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Why we use only M, L & T as base units in the dimensionally fromula

Asked by Ansuman 20th June 2016, 9:45 AM
Answered by Expert

Let us consider other possibilities of physical quantities which can be used in the dimensional analysis,

  • Instead of M,L and T if we use V,L and T it is observed that  the usage of V is redundant as V itself, is a derived physical quantity, as  begin mathsize 12px style straight V equals straight L over straight T end style where V is the dimensional abbreviation for Velocity.

  • Similarly even the usage of F for force will not give us a linear or fundamental dimensional representation for a physical quantity, because, begin mathsize 12px style straight F equals fraction numerator left square bracket straight M space straight L right square bracket over denominator straight T squared end fraction end style.

  • Thus it is concluded that the usage of M, L and T where M :-Mass, L:- Length and T:-Time is the most preferred base units in the dimensional formula as it gives us perfectly linear and a fundamental dimensional analysis.

  • It  also be learnt that for representing temperature, K is used as the base unit.

Answered by Expert 20th June 2016, 6:04 PM
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