The vibrations of four air columns are shown below. The ratio of frequencies is:
1
2
3
4
Official Solution
Correct Option: (4)
Step 1: Understanding the Harmonic Frequencies - The frequency of vibration in an air column depends on the number of nodes and antinodes formed in the standing wave. - The fundamental frequency is given by: Step 2: Identifying the Harmonics Observing the diagrams: - The first column shows the fundamental mode: . - The second column shows the fourth harmonic: . - The third column shows the second harmonic: . - The fourth column shows the third harmonic: . Thus, the ratio is: Thus, the correct answer is:
