A spherical ball of mass 4m, density σ and radius r is attached to a pulley-mass system as shown in figure. The ball is released in a liquid of coefficient of viscosity η and density ρ (σ > 2ρ). If the length of the liquid column is sufficiently long, the terminal velocity attained by the ball is given by (assume all pulleys and string to be massless) :

Engineering

Physics

Viscosity

Question

$\frac{2}{9} \frac{r^{2} (σ - 4 ρ) g}{η}$

$\frac{2}{9} \frac{r^{2} (σ - ρ) g}{η}$

$\frac{2}{9} \frac{r^{2} (2 σ - ρ) g}{η}$

$\frac{2}{9} \frac{r^{2} (σ - 2 ρ) g}{η}$

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