Wave Motion 2 Question 9

9. A granite rod of 60cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7×103kg/m3 and its Young’s modulus is 9.27×1010Pa. What will be the fundamental frequency of the longitudinal vibrations?

(2018 Main)

(a) 7.5kHz

(b) 5kHz

(c) 2.5kHz

(d) 10kHz

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Answer:

Correct Answer: 9. (b)

Solution:

  1. Wave velocity (v)=Yρ=5.86×103m/s

For fundamental mode, λ=2l=1.2m

Fundamental frequency =vλ=4.88kHz5kHz



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