Question

Find the conversion factor between the SI and
CGS units of coefficient of viscosity using dimen-
sional analysis.
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Answer 1

Answer:

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Explanation:

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Answer 2

To Find

✓ Dimension of coefficient of viscosity (η)

✓ Conversion of η into SI and CGS unit

Solution

✓ Formula : η = Fx/Aν

{ where, F = Force ; x = displacement ;

A = Area; ν = velocity }

Dimension of η = MLT⁻².L/ L².LT⁻¹

= ML²T⁻²/ L³T⁻¹

= [ML⁻¹T⁻¹]

SI unit of η : Kg/ms OR kgm⁻¹s⁻¹

Converting η into CGS (cm, gram, second) unit :

kgm⁻¹s⁻¹ = (1kg) (1m)⁻¹ (1s)⁻¹

= (10³ g) (10² cm)⁻¹ (1s)⁻¹

= 10⁵ gcm⁻¹s⁻¹ OR 10 poise