Wave ON String formulas

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

Practise these formulas 335 practice questions

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

Wave ON String, every formula

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

Wave equation
$y = A sin (ω t - k x)$
Wave speed
$v = f λ = \frac{ω}{k}$
Angular frequency
$ω = 2 π f$
Wave number
$k = \frac{2 π}{λ}$
Speed on a string
$v = \frac{T}{μ}$
Linear mass density
$μ = \frac{m}{L}$
Wave equation (PDE)
$\frac{\partial ^{2} y}{\partial t ^{2}} = v^{2} \frac{\partial ^{2} y}{\partial x ^{2}}$
Particle velocity
$v_{p} = \frac{\partial y}{\partial t} = - v \frac{\partial y}{\partial x}$
Power transmitted
$P = 2 π^{2} f^{2} A^{2} μv$
Intensity
$I \propto A^{2} f^{2}$
Standing wave
$y = 2 A sin (k x) cos (ω t)$
Node spacing
$Δ x = \frac{λ}{2}$
Distance node to antinode
$\frac{λ}{4}$
Fundamental frequency (fixed ends)
$f_{1} = \frac{v}{2 L} = \frac{1}{2 L} \frac{T}{μ}$
nth harmonic (fixed ends)
$f_{n} = n \frac{v}{2 L}$
Number of loops
$L = \frac{nλ}{2}$
Reflection from a fixed end
$phase change of π$
Reflection from a free end
$no phase change$
Superposition principle
$y = y_{1} + y_{2}$
Speed vs tension
$v \propto T$
Frequency of a sonometer wire
$f = \frac{p}{2 L} \frac{T}{μ}$
Energy density
$u = 2 π^{2} f^{2} A^{2} μ$

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Wave ON String formulas

Wave ON String, every formula

Wave equation

Wave speed

Angular frequency

Wave number

Speed on a string

Linear mass density

Wave equation (PDE)

Particle velocity

Power transmitted

Intensity

Standing wave

Node spacing

Distance node to antinode

Fundamental frequency (fixed ends)

nth harmonic (fixed ends)

Number of loops

Reflection from a fixed end

Reflection from a free end

Superposition principle

Speed vs tension

Frequency of a sonometer wire

Energy density

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