Find relationship between speed of sound in a medium (v), the elastic constant (E) and the density of the medium `(rho)` .

Explanation

To find the relationship between the speed of sound in a medium (v), the elastic constant (E), and the density of the medium (ρ), we can use dimensional analysis. Here’s a step-by-step solution:

### Step 1: Establish the relationship
We start by assuming that the speed of sound (v) is related to the elastic constant (E) and the density (ρ) by the equation:
\[ v = K \cdot E^A \cdot \rho^B \]
where \( K \) is a dimensionless constant, and \( A \) and \( B \) are exponents to be determined.

### Step 2: Write down the dimensions
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