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Q#1 Size Reduction GATE CH 2023 NAT +2 marks -0 marks

A large tank is filled with water (density =\(1 g.cm^3\) upto a height of 5 m. A 100 μm diameter solid spherical particle (density = 0.8 \(g.cm^3\) ) is released at the bottom of the tank. The particle attains its terminal velocity (𝑣𝑡) after traveling to a certain height in the tank. Use acceleration due to gravity as 10 \(m s^{-2}\) and water viscosity as\(10^{-3} Pa.s\) . Neglect wall effects on the particle. If Stokes law is applicable, the absolute value of 𝑣𝑡 (in \(mm. s^{−1}\) is ____________(rounded off to two decimal places).

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