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JAMB Physics 1988 Question 29

Question 29

Sound

Two strings of the same length and under the same tension give notes of frequencies in the ratio 4 : 1. The masses of the strings are in the corresponding ratio of

  1. A.2 : 1
  2. B.1 : 2
  3. C.1 : 4
  4. D.1 : 16.
Show the answer and explanation

Answer: D (1 : 16.)

Explanation

f ∝ 1/√m at fixed length and tension, so m ∝ 1/f². A frequency ratio 4 : 1 gives a mass ratio 1 : 16.