A small metal sphere of radius $r$ and density $ρ$ falls from rest from a viscous fluid of density $σ$ and of the coefficient of viscosity $η$ . Due to friction, heat is produced. The expression for the rate of production of heat when the sphere has acquired the terminal velocity :

[\frac{8 ρ g}{27 η} (ρ - σ)_{2}] r_{5}

[\frac{8 ρ g _{2}}{27 η} (ρ - σ)_{2}] r_{5}

[\frac{8 ρ g _{2}}{27 η} (ρ - σ)] r_{5}

None of these

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A small metal sphere of radius

r

and density

ρ

falls from rest from a viscous fluid of density

σ

and of the coefficient of viscosity

η

. Due to friction, heat is produced. The expression for the rate of production of heat when the sphere has acquired the terminal velocity :

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