Question Detail
Question
For a string clamped at two ends, the fundamental frequency (first harmonic) is given by the formula f = (1/2l) * √(F/μ) (when n=1). What is the frequency of the first overtone (second harmonic) for such a string?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Page 10, under 'Resonance', provides the formula for resonant frequencies as f = (n/2l) * √(F/μ). The fundamental frequency corresponds to n=1. The first overtone is the second harmonic, which corresponds to n=2. Therefore, for the first overtone, f₂ = (2/2l) * √(F/μ).
Hint
Recall that the first overtone is equivalent to the second harmonic. Use the general formula for resonant frequencies provided in the 'Resonance' section on page 10.