The velocity of sound in a gas depends on its pressure and density . Obtain the relation between velocity , pressure and density.

Explanation

To derive the relation between the velocity of sound in a gas (v), pressure (P), and density (d), we can use dimensional analysis. Here’s a step-by-step solution:

### Step 1: Define the Variables
Let:
- \( v \) = velocity of sound
- \( P \) = pressure
- \( d \) = density

...