Question

What is the dimensional formula of viscosity....??​

Answer 1

Explanation:

Derivation

Viscosity = Tangential Force × Distance between layers × [Area × Velocity]-1 . . . . . (1)

Since, Tangential Force = M × a = M × [L T-2]

∴ The dimensional formula of Tangential Force = M1 L1 T-2 . . . . (2)

And, the dimensions of area and velocity = M0 L2 T0 and M0 L1 T-1 . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Viscosity = Force × [Area × Velocity]-1 × Distance between layers

Or, η = [M1 L1 T-2] × [M0 L2 T0]-1 × [M0 L1 T-1]-1 × [M0 L1 T0] = [M1 L-1 T-1].

Therefore, viscosity is dimensionally represented as [M1 L-1 T-1].

Answer 2

Explanation:

$\huge{\underline{\mathtt{\red{ƛ}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}} :) :)$

$\tt{Therefore, viscosity is \: dimensionally \: represented \: as} \\ \huge\tt \blue{[ {M}^{2}   {L}^{ - 1} {T}^{ - 1} ].}$

Hope it helpful...✌️❤️