Wave FormulaElectromagnetic wave equations are given as below  
Description  Formula  
Gauss’s Law for electricity  ∮ E.da=Q/ϵ_0  
Gauss’s Law for Magnetism  B.dA=0  
Faraday’s Law  E.dl=dϕdt  
AmpereMaxwell Law  ∮ B.dl=μ_0 ϵ_0 (dϕ_E)/dt  
Speed of Light in Vacuum  c=1/√(μ_0 ϵ_o )  
Speed of light in medium  v=1/√μϵ  
Relation between Electric and Magnetic field  E_0/B_0 =c  
Wave FormulaThe formula for wave are as stated below  
Description  Formula  
General Equation of Wave Motion  (∂^2 y)/(∂t^2 )=v^2 (∂^2 y)/(∂x^2 )  
Wave number  
Phase of a Wave  It is the difference in phases of two particles at any time t. ∆ϕ=2π/λ∆x  
Speed of Transverse Wave Along a String / Wire  v=√(T/μ) where T=Tension(1) μ=mass per unit length  
Power Transmitted Along The String By a Sine Wave  Average Power (P) P=2π^2 f^2 A^2 μv v =velocityIntensity I=P/S=2π^2 f^2 A^2 ρv  
Longitudinal Displacement of Sound Wave  ϵ=A sin(ωtkx)  
Pressure Excess during travelling sound wave  P_ex=B ∂ϵ/∂x=(B) Cos (ωtkx) Where B is the Bulk Modulus Pex is the excess pressure  
Speed of Sound  C=√(E/ρ) Here, E is elastic modulus ρ is the density of medium  
Loudness of Sound  10 ( I/I_0 ) dB  
Intensity at a distance r from a point Source  I=P/(4πr^2 )  
Interference of Sound Wave  P_1=P_m1 Sin(ωtkx_1+θ_1 ) P_2=P_m2 Sin(ωtkx_2+θ_2)The Result is the sum of all the pressure. P_0=√(p_(m_1)^2+p_(m_2)^2+2p_(m_1 ) P_m2 cosϕ)  
For constructive Interference  ϕ=2πn then,=>P_o=P_(m_1 )+P_(m_2 )  
For destructive interference  ϕ=(2n+1)π and=>P_o=P_(m_1 )P_(m_2 )   
Close Organ Pipe  f=v/4l,3v/4l,5v/4l,….((2n+1)v)/4l  
Open organ pipe  f=v/2l,2v/2l,…nV/2l  
Beats  Beats Frequency=f1–f2  
Doppler’s Law  The Observed Frequency, f^’=f((vv_0)/(vv_s ))Apparent Wavelength, λ^’=λ((vv_s)/v)  
Wave Optics FormulaThe formula for wave optics are as stated below  
Description  Formulas  
The path difference of two coherent Waves  ∆d=d2–d1 ∆d is the path difference  
The Path difference of two coherent waves: Interference Maximum  ∆d=k.λ ∆d is path difference λ is the wavelength  
The path difference of two coherent waves: Interference Minimum  ∆d=((2.k+1).λ)/2 ∆d is path difference λ is the wave length  
Thinfilm interference: Constructive (maximum)  2ntcos r =(n+1/2)λ t is film thickness n is refractive index r is refraction angle λ is wave length  
ThinFilm interference: destructive (minimum)  2ntcosr =nλ t is film thickness n is refractive index r is refraction angle λ is wave length  
Radii of Newton’s Ring  r=√(k.R.λ) or r=√(((2.k+1).R.λ) )/2 r is the radius R is the radius of curvature λ is the wavelength  
Light Diffraction  l=d^2/(4.λ) I is the distance from obstacle d is the obstacle size λ is wavelength  
Diffraction grating: maximum (bright stripes)  dsinθ =kλ d is the lattice constant is the diffraction angle λ is the wavelength  
Diffraction grating (dark stripes)  dsinθ =(K+1/2)λ d is the lattice constant is the diffraction angle λ is the wavelength  
Work Power and Energy FormulaThe formula for work power energy are as stated below  
Description  Formulas  
Work done is given by  W=F×d F is the force d is the displacement  
Kinetic Energy  K.E=1/2 mv^2 m is the mass of the body. v is the velocity of the body  
Potential Energy  P.E=mgh m is the mass of the body in kg h is the height of the body in meters g is the acceleration due to gravity  
Power  P=W/t W is the work done by the body t is the time P=(F ⃗.(ds) ⃗)/dt=F ⃗.V ⃗  
Conservative Forces  F=du/dr  
WorkEnergy theorem  W_net=∆K Where Wnet is the sum of all forces acting on the object K is the change of kinetic energy  
Kinetic Theory FormulaThe formula for kinetic theory are as stated below  
Description  Formula  
Boltzmann’s Constant  k_B= nR/N kB = Boltzmann’s constant R = gas constant n = number of moles N = number of particles in one mole  
Total translational Kinetic Energy of Gas  K.E = 3/2 (nRT) R = gas constant n = number of moles T = absolute temperature  
Maxwell distribution law  V_rms>V>V_p V_rms Vp = most probable speed V = average speed  
RMS Speed  V_rms= √(3kt/m) = √(3Rt/M) R = universal gas constant T = absolute temperature M = molar mass  
Average Speed  v ⃗=√(8kt/πm) = √(8Rt/πM)  
Most probable speed  v_p=√(2kt/m) = √(2Rt/M)  
Pressure of ideal gas  p = 1/3 ρ〖v^2〗_rms  
Equipartition of energy  For each degree of freedom K=1/2 k_B TFor f degree of freedom K=f/2 k_B TkB = Boltzmann’s constant T = temperature of gas  
Internal Energy  For n moles of an ideal gas, internal energy is given as U=f/2 (nRT)  
Kinetic Theory of Gases FormulaThe formula for kinetic theory of gases are as stated below  
Description  Formulas  
Boltzmann’s Constant  k_B=nR/N
 
Total Translational K.E of Gas  K.E=(3/2)nRT
 
Maxwell Distribution Law  V_rms>V>Vp
 
RMS Speed (Vrms)  V_rms=√(8kt/m)=√(3RT/M)
 
Average Speed  v ⃗=√(8kt/πm)=√(8RT/πM)  
Most Probable Speed (Vp )  V_p=√(2kt/m)=√(2RT/M)  
The Pressure of Ideal Gas  P=1/3 V_rms^2
 
Equipartition of Energy  K=1/2 K_B T for each degree of freedom K=(f/2) K_B T
 
Internal Energy  U=(f/2)nRT

JEE Physics Important Formulas Part 7
In this article, we will go through physics quick formula revision for JEE. Find the important formulas of Wave and Wave Optics, Work Power and Energy, Kinetic Theory and Kinetic Theory of Gases.