Answer:
17,947.02 Hz
Explanation:
length (L) = 62 cm = 0.62 m
tension (T) = 70 N
mass per unit length (μ) = 0.10000 g/cm = 0.010000 kg/m
maximum frequency = 18,000 Hz
f = [tex]\frac{n}{2L} x \sqrt{\frac{T}{μ}} [/tex]
f = [tex]\frac{n}{2 x 0.62} x \sqrt{\frac{70}{0.01} }[/tex]
f = n x 67.47
18,000 = n x 67.47
n = 266.8≈ 266
the 267th overtone is the highest overtone that can be heard by this person, and its frequency would be 26 x 67.47 = 17,947.02 Hz
