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MHT CET 2025 (23 Apr, Shift 1) · Applications of Bernoulli's Theorem

Applications of Bernoulli's Theorem question from MHT CET 2025 (23 Apr, Shift 1)

Q1MHT CET 2025 · 23 APR · SHIFT 1Medium

Applications of Bernoulli's Theorem

A wind with speed 50 m/s50\text{ m/s} blows parallel to the roof of a house. The area of the roof is 300 m2300\text{ m}^2. Assume that the pressure inside the house is atmospheric pressure. Density of air is 1.2 kg/m31.2\text{ kg/m}^3. The magnitude of the force exerted by the wind on the roof will be

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Answer: (c)

  1. Air inside is at rest, air above moves at vv: ΔP=12ρv2\Delta P = \frac{1}{2}\rho v^2
  2. ΔP=12(1.2)(50)2=1500 Pa\Delta P = \frac{1}{2}(1.2)(50)^2 = 1500\text{ Pa}
  3. F=ΔP⋅A=1500×300=4.5×105 NF = \Delta P \cdot A = 1500 \times 300 = 4.5\times10^{5}\text{ N}
  4. So the answer is (c) 4.5×1054.5\times10^{5} N.
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