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What is Dimensional Formula of Linear Mass Density?

Linear Mass Density is defined as measure of mass per unit of length.

Mathematically,
Linear Mass Density = Mass / Length.

Dimensional Formula of Mass = M1L0T0.
Dimensional Formula of Length = M0L1T0.

Putting these values in above equation we get,

Dimensional Formula of Linear Mass Density = M1L-1T0.
SI unit of Linear Mass Density is kg m-1.

Please note : Linear mass density is the quantity of mass per unit length. Here length is a simple metre quantity. Linear densities are basically used for long thin objects. Please do not get confused between Linear mass density and density.

posted in Dimensional Formulae | 5 Comments

What is Dimensional Formula of Rate of Flow?

Rate of flow is defined as the quantity of a fluid flowing per second through a section of a pipe or a channel.
Rate of flow is also known as Discharge Q.

Mathematically,
Rate of flow = Volume / time

Dimensional Formula of Volume = M0L3T0.
Dimensional Formula of time = M0L0T1.

Putting these values in above equation we get,
Dimensional Formula of Rate of Flow= M0L3T-1.
SI unit of Rate of flow is m3s-1

posted in Dimensional Formulae | 2 Comments

What is Dimensional Formula of Planck’s Constant?

The Planck’s constant (h) can be defined as a proportionality constant that relates the energy (E) of a photon to the frequency (ν) of its associated electromagnetic wave.

Mathematically,
Planck’s Constant (h) = Energy(E) / frequency (ν).

Dimensional Formula of energy = M1L2T-2.
Dimensional Formula of frequency = M0L0T-1.

Putting these values in above equation we get,
Dimensional Formula of Planck’s constant = M1L2T-1.
SI unit of Planck’s constant is joule-seconds (j-s).

posted in Dimensional Formulae | 16 Comments

What is Dimensional Formula of Velocity Gradient?

Velocity Gradient is defined as rate of change in velocity per unit of distance.

Mathematically,
Velocity Gradient= velocity/distance.

Dimensional Formula of velocity= M0L1T-1

Putting these values in above equation we get,
Dimensional Formula of Velocity Gradient = M0L0T-1
SI unit of Velocity Gradient is s-1

posted in Dimensional Formulae | 8 Comments

What is Dimensional Formula of Velocity of Light in Vacuum?

Velocity of Light in Vacuum is defined as the ratio of distanced travelled by light in vacuum to the time taken to do so. For Example: It takes 1/299792458 seconds for light in vacuum to pass 1 meter.

Mathematically,
Velocity of Light in vacuum = distance travelled / time taken = L/T.

Dimensional Formula of Length = M0L1T0
Dimensional Formula of Time = M0L0T1

Putting these values in above equation we get,
Dimensional Formula of Velocity of Light in Vacuum = M0L1T-1
SI unit of Velocity of Light in Vacuum  is ms-1

posted in Dimensional Formulae | 1 Comment

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