Practice mode Waves

A stretched string vibrates with a fundamental frequency of 200 Hz. If the tension is made four times as large with nothing else changed, what is the new fundamental frequency?

Correct answer C. 400 Hz

Explanation

Wave speed on a string is v = √(T/μ), and f = v/2L. Quadrupling the tension doubles v and hence doubles the frequency to 400 Hz.

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