A sitar wire is replaced by another wire of same length and material but of three times the earlier radius. If the tension in the wire remains the same, by what factor will the frequency change ?

Explanation

To solve the problem, we need to determine how the frequency of a sitar wire changes when the radius is increased while keeping the tension constant.

### Step-by-Step Solution:

1. **Understanding the relationship between frequency and physical parameters**:
The frequency \( f \) of a vibrating string is given by the formula:
\[
f = \frac{N}{2L} \sqrt{\frac{T}{M}}
...