Derive v = 2 l_nf_n for the nth harmonic

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The discussion focuses on deriving the expression v = 2 l_n f_n for the nth harmonic, where l_n represents the shortest distance between nodes and f_n is the frequency. There is confusion regarding whether to take the derivative of wave speed, with one participant suggesting that this would yield wave acceleration. The relationship between the nth harmonic frequency and the fundamental frequency is noted, indicating that f_n equals n times the fundamental frequency. Additionally, l_n is defined as half the wavelength for the nth harmonic. The conversation emphasizes understanding the derivation process for wave speed in relation to harmonic frequencies.
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Homework Statement


Derive the expression v = lnfn where ln is the shortest distance between nodes for the nth harmonic.


Homework Equations


v = wave speed
ln = shortest distance between nodes for the nthharmonic
fn = frequency of the nth harmonic


The Attempt at a Solution



Is it asking me to take the derivative of the wave speed, which I believe would give me the acceleration of the wave?

So,

wave acceleration = 2*ln

Am I making any sense?
 
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nth harmonics of fo is n times fo. Similarly ln is equal to (lambda)o/2n.
Now proceed.
 

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