Answer :
Final answer:
The correct frequency for the mode of vibration with the lowest frequency for the violin string is 598 Hz.
Explanation:
The frequency of the mode of vibration with the lowest frequency for the violin string described can be calculated using the formula for the fundamental frequency of a vibrating string: f = (1 / 2L) √(T / μ), where L is the length of the string, T is the tension, and μ is the mass/length of the string. Plugging in the given values, we find:
f = (1 / 2*0.20) √(120 / 0.002) = 598 Hz.
Therefore, the correct frequency for the mode of vibration with the lowest frequency is 598 Hz.
