Standing Waves in Strings (HSC SSCE Physics): Flashcards

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Standing Waves in Strings
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Another name for standing waves

Stationary waves

Point of zero displacement in standing wave

Node

Simplest vibration pattern in a string

Fundamental mode or first harmonic

2nd harmonic in terms of overtones

1st overtone

Formula for nth harmonic frequency

fn=nf1f_n = nf_1

Wavelength of fundamental (λ1\lambda_1) for string length ll

λ1=2l\lambda_1 = 2l

General wavelength formula for nth harmonic

λn=2ln\lambda_n = \frac{2l}{n}

Wave velocity in stretched string formula

v=Tm⋅l−1v = \sqrt{\frac{T}{m \cdot l^{-1}}}

Fundamental frequency with tension formula

f1=12lTm⋅l−1f_1 = \frac{1}{2l}\sqrt{\frac{T}{m \cdot l^{-1}}}

Effect of increased tension on frequency

Higher frequency

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