In a sonometer wire the fundamental frequency of the wire is `260 Hz`. In sonometer the tension is maintained by suspending a `50.7 kg` mass. When the suspended mass is completely submerged in water the fundamental frequency becomes `240 Hz`. The suspended mass has a volume

Options

A. `0.002 m^(3)`
B. `0.0075 m^(3)`
C. `0.004 m^(3)`
D. `0.006 m^(3)`

Explanation

To solve the problem step by step, we will analyze the changes in frequency when the mass is submerged in water and derive the volume of the suspended mass.

### Step 1: Understand the relationship between frequency and tension
The fundamental frequency \( f \) of a vibrating string is given by the formula:
\[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \]
where:
...