Question

According to Newton, the viscous force acting between liquid
layers of area A and velocity gradient ΔV/ΔZ is given by
F=ηA ΔV/ΔZ where η is constant called coefficient of viscosity. The
dimensional formula of η is
(a) ML⁻²T⁻² (b) M⁰L⁰T⁰
(c) ML²T⁻² (d) ML⁻¹T⁻¹

Answer 1

Answer:

Please refer to the attachment.

HOPE THIS HELPED!

@Shailene

Explanation:

Answer 2

Answer:

The dimensional formula of η is ML⁻¹T⁻¹ i.e.option(d).

Explanation:

From the question we have,

$F=\frac{\eta A\Delta V}{\Delta Z}$    (1)

Where,

F=force acting between the liquid layers

A=cross sectional area of the layers

η=coefficient of viscosity

$\frac{\Delta V}{\Delta Z}$=velocity gradient

Equation (1) can also be written as,

$\eta=\frac{F\Delta Z}{A\Delta V}$       (2)

By substituting the dimensional formula of all the components in equation (2) we get;

$\eta=\frac{[MLT^-^2][L]}{[L^2][LT^-^1]}$

$\eta=ML^-^1T^-^1$

Hence, the dimensional formula of η is ML⁻¹T⁻¹ i.e.option(d).

#SPJ2