Q59 / 69 · JEE Advanced 2008 (Paper 1) · Physics

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.

  • Correct answer
    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, Statement 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

Solution

From continuity equation, $$ A v=\text { constant or } A \propto \frac{1}{v} $$ At lower heights, speed will be more. Therefore, area of cross-section will be less. $\therefore$ correct option is (a).

Hence, the correct answer is option: 'A'.

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