A wave travels out in all direction from a point source. Justify the expression `y=(a_(0)/r) sin k (r-vt)`, at a distance r from the source. Find the speed, periodicity and intensity of the wave.what are the dimensions of `a_(0)`?

Explanation

To solve the problem step by step, we will analyze the expression \( y = \frac{a_0}{r} \sin(k(r - vt)) \) and derive the required parameters: speed, periodicity, intensity, and the dimensions of \( a_0 \).

### Step 1: Understanding the Wave Equation

The given wave equation is:
\[ y = \frac{a_0}{r} \sin(k(r - vt)) \]
...