What is the velocity \( v \) of a metallic ball of radius \( r \) falling in a tank of liquid at...

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What is the velocity \( v \) of a metallic ball of radius \( r \) falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body? (The densities of metal and of liquid are \( \rho \) and \( \sigma \) respectively, and the viscosity of the liquid is \( \eta \) ).
(a) \( \frac{r^{2} g}{9 \eta}(\rho-2 \sigma) \)
(b) \( \frac{r^{2} g}{9 \eta}(2 \rho-\sigma) \)
(c) \( \frac{r^{2} g}{9 \eta}(\rho-\sigma) \)
(d) \( \frac{2 r^{2} g}{9 \eta}(\rho-\sigma) \)
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