JAMB Physics 2000 Question 18

Question 18

Sound

A sonometer wire is vibrating at frequency fo. If the tension in the wire is doubled while the length and the mass per unit length are kept constant, the new frequency of vibration is

  1. A.fo/2
  2. B.2fo
  3. C.fo/√2
  4. D.fo√2
Show the answer and explanation

Answer: D (fo√2)

Explanation

f ∝ √T, so doubling the tension multiplies the frequency by √2: fo√2.