Answer:
[tex]b=\frac{1}{2}[/tex] and [tex]a=-\frac{1}{2}[/tex]
Explanation:
The velocity longitudinal waves depends on the bulk modulus and the density. It is given by the formula:
[tex]V=\sqrt{\frac{\beta }{\rho} }[/tex]
Where V is the velocity , β is the bulk modulus and ρ is the density.
[tex]V=\sqrt{\frac{\beta }{\rho} }\\V=\frac{\beta^\frac{1}{2} }{\rho^\frac{1}{2} } \\V=\beta^\frac{1}{2} \rho^-\frac{1}{2}[/tex]
Therefore comparing with [tex]V =E ^b d ^a[/tex], where V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density, the values of b and a can be gotten.
Therefore, [tex]b=\frac{1}{2}[/tex] and [tex]a=-\frac{1}{2}[/tex]
