Engineering Board Exam Reviewer · Physics · hard

A string 0.8 m long with a linear density of 0.01 kg/m is under a tension of 100 N. What is its fundamental frequency?

  1. 125.0 Hz
  2. 62.5 Hz
  3. 31.3 Hz
  4. 0.625 Hz

Answer

B. 62.5 Hz

Solution

Wave speed v = sqrt(T/ ) = sqrt(100/0.01) = 100 m/s. f1 = v/(2L) = 100/1.6 = 62.5 Hz.

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