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Statement-1 : The stream of water flowin...

Statement-1 : The stream of water flowing at high speed from a garden hose pipe tends to spread like a foundtion when held vertically up, but tends to narrow down when held vertically down.
Statement-2 : In any steady flow of an incompressible fluid, the volume flow rate of the fluid remain constant.

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2 is true, Statemnet-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false Statement-2 is true

Text Solution

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The correct Answer is:
A
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STATEMENT-1: The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. STATEMENT-2: In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically up, but tends to narrow down when held vertically down. Explain how?

Statement-1: The stream of water emerging from a wate tap "necks down" as it falls. Statement-2: The volume flow rate at different levels is same.

Statement-1 : When an orifice is made in the middle of the wall of a vessel, the range of the liquid coming out of the orifice is equal to the height of the liquid. Statement-2 : Liquid is flowing through two identical pipes A and B. Volume of liquid flowing per second through A and B are v_(0) and 2v_(0) respectively. Flow in A is turbulent and steady in B. Statement-3 : Rate of flow of a viscous liquid through a pipe is directly proportional to he fourth power of the radius of pipe.

A vertical steel rod has radius a. The rod has a coat of a liquid film on it. The liquid slides under gravity. It was found that the speed of liquid layer at radius r is given by v=(rhogb^(2))/(2eta)ln((r)/(a))-(rhog)/(4eta)(r^(2)-a^(2)) Where b is the outer radius of liquid film, eta is coefficient of viscosity and rho is density of the liquid. (i) Calculate the force on unit length of the rod due to the viscous liquid? (ii) Set up the integral to calculate the volume flow rate of the liquid down the rod. [you may not evaluate the integral]

A laminar stream is flowing vertically down from a tap of cross-section area 1cm^(2) . At a distance 10 below the tap, the cross-section area of the stream has reduced to 1//2cm^(2) . Find the volumetric flow rate of water from the tap.

(i) Air (density= rho ) flows through a horizontal venturi tube that discharges to the atmosphere. The area of cross section of the tube is A_(1) and at the constriction it is A_(2) . The constriction is connected to a water (density =rho_(0) ) tank through a vertical pipe of lenght H. Find the volume flow rate (Q) of the air through tube that is needed to just draw the water into the tube. (ii) A non viscous liquid of constant density rho flows in a stremline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in the figure. The area of cross section of the tube at two points P and Q at heights of h_(1) and h_(2) are respectively A_(1) and A_(2) . The velocity of the liquid at point P is v. Find the work done on a small volume DeltaV of fluid by the neighbouring fluid as the small volume moves from P to Q.

BANSAL-FLUID MECHANICS-EXERCISE # III
  1. A large open tank has two holes in the wall. One is a square hole of s...

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  2. A 3.6m long vertical pipe resonates with a source of frequency 212.5 H...

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  3. A hemispherical portion of radius R is removed from the bottom of a cy...

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  4. A wooden block, with a coin placed on its top, floats in water as show...

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  5. A uniform solid cylinder of density 0.8g//cm^3 floats in equilibrium i...

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  6. Consider a horizontally oriented syringe containing water located of a...

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  7. A solid sphere of radius R is floating in a liquid of density sigma wi...

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  8. Water is filled in a container upto height 3m. A small hole of area 'a...

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  9. A U tube is rotated about one of it's limbs with an angular velocity o...

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  10. A wooden cylinder of diameter 4 r, height H and density rho//3 is kept...

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  11. A cylindrical tank has a hole of diameter 2r in its bottom. The hole i...

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  12. A wooden cylinder of diameter 4 r, height H and density rho//3 is kept...

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  13. A cylindrical tank has a hole of diameter 2r in its bottom. The hole i...

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  14. Statement-1 : The stream of water flowing at high speed from a garden ...

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  15. A glass tube of uniform internal radius (r) has a valve separating the...

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  16. A cylindrical vessel of height 500mm has an orifice (small hole) at it...

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  17. Two soap bubbles A and B are kept in a closed chamber where the air is...

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  18. A thin uniform cylindrical shell, closed at both ends, is partially fi...

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