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

Answer:

Mass:- [FL^-1T^2]

Density:- [FL^-4T^2]

Answer 2

Answer:

Dimension of mass =  M

Density = $\dfrac{M}{L^{3}}$

Explanation:

We have been given by question

L= length

F = Force

T = Time

Now

We know that

Force F = mass of the object × acceleration

Acceleration = $\frac{Length}{Time^{2}} \\Accerlation = \frac{L}{T^{2}}$

Now

Dimension of mass = [  M ]

Now

Density = $\frac{Mass}{volume}$

Volume = Length × Width × Height

Volume = L× L × L

Density = $\dfrac{M}{L^{3}}$