When a solid sphere moves through a liquid the liquid opposes is the motion with a force the magnitude of the force depends upon the coefficient of viscosity of the liquid the radius of the sphere find the expression of force using dimension formula:

1
\( Vt = \dfrac{2(d - \rho)gr^2 }{ 8\eta} \)
2
\( Vt = \dfrac{(d - \rho)gr^2 }{ 6\eta} \)
3
\( Vt = \dfrac{2(d - \rho)gr^2 }{ 9\eta} \)
4
\( Vt = \dfrac{(d - \rho)gr^2 }{ 9\eta} \)

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