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Important Formulas for JEE Main 2021: Physics, Chemistry and Maths Formulas
Last updated on August 27th, 2021
Multiple sessions of JEE Main 2021 has given the students additional time and opportunity to prepare their best for the examination. If used wisely, this time can turn out to be highly beneficial. Students can revise some of the Important Formulas for JEE Main 2021 to scale up their knowledge and preparation.
 Revision is the most important aspect of preparing for any exam. Students can take our preparation tips for JEE Main 2021.
 Candidates can prepare flashcards, make a lastminute revision plan, revise all the important formulas of JEE Main Physics, Chemistry or Maths.
 Having memorized all the JEE Main Important Formulas will lead to the candidate acing the JEE Main 2021 with a good score.
Students can download this formulas page as a PDF by using the print option.
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How Do JEE Main Important Formulas Help?
It is very important for the students to compile their study material before starting the preparations. While preparing for the exam, make notes for the important formulas for each and every subject separately. These handy notes help in focusing on the concepts. The JEE Main important formulas can help candidates in various ways:
 It helps in saving time in the exam.
 Makes the calculations easier.
 Reduces the risk of mistakes.
Note: NTA has declared a new JEE Main exam pattern that adds a new Numeric valuebased problem to each section.
Check – Subjectwise Formula Handbooks by Resonance
Important Formulas for JEE Main 2021
JEE Main Paper1 is the most sought after paper among the 3. It consists of three sections, namely
 Physics
 Chemistry
 Mathematics
The candidates can refer to the subjectwise JEE Main 2021 important formulas below.
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Important Formulas for JEE Main 2021 Physics
JEE Main Physics section is considered to be a tough section. One should be thorough with the Physics syllabus. When candidates prepare for JEE Main exam, they find Physics as the toughest section because of the long derivations. Let us look at some important formulas listed for JEE Main that will help in the efficient preparation of physics.
 The energy of electric dipole is given by U = – p.E.
 The energy of a magnetic dipole is U = – μ .B C.
 Electric Charge : Q = ± ne (e = 1.60218 × 1029 C)
 SI unit of Electric Charge is Coulomb (C)
 Coulomb’s Law : Electrostatic Force (F) = k[q1q2/r2] and,
 In Vector Form :
 →F=k(q1q2)×→r/r3
 Where, q1 and q2 = Charges on the Particle,
 r = Separation between them,
 →r = Position Vector,
 k = Constant = 14πϵ0=8.98755×109Nm2C2
 →F=k(q1q2)×→r/r3
 Electric Current :
 The current at Time t : i=limΔt→0 ΔQ/Δt= dQ/dT
 Where Δ Q and Δ T = Charges crosses an Area in time Δ T
 SI unit of Current is Ampere (A) and 1A = 1 C/s
 The current at Time t : i=limΔt→0 ΔQ/Δt= dQ/dT
 Average current density:
 →j=Δi/Δs
 j=limΔs→0 Δi/Δs=di/dS ,
 j=Δi/ΔScosθ
 Where, Δ S = Small Area,
 Δ i = Current through the Area Δ S,
 P = Perpendicular to the flow of Charges,
 θ = Angle Between the normal to the Area and the direction of the current.
 Kirchhoff’s Law:
 Law of Conservation of Charge: I3 = I1 + I2
Resistance
 Resistivity : ρ(T)=ρ(T0)[1+α(T−T0)]
 R (T) =R (T0) [1+α (T−T0)]
 Where, ρ (T) and ρ (T0) = Resistivity at Temperature T and T0 respectively,
 α = Constant for given material.
 R (T) =R (T0) [1+α (T−T0)]
 Lorentz Force :
 →F=q[→E+(→v×→B)]
 Where, E = Electric Field,
 B = Magnetic Field,
 q = Charge of Particle,
 v = Velocity of Particle.
 →F=q[→E+(→v×→B)]
 Magnetic Flux:
 Magnetic Flux through Area dS = ϕ=→B⋅d → S= B⋅dS Cos θ
 Where, d→S = Perpendicular vector to the surface and has a magnitude equal to are Ds,
 →B = Magnetic Field at an element,
 θ = Angle Between →B and d→S,
 SI unit of Magnetic Flux is Weber (Wb).
 Magnetic Flux through Area dS = ϕ=→B⋅d → S= B⋅dS Cos θ
 Straight line Equation of Motion (Constant Acceleration):
 v=u+at
 s=ut+1/2at2
 2as=v2−u2
 Gravitational Acceleration Equation of Motion:
 Motion in Upward Direction:
 v= ugt
 y=ut−1/2gt2
 −2gy=v2−u2
 Motion in Downward Direction:
 v=u+gt
 y=ut+1/2gt2
 2gy=v2−u2
 Motion in Upward Direction:
 Projectile Equation of Motion:
 Horizontal Range (R) = u2sin2θ/ g
 Time of Flight (T) = 2uSinθ/ g
 Maximum Height (H) = u2sin2θ/ 2
 Where,
 u = initial velocity,
 v = final velocity,
 a = constant acceleration,
 t = time,
 x = position of particle.
Laws of Gravity
 Universal Law of Gravitation:
 Gravitational force →F=G[Mm/r2]^r
 Where, M and m = Mass of two Objects,
 r = separation between the objects,
 ^r = unit vector joining two objects,
 G = Universal Gravitational Constant
 [G=6.67×10−11N⋅m2/Kg2]
 Work Done by Constant Force:
 Work Done (W) = →F⋅→S=∣→F∣ ∣→S∣ cosθ,
 Where, S = Displacement along a straight line,
 F = applied force,
 θ = Angle between S & F.
 It is a scalar quantity and the Dimension of work is [M1 L2 T2], SI unit of Work is the joule (J) and 1J=1N⋅m=Kg⋅m2/ s2
 Work Done (W) = →F⋅→S=∣→F∣ ∣→S∣ cosθ,
 Kinetic Friction:
 fk = µk · N
 Maximum Static Friction (Limiting Friction): fmax = µs · N,
 Where, N = Normal Force,
 µk = Coefficient of Kinetic Friction,
 µs = Coefficient of Static Friction.
 Simple Harmonic Motion:
 Force (F) = – k x and k = ω2 m
 Where, k = Force Constant,
 m = Mass of the Particle,
 x = Displacement and ω2 = Positive Constant.
 Force (F) = – k x and k = ω2 m
 Torque: The torque or vector moment or moment vector (M) of a force (F) about a point (P) is defined as:
 M = r×F
 Where, r is the vector from the point P to any point A on the line of action L of F.
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Important Formulas for JEE Main 2021 Chemistry
Chemistry is considered an easy section comparatively. With the right preparation, maximum scores can be secured from this section. Let us take a look at JEE Main Chemistry Important Formulas List
 T(K)= T(⁰C) + 273.15
 Molarity (M)= No. of Moles of Solutes/ Volume of Solution in Liters
 Unit: mole/ L
 Molality (m)=
 No. of Moles of Solutes/ Mass of solvent in kg
 Molecular Mass= 2x vapor density
 Atomic number=
 No. of protons in the nucleus = No. of electrons in the nucleus
 Mass number=
 No. of protons + No. of neutrons C= vλ
 Boyle’s Law:
 P1V1 = P2V2 (at constant T and n)
 Charles’s Law:
 V1/ T1 = V2/ T2 (at constant P and n)
 Enthalpy:
 H = U + pV
 First Law of Thermodynamics:
 ΔU = q + W
 Ohm’s Law:
 V = RI where, R = ρ ι/a
Faraday’s Laws
 Faraday’s First Law of Electrolysis:
 M = Zit
 M = mass of substance deposited
 Z= Electrochemical Equivalent
 I = current,
 t= time
 Z= Atomic Mass/ n x F
 M = Zit
 Faraday’s Second Law of Electrolysis:
 M1/ M2 = E1/E2 ,
 Where E = equivalent weight
 M1/ M2 = E1/E2 ,
 Freundlich Adsorption Isotherm:
 [x/m]Kp (1/n); n>=1
 General Electronic Configuration:
 ns12
Check NIT Trichy: B.Tech (Chemical Engineering) Cut Off
Important Formulas for JEE Main 2021 Mathematics
If you concentrate well in your board examinations, your Mathematics syllabus will be done very easily. Formulas play a very important role in the preparation of mathematics section. Let us look at some important formulas list for JEE Main Maths given below
The general form of Complex numbers x + i where ‘x’ is Real part and ‘i’ is an Imaginary part.
 Sum of nth root of unity is zero
 Product of nth root of unity (–1)n–1
 Cube roots of unity are 1, ω, ω2
 z1+z2<=z1+z2; z1+z2>=z1z2; z1z2>=z1z2
 If three complex numbers z1, z2, z3 are collinear then,
 [z1 z1 1
 z2 z2 1
 z3 z3 1] = 0
 If ΣCosα = ΣSinα = 0, ΣCos2α = ΣSin2α = 0,
 ΣCos2nα = ΣSin2nα = 0,
 ΣCos2α = ΣSin2α = 3/2
 ΣCos3α = 3Cos(α + β + γ),
 ΣSin3α = 3Sin(α + β + γ)
 ΣCos(2α – β – γ) = 3,
 ΣSin(2α – β – γ) = 0,
 a^3 + b^3 + c^3 – 3abc = (a + b + c) (a + bω + cω^2) (a + bω^2 + cω)
Standard form of Quadratic equation

 ax^2 + bx + c = 0
 Sum of roots = b/a,
 Product of roots discriminate = b^2 – 4ac
 If α, β are roots then Quadratic equation is x^2 – x(α + β) + αβ = 0
 Number of terms in the expansion: (x+a)n is n+1
 Any three non coplanar vectors are linearly independent
 A system of vectors ā1, ā2,….ān are said to be linearly dependent,
 If there, x1ā1+x2ā2+….+xnan=0
 At least one of xi ≠0, i=1, 2, 3….n
 And determinant = 0
 a,b,c are coplanar then [abc]=0
 If i,j,k are unit vectors then [i j k] = 1
 If a,b,c are vectors then [a+b, b+c, c+a] = 2[abc]
 (1 + x)n – 1 is divisible by x and (1 + x)n – nx –1 is divisible by x2
 If nCr1, nCr, nCr+1 are in A.P, then (n–2r)2 = n + 2
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Integration Important Formulas for JEE Main
 ∫xn dx = $n+x +c$ , n ≠ 1
 $∫x1 dx=_{e}∣x∣+c$
 ∫e^{x} dx = e^{x}+c
 ∫a^{x} dx = $logaa +c$
 ∫ sin x dx = cos x + c
 ∫ cos x dx = sin x + c
 ∫ sec^{2} x dx = tan x + c
 ∫ cosec^{2} x dx = cot x + c
 ∫ sec x tan x dx = sec x + c
 ∫ cosec x cot x dx = – cosec x + c
 ∫ cot x dx = $log∣sinx∣+c$
 ∫ tan x dx = $−log∣cosx∣+c$
 ∫ sec x dx = log $∣secx+tanx∣+c$
 ∫ cosec x dx = log $∣cosecx–cotx∣+c$
 $∫a−x 1 dx=_{−1}(ax )+c$
 $∫−a−x 1 dx=_{−1}(ax )+c$
 $∫a+x1 dx=a1 _{−1}(ax )+c$
 $∫−a+x1 dx=a1 _{−1}(ax )+c$
 $∫xx−a 1 dx=a1 _{−1}(ax )+c$
 $∫−xx−a 1 dx=a1 cosec_{−1}(ax )+c$
What else to refer for JEE Main Important Formulas?
In order to find more indepth important formulas for JEE Main, students can always refer to handbooks. Handbooks/Formula books are short formula books for all the major topics of each section. Coaching institutes like Allen, Aakash and Resonance provide their handbooks for all the important formulas for JEE Main. These handbooks also have JEE Main tips and tricks for some type of questions which regularly appear in JEE Main.
Free JEE Main Important Formula Handbook PDFs by Resonance
Resonance provides some free to use study material to registered users of their website. Students can download PDFs of various sample papers and study material for JEE Main. Given below are some free formula handbook PDFs for download by Resonance.
Physics Formula Handbook  Download PDF 
Chemistry Formula Handbook  Download PDF 
Maths Formula Handbook  Download PDF 
Every year a large number of candidates fill JEE Main Application Form. This leads to cutthroat competition. To crack JEE Main 2021 with high score candidates are advised to keep a handy note of these important formulas. Here we have provided JEE Main important formulas which can be helpful for the preparation of all 3 subjects of the exam – Physics, Chemistry, and Mathematics.
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