Question

If force area and density are taken as the fundamental units what is the representation of young modulus

Answer 1

Force = F = mass * acceleration = M L T⁻²
Area = A = meter² = L²
Density = D = mass / volume = M L⁻³

Y = stress / strain = ( Force / Area ) / ( elongation / length)
   = (F / A ) / ( L / L)
   = F A⁻¹

Answer 2

force = m×a
density = m/v
area = L*L=L³
y=stress/strain 
Y=(F/A)/(L/L)
Y=F/A
Y=MLT^-2/L*L
Y=ML^-1*T^-2 ans