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 wire is replaced by another wire of the same length and material but with three times the earlier radius, while keeping the tension constant.

### Step-by-Step Solution:

1. **Understand the Frequency Formula**:
The frequency \( f \) of a vibrating wire is given by the formula:
\[
f = \frac{n}{2L} \sqrt{\frac{T}{\mu}}
...