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