All Physics Formulas for JEE Main PDF

• 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 × 10-29 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
• 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
• 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 a given material.

• Lorentz Force :
  • →F=q[→E+(→v×→B)]
    • Where, E = Electric Field,
    • B = Magnetic Field,
    • q = Charge of Particle,
    • v = Velocity of Particle.
• 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).
• 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= u-gt
    • y=ut−1/2gt2
    • −2gy=v2−u2
  • Motion in Downward Direction:
    • v=u+gt
    • y=ut+1/2gt2
    • 2gy=v2−u2
• 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 T-2], SI unit of Work is the joule (J) and 1J=1N⋅m=Kg⋅m2/ s2
• 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.
• 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.

Important Formulas for JEE Main 2022 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
• Faraday’s Second Law of Electrolysis:
  • M1/ M2 = E1/E2 ,
    • Where E = equivalent weight
• Freundlich Adsorption Isotherm:
  •  [x/m]-Kp (1/n); n>=1
• General Electronic Configuration:
  • ns1-2

Must Check 

• JEE Main Chemistry Syllabus
• JEE Main Preparation Tips for Chemistry

Important Formulas for JEE Main 2022 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|>=|z1|-|z2|; |z1-z2|>=|z1|-|z2|
• 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 nCr-1, nCr, nCr+1 are in A.P, then (n–2r)2 = n + 2

Integration Important Formulas for JEE Main

1. ∫xn dx = \frac{x^{n+1}}{n+1}+cn+1xn+1+c , n ≠ -1
2. \int \frac{1}{x}\: dx = \log_{e}\left | x \right |+c∫x1dx=loge∣x∣+c
3. ∫e^x dx = e^x+c
4. ∫a^x dx = \frac{a^{x}}{\log_{e}a}+clogeaax+c
5. ∫ sin x dx = -cos x + c
6. ∫ cos x dx = sin x + c
7. ∫ sec² x dx = tan x + c
8. ∫ cosec² x dx = -cot x + c
9. ∫ sec x tan x dx = sec x + c
10. ∫ cosec x cot x dx = – cosec x + c
11. ∫ cot x dx = \log \left | \sin x \right |+clog∣sinx∣+c
12. ∫ tan x dx = -\log \left | \\cos \: x \right |+c−log∣cosx∣+c
13. ∫ sec x dx = log \left | \\sec \: x + tan \: x\right |+c∣secx+tanx∣+c
14. ∫ cosec x dx = log \left | \\cosec \: x – \cot \: x\right |+c∣cosecx–cotx∣+c
15. \int \frac{1}{\sqrt{a^{2}-x^{2}}} \; dx = \sin ^{-1}(\frac{x}{a})+c∫a2−x21dx=sin−1(ax)+c
16. \int -\frac{1}{\sqrt{a^{2}-x^{2}}} \; dx = \cos ^{-1}(\frac{x}{a})+c∫−a2−x21dx=cos−1(ax)+c
17. \int \frac{1}{{a^{2}+x^{2}}} \; dx = \frac{1}{a}\tan ^{-1}(\frac{x}{a})+c∫a2+x21dx=a1tan−1(ax)+c
18. \int -\frac{1}{{a^{2}+x^{2}}} \; dx = \frac{1}{a}\cot ^{-1}(\frac{x}{a})+c∫−a2+x21dx=a1cot−1(ax)+c
19. \int \frac{1}{x\sqrt{x^{2}-a^{2}}}\; dx = \frac{1}{a}\sec ^{-1}(\frac{x}{a})+c∫xx2−a21dx=a1sec−1(ax)+c
20. \int -\frac{1}{x\sqrt{x^{2}-a^{2}}}\; dx = \frac{1}{a}\: cosec ^{-1}\left ( \frac{x}{a} \right )+c∫−xx2−a21dx=a1cosec−1(ax)+c

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