The speed of a sound wave, v going through an elastic matter depends on the density of the elastic matter, p and a constant E given as equation :
V = E ^ 1/2 - p ^ -1/2
Determine the dimension for E in its SI units .

Question

The speed of a sound wave, v going through an elastic matter depends on the density of the elastic matter, p and a constant E given as equation :
       V = E ^ 1/2 - p ^ -1/2
Determine the dimension for E in its SI units .

vincent-lyon.fr · Answer

$v=\sqrt{\Large\frac{E}{\rho}}$ => $E=\rho \,v^2$

What are dimensions of $\rho$ and $v$ ?

anonymous · Answer

Obviously E is the elasticity of the material. So the dimention will be:
(unit of stress), that is>>
$$Newton-metre^{-2}$$