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Q.

Statement – I: 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 – II: In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

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a

Statement – I is True, Statement – II is False

b

Statement – I is True, Statement – II is True, Statement – II is a correct explanation for Statement – I

c

Statement – I is False, Statement – II is True

d

Statement – I is True, Statement – II  is True; Statement – II is NOT a correct explanation for Statement – I

answer is A.

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Detailed Solution

The volume flow rate (Q) of an incompressible fluid in steady flow remains constant From equation of continuity,   av= constant 

         Q=a×v=constant or, a1v

Where  a= area of cross-section and  v= velocity 

          If v decreases a increases and vice – versa

When stream of water moves up, its speed v  decreases and therefore 'a' increases i.e. the water spreads out as a fountain. When stream of water from hose pipe moves down, its speed increases and therefore area of cross-section decreases.

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