When vibrating at a frequency of 12 Hz, a standing wave pattern containing four loops is produced in a string fixed at both ends. To produce a standing wave pattern containing five loops, the frequency of vibration is
A) 1.7 Hz.
B) 4.0 Hz.
C) 9.6 Hz.
D) 15 Hz.
E) 60 Hz.

Question

Quizplus · Accepted Answer

The frequency required to produce a standing wave pattern is directly proportional to the number of loops (or antinodes) formed. If 12 Hz produces 4 loops, then each loop corresponds to 3 Hz (since 12 Hz / 4 loops = 3 Hz/loop). For 5 loops, the frequency would be 5 loops * 3 Hz/loop = 15 Hz.

When Vibrating at a Frequency of 12 Hz, a Standing