Sound Wave formulas

Every formula JEE Advanced expects you to know for Sound Wave, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

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Formulas: 22
Subject: Physics
Exam: JEE Advanced
No sign-in needed: ₹0

Sound Wave, every formula

22 formulas, typeset and free. Print it, or keep it open beside your practice.

Speed of sound (general)
$v = \frac{E}{ρ}$
Speed in a gas (Newton–Laplace)
$v = \frac{γ P}{ρ} = \frac{γ R T}{M}$
Speed in a solid
$v = \frac{Y}{ρ}$
Wave relation
$v = f λ$
Temperature dependence
$v \propto T$
Intensity
$I = \frac{P}{A} = 2 π^{2} f^{2} A^{2} ρ v$
Intensity level (decibel)
$L = 10 lo g_{10} \frac{I}{I _{0}} dB$
Displacement wave
$y = A sin (ω t - k x)$
Pressure amplitude
$Δ P_{0} = B A k = ρ v ω A$
Beats
$f_{b e a t} = ∣ f_{1} - f_{2} ∣$
Closed pipe fundamental
$f = \frac{v}{4 L}$
Closed pipe harmonics
$f_{n} = (2 n - 1) \frac{v}{4 L} (odd only)$
Open pipe fundamental
$f = \frac{v}{2 L}$
Open pipe harmonics
$f_{n} = n \frac{v}{2 L}$
Doppler (general)
$f^{'} = f \frac{v \pm v _{o}}{v \mp v _{s}}$
Doppler (source approaching)
$f^{'} = f \frac{v}{v - v _{s}}$
Doppler (observer approaching)
$f^{'} = f \frac{v + v _{o}}{v}$
End correction (open pipe)
$f = \frac{v}{2 ( L + 0.6 d )}$
Resonance in a tube
$L = \frac{( 2 n - 1 ) λ}{4}$
Loudness–intensity
$L \propto lo g I$
Energy density of a wave
$u = 2 π^{2} f^{2} A^{2} ρ$
Speed at 0°C vs T°C
$v_{T} = v_{0} \frac{T}{273}$
T in kelvin

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Sound Wave formulas

Sound Wave, every formula

Speed of sound (general)

Speed in a gas (Newton–Laplace)

Speed in a solid

Wave relation

Temperature dependence

Intensity

Intensity level (decibel)

Displacement wave

Pressure amplitude

Beats

Closed pipe fundamental

Closed pipe harmonics

Open pipe fundamental

Open pipe harmonics

Doppler (general)

Doppler (source approaching)

Doppler (observer approaching)

End correction (open pipe)

Resonance in a tube

Loudness–intensity

Energy density of a wave

Speed at 0°C vs T°C

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