The lowest note emitted by a stretched string has a frequency of 40Hz. How many overtones are there between 40hz and 180Hz?

Assessment: JAMB UTME - Physics - 1999 Subject: Physics

Question 1 Report

The lowest note emitted by a stretched string has a frequency of 40Hz. How many overtones are there between 40hz and 180Hz?
Answer Details
The first overtone of a stretched string occurs at twice the frequency of the fundamental (lowest) frequency. Therefore, the first overtone of the string is at 80Hz, the second overtone is at 120Hz, and the third overtone is at 160Hz. Since the question asks for the number of overtones between 40Hz and 180Hz, we can count that there are three overtones within this range (80Hz, 120Hz, and 160Hz), so the answer is 3.
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