The dimensional formula of the coefficient of viscosity is:
A
[M¹L⁻¹T⁻¹]
B
[M¹L¹T⁻¹]
C
[M⁻¹L¹T⁻¹]
D
[M⁻¹L¹T¹]
Correct Option:
A
Explanation
From Newton's law of viscosity, shear stress = η(dv/dy). Shear stress has dimensions [ML⁻¹T⁻²], while the velocity gradient has dimensions [T⁻¹]. Thus [η] = [ML⁻¹T⁻¹].