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What is Dimensional Formula of Gravitational Potential?

The Gravitational Potential at a point in a gravitational field is defined as the amount of work done in bringing a body of unit mass from infinity to that point without acceleration.The gravitational potential at a point is always negative, it is maximum (= 0 ) at infinity.

Mathematically,

Gravitational Potential at a point (V) = Work done (W) / mass (M)

Dimensional Formula of Work= M1L2T-2
Dimensional formula of  Mass = M1L0T0

Putting these values in above equation we get,
The Dimensional formula of Gravitational Potential is M0L2T-2.
The SI unit of Gravitational Potential is J kg-1.

 

What is Dimensional Formula of Weight?

In physics weight is defined as the product of mass and acceleration. It is the force with which the earth attracts the body towards its centre.

Mathematically,
Weight = Mass x Acceleration.

Dimensional Formula of Mass = M1L0T0
Dimensional Formula of Acceleration = M0L1T-2

Putting these values in above equation we get,

Dimensional Formula of Weight = M1L1T-2
SI Unit of Weight is newton (N) or Kg.m.s-2

What is Dimensional Formula of Temperature?

Temperature of a body is defined as the property that determines whether or not a body is in thermal equilibrium with other bodies. In other words Temperature is degree of hotness or coldness in a body and is a measure of heat energy level. In Thermodynamics temperature is measured in Kelvin (K). Kelvin is one of the seven base unit in the International System of Unit(SI)

So,
Dimensional Formula of Temperature = M0L0T0K1
SI Unit of Temperature is K(Kelvin).

What is Dimensional Formula of Heat?

Heat is defined as the form of energy that is transferred across the boundary of a system at a given temperature to another system at a lower temperature by virtue of the temperature difference between the two system.

Mathematically,
Heat = Energy

Dimensional formula of Energy = M1L2T-2

Putting these values in above equation we get,
Dimensional Formula of Heat = M1L2T-2
SI unit of Heat is Joule (J)

What is Dimensional Formula of Angular Wave number?

Angular wave number ( k ) is constant for a particular wave , which is  closely related to the  wavelength of the wave. In geophysics  we are related to oscillating waveform,  angular frequency and angular wave number. Angular wave number can be defined as the ratio of angular frequency to velocity.

Mathematically,

Angular wave number ( k )  = Angular frequency / Velocity

Dimensional formula of Angular Frequency = M0L0T-1
Dimensional formula of Velocity = M0L1T-1

Putting these values in above equation we get,

Dimensional Formula of Angular wave number ( k ) = M0L-1T0
SI Unit of Angular wave number ( k ) is radians per meter

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