An open tank 10m long and 2m deep is filled up to 1.5m height of oil of specific gravity 0.82. The tank is uniformly accelerated along its length from rest to a speed of 20 m/sec horizontally. The shortest time (in sec) in which the speed may be attained without spilling any oil is: g=10 m/sec2
The correct answer is: 20
An open water tanker moving on a horizontal straight road has a cubical block of cork floating over its surface. If the tanker has an acceleration of a as shown, the acceleration (in m/s2) of the cork w.r.t. container is (ignore viscosity)
The correct answer is: 0
A fire hydrant delivers water of density ρ at a volume rate L. The water travels vertically upward through the hydrant and then does 90° turn to emerge horizontally at speed V. The pipe and nozzle have uniform cross section throughout. The force exerted by the water on the corner of the hydrant is . Find the value of α
Force exerted in vertical direction and horizontal direction are
The correct answer is: 2
Water is moving with a speed of 5.18 m/s–1 through a pipe with a cross-sectional area of 4.20 cm–2. The water gradually descends 9.66m as the pipe increase in area to 7.60cm2. The speed (in ms–1) of flow at the lower level is :
The correct answer is: 2.86
An incompressible liquid flows through a horizontal tube as shown in the figure. Then the velocity v (in m/s) of the fluid is :
Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section. Find the maximum radius (in mu m) of xylem tube in a 10m high coconut tree so that water can rise to the top.
(Surface tension of water = 0.1N/m Angle of contact of water with xylem tube = 60°)
The correct answer is: 1
A tank is filled with a liquid upto a height H. A small hole is made at the bottom of this tank. Let t1 be the time taken to empty first half of the tank t2 the time taken to empty rest half of the tank. Then find
Substituting the proper limits in Equation (1), derived in the theory, we have
The correct answer is: 0.414
A large open tank has two small holes in its vertical wall as shown in figure. One is a square hole of side l at a depth 4y from the top and the other is a circular hole of radius R at a depth y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then R is equal to αL. Find the value of α.
The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2ρ and ρ as shown in figure is Find the value of α.
Pressure at (1) :
Applying Bernoulli’s theorem between points (1) and (2)
The correct answer is: 2
A horizontal pipe line carries in a streamline flow. At a point along the pipe where the cross-sectional area is 10 cm2, the water velocity is 1ms–1 and the pressure is 2000 Pa. What will be the pressure (in Pa) of water at another point where the cross-sectional area is 5cm2?
From continuity equation
Applying Bernoulli’s theorem at 1 and 2
The correct answer is: 500