A violin string 30.0 cm long with linear density 0.650 g/m is placed near a loudspeaker that is fed by an audio oscillator of variable frequency. It is found that the string is set into oscillation only at the frequencies 1040 and 1560 Hz as the frequency of the oscillator is varied over the range 600-1600 Hz. What is the tension in the string?

Explanation

To find the tension in the violin string, we can follow these steps:

### Step 1: Identify the given values
- Length of the string (L) = 30.0 cm = 0.30 m
- Linear density (μ) = 0.650 g/m = 0.650 × 10^-3 kg/m = 0.00065 kg/m
- Frequencies at which the string vibrates (f1 = 1040 Hz, f2 = 1560 Hz)

### Step 2: Determine the difference in frequencies
...