Moderate

The dimensions of the coefficient of viscosity are_____________?

Correct answer: A. ML-1T-1

  • A. ML-1T-1
  • B. M2L1T1
  • C. ML1T-1
  • D. M2L-1T-1

Explanation

The coefficient of viscosity is obtained from viscous force divided by velocity gradient and area: η = F/(A × velocity gradient), giving dimensions M L^-1 T^-1. These are also the dimensions of Pa s, the SI unit of viscosity. Students may choose ML1T-1 by forgetting that viscosity decreases as the separation or length scale increases.

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