A cubical block of side $‘a’$ and density $‘\rho ’$ slides over a fixed inclined plane with constant velocity $‘v’$. There is a thin film of viscous fluid of thickness $‘t’$ between the plane and the block. Then the coefficient of viscosity of the thin film will be:
A$\frac{{3\rho \,a\,g\,t\,}}{{5v}}$
B$\frac{{4\rho \,a\,g\,t}}{{5v}}$
C$\frac{{\rho \,a\,g\,t}}{v}$
D
none of these
Diffcult
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A$\frac{{3\rho \,a\,g\,t\,}}{{5v}}$
a Viscon force $=m g \sin \theta$
$\therefore \eta\left(a^{2}\right) \frac{v}{t}=m g \sin 37^{\circ}=\frac{3}{5} m g$
$\frac{3}{5}\left(a^{3} \rho\right) g \Rightarrow \therefore \eta=\frac{3 \rho a g t}{5 v}$
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