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By rohit.pandey1
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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.
| Chapter | Main formula areas |
| Units and Measurements | Errors, dimensions and measurement |
| Motion in a Straight Line | Velocity, acceleration and equations of motion |
| Motion in a Plane | Vectors, projectile motion and circular motion |
| Laws of Motion | Force, momentum, impulse and friction |
| Work, Energy and Power | Work, kinetic energy, potential energy and power |
| Rotational Motion | Centre of mass, torque, angular momentum and rolling |
| Gravitation | Gravitational force, potential and satellite motion |
| Mechanical Properties of Solids | Stress, strain and elastic moduli |
| Mechanical Properties of Fluids | Pressure, flow, viscosity and surface tension |
| Thermal Properties of Matter | Expansion, calorimetry and heat transfer |
| Thermodynamics | Heat, work, internal energy and gas processes |
| Kinetic Theory | Gas pressure, molecular speed and heat capacity |
| Oscillations | SHM, springs and pendulums |
| Waves | Wave speed, strings, pipes and beats |
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.
Also Check: CBSE Class 11 Physics Syllabus
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.
| Concept | Formula |
| Mean value | ā = (a₁ + a₂ + a₃ + … + aₙ) / n |
| Absolute error | Δaᵢ = |aᵢ − ā| |
| Mean absolute error | Δā = (Δa₁ + Δa₂ + … + Δaₙ) / n |
| Measured result | a = ā ± Δā |
| Relative error | Δā / 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.
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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.
| Concept | Formula |
| Average speed | total distance / total time |
| Average velocity | v_avg = Δx/Δt = (x₂ − x₁)/(t₂ − t₁) |
| Instantaneous velocity | v = dx/dt |
| Average acceleration | a_avg = Δv/Δt |
| Instantaneous acceleration | a = dv/dt = d²x/dt² |
| First equation of motion | v = u + at |
| Second equation of motion | s = ut + ½at² |
| Third equation of motion | v² = u² + 2as |
| Displacement (average velocity form) | s = ½(u + v)t |
| Slope of position–time graph | v = Δx/Δt |
| Slope of velocity–time graph | a = Δv/Δt |
| Area under velocity–time graph | displacement |
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.
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.
| Concept | Formula |
| Magnitude of 2D vector | |A| = √(Aₓ² + Aᵧ²) |
| Magnitude of 3D vector | |A| = √(Aₓ² + Aᵧ² + A_z²) |
| Horizontal component | Aₓ = A cos θ |
| Vertical component | Aᵧ = A sin θ |
| Resultant of two vectors | R = √(A² + B² + 2AB cos θ) |
| Direction of resultant | tan α = (B sin θ)/(A + B cos θ) |
| Scalar (dot) product | A·B = AB cos θ |
| Vector (cross) product | |A × B| = AB sin θ |
| Relative velocity | v_AB = v_A − v_B |
| Horizontal component of initial velocity | uₓ = u cos θ |
| Vertical component of initial velocity | uᵧ = u sin θ |
| Horizontal position | x = (u cos θ)t |
| Vertical position | y = (u sin θ)t − ½gt² |
| Time of flight | T = 2u sin θ / g |
| Maximum height | H = u²sin²θ / 2g |
| Horizontal range | R = u²sin(2θ) / g |
| Maximum range (θ = 45°) | R_max = u²/g |
| Path equation of projectile | y = x tan θ − gx² / (2u²cos²θ) |
| Linear–angular speed relation | v = rω |
| Centripetal acceleration | a_c = v²/r = rω² |
| Centripetal force | F_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.

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.
| Concept | Formula |
| Linear momentum | p = mv (SI unit: kg·m/s) |
| Newton's second law | F_net = dp/dt → F_net = ma (constant mass) |
| Impulse | J = ∫F dt = Δp = F_avg·Δt |
| Conservation of momentum (1D, two bodies) | m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ |
| Static friction | f_s ≤ μ_s N (max: f_s,max = μ_s N) |
| Kinetic friction | f_k = μ_k N |
| Angle of friction | tan λ = μ |
| Max safe speed on flat circular road | v_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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CBSE
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.
| Concept | Formula |
| Work by constant force | W = F·s = Fs cos θ |
| Work by variable force (1D) | W = ∫F(x) dx |
| Kinetic energy | K = ½mv² = p²/2m |
| Work-energy theorem | W_net = ΔK = K_f − K_i |
| Gravitational PE (near Earth) | U = mgh |
| Hooke's law | F = −k_s x |
| Spring potential energy | U_s = ½k_s x² |
| Conservation of mechanical energy | K₁ + U₁ = K₂ + U₂ |
| Average power | P_avg = W/t |
| Instantaneous power | P = dW/dt = F·v = Fv cos θ |
| Efficiency | (useful output / input) × 100% |
| Coefficient of restitution | e = (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.
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.
| Concept | Formula |
| 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 mass | V_cm = Σ(mᵢvᵢ)/Σmᵢ |
| Momentum of system | P = MV_cm |
| Angular displacement | s = rθ |
| Angular velocity | ω = dθ/dt |
| Angular acceleration | α = dω/dt |
| Rotational equations of motion | ω = ω₀ + αt; θ − θ₀ = ω₀t + ½αt²; ω² = ω₀² + 2α(θ − θ₀) |
| Tangential acceleration | a_t = rα |
| Torque | τ = r × F = rF sin φ |
| Newton's 2nd law (rotation) | τ_net = Iα |
| Angular momentum | L = r × p = Iω |
| Conservation of angular momentum | I₁ω₁ = I₂ω₂ |
| Moment of inertia | I = Σmᵢrᵢ² |
| Radius of gyration | I = Mk² → k = √(I/M) |
| Rotational kinetic energy | K_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 slipping | v_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.

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.
| Concept | Formula |
| Universal law of gravitation | F = 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 d | g_d = g(1 − d/R) |
| Gravitational potential | V = −GM/r |
| Gravitational potential energy | U = −GMm/r |
| Escape speed | v_e = √(2GM/R) = √(2gR) |
| Orbital speed (circular orbit) | v_o = √(GM/r) |
| Orbital speed (near Earth's surface) | v_o = √(gR) |
| Time period of satellite | T = 2π√(r³/GM) |
| Kepler's third law | T² ∝ r³ |
| Kinetic energy of satellite | K = GMm/2r |
| Potential energy of satellite | U = −GMm/r |
| Total energy of satellite | E = −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.
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.
| Concept | Formula |
| Normal stress | F⊥/A |
| Longitudinal strain | ΔL/L |
| Young's modulus | Y = stress/strain = FL/(AΔL) |
| Volume strain | ΔV/V |
| Bulk modulus | B = −ΔP/(ΔV/V) |
| Shearing stress | tangential force/area |
| Shearing strain | tan θ ≈ θ |
| Shear modulus | G_s = shear stress/shear strain |
| Poisson's ratio | ν = −lateral strain/longitudinal strain |
| Elastic energy density | ½ × stress × strain |
| Energy stored in stretched wire | U = 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.
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.
| Concept | Formula |
| Pressure | P = F⊥/A |
| Pressure at depth h | P = P₀ + ρgh |
| Pascal's law (hydraulic machine) | F₁/A₁ = F₂/A₂ |
| Buoyant force | F_B = ρ_fluid · V_displaced · g |
| Apparent weight | actual weight − buoyant force |
| Equation of continuity | A₁v₁ = A₂v₂ |
| Volume flow rate | Q_v = Av |
| Bernoulli's equation | P + ½ρv² + ρgh = constant |
| Torricelli's theorem | v = √(2gh) |
| Viscous force | F = ηA(dv/dx) |
| Stokes' law | F_d = 6πηrv |
| Terminal speed | v_t = 2r²(ρ_s − ρ_f)g / 9η |
| Surface tension | S = F/l |
| Surface energy (one surface) | W = SΔA |
| Surface energy (soap film, 2 surfaces) | W = 2SΔA |
| Excess pressure in liquid drop | ΔP = 2S/r |
| Excess pressure in soap bubble | ΔP = 4S/r |
| Capillary rise | h = 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.
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.
| Concept | Formula |
| Celsius to kelvin | T_K = T_C + 273.15 |
| Linear expansion | ΔL = αL₀ΔT |
| Area expansion | ΔA = βA₀ΔT (β ≈ 2α) |
| Volume expansion | ΔV = γ_vV₀ΔT (γ_v ≈ 3α) |
| Heat capacity | C = Q/ΔT |
| Specific heat capacity | c = Q/(mΔT) → Q = mcΔT |
| Molar heat capacity | C_m = Q/(nΔT) |
| Latent heat | Q = mL |
| Calorimetry principle | heat lost = heat gained |
| Rate of heat conduction | Q/t = κA(T₁ − T₂)/L |
| Stefan-Boltzmann law | P = eσAT_K⁴ |
| Net radiated power | P_net = eσA(T_K⁴ − T_s⁴) |
| Wien's displacement law | λ_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.
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.
| Concept | Formula |
| First law of thermodynamics | Q = ΔU + W |
| Work done by gas (general) | W = ∫P dV |
| Isobaric work | W = P(V₂ − V₁) = nR(T₂ − T₁) |
| Isochoric process | W = 0, Q = ΔU |
| Isothermal process | ΔU = 0, Q = W |
| Isothermal work | W = nRT_K ln(V₂/V₁) |
| Adiabatic process | Q = 0, ΔU = −W |
| Adiabatic gas relation | PVᵞ = constant |
| Adiabatic temperature-volume relation | T_K·V^(γ−1) = constant |
| Adiabatic work | W = (P₁V₁ − P₂V₂)/(γ − 1) = nR(T₁ − T₂)/(γ − 1) |
| Cyclic process | ΔU = 0, Q = W |
| Mayer's relation | C_P − C_V = R |
| Heat capacity ratio | γ = 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.
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.
| Concept | Formula |
| Ideal gas equation | PV = nRT_K = Nk_BT_K |
| Pressure from kinetic theory | P = 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 ratio | γ = C_P/C_V = (f_d + 2)/f_d |
| Mean free path | λ_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.
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.
| Concept | Formula |
| Frequency–time period | f = 1/T |
| Angular frequency | ω = 2πf = 2π/T |
| Displacement in SHM | x = A cos(ωt + φ) |
| Velocity in SHM | v = −Aω sin(ωt + φ) = ±ω√(A² − x²) |
| Maximum speed | v_max = Aω |
| Acceleration in SHM | a = −ω²x |
| Maximum acceleration | a_max = Aω² |
| Restoring force | F = −mω²x = −k_sx |
| Angular frequency of spring | ω = √(k_s/m) |
| Time period (spring-mass) | T = 2π√(m/k_s) |
| Time period (simple pendulum) | T = 2π√(L/g) |
| Kinetic energy in SHM | K = ½mω²(A² − x²) |
| Potential energy in SHM | U = ½mω²x² |
| Total energy in SHM | E = 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.
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.
| Concept | Formula |
| Basic wave relation | v = fλ |
| Wave number | k = 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 string | v = √(F_T/μ_L) |
| Linear mass density | μ_L = m/L |
| String fixed at both ends | fₙ = nv/2L |
| Fundamental frequency (string) | f₁ = v/2L |
| Open organ pipe | fₙ = nv/2L (all harmonics) |
| Closed organ pipe | fₙ = (2n−1)v/4L (odd harmonics only) |
| Fundamental frequency (closed pipe) | f₁ = v/4L |
| Distance between nodes/antinodes | λ/2 |
| Distance: node to nearest antinode | λ/4 |
| Beat frequency | f_beat = |f₁ − f₂| |
| Speed of sound in gas | v = √(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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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.
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.
Write each formula from memory and solve two or three related questions. Review the formula again after one day, one week and one month.
These formulas cover the main numerical relationships taught in Class 11 Physics. You should also study NCERT explanations, diagrams, graphs and exercises.
The Class 11 topics of mechanics, gravitation, fluids, thermodynamics, oscillations and waves form an important part of JEE Physics.
A large part of NEET Physics is based on Class 11 concepts. Formula revision should be combined with NCERT-based MCQs and previous questions.
Frequency and time period are reciprocals.
f = 1/T
A larger frequency means a smaller time period.
The basic wave formula is:
v = fλ
Here, v is wave speed, f is frequency and λ is wavelength.
The SI unit of momentum is:
kg·m/s
Momentum is calculated using:
p→ = mv→
The SI unit of torque is:
N·m
Torque has the same dimensions as work, but it is not normally written in joules.
Common reasons include:
incorrect unit conversion;
wrong sign;
incorrect angle;
calculation mistakes;
confusing similar symbols; or
using the formula outside its valid conditions.