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Units And Measurement

Question
CBSEENPH11020562

If force (F), velocity (v) and time (T) are taken as fundamental units, then the dimensions of mass are

  • [FvT-1]

  • [FvT-2]

  • [Fv-1T-1]

  • [Fv-1T]

Solution

D.

[Fv-1T]

We know that,
F = ma
That is,
F = mv/t
straight m space equals space Ft over straight v
So, left square bracket straight M right square bracket space equals space fraction numerator left square bracket straight F right square bracket left square bracket straight T right square bracket over denominator left square bracket straight V right square bracket end fraction space equals space left square bracket space Fv to the power of negative 1 end exponent straight T right square bracket