ISRO Mechanical & Aerospace 2006 - Question 23

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Topic: Fluid Mechanics

100 m of water column is equal to

  • A. $1000 \text{ kN/m}^{2}$
  • B. $100 \text{ kN/m}^{2}$
  • C. $10 \text{ kN/m}^{2}$
  • D. $1 \text{ kN/m}^{2}$

Answer: A. $1000 \text{ kN/m}^{2}$

Explanation: Pressure (P) due to a water column of height h is given by $P = \rho g h$. Given $h = 100 \text{ m}$, density of water $\rho = 1000 \text{ kg/m}^{3}$, and taking $g \approx 10 \text{ m/s}^{2}$ (as per typical approximate calculations in these exams): $P = 1000 \times 10 \times 100 = 1000000 \text{ N/m}^{2} = 1000 \text{ kN/m}^{2}$.

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