Dimension and Dimensional Analysis

The dimension of $\frac{1}{2}{\epsilon }_0{E}^2$, where  ${\epsilon }_0$ is permittivity of free space and E is electric field, is:

The dimensions of Planck’s constant are same as

The dimensional formula for magnetic flux is

According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient  $\frac{\Delta v}{\Delta z}$ is given by $F=-\eta A\frac{\Delta v}{\Delta z}$ Where $\eta$ is the constant, called coefficient of viscosity. The dimensional formula of $\eta$ is

If $C$ and $R$ denote capacitance and resistance, the dimensional formula of $CR$ is

Turpentine oil is flowing through a tube of length $l$ and radius r. The pressure difference between the two ends of the tube is p. The viscosity of oil is given by

                         $\eta =\frac{p\left(r^2-x^2\right)}{\mathrm{}\mathrm{}\mathrm{}4vl}$

Where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of  $\eta$ are:

The dimensional formula for permeability $\mu$ is given by

The dimensional formula for permeability $\mu$ is given by

What is the dimensional formula of impedance?

The dimensional formula of  Planck’s constant is

Out of the following pair, which one does NOT have identical dimensions?

Dimensions of $\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}$ ,where symbols have their usual meaning, are

The physical quantities not having same dimensions are –