JEE 2024 Important Formulas
JEE 2024 Important Formulas: The effective preparation strategy for the JEE 2024 exam requires candidates to follow an organized study and revision plan, including learning and memorizing the JEE 2024 essential formulas. The JEE 2024 exam will comprise Physics, Chemistry, and Mathematics sections, so appropriate application of these formulas helps students solve problems and achieve good marks. In this article, you will find the critical formulas from physics, chemistry, and mathematics considered relevant and necessary for answering questions in the JEE 2024 exam quickly and accurately.
JEE 2024 Important Formulas
The JEE Main exam students must keep the important formulas ready to apply while answering questions. It helps in a big way to find quick answers to problems and finish the exam paper correctly within the specified time. We have listed the key formulas for mathematics, chemistry, and physics subjects in the below section. These formulas are widely used in different problem-solving questions as per the trend observed in previous years’ questions and by getting feedback from past examinees.
JEE 2024 Important Formulas For Physics
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Coulomb’s Law: Electrostatic Force (F) = k[q1q2/r2]
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Kirchhoff’s Law: Law of Conservation of Charge: I3 = I1 + I2
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The energy of a magnetic dipole: U = – μ . B C.
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The energy of an electric dipole: U = – p.E.
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Electric Charge: Q = ± ne (e = 1.60218 × 10-29 C)
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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)],
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Average Current Density:
j=limΔs→0 Δi/Δs=di/dS ,
j=Δi/ΔScosθ
Where, ΔS = Small Area,
Δi = Current through the Area ΔS,
θ = Angle between the normal to the Area and the direction of the
Current -
Motion in Upward Direction:
V = u - gt
Y = ut − 1/2gt2
v2−u2= −2gy -
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 -
Straight line Equation of Motion (Constant Acceleration):
V = u + at
S = ut + 1/2at2
2as = v2 − u2 -
Law of Gravitation:
Gravitational force →F = G[Mm/r2]^r
Where M and m are the masses 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)
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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 -
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
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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
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Simple Harmonic Motion:
Force (F) = – kx and k = ω2m
Where k = Force Constant, m = Mass of the Particle, x = Displacement, ω2 = Positive Constant.
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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
JEE 2024 Important Formulas For Chemistry
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Atomic number = No. of protons in the nucleus = No. of electrons in the nucleus
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Molarity (m) = No. of Moles of Solutes/ Mass of solvent in kg
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Mass number = No. of protons + No. of neutrons ; C= vλ
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Molarity (M)= No. of Moles of Solutes/ Volume of Solution in Liters
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Molecular Mass = 2 x vapor density
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Charles’s Law: V1/ T1 = V2/ T2 (at constant P and n)
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Boyle’s Law: P1V1 = P2V2 (at constant T and n)
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Enthalpy: H = U + pV
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Ohm’s Law: V = RI where, R = ρ ι/a
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First Law of Thermodynamics: ΔU = q + W
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Freundlich Adsorption Isotherm: [x/m]-Kp (1/n); n>=1
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Faraday’s First Law of Electrolysis:
M = Zit
where 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
JEE 2024 Important Formulas from Mathematics
Complex Numbers
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The general form of Complex numbers x+i, where 'x' is the Real part and 'i' is an Imaginary part.
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The sum of the nth root of unity = zero
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Product of nth root of unity =(–1)n–1
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Cube roots of unity: 1,ω,ω2
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|z1+z2| ≤ |z1| + |z2|,|z1 + z2| ≥ |z1| −|z2|;|z1−z2|≥|z1|−|z2|
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If arg cosα= arg sinα= 0, arg cos2α=arg sin2α=0
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Arg cos2nα= arg sin2nα= 0
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Arg cos2α= argsin2α= 32
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Arg cos3α= 3cos(α+β+γ)
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Arg sin3α= 3sin(α+β+γ)
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Arg cos(2α–β–γ)= 3
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argsin(2α–β–γ)= 0
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a3+b3+c3–3abc= (a+b+c)(a+bω+cω2)(a+bω2+cω)
Quadratic Equation
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The standard form of Quadratic equation: ax2+bx+c=0
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Sum of roots =−ba
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Product of roots discriminant =b2–4ac
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If α and β are roots, then the Quadratic equation is x2–x(α+β)+αβ=0
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Number of terms in the expansion: (x+a)n is n+1
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Any three non-coplanar vectors are linearly independent.
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a, b, c are coplanar then [abc]=0
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If i, j, k are unit vectors, then [ijk]=1
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If a, b, c are vectors then [a+b,b+c,c+a]=2[abc]
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(1+x)n–1 is divisible by x and (1+x)n–nx–1 is divisible by x2
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If nCr−1,nCr,nCr+1 are in A.P, then (n–2r)2=n+2
Trigonometric Identities
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sin2(x)+cos2(x)=1
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1+tan2(x)=sec2(x)
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1+cot2(x)=cosec2(x)
Limits
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Limit of a constant function: limc=c
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Limit of a sum or difference: lim(f(x)±g(x))=limf(x)±limg(x)
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Limit of a product: lim(f(x)g(x))=limf(x)×limg(x)
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Limit of a quotient: lim(f(x)g(x))=limf(x)log(x) if limg(x)≠0
Derivatives
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Power Rule: ddx(xn)=nx(n−1)
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Sum/Difference Rule: ddx(f(x)±g(x))=f′(x)±g′(x)
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Product Rule: ddx(f(x)g(x))=f′(x)g(x)+f(x)g′(x)
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Quotient Rule: ddx(f(x)g(x))=[g(x)f′(x)−f(x)g′(x)]g2(x)
Integration
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∫xndx=xn+1n+1+c where n≠−1
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∫1xdx=loge|x|+c
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∫exdx=ex+c
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∫axdx=axlogea+c
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∫sinxdx=−cosx+c
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∫cosxdx=sinx+c
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∫sec2xdx=tanx+c
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∫cosec2xdx=−cotx+c
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∫secxtanxdx=secx+c
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∫cosec xcotxdx=–cosecx+c
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∫cotxdx=log|sinx|+c
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∫tanxdx=−log∣cosx∣+c
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∫secxdx=log∣secx+tanx∣+c
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∫cosec xdx=log∣cosec x–cotx∣+c
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∫1a2−x2−−−−−−√dx=sin−1(xa)+c
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∫−1a2−x2−−−−−−√dx=cos−1(xa)+c
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∫1a2+x2dx=1atan−1(xa)+c
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∫−1a2+x2dx=1acot−1(xa)+c
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∫1xx2−a2−−−−−−√dx=1asec−1(xa)+c
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∫−1xx2−a2−−−−−−√dx=1acosec−1(xa)+c
This was the complete JEE I2024 Important Formulas for Physics, Chemistry, and Mathematics, Take your career to new heights with IIT JEE PW Gulf Online Classes. Enroll in PW Gulf JEE Classes and make your dream of securing a renowned engineering college a reality.
JEE 2024 Important Formulas FAQs
Q1. What is the allotment of marks in the physics, chemistry, and mathematics sections in the JEE 2024 exam?
Ans. The physics, chemistry, and mathematics section have 100 marks ech in the JEE 2024 exam.
Q2. Does the JEE Mains 2024 syllabus follow the NCERT classes 11 and 12 syllabus?
Ans. The JEE Main syllabus mainly covers topics from the NCERT syllabus for classes 11 and 12. However, candidates are advised to follow the National Testing Agency (NTA) official JEE syllabus on its website and organize the study materials accordingly.
Q3. How can solving previous years’ question papers of the JEE exam help in memorizing the formulas?
Ans. During solving old JEE question papers, candidates use the essential formulas repeatedly which helps them remember the formulas more quickly.
Q4. How should students apply formulas to solve numerical problems in the physics section of JEE 2024?
Ans. To solve numerical questions in the physics section of the JEE exam, the students need to comprehend the problem statement, select the relevant formula, and apply it to solve the problem and get the correct answer.
Q5. What kind of study schedule is best for JEE 2024 preparations?
Ans. To make the JEE 2024 preparations successful, the perfect study plan should include a balanced time frame for study, practice, and revision sessions with brief breaks to improve focus and concentration.
