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WAEC Physics 2020 Objective — Question 27

Question 27 of 50 from the West African Examinations Council (WAEC) Physics 2020 Objective paper, with the correct answer and a full explanation.

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What factors determine the frequency of vibration of a sonometer wire/string?

  • A. Amplitude of vibration, force constant of string and length of string
  • B. Amplitude of vibration, force constant of string and tension of string
  • C. Mass per unit length of string, tension in string and length of stringCorrect
  • D. Force constant of string, tension and length of string

Explanation

The frequency of a note emitted by a vibrating string is given by f = (1/2l) x sqrt(T/mu), where T = tension in string, mu = mass per unit length, l = length of string. Thus f is proportional to 1/l, f is proportional to sqrt(T), and f is proportional to 1/sqrt(mu).

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