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

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Question

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

Options

  • [ML-1T-1]

  • [MLT-1]

  • [ML-1T-2]

  • [ML-2T-2]

MCQ
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Solution

[ML-1T-1]

Explanation:

According to Stokes law,

F = 6πηrv ⇒ η = `"F"/(6pi"rv")`

η = `(["MLT"^-2])/(["L"]["LT"^-1])`

⇒ η = [ML-1T-1]

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