The density of a metal at normal pressure is `rho`. Its density when it is subjected to an excess pressure p is `rho'` . If B is the bluk modulus of the metal, then find the ratio `rho'//rho`.

Explanation

To solve the problem, we need to find the ratio of the density of the metal under excess pressure (\(\rho'\)) to its density at normal pressure (\(\rho\)). We will use the concept of bulk modulus in our calculations.

### Step-by-step Solution:

1. **Understanding the Bulk Modulus**:
The bulk modulus \(B\) is defined as the ratio of the change in pressure to the relative change in volume:
\[
B = -\frac{P}{\frac{dV}{V}}
...