Question

Define viscosity find out its dimension of coefficient of viscosity

Answer 1

Answer:

Viscosity is defined as the opposing force, which opposes the motion of body in liquid. Its dimension is ML-1 T-1

Answer 2

Aηswer:

Since $\displaystyle\sf f = \eta A\dfrac{d\nu}{dx}$

where,

• f = viscous force
• A = area
• $\displaystyle\sf \dfrac{d\nu}{dx}$ = velocity of gradient
• η = coefficient of viscosity

$\displaystyle\sf$

$\displaystyle\sf \implies \eta = \dfrac{f}{A\dfrac{d\nu}{dx}}$

$\displaystyle\sf \eta = \dfrac{N}{\left[L^2\right]\left[\dfrac{1}{T}\right]}$

$\displaystyle\sf 1 N = \left[MLT^{-2}\right]$

$\displaystyle\sf \eta = \dfrac{\left[MLT^{-2}\right]}{\left[L^2][T^{-1}\right]}$

$\displaystyle\sf \boxed{\sf \implies \eta = \left[ML^{-1}T^{-1}\right]}$

Additional Information:

Viscosity:

Viscosity is the property of a fluid by virtue of which an internal frictional force comes into play when the fluid is in motion and opposes the relative motion of its different layer.