A metallic sphere having density ρ_s falls in glycerin of density ρ_g, which is kept in a cylindrical container of radius R and a very large height h. Assume that the acceleration due to gravity is g, that the radius of the sphere is a and that the viscosity of glycerin is very large $\left(\eta \right).$

(P) The terminal speed of the sphere is

${\mathrm{v}}_{\mathrm{T}}=\frac{2}{9}\left({\mathrm{\rho }}_s-{\mathrm{\rho }}_{\mathrm{g}}\right)\frac{{\mathrm{a}}^2\mathrm{g}}{\mathrm{\eta }}.$

(Q) The terminal speed of the sphere

${\mathrm{v}}_{\mathrm{T}}<\frac{2}{9}\left({\mathrm{\rho }}_{\mathrm{s}}-{\mathrm{\rho }}_{\mathrm{g}}\right)\frac{{\mathrm{a}}^2\mathrm{g}}{\mathrm{\eta }}.$

(R) The viscous force acting on the sphere is $6\pi \text{ ηаv. }$

(S) The viscous force acting on the sphere is greater than $6\pi \eta \mathrm{av}.$ Consider the statements ABOVE and select the correct option BELOW