The first overtone of a stretched string of given length is 320 Hz. The first harmonic is_________?
Correct answer: C. 160 Hz
- A. 320 Hz
- B. 640 Hz
- C. 160 Hz
- D. 480 Hz
Explanation
For a stretched string fixed at both ends, the first overtone is the second harmonic, so its frequency is twice the fundamental frequency. Thus, 320 Hz = 2f1, giving f1 = 320 Hz ÷ 2 = 160 Hz. The likely choice is a, because some students confuse the first overtone with the first harmonic.
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About Stationary Waves
Stationary waves form when two waves of the same frequency and amplitude travel in opposite directions and interfere. The topic covers nodes, antinodes, wavelength, phase, resonance, and the allowed frequencies on strings and in air columns. Unlike progressive waves, stationary waves do not transfer energy from one point to another.
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