A wire of length l having tension T and radius `r` vibrates with fundamental frequency `f`. Another wire of the same metal with length `2l` having tension `2T` and radius `2r` will vibrate with fundamental frequency :

Options

A. f
B. 2f
C. `f/(2sqrt2)`
D. `f/2sqrt2`

Explanation

To solve the problem, we need to determine the fundamental frequency of the second wire based on the properties of the first wire.

### Step-by-Step Solution:

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