Statement 1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a…

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. Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
  2. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
  3. Statement 1 is true, Statement 2 is false.
  4. 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). `

Asked in: JEE Advanced 2008 (Paper 1)

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