If length, force and time are taken as fundamental quantities, what would be the dimensional equations of (i) mass (ii) density?
Assume L, F and T denote the dimensions of the proposed fundamental quantities length, force and time, respectively.
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Force = mass ×acceleration
∴ Mass= force/acceleration= F/LT -2 = L -1 FT 2
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Density= massVolume= L -1 FT 2 /L 3 =L -4 FT 2