Question

Four standing wave segments, or loops, are observed on a string fixed at both ends as it vibrates at a frequency of 240 hz. what is the fundamental frequency of the string?

a) 23 hz
b) 28 hz
c) 35 hz
d) 60 hz
e) 80 hz g

Answer 1

The fundamental frequency for a string with four standing waves vibrating at 240 Hz is 60 Hz, which is found by dividing the given frequency (240 Hz) by the number of harmonics, which in this case is 4.

Step-by-step explanation:

The student is asking about fundamental frequencies and specifically how to calculate it for a string with four standing waves or loops at a certain frequency. The fundamental frequency is the lowest frequency of a periodic waveform and in the case of a string fixed at both ends, it corresponds to the first harmonic. Since the string vibrates with four segments at 240 Hz, this frequency represents the fourth harmonic (or the third overtone). To find the fundamental frequency, we should divide the given frequency by the number of harmonics (segments).

In this case, the fundamental frequency (first harmonic) would be:

240 Hz (given frequency) ÷ 4 (number of harmonics) = 60 Hz

Therefore, the correct answer to the student's question is 60 Hz, which corresponds to option (d).