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GATE 2023 BM – Question 24

Biomechanics · Soft Tissue Mechanics · 1 mark · Multiple choice

Which dimensions represent dynamic viscosity, using M for mass, L for length and T for time?

  1. $ML^{-2}T^{-1}$
  2. $ML^{-1}T^{-1}$
  3. $ML^{-1}T$
  4. $ML^{-2}T^{-2}$

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Show answer and explanation

Correct answer: (B) $ML^{-1}T^{-1}$

Explanation

Dynamic viscosity equals shear stress divided by velocity gradient. Stress has dimensions ML⁻¹T⁻² and velocity gradient has dimensions T⁻¹. Their ratio is ML⁻¹T⁻¹, B. This differs from kinematic viscosity, which divides dynamic viscosity by density.

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