Dimensional Formulae and Equations
Dimensional Formulae and Equations: Overview
This topic covers concepts such as Dimensions, Dimensions of Fundamental Quantities, Dimensional Formula of Derived Quantities, Quantities with Same Dimensions, Dimensions of Important Quantities and Homogeneity of Dimensions.
Important Questions on Dimensional Formulae and Equations
The dimension of , where is permittivity of free space and E is electric field, is:

Dimensions of resistance in an electrical circuit in terms of dimension of mass , length , time and current , would be

The dimensions of Planck’s constant are same as

Which one of the following groups have quantities that do not have the same dimensions?

The dimensional formula for magnetic flux is

Which of the following will have the dimensions of time?

An equation is given as : where temperature. If a and b are constant, then dimensions of ‘a’ will be:

An equation is given as : where temperature. If a and b are constant, then dimensions of ‘a’ will be:

The dimensional formula of pressure is:

According to Newton, the viscous force acting between liquid layers of area and velocity gradient is given by Where

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient is given by , where is constant called coefficient of viscosity. The dimensional formula of is:

Of the following quantities, which one has dimension different from the remaining three?

The dimensional formula of torque is

If and denote capacitance and resistance, the dimensional formula of is

Turpentine oil is flowing through a tube of length and radius r. The pressure difference between the two ends of the tube is p. The viscosity of oil is given by
Where is the velocity of oil at a distance from the axis of the tube. The dimensions of are:

The dimensional formula for permeability is given by

The dimensional formula for permeability is given by

The dimensional formula for angular momentum is:

What is the dimensional formula of gravitational constant?

The dimensional formula of the constant in Vander Waal’s gas equation is:
