High School

A string on a violin is stretched between two points 20.0 cm apart with a tension of 120 N. The mass per unit length of the string is 0.00200 kg/m. What is the frequency of the mode of vibration with the lowest frequency?

A. 750 Hz
B. 598 Hz
C. 550 Hz
D. 612 Hz
E. 502 Hz

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.