JEE Main 2023 Test Series, Chapter Wise Questions and Solutions, Quick Formulas and Best Books

JEE Main Test Series for Physics

JEE Main Physics section is considered to be generally easier than the maths section and tougher than the chemistry section. Candidates can access JEE Main Test Series for Physics with the links given below: 

Check JEE Main 2023 Physics Syllabus

The following are some important topics that generally carry a high weightage in JEE Main Physics section:

JEE Main 2023 Physics New Exam Pattern

Also See: JEE Main Physics Pattern

Important JEE Main 2023 Physics Formulas

Here are some important formulas to quickly refer to for JEE Main 2023 Physics sections

• 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 given material.

JEE Main 2023 Physics Best Books for Preparation

Check: JEE Main Physics Preparation

JEE Main Test Series for Mathematics

The Mathematics section in JEE Main is often considered to be the toughest due to its lengthy nature and complex calculations. However, students can overcome this section through targeted preparation and being thorough with their JEE Main 2023 test series attempts. Candidates can access JEE Main Test Series for Maths with the links given below: 

Check JEE Main 2023 Maths Syllabus

The following are some important topics that generally carry a high weightage in JEE Main maths section

JEE Main 2023 Maths New Exam Pattern

Also See: JEE Main Maths Pattern

Important JEE Main 2023 Mathematics Formulas

Here are some important formulas to quickly refer to for JEE Main 2023 Mathematics sections

• 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)
• ∫xn dx = \frac{x^{n+1}}{n+1}+cn+1xn+1+c , n ≠ -1
• \int \frac{1}{x}\: dx = \log_{e}\left | x \right |+c∫x1dx=loge∣x∣+c
• ∫ex dx = ex+c
• ∫ax dx = \frac{a^{x}}{\log_{e}a}+clogeaax+c
• ∫ sin x dx = -cos x + c
• ∫ cos x dx = sin x + c
• ∫ sec2 x dx = tan x + c
• ∫ cosec2 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 \left | \sin x \right |+clog∣sinx∣+c
• ∫ tan x dx = -\log \left | \\cos \: x \right |+c−log∣cosx∣+c

JEE Main 2023 Maths Best Books for Preparation

Check JEE Main Maths Preparation

JEE Main Test Series for Chemistry

Chemistry is considered as the most scoring section in JEE Main because it does not have too many time-consuming calculations. Candidates can access JEE Main Test Series for Chemistry with the links given below: 

Check JEE Main 2023 Chemistry Syllabus

The following are some important topics that generally carry a high weightage in JEE Main Chemistry section

JEE Main 2023 Chemistry New Exam Pattern

Also See: JEE Main Chemistry Pattern

Important JEE Main 2023 Chemistry Formulas

Here are some important formulas to quickly refer to for JEE Main 2023 Chemistry sections

• 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 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

JEE Main 2023 Chemistry Best Books for Preparation

Check: JEE Main Chemistry Preparation