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The stream of water flowing at high spee...

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?

Text Solution

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As the stream falls, its speed `upsilon` will increase and hence its area of cross-section a will decrease, ac cording to equation of continuity, i.e., `aupsilon = a consta nt`. That is why the stream will become narrow.
When the stream will go up, its speed will decrease, hence its area of crosssection will increase, ie. it will become broader and spreads out like a fountain.
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Knowledge Check

  • 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
  • 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.

    A
    (a) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    (b) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
    C
    (c) Statement-1 is True, Statement-2 is False
    D
    (d) Statement-1 is False, Statement-2 is True
  • A substance breaks down by a stress of 10^(6)N//m^(2). If the density of the material of the wire is 3xx10^(3) kg//m^(3), then the length of the wire of that substance which will break under its own weight, when suspended vertically, is its own weight, when suspended vertically, is

    A
    3.4 m
    B
    34 m
    C
    340 m
    D
    3400 m
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