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for a particular rope, it's found that the second harmonic frequency is 8 hz. What is the fifth harmonic frequency
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22 votes
for a particular rope, it's found that the second harmonic frequency is 8 hz. What is the fifth harmonic frequency

User Llasram
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1 Answer

18 votes
18 votes

Given

Rope at second harmoic frequency is 8hz

Procedure

The fundamental vibrational mode of a stretched string is such that the wavelength is twice the length of the string.

f1 = Fundamental frequency

f2 = 2f1

f1 = f2/2

f1 = 8 Hz/2

f1 = 4 Hz

Now, for the fifth harmonic

f5 = 32f1

f5 = 32*4

f5 = 128 Hz

The fifth harmonic would be 128 hz

User Ritsaert Hornstra
by
3.2k points
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