Question

If length ‘L’, force ‘F’ and time ‘T’ are taken as fundamental quantities, what would be the dimensional equation of mass and density?

Answer 1

(i) Force = Mass × Acceleration Force

∴ Mass = \(\frac{Force}{Acceleration}\)

∴ Dimensional equation of mass

(ii) Density = \(\frac{Mass}{Volume}\)

Dimensional equation of density

= [F¹L^-4T²]

(i) The dimensional equation of mass is [F¹L^-1T²].

(ii) The dimensional equation of density is [F¹L^-4T²].