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What is Dimensional Formula of all Fundamental Physical Quantities (Basic Quantities)?

All physical quantities can be defined in terms of few fundamental physical quantities like Length, Mass and Time. The unit of these fundamental physical quantities or basic quantities are independent of  each other and no one can further resolve it into any other unit. There are 7 basic or fundamental physical quantities. They are Length, Mass, Time, Temperature, Electric Current, Luminous Intensity and Amount of  Substance.

Fundamental Physical Quantities SI Unit Symbol  Dimensional Formula
Length  metre  m M0L1T0
Mass  kilogram  kg M1L0T0
Time  second  s M0L0T1
Temperature  kelvin  K or θ M0L0T0θ  or M0L0T0K1
Electric Current  ampere  A M0L0T0A1
Luminous Intensity  candela  Cd M0L0T0Cd1
Amount of Substance  mole  mol M0L0T0mol1

 

Supplementary units SI Unit Symbol  Dimensional Formula
Plane Angle  radian  rad  Dimensionless
Solid Angle  steradian  Sr  Dimensionless

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What is Dimensional Formula of Amplitude of Wave?

The amplitude of wave is defined as the maximum displacement of any point from its rest or equilibrium position on a wave.

Mathematically,

Amplitude of wave = Maximum displacement.

Dimensional formula of displacement = M0L1T0

Putting this value in the above equation we get,

Dimensional Formula of Amplitude of Wave = M0L1T0.
SI unit of Amplitude of Wave is metre(m).

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What is Dimensional Formula of Tension?

Tension is defined as the magnitude of force.

Mathematically,

Tension = Force.
Dimensional Formula of Force= M1L1T-2. [Check how Dimensional Formula of force is derived]

Putting these values in above equation we get,

Dimensional Formula of Tension= M1L1T-2
SI unit of Tension is Newton (N).

posted in Dimensional Formulae | 6 Comments

What is Dimensional Formula of Energy?

Energy is defined as ability to do work.

Mathematically,
Energy = Work.

Dimensional formula of Work = M1L2T-2 [Check how Dimensional Formula of work is derived]

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

posted in Dimensional Formulae | 10 Comments

What is Dimensional Formula of Displacement?

Displacement is defined as change in the position of the particle in a specific direction during a time interval. It is a vector quantity.

The Dimensional Formula of Displacement is M0L1T0
SI unit of Displacement is metre (m).

posted in Dimensional Formulae | 1 Comment