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GATE 2021 CE (CE1) – Question 20

Fluid Mechanics · Properties of fluids, fluid statics · 1 mark · Multiple choice

Kinematic viscosity is dimensionally represented as

  1. $M/(LT)$
  2. $M/(L^2T)$
  3. $T^2/L$
  4. $L^2/T$

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Correct answer: (D) $L^2/T$

Explanation

Kinematic viscosity is $\nu=\mu/\rho$. Dynamic viscosity has dimensions $ML^{-1}T^{-1}$ and density has $ML^{-3}$. Dividing cancels mass and gives $L^2T^{-1}$, **D**.