If the pipe tapers to 1.2 cm and rises to the second floor 7.6 m above the input point, what are the (a) speed and (b) water pressure at the second floor ?
MEDIUM
JEE Main
IMPORTANT
A hollow sphere of inner radius 8.0 cm and outer radius 9.0 cm floats half-submerged in a liquid of density 820 kg m-3. (a) What is the mass of the sphere? (b) Calculate the density of the material of which the sphere is made.
EASY
JEE Main
IMPORTANT

In the figure, water flows through a horizontal pipe and then out into the atmosphere at a speed v1=23.0 m s-1. The diameter of the left and right sections of the pipe are 5.00 cm and 3.00 cm. (a) What volume of water flows into the atmosphere during a 20.0 min period? In the left section of the pipe, what are (b) the speed v2 and (c) the gauge pressure ?

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