Fluid Mechanics

JEE Main level, single correct, medium

12 of 192

Question 12 of 192

A light cylindrical vessel is kept on a horizontal surface. Area of the base is A.A. A hole of cross-sectional area aa is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is

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Answer: (C) 2aA\dfrac{2a}{A}

For no sliding
f≥ρav2f\geq \rho a{v}^{2}
μmg≥ρav2\mu mg\geq \rho a{v}^{2}
μρAhg≥ρa2gh\mu \rho Ahg\geq \rho a2gh
μ≥2aA\mu \geq \dfrac{2a}{A}

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