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JEE Main 2004 (AIEEE) · Units & Dimensions

Units & Dimensions question from JEE Main 2004 (AIEEE)

Q100JEE Main 2004 · AIEEEEasy

Units & Dimensions

Which one of the following represents the correct dimensions of the coefficient of viscosity?

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Answer: (a)

Viscous force $F = \eta A\frac{dv}{dx}$ , so $\eta = \frac{F}{A\,(dv/dx)}$ .
$[\eta] = \frac{\mathrm{MLT^{-2}}}{\mathrm{L^2}\cdot\mathrm{T^{-1}}} = \mathrm{ML^{-1}T^{-1}}$
So the answer is (a).

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