Q72 / 90 · JEE Main 2021 (27 Jul Shift 1) · Physics

A light cylindrical vessel is kept on a horizontal surface. Area of the base is $A .$ A hole of cross-sectional 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

Solution

For no sliding

$f \geq ρ a v^{2}$
$μ m g \geq ρ a v^{2}$
$μ ρ A h g \geq ρ a 2 gh$
$μ \geq \frac{2 a}{A}$

Hence, the correct answer is option: 'C'.