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A metal rod of length 125 cm is clamped at its midpoint. If the speed of the sound in the metal is 5000ms\(^{-1}\), then the fundamental frequency of the longitudinal vibrations of the rod is
A metal rod of length 125 cm is clamped at its midpoint. If the speed of the sound in the metal is 5000ms\(^{-1}\), then the fundamental frequency of the longitudinal vibrations of the rod is
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For standing waves in rods:
- Clamped end/point = Node.
- Free end = Antinode.
The simplest vibration mode (fundamental) will have the fewest possible nodes and antinodes. For a rod clamped at the center, the fundamental mode has a wavelength twice the length of the rod (\(\lambda = 2L\)).
Updated On: Mar 30, 2026
- 2 kHz
- 20 kHz
- 0.2 kHz
- 200 kHz
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The Correct Option is A
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