Refer the attached picture.
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its f=nv/2l
v=velocity
l=lenght of string
n=natural number
since its clamped in middle therefore its 2nd harmonic or 1st overtone
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Length of the steel rod, l = 100 cm = 1 m
Fundamental frequency of vibration, ν = 2.53 kHz = 2.53 × 103 Hz
When the rod is plucked at its middle, an antinode (A) is formed at its centre, and nodes (N) are formed at its two ends, as shown in the given figure.
The distance between two successive node is λ/2
∴ l = λ/2
λ = 2l = 2 × l = 2 m
The speed of sound in steel is given by the relation:
v = νλ
= 2.53 × 103 × 2
= 5.06 × 103 m/s
= 5.06 km/s
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