JEE Main Important Formulas 2024 - Subject Wise PDF Download

JEE Main important formulas are crucial to be remembered to score good marks in the exam. Keeping a list of the important formulas in Physics, Chemistry and Mathematics will help the students save time while practising questions.

The JEE Main exam session 1 is held in January of every year, whereas the session 2 is mostly conducted in April annually. The exam will run for a duration of 3 hours. Students can find the important formulas in Physics, Chemistry, and Mathematics compiled in PDF files in this article.

JEE Main Important Formulas 2024

The students taking the JEE Main exam must have the formulas at their fingertips. This is the only way to complete the exam paper in time. This section lists down all the important formulas in all the three subjects - Physics, Chemistry, and Mathematics - in a PDF format. Students save time while looking for the formulas in every chapter.

The PDFs compile the important formulas of every chapter so that they can be found in one go, without having to look for them in each chapter separately.

The PDFs containing the formulas can be found below.

Also Check: Time Table for JEE Main 2024 Preparation

Top Subject-wise Formulas for JEE Main 2024

With the JEE Main exam 2024 round the corner, the students must gear up their preparation. The last moment revisions are crucial. It is important to brush up the strength areas and also touch upon the weaker areas.

The important formulas for the JEE Main exam in Physics, Chemistry and Mathematics are shared below:

Physics

1. Coulomb’s Law:
Electrostatic Force (F) = k[q1q2/r2]

2. Electric Current:
The current at a point of Time ‘t’: i=limΔt→0 ΔQ/Δt= dQ/dT

• Where ΔQ and ΔT are charges that cross an area in a given time ΔT
• SI unit of Charge is Coulomb (C) and that of Current is Ampere (A) and
1A = 1 C/s

3. Kirchhoff’s Law:

Law of Conservation of Charge: I3 = I1 + I2

4. The energy of a magnetic dipole is given by:
U = – μ .B C.

5. The energy of an electric dipole is given by:
U = – p.E.

6. Electric Charge:
Q = ± ne (e = 1.60218 × 10-29 C)

7. In Vector Form:
→F=k(q1q2)×→r/r3
• Where, q1 and q2 = Charges on the Particle,
• r = Separation between the charges
• →r = Position Vector
• k = Constant = 14πε0=8.98755×109Nm2C2

8. Average current density:
▪ →j=Δi/Δs
▪ j=limΔs→0 Δi/Δs=di/dS ,
▪ j=Δi/ΔScosθ
• Where, ΔS = Small Area,
• Δi = Current through the Area ΔS,
• P = Perpendicular to the flow of charges,
• θ = Angle between the normal to the Area and the direction of the
current

9. Lorentz Force:
→F=q[→E+(→v×→B)]
• Where, E = Electric Field
• B = Magnetic Field
• q = Charge of Particle
• v = Velocity of Particle
• Resistivity: ρ(T) = ρ(T0)[1+α(T−T0)]
▪ R (T) = R (T0) [1+α (T−T0)]
• ρ (T) and ρ (T0) = Resistivity at Temperature T and T0 respectively,
• α = Constant for a given material
• Gravitational Acceleration Equation of Motion:

10. Motion in Upward Direction:
▪ V = u - gt
▪ Y = ut − 1/2gt2
▪ −2gy = v2−u2

11. Motion in Downward Direction:
▪ V = u + gt
▪ Y = ut + 1/2gt2
▪ 2gy = v2 − u2

12. 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)

13. Projectile Equation of Motion:
o Horizontal Range (R) = u2sin2θ/g
o Time of Flight (T) = 2uSinθ/g
o Maximum Height (H) = u2sin2θ/2
o Where,
▪ u = initial velocity
▪ v = final velocity
▪ a = constant acceleration
▪ t = time
▪ x = position of particle

14. Straight line Equation of Motion (Constant Acceleration):
▪ V = u + at
▪ S = ut + 1/2at2
▪ 2as = v2 − u2

15. 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]

16. Kinetic Friction:
o fk = μk · N
o Maximum Static Friction (Limiting Friction): fmax = μs · N
▪ Where, N = Normal Force
▪ μk = Coefficient of Kinetic Friction
▪ μs = Coefficient of Static Friction

17. Work Done by Constant Force:

▪ Work Done (W) = →F⋅→S=∣→F∣ ∣→S∣ cos θ
▪ Where, S = Displacement along a straight line
▪ F = applied force
▪ θ = Angle between S & F
▪ It is a scalar quantity. The dimension of work is [M1 L2 T-2] and SI unit
of Work is joule (J) and 1J=1N⋅m=Kg⋅m2/ s2

18. Torque:

The torque or moment vector or vector moment (M) of a force (F) about a
certain 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

19. Simple Harmonic Motion:

▪ Force (F) = – kx and k = ω2m
▪ Where, k = Force Constant,
▪ m = Mass of the Particle,
▪ x = Displacement and ω2 = Positive Constant.

Also Check: JEE Main Physics Important Formulas 2024

Chemistry

1. Atomic number = No. of protons in the nucleus = No. of electrons in the nucleus

2. Molality (m) = No. of Moles of Solutes/ Mass of solvent in kg

3. Mass number = No. of protons + No. of neutrons ; C= vλ

4. T(K)= T(0C) + 273.15

5. Molarity (M)= No. of Moles of Solutes/ Volume of Solution in Liters

6. Molecular Mass = 2 x vapor density

7. Charles’s Law: V1/ T1 = V2/ T2 (at constant P and n)

8. Boyle’s Law: P1V1 = P2V2 (at constant T and n)

9. Enthalpy: H = U + pV

10. Ohm’s Law: V = RI where, R = ρ ι/a

11. First Law of Thermodynamics: ΔU = q + W

12. Freundlich Adsorption Isotherm: [x/m]-Kp (1/n); n>=1

13. 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

14. Faraday’s Second Law of Electrolysis: M1/ M2 = E1/E2 , where E = equivalent weight

15. General Electronic Configuration: ns1-2

Also Check: JEE Main Chemistry Important Formulas 2024

Mathematics

1. Complex Numbers

• The general form of Complex numbers: x+i, where 'x' is the Real part and 'i' is an Imaginary part.
• The sum of the nth root of unity = zero
• Product of nth root of unity =(–1)n–1
• Cube roots of unity: 1,ω,ω2
• |z1+z2| ≤ |z1| + |z2|,|z1 + z2| ≥ |z1| −|z2|;|z1−z2|≥|z1|−|z2|
• If arg cosα= arg sinα= 0, arg cos2α=arg sin2α=0
• Arg cos2nα= arg sin2nα= 0
• Arg cos2α= argsin2α= 32
• Arg cos3α= 3cos(α+β+γ)
• Arg sin3α= 3sin(α+β+γ)
• Arg cos(2α–β–γ)= 3
• argsin(2α–β–γ)= 0
• a3+b3+c3–3abc= (a+b+c)(a+bω+cω2)(a+bω2+cω)

2. Quadratic Equation

• The standard form of Quadratic equation: ax2+bx+c=0
• General equation: x=−b±(b2−4ac)−−−−−−−−√2a
• Sum of roots =−ba
• Product of roots discriminant =b2–4ac
• If α and β are roots, then the Quadratic equation is x2–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 a1¯,a2¯,….an¯ are said to be linearly dependent; if there exist, x1a1¯+x2a2¯+….+xnan=0 at least one of xi≠0 , where i=1,2,3….n and determinant =0
• a, b, c are coplanar then [abc]=0
• If i, j, k are unit vectors, then [ijk]=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 nCr−1,nCr,nCr+1 are in A.P, then (n–2r)2=n+2

3. Trigonometric Identities

• sin2(x)+cos2(x)=1
• 1+tan2(x)=sec2(x)
• 1+cot2(x)=cosec2(x)

4. Limits

• Limit of a constant function: limc=c
• Limit of a sum or difference: lim(f(x)±g(x))=limf(x)±limg(x)
• Limit of a product: lim(f(x)g(x))=limf(x)×limg(x)
• Limit of a quotient: lim(f(x)g(x))=limf(x)log(x) if limg(x)≠0

5. Derivatives

• Power Rule: ddx(xn)=nx(n−1)
• Sum/Difference Rule: ddx(f(x)±g(x))=f′(x)±g′(x)
• Product Rule: ddx(f(x)g(x))=f′(x)g(x)+f(x)g′(x)
• Quotient Rule: ddx(f(x)g(x))=[g(x)f′(x)−f(x)g′(x)]g2(x)

6. Integration

• ∫xndx=xn+1n+1+c where n≠−1
• ∫1xdx=loge|x|+c
• ∫exdx=ex+c
• ∫axdx=axlogea+c
• ∫sinxdx=−cosx+c
• ∫cosxdx=sinx+c
• ∫sec2xdx=tanx+c
• ∫cosec2xdx=−cotx+c
• ∫secxtanxdx=secx+c
• ∫cosec xcotxdx=–cosecx+c
• ∫cotxdx=log|sinx|+c
• ∫tanxdx=−log∣cosx∣+c
• ∫secxdx=log∣secx+tanx∣+c
• ∫cosec xdx=log∣cosec x–cotx∣+c
• ∫1a2−x2−−−−−−√dx=sin−1(xa)+c
• ∫−1a2−x2−−−−−−√dx=cos−1(xa)+c
• ∫1a2+x2dx=1atan−1(xa)+c
• ∫−1a2+x2dx=1acot−1(xa)+c
• ∫1xx2−a2−−−−−−√dx=1asec−1(xa)+c
• ∫−1xx2−a2−−−−−−√dx=1acosec−1(xa)+c

Also Read: JEE Main Maths Important Formulas 2024