Q. The dimension of coefficient of viscosity is:

श्यानता के गुणांक का आयाम है:

A
M¹L⁻¹T⁻¹
B
M⁻¹L¹T⁻¹
C
M⁻¹L¹T¹
D
M⁻¹L⁻¹T¹

Explanation

Viscosity η\eta appears in Newton’s law of viscosity:

τ=ηdudy\tau = \eta \frac{du}{dy}

Where:

  • τ is shear stress (N/m² or M L⁻¹ T⁻²)

  • dudy\frac{du}{dy} is velocity gradient (T⁻¹)

So, viscosity dimension = Shear stressVelocity gradient=ML1T1\frac{\text{Shear stress}}{\text{Velocity gradient}} = M L^{-1} T^{-1}

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