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Class 11 Physics Formulas: Chapter-Wise Formula Sheet for CBSE, JEE and NEET

By rohit.pandey1

|

Updated on 18 Jun 2026, 16:26 IST

Class 11 Physics formulas cover measurement, motion, force, energy, rotation, gravitation, matter, heat, gases, oscillations and waves. This formula sheet lists the main equations with their symbols, SI units and conditions of use. Physics formulas are easier to remember when you understand what they mean.

For example, (v=u+at) does not work for every type of motion. It applies when acceleration remains constant. In the same way, the simple pendulum formula works only for small oscillations.

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Class 11 Physics Formula Chapter-Wise Overview

ChapterMain formula areas
Units and MeasurementsErrors, dimensions and measurement
Motion in a Straight LineVelocity, acceleration and equations of motion
Motion in a PlaneVectors, projectile motion and circular motion
Laws of MotionForce, momentum, impulse and friction
Work, Energy and PowerWork, kinetic energy, potential energy and power
Rotational MotionCentre of mass, torque, angular momentum and rolling
GravitationGravitational force, potential and satellite motion
Mechanical Properties of SolidsStress, strain and elastic moduli
Mechanical Properties of FluidsPressure, flow, viscosity and surface tension
Thermal Properties of MatterExpansion, calorimetry and heat transfer
ThermodynamicsHeat, work, internal energy and gas processes
Kinetic TheoryGas pressure, molecular speed and heat capacity
OscillationsSHM, springs and pendulums
WavesWave speed, strings, pipes and beats

Download Class 11 Physics Formulas: Chapter-Wise Formula Sheet

Physics in Class 11 builds the foundation for every numerical you'll face in JEE and NEET, so a clean, accurate formula sheet matters more here than in almost any other subject. Below, each chapter opens with a short explanation of what it covers and why it matters for exams, followed by a clean table of formulas using proper mathematical notation (√, ², ³, π, Δ, →, θ, ω, etc.) instead of plain-text approximations.

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Chapter-Wise Class 11 Physics Formula

Chapter 1: Units and Measurements

This chapter teaches you how to report a measured quantity honestly — including how much uncertainty it carries — and how to check whether an equation even makes physical sense before you trust it. Errors and dimensional analysis questions are a guaranteed part of every CBSE and JEE Main paper, so this chapter punches well above its weight in terms of marks.

ConceptFormula
Mean valueā = (a₁ + a₂ + a₃ + … + aₙ) / n
Absolute errorΔaᵢ = |aᵢ − ā|
Mean absolute errorΔā = (Δa₁ + Δa₂ + … + Δaₙ) / n
Measured resulta = ā ± Δā
Relative errorΔā / ā
Percentage error(Δā / ā) × 100%
Error in addition/subtraction (Z = A ± B)ΔZ = ΔA + ΔB
Error in multiplication/division (Z = AᵖBᑫ/Cʳ)ΔZ/Z = |p|(ΔA/A) + |q|(ΔB/B) + |r|(ΔC/C)
Dimensional formula[Q] = [MᵃLᵇTᶜ]
Velocity[LT⁻¹]
Acceleration[LT⁻²]
Momentum[MLT⁻¹]
Force[MLT⁻²]
Work/Energy[ML²T⁻²]
Power[ML²T⁻³]
Pressure[ML⁻¹T⁻²]
Density[ML⁻³]
Gravitational constant G[M⁻¹L³T⁻²]

Dimensional analysis can confirm whether both sides of an equation match dimensionally, but it can never reveal pure numbers like 2, π, or ½ — keep that limitation in mind when you use it to "verify" a formula during revision.

Class 11 Physics Formulas: Chapter-Wise Formula Sheet for CBSE, JEE and NEET

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Chapter 2: Motion in a Straight Line

One-dimensional kinematics is where most students either build strong fundamentals or pick up bad habits that haunt them in Motion in a Plane and Projectile Motion later. The equations of motion below only work under one condition: constant acceleration — a detail examiners love to test indirectly.

ConceptFormula
Average speedtotal distance / total time
Average velocityv_avg = Δx/Δt = (x₂ − x₁)/(t₂ − t₁)
Instantaneous velocityv = dx/dt
Average accelerationa_avg = Δv/Δt
Instantaneous accelerationa = dv/dt = d²x/dt²
First equation of motionv = u + at
Second equation of motions = ut + ½at²
Third equation of motionv² = u² + 2as
Displacement (average velocity form)s = ½(u + v)t
Slope of position–time graphv = Δx/Δt
Slope of velocity–time grapha = Δv/Δt
Area under velocity–time graphdisplacement

These four equations of motion are valid only when acceleration is constant throughout the motion — if a question mentions changing acceleration, switch to calculus-based definitions (v = dx/dt, a = dv/dt) instead.

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Chapter 3: Motion in a Plane

This chapter extends one-dimensional ideas into two dimensions through vectors, projectile motion, and uniform circular motion — three of the highest-weightage topics in JEE and NEET mechanics. Most numerical errors here come from sign mistakes in vector components or forgetting that range and height formulas assume equal launch and landing elevation.

ConceptFormula
Magnitude of 2D vector|A| = √(Aₓ² + Aᵧ²)
Magnitude of 3D vector|A| = √(Aₓ² + Aᵧ² + A_z²)
Horizontal componentAₓ = A cos θ
Vertical componentAᵧ = A sin θ
Resultant of two vectorsR = √(A² + B² + 2AB cos θ)
Direction of resultanttan α = (B sin θ)/(A + B cos θ)
Scalar (dot) productA·B = AB cos θ
Vector (cross) product|A × B| = AB sin θ
Relative velocityv_AB = v_A − v_B
Horizontal component of initial velocityuₓ = u cos θ
Vertical component of initial velocityuᵧ = u sin θ
Horizontal positionx = (u cos θ)t
Vertical positiony = (u sin θ)t − ½gt²
Time of flightT = 2u sin θ / g
Maximum heightH = u²sin²θ / 2g
Horizontal rangeR = u²sin(2θ) / g
Maximum range (θ = 45°)R_max = u²/g
Path equation of projectiley = x tan θ − gx² / (2u²cos²θ)
Linear–angular speed relationv = rω
Centripetal accelerationa_c = v²/r = rω²
Centripetal forceF_c = mv²/r = mrω²

Projectile motion formulas assume air resistance is negligible, gravity is constant, and the object lands at the same height it was launched from — change any of these conditions and you must derive the result from first principles instead of plugging into R = u²sin(2θ)/g directly.

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Chapter 4: Laws of Motion

Newton's three laws connect force, momentum, and motion, and this chapter is also where friction and circular motion on roads first appear — both frequent flyers in JEE Main and NEET. Pay close attention to when momentum conservation applies: only when the net external force on the system is zero.

ConceptFormula
Linear momentump = mv (SI unit: kg·m/s)
Newton's second lawF_net = dp/dt → F_net = ma (constant mass)
ImpulseJ = ∫F dt = Δp = F_avg·Δt
Conservation of momentum (1D, two bodies)m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Static frictionf_s ≤ μ_s N (max: f_s,max = μ_s N)
Kinetic frictionf_k = μ_k N
Angle of frictiontan λ = μ
Max safe speed on flat circular roadv_max = √(μ_s rg)
Ideally banked road (no friction)tan θ = v²/rg → v = √(rg tan θ)

Momentum conservation only holds for an isolated system with zero net external force — always check this condition before applying m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ to a collision problem.

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Chapter 5: Work, Energy and Power

This chapter ties force to energy transfer and introduces the work-energy theorem, one of the most efficient problem-solving shortcuts in all of mechanics. Collisions and the coefficient of restitution also live here, making this chapter essential for both conceptual MCQs and multi-step numericals in NEET and JEE.

ConceptFormula
Work by constant forceW = F·s = Fs cos θ
Work by variable force (1D)W = ∫F(x) dx
Kinetic energyK = ½mv² = p²/2m
Work-energy theoremW_net = ΔK = K_f − K_i
Gravitational PE (near Earth)U = mgh
Hooke's lawF = −k_s x
Spring potential energyU_s = ½k_s x²
Conservation of mechanical energyK₁ + U₁ = K₂ + U₂
Average powerP_avg = W/t
Instantaneous powerP = dW/dt = F·v = Fv cos θ
Efficiency(useful output / input) × 100%
Coefficient of restitutione = (v₂ − v₁)/(u₁ − u₂)

The area under a force–displacement graph always equals the work done — a quick visual shortcut that saves time when a question gives you a graph instead of a clean F(x) expression. Perfectly elastic collisions have e = 1; perfectly inelastic collisions have e = 0.

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Chapter 6: System of Particles and Rotational Motion

Rotational mechanics mirrors linear mechanics almost formula-for-formula — torque parallels force, angular momentum parallels linear momentum, and moment of inertia parallels mass. Once you see this symmetry, this chapter (a major JEE Advanced favorite) becomes far less intimidating.

ConceptFormula
Centre of mass (two particles)R_cm = (m₁r₁ + m₂r₂)/(m₁ + m₂)
Centre of mass (n particles)R_cm = Σ(mᵢrᵢ)/Σmᵢ
Velocity of centre of massV_cm = Σ(mᵢvᵢ)/Σmᵢ
Momentum of systemP = MV_cm
Angular displacements = rθ
Angular velocityω = dθ/dt
Angular accelerationα = dω/dt
Rotational equations of motionω = ω₀ + αt; θ − θ₀ = ω₀t + ½αt²; ω² = ω₀² + 2α(θ − θ₀)
Tangential accelerationa_t = rα
Torqueτ = r × F = rF sin φ
Newton's 2nd law (rotation)τ_net = Iα
Angular momentumL = r × p = Iω
Conservation of angular momentumI₁ω₁ = I₂ω₂
Moment of inertiaI = Σmᵢrᵢ²
Radius of gyrationI = Mk² → k = √(I/M)
Rotational kinetic energyK_rot = ½Iω²
Ring (central axis)I = MR²
Disc (central axis)I = ½MR²
Solid sphere (diameter)I = ⅖MR²
Hollow sphere (diameter)I = ⅔MR²
Rod (about centre)I = (1/12)ML²
Rod (about end)I = ⅓ML²
Rolling without slippingv_cm = Rω; K = ½Mv_cm² + ½I_cmω²

Angular displacement θ must always be measured in radians, not degrees — plugging in degree values into s = rθ or any rotational kinematics equation is one of the most common silent errors in this chapter.

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Chapter 7: Gravitation

Gravitation bridges everyday weight with planetary and satellite motion, making it a favorite chapter for conceptual NEET questions on escape velocity and orbital mechanics. The key skill here is knowing which approximation to use — exact inverse-square relations versus the simplified h ≪ R versions.

ConceptFormula
Universal law of gravitationF = Gm₁m₂/r²
Acceleration due to gravity (surface)g = GM/R²
Gravity at altitude h (exact)g_h = g[R/(R+h)]²
Gravity at altitude h (h ≪ R)g_h ≈ g(1 − 2h/R)
Gravity at depth dg_d = g(1 − d/R)
Gravitational potentialV = −GM/r
Gravitational potential energyU = −GMm/r
Escape speedv_e = √(2GM/R) = √(2gR)
Orbital speed (circular orbit)v_o = √(GM/r)
Orbital speed (near Earth's surface)v_o = √(gR)
Time period of satelliteT = 2π√(r³/GM)
Kepler's third lawT² ∝ r³
Kinetic energy of satelliteK = GMm/2r
Potential energy of satelliteU = −GMm/r
Total energy of satelliteE = −GMm/2r

A satellite's total energy is always negative, E = −GMm/2r, which is exactly why it stays gravitationally bound in orbit instead of escaping — a conceptual point NEET often tests without requiring a single calculation.

Chapter 8: Mechanical Properties of Solids

Elasticity questions test whether you can connect stress, strain, and the three elastic moduli to real material behavior — a topic that shows up reliably in CBSE board papers and occasionally in JEE Main as assertion-reason questions. Reading a stress-strain graph correctly is just as important as memorizing the formulas.

ConceptFormula
Normal stressF⊥/A
Longitudinal strainΔL/L
Young's modulusY = stress/strain = FL/(AΔL)
Volume strainΔV/V
Bulk modulusB = −ΔP/(ΔV/V)
Shearing stresstangential force/area
Shearing straintan θ ≈ θ
Shear modulusG_s = shear stress/shear strain
Poisson's ratioν = −lateral strain/longitudinal strain
Elastic energy density½ × stress × strain
Energy stored in stretched wireU = ½FΔL = ½ × stress × strain × volume

The negative sign in B = −ΔP/(ΔV/V) simply reflects that volume shrinks when pressure increases; bulk modulus itself is always reported as a positive quantity.

Chapter 9: Mechanical Properties of Fluids

Fluid mechanics covers pressure, buoyancy, flow, viscosity, and surface tension — a chapter where Bernoulli's equation and Stokes' law together account for a large share of JEE and NEET fluid-based numericals. Always verify whether a question's flow is steady, non-viscous, and incompressible before applying Bernoulli's equation.

ConceptFormula
PressureP = F⊥/A
Pressure at depth hP = P₀ + ρgh
Pascal's law (hydraulic machine)F₁/A₁ = F₂/A₂
Buoyant forceF_B = ρ_fluid · V_displaced · g
Apparent weightactual weight − buoyant force
Equation of continuityA₁v₁ = A₂v₂
Volume flow rateQ_v = Av
Bernoulli's equationP + ½ρv² + ρgh = constant
Torricelli's theoremv = √(2gh)
Viscous forceF = ηA(dv/dx)
Stokes' lawF_d = 6πηrv
Terminal speedv_t = 2r²(ρ_s − ρ_f)g / 9η
Surface tensionS = F/l
Surface energy (one surface)W = SΔA
Surface energy (soap film, 2 surfaces)W = 2SΔA
Excess pressure in liquid dropΔP = 2S/r
Excess pressure in soap bubbleΔP = 4S/r
Capillary riseh = 2S cos θ / ρgr

Notice the soap bubble has double the excess pressure of a liquid drop (4S/r vs 2S/r) because a bubble has two liquid surfaces, not one — a distinction examiners frequently test by swapping the two formulas in MCQs.

Chapter 10: Thermal Properties of Matter

This chapter covers how matter expands, stores heat, and radiates energy — calorimetry numericals and Stefan-Boltzmann questions are staples of both CBSE boards and NEET. The single most common error here is forgetting to convert Celsius to kelvin before using a formula that requires absolute temperature.

ConceptFormula
Celsius to kelvinT_K = T_C + 273.15
Linear expansionΔL = αL₀ΔT
Area expansionΔA = βA₀ΔT (β ≈ 2α)
Volume expansionΔV = γ_vV₀ΔT (γ_v ≈ 3α)
Heat capacityC = Q/ΔT
Specific heat capacityc = Q/(mΔT) → Q = mcΔT
Molar heat capacityC_m = Q/(nΔT)
Latent heatQ = mL
Calorimetry principleheat lost = heat gained
Rate of heat conductionQ/t = κA(T₁ − T₂)/L
Stefan-Boltzmann lawP = eσAT_K⁴
Net radiated powerP_net = eσA(T_K⁴ − T_s⁴)
Wien's displacement lawλ_max·T_K = b

Always use kelvin (not Celsius) in gas laws, kinetic theory, radiation formulas, and any equation involving T_K⁴ — using Celsius here is one of the most frequent silent calculation errors students make under exam pressure.

Chapter 11: Thermodynamics

Thermodynamics formalizes the relationship between heat, work, and internal energy through the first law, and process-specific formulas (isothermal, adiabatic, isobaric, isochoric) are a JEE Main and NEET staple. Before applying any formula, lock down the sign convention the question uses for Q, W, and ΔU.

ConceptFormula
First law of thermodynamicsQ = ΔU + W
Work done by gas (general)W = ∫P dV
Isobaric workW = P(V₂ − V₁) = nR(T₂ − T₁)
Isochoric processW = 0, Q = ΔU
Isothermal processΔU = 0, Q = W
Isothermal workW = nRT_K ln(V₂/V₁)
Adiabatic processQ = 0, ΔU = −W
Adiabatic gas relationPVᵞ = constant
Adiabatic temperature-volume relationT_K·V^(γ−1) = constant
Adiabatic workW = (P₁V₁ − P₂V₂)/(γ − 1) = nR(T₁ − T₂)/(γ − 1)
Cyclic processΔU = 0, Q = W
Mayer's relationC_P − C_V = R
Heat capacity ratioγ = C_P/C_V

The area enclosed under a pressure–volume curve always represents the work done in that process — a graphical shortcut that's invaluable for cyclic process questions where setting up integrals directly would waste time.

Chapter 12: Kinetic Theory

Kinetic theory connects the microscopic motion of gas molecules to the macroscopic quantities of pressure and temperature, explaining why PV = nRT_K works the way it does. Degrees of freedom and the relation γ = (f_d + 2)/f_d are frequently tested for monoatomic, diatomic, and polyatomic gases in JEE.

ConceptFormula
Ideal gas equationPV = nRT_K = Nk_BT_K
Pressure from kinetic theoryP = ⅓ρv_rms²
RMS speed (molar mass M)v_rms = √(3RT_K/M)
RMS speed (molecular mass m)v_rms = √(3k_BT_K/m)
Average KE (per molecule)(3/2)k_BT_K
Average KE (per mole)(3/2)RT_K
Equipartition energy (per molecule)E = ½f_d k_BT_K
Internal energy (n moles)U = ½f_d nRT_K
Molar heat capacity (constant volume)C_V = ½f_d R
Molar heat capacity (constant pressure)C_P = C_V + R = ½(f_d + 2)R
Heat capacity ratioγ = C_P/C_V = (f_d + 2)/f_d
Mean free pathλ_mfp = 1/(√2·πd²·n_v)

A monoatomic gas has f_d = 3, giving γ = 5/3, while a diatomic gas typically has f_d = 5, giving γ = 7/5 — memorizing these two reference values lets you sanity-check almost any kinetic theory numerical instantly.

Chapter 13: Oscillations

Simple harmonic motion is the gateway to wave physics, and SHM-based numericals consistently appear across CBSE, JEE, and NEET because they blend kinematics, dynamics, and energy concepts in one tidy package. Pay attention to the phase angle φ — it's the detail most students skip and the one examiners exploit.

ConceptFormula
Frequency–time periodf = 1/T
Angular frequencyω = 2πf = 2π/T
Displacement in SHMx = A cos(ωt + φ)
Velocity in SHMv = −Aω sin(ωt + φ) = ±ω√(A² − x²)
Maximum speedv_max = Aω
Acceleration in SHMa = −ω²x
Maximum accelerationa_max = Aω²
Restoring forceF = −mω²x = −k_sx
Angular frequency of springω = √(k_s/m)
Time period (spring-mass)T = 2π√(m/k_s)
Time period (simple pendulum)T = 2π√(L/g)
Kinetic energy in SHMK = ½mω²(A² − x²)
Potential energy in SHMU = ½mω²x²
Total energy in SHME = ½mω²A²

The total mechanical energy in SHM, E = ½mω²A², stays constant only in the absence of damping — the moment friction or air resistance enters the picture, this conservation law no longer applies and amplitude decays over time.

Class 11 Physics Chapter 14: Waves

Wave motion ties together oscillations, sound, and resonance in strings and pipes — and standing wave patterns in organ pipes are one of the most reliably tested numerical setups in NEET Physics. The key distinction to nail down is open versus closed organ pipes, since closed pipes support only odd harmonics.

ConceptFormula
Basic wave relationv = fλ
Wave numberk = 2π/λ
Progressive wave (+x direction)y = A sin(kx − ωt + φ)
Progressive wave (−x direction)y = A sin(kx + ωt + φ)
Wave speed (angular form)v = ω/k
Speed of wave on stringv = √(F_T/μ_L)
Linear mass densityμ_L = m/L
String fixed at both endsfₙ = nv/2L
Fundamental frequency (string)f₁ = v/2L
Open organ pipefₙ = nv/2L (all harmonics)
Closed organ pipefₙ = (2n−1)v/4L (odd harmonics only)
Fundamental frequency (closed pipe)f₁ = v/4L
Distance between nodes/antinodesλ/2
Distance: node to nearest antinodeλ/4
Beat frequencyf_beat = |f₁ − f₂|
Speed of sound in gasv = √(γP/ρ)

Class 11 Physics formulas cover measurement, motion, force, energy, rotation, gravitation, fluids, heat, gases, oscillations and waves. Do not try to memorise the complete list in one sitting. Study one chapter at a time. Understand each symbol, note the formula conditions and solve questions after revision. This approach will help you use formulas correctly in CBSE school examinations, JEE and NEET.

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FAQs: Class 11 Physics Formulas

What are the most important Class 11 Physics formulas?

Important formulas include the equations of motion, Newton’s second law, the work-energy theorem, torque, gravitational force, Bernoulli’s equation, the ideal gas equation, SHM equations and the wave-speed relation.

Should I memorise all Class 11 Physics formulas?

You should remember the main formulas, but you must also understand their symbols and conditions. A memorised formula is not useful when you do not know where it applies.

How can I remember Physics formulas for longer?

Write each formula from memory and solve two or three related questions. Review the formula again after one day, one week and one month.

Are these formulas useful for CBSE exams?

These formulas cover the main numerical relationships taught in Class 11 Physics. You should also study NCERT explanations, diagrams, graphs and exercises.

Are these formulas useful for JEE?

The Class 11 topics of mechanics, gravitation, fluids, thermodynamics, oscillations and waves form an important part of JEE Physics.

Are these formulas useful for NEET?

A large part of NEET Physics is based on Class 11 concepts. Formula revision should be combined with NCERT-based MCQs and previous questions.

What is the relation between frequency and time period?

Frequency and time period are reciprocals.

f = 1/T

A larger frequency means a smaller time period.

What is the basic wave formula?

The basic wave formula is:

v = fλ

Here, v is wave speed, f is frequency and λ is wavelength.

What is the SI unit of momentum?

The SI unit of momentum is:

kg·m/s

Momentum is calculated using:

p→ = mv→

What is the SI unit of torque?

The SI unit of torque is:

N·m

Torque has the same dimensions as work, but it is not normally written in joules.

Why do I get the wrong answer after using the correct formula?

Common reasons include:

incorrect unit conversion;
wrong sign;
incorrect angle;
calculation mistakes;
confusing similar symbols; or
using the formula outside its valid conditions.