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?

Question

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?, 7 . 5 kHz, 5 kHz, 2 . 5 kHz, 10 kHz

MARKS App · Accepted Answer

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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