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Find the conversion factor between the SI and CGS units of coefficient of viscosity using dimensional analysis.

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The dimensions of the coefficient of viscosity η are

[η] = [ML-1 T-1]

The SI and CGS units of coefficient of viscosity are the pascal-second and poise, respectively.

1 Pa ∙ s = 1 N ∙ m-2 ∙ s = 1 kg-m-1 ∙ s-1

1 P = 1 dyn ∙ cm-2 ∙ s = l g-cm-1 ∙ s-1

Let 1 Pa ∙ s = xP

∴ 1[M1 L1 -1T1 -1] = x[M2L2 -1T2 -1]

where subscripts 1 and 2 pertain to SI and CGS units.

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