Home Physics Units, Dimensions and Measurement Dimensions According to Newton, the viscous force actin…
Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ
Published on: September 12, 2026

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient 3v/32 is given by \(F = -\mu A \frac{\nu}{v}\) where "" is constant called coefficient of viscosity. The dimension of \"\" are

A
\(\left[\mathrm{ML}^{2} \mathrm{T}^{-2}\right]\)
B
\(\left[\mathrm{ML}^{-1} \mathrm{T}^{-1}\right]\)
C
\(\left[ML^{-2}T^{-2}\right]\)
D
\(\left[ M^{\ast} \ell^{\prime\prime} T^{\ast} \right]\)

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Text Solution

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The correct answer is:
B

\(F = - \mu A \frac{\nu}{l} \Rightarrow [F] = [ML^{-1}T^{-2}]\)

As \(F - [MLT^{-2}], \quad A - [L^{2}] \cdot \frac{W}{V} - [T^{-1}]\)

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