Chapter 1
Units & Measurements
Percentage error(Δa / a) × 100 %
For z = xaybΔz/z = a·Δx/x + b·Δy/y
Dimensions of force[M L T−2]
Class 11 · Formulas
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NEET & JEE SPECIAL
Class 11 Physics Formulas
Continuous scrolling sheet of all essential Class 11 formulas required for NEET, JEE Main/Advanced, and board exams.
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Chapter 2
Motion in a Straight Line
First equationv = u + at
Second equations = ut + ½at2
Third equationv2 = u2 + 2as
Distance in nth secondu + a(2n − 1)/2
Chapter 3
Motion in a Plane
RangeR = u2 sin 2θ / g
Max heightH = u2 sin2θ / 2g
Time of flightT = 2u sin θ / g
Centripetal accelerationa = v2/r = ω2r
Chapter 4
Laws of Motion
Second lawF = dp/dt = ma
ImpulseJ = FΔt = Δp
Limiting frictionf = μN
Banking (no friction)tan θ = v2/rg
Chapter 5
Work, Energy & Power
WorkW = F d cos θ
Kinetic energyK = ½mv2
Spring potential energyU = ½kx2
PowerP = W/t = F·v
Restitutione = (v2 − v1)/(u1 − u2)
Chapter 6
Rotational Motion
Centre of massxcm = Σmixi / Σmi
Torqueτ = r × F = Iα
Angular momentumL = Iω
Rotational KEK = ½Iω2
Parallel axis theoremI = Icm + Md2
Chapter 7
Gravitation
Gravitational forceF = Gm1m2/r2
g at height hgh ≈ g(1 − 2h/R)
Escape velocityve = √(2gR)
Orbital velocityvo = √(GM/r)
Potential energyU = −GMm/r
Chapter 8
Properties of Solids
Stressσ = F/A
Strainε = ΔL/L
Young's modulusY = (F/A)/(ΔL/L)
Energy densityu = ½ × stress × strain
Chapter 9
Properties of Fluids
Pressure at depthP = P0 + ρgh
ContinuityA1v1 = A2v2
BernoulliP + ½ρv2 + ρgh = const
Stokes' lawF = 6πηrv
Capillary riseh = 2S cos θ / rρg
Chapter 10
Thermal Properties
HeatQ = mcΔT
Latent heatQ = mL
ConductionQ/t = kA(T1 − T2)/L
Stefan's lawP = σAeT4
Wien's lawλmT = b
Chapter 11
Thermodynamics
First lawΔQ = ΔU + ΔW
Isothermal workW = nRT ln(V2/V1)
AdiabaticPVγ = constant
Carnot efficiencyη = 1 − T2/T1
Mayer's relationCp − Cv = R
Chapter 12
Kinetic Theory
Pressure of gasP = ⅓ρvrms2
Average KEK = (3/2)kBT
RMS speedvrms = √(3RT/M)
Internal energyU = (f/2) nRT
Chapter 13
Oscillations
Displacementx = A sin(ωt + φ)
Spring–massT = 2π√(m/k)
Simple pendulumT = 2π√(L/g)
Total energyE = ½kA2
Velocityv = ω√(A2 − x2)
Chapter 14
Waves
Wave speedv = fλ
Stringv = √(T/μ)
Sound in gasv = √(γP/ρ)
Beatsfb = |f1 − f2|
Closed pipef = (2n − 1)v/4L
Open pipef = nv/2L
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Most-confused formulas
The 6 Class 11 formulas students get wrong most often
Distance in the nth second
sn = u + a(2n − 1)/2
It is a distance in one second, not after n seconds — so its unit is still metre.
Banking with friction
vmax = √[rg(tanθ + μ)/(1 − μtanθ)]
Without friction it collapses to v = √(rg tanθ). Check which case the question wants.
Parallel axis theorem
I = Icm + Md2
Only valid from the centre of mass axis. Using any other axis as the base is the classic error.
Capillary rise
h = 2S cosθ / (rρg)
r is the radius of the tube, not of the meniscus; θ > 90° makes h negative (depression).
Adiabatic relation
PVγ = constant, TVγ−1 = constant
γ = 5/3 (monoatomic), 7/5 (diatomic). Mixing up the two exponents costs full marks.
Closed vs open pipe
closed: f = (2n−1)v/4L open: f = nv/2L
A closed pipe gives only odd harmonics — that single fact answers most pipe questions.