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A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 × 10 3 kg m - 3 and its Young's modulus is 9.27 × 10 10 Pa . What will be the fundamental frequency of the longitudinal vibrations?

Options

  1. A7 . 5   kHz
  2. B5   kHz
  3. C2 . 5   kHz
  4. D10   kHz

Correct answer

B. 5   kHz

Step-by-step solution

L = ⋋ 2 ⇒ ⋋ = 2 L = 1.2   m v = y ρ = 5.86 × 10 3   m   s - 1 ∴   Fundamental   frequency = v ⋋ = 4.88   kHz ≈ 5   kHz

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