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JEE Main 201322 AprilOnline
Exam
JEE Main
Year
2013
Date
22 April
Mode
Online
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2013 · 22 April · Online · Physics · Mechanical Properties of Fluids

Air of density 1.2 ~kg ~m^ -3 is blowing across the horizontal...

Air of density 1.2 kg m−31.2 \mathrm{~kg} \mathrm{~m}^{-3} is blowing across the horizontal wings of an aeroplane in such a way that its speeds above and below the wings are 150 ms−1150 \mathrm{~ms}^{-1} and 100 ms−1100 \mathrm{~ms}^{-1}, respectively. The pressure difference between the upper and lower sides of the wings, is :

Options

  1. A60Nm−260 \mathrm{Nm}^{-2}
  2. B180Nm−2180 \mathrm{Nm}^{-2}
  3. C7500Nm−27500 \mathrm{Nm}^{-2}
  4. D12500Nm−212500 \mathrm{Nm}^{-2}

Correct answer

C. 7500Nm−27500 \mathrm{Nm}^{-2}

Step-by-step solution

Pressure difference\begin{aligned}& \mathrm{P}}_{2}- \mathrm{P}}_{1}=\frac{1}{2} \rho\left(\mathrm{v}}_{2}^2- \mathrm{v}}_{1}^2\right) \\ & =\frac{1}{2} \times1.2\left((150)^2-(100)^2\right) \\ & =\frac{1}{2} \times1.2(22500-10000) \\ & =7500 \mathrm{Nm}^{-2} \end{aligned}
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