Question

What is the dimension formula of young's modulus

Answer 1

Young's modulus = Stress/Strain 
                            = F/A x e/l
                            = ma/A x e/l
Where,
F = force
A = area of cross section
e = elongation
l = actual length
a = acceleration 
m = mass                          
 By their units,
                                    Y = [(kg x m/s²) / (m²)] x m/m
                                    Y = (Kg x m) / (m²s²)
                                    Y = Kg/ms²

In dimension formula    Y = [ M L⁻¹ S⁻²]

Answer 2

Youngs modulus= strain/strain

=F/A*e/l

=[MLT^-2]/[L]^2 *

[L]/[L]

=[ML^-1 T^-2 ]