JEE Advance - Physics (2008 - Paper 1 Offline - No. 14)
STATEMENT - 1 :
The stream of water flowing at high speed from a garden hose pipe tends to spread line 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.
Explanation
Volume flow rate (V) of an incompressible fluid in the steady flow remains constant.
$$V=a\times v$$
Where $$a$$ = area of cross-section and $$v$$ = velocity
If '$$v$$' decreases, '$$a$$' increases and vice-versa.
When steam of water moves up, its speed (v) decreases and therefore 'a' increases, i.e., the water spreads out like a fountain. When steam of water from hose pipe moves down, its speed increases and as a result, area of cross-section decreases.
Therefore, statement - 1 is true.
Statement - 2 is the correct explanation of statement - 1.
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