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Standing waves on a 1.5-meter long string that is fixed at both ends are seen at...

Standing waves on a 1.5-meter long string that is fixed at both ends are seen at successive (that is, modes m and m + 1) frequencies of 38 Hz and 42 Hz respectively. The tension in the string is 720 N.

  1. What is the fundamental frequency of the standing wave? Hint: recall that every harmonic frequency of a standing wave is a multiple of the fundamental frequency.

  2. What is the speed of the wave in the string?

  3. What is the linear density (mass-to-length ratio) of the string?

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Answer #1

Here we apply concept of standing wave on string and formula for velocity of wave on string.

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