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A string that is 1 meter long and has a mass of 2 × 10⁻⁵ kg is stretched under a tension T. When vibrating, it produces two consecutive harmonics with frequencies of 750 Hz and 1000 Hz. What is the value of the tension T in Newtons?
- 10 N
- 20 N
- 30 N
- 40 N
Correct answer: 20 N
Solution
The difference between consecutive harmonics corresponds to the fundamental frequency. Using the wave equation for a stretched string and substituting the given data, the tension T is calculated to be 20 N.
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