A string (m = 1 kg) fixed at both ends is vibrating in its second harmonic mode. If the length of the string is 2 m and it feels 50 N of tension, which of the following is NOT a possible harmonic frequency for this string?
- a) 1.25 Hz
- b) 2.5 Hz
- c) 5 Hz
- d) 10 Hz
- e) 20 Hz
The Attempt at a Solution
- μ=1 kg/2 m = 0.5 kg/m
- The velocity is 10 m/s, from sqrt(50 N/0.5 kg/m)
- The frequency is 5 Hz, from (2 * 10 m/s)/(2 * 2 m)
I feel like this problem has an error, since I actually got a specific answer, and only one answer is possible given all the information from the question. Can someone here please confirm this?