JEE Advanced · 2008 · 13 Apr 2008 · Paper 1 · Fluid Mechanics

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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.
and
STATEMENT-2
In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
  1. (A)STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1✓ Correct
  2. (B)STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
  3. (C)STATEMENT-1 is True, STATEMENT-2 is False
  4. (D)STATEMENT-1 is False, STATEMENT-2 is True

Answer: (A)

Solution

By the equation of continuity (), when water moves upward, it slows down due to gravity, so the cross-sectional area increases (spreads). When moving downward, it speeds up, so the area decreases (narrows). STATEMENT-2 (continuity equation) correctly explains STATEMENT-1.

JEE Advanced · 2008 · 13 Apr 2008 · Paper 1 · Single correct option

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