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JAMB Physics 1994 Question 30

Question 30

Sound

The fundamental frequency of vibration of a sonometer wire may be halved by

  1. A.doubling the length of the wire
  2. B.doubling the mass of the wire
  3. C.reducing the tension by half
  4. D.reducing the absolute temperature by half.
Show the answer and explanation

Answer: A (doubling the length of the wire)

Explanation

f = (1/2L)√(T/m), so f ∝ 1/L: doubling the length halves the frequency. Halving the tension or doubling the mass only divides f by √2.