Question

The dimensional formula of cofficient of viscosity. *


ML-¹T-¹

ML-²T-¹

M-¹LT-¹

MLT-¹

​

Answer 1

Answer:

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.

Mathematically,

Coefficient of viscosity (η)= Fr/Av   where F = tangential force, r = distance between the layers , v = velocity.

Dimensional Formula of Force = M1L1T-2

Dimensional Formula of Area= M0L2T0

Dimensional Formula of distance= M0L1T0

Dimensional Formula of velocity= M0L1T-1

Putting these values in above equation we get,

[η]= [M1L1T-2][M0L1T0] / [M0L2T0] [M0L1T-1] = [M1L-1T-1]

Dimensional Formula of Coefficient of viscosity (η)=[M1L-1T-1]

SI unit of Coefficient of viscosity (η) is Pascal-second

Explanation:

Answer 2

Hi,

Velocity = $\frac{displacement}{time}$

Since dimension of displacement is [L]

And times dimension is [T]

So dimension of velocity= $\frac{L}{T}$ = [ LT-¹ ]

∴ MLT-¹ => $\orange{\bigstar}\:\:{\underline{\boxed{\bf\red{Option\:D}}}}$