A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of crosssectional area $'a'$ 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 $(a\,<\,<\,A)$
A$\frac{2 {a}}{{A}}$
B
None of these
C$\frac{{a}}{{A}}$
D$\frac{{A}}{2 {a}}$
JEE MAIN 2021, Diffcult
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A$\frac{2 {a}}{{A}}$
a For no sliding
$f \geq \rho av ^{2}$
$\mu mg \geq \rho av ^{2}$
$\mu \rho Ahg \geq \rho a 2 gh$
$\mu \geq \frac{2 a}{A}$
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