A rod $70 c m$ long is clamped from middle. The velocity of sound in the material of the rod is $3500 m s^{- 1}$ . The frequency of fundamental note produced by it is :

3500 H z

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2500 H z

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1250 H z

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700 H z

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Solution

The correct option is B $2500 H z$
SInce rod is clamped at middle, therefore only nodes can form at that point, and at free end only antinode can form, therefore for fundamental mode of frequency,
$λ / 4 = L / 2$
$λ = 2 L = 2 \times 70 c m = 1.4 m$
$v = 3500 m s^{- 1}$ is given,
We know, $v = f \times λ$ or $f = \frac{v}{λ} = 3500 / 1.4 = 2500 H z$
Option "B" is correct.

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A rod 70 cm long is clamped from middle. The velocity of sound in the material of the rod is 3500 ms−1. The frequency of fundamental note produced by it is :

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