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  3. Physics
  4. 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. and STATEMENT-2 In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

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Q. 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. and
STATEMENT-2
In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

JEE AdvancedJEE Advanced 2008

Solution:

According to equation of continuity, $A_{1} v_{1}=A_{2} v_{2}$, when the hose pipe is held vertically up, the speed of the water, $v$, decreases since the liquid moves up. Hence, the area of cross-section of the liquid, which comes out, increases resulting in the formation of a fountain.
The reverse happens when the hose pipe is held vertically down.
The speed increases and the area of cross-section decreases.