Projectile Motion Formulas Ground to ground

 

The sum of two numbers is 13/6. An even number of Airthmetic Means are being inserted between them and their sum exceeds their number by 1. Find the number of mean inserted.

✔️ Number of Arithmetic Means Inserted

12

JEE MAINS 2024 (27 JAN) LIMIT QUESTION FIND ab³

1-2x-x^2 = tan^2(x+y) + cot^2(x+y) find x and y Class 11 | Trigonometry Function | IITJEE

 

Int[1+tanxtan(x+theta)]dx Class 12 | Integration | IIT JEE

 

Int [sin(x-a) /sin(x-b)] dx Class 12 | Integration

 

JEE Main Physics Blueprint: Chapter-Wise Marks Distribution & Smart Study Plan

 📌 Physics Section = 25 Questions (100 Marks)

👉 Usually considered moderate and formula-based compared to Maths.

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📊 Unit-Wise Weightage (Approximate Trend)

Unit	Questions	Weightage
Mechanics	7–9	30–35%
Electrodynamics	6–7	25–30%
Modern Physics	3–4	12–15%
Optics	2–3	8–12%
Thermodynamics & KTG	2–3	8–10%
SHM & Waves	1–2	5–8%

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📘 Detailed Chapter-Wise Weightage

🔥 Mechanics (Highest Weightage)

Chapter	Questions
Laws of Motion	1
Work, Power & Energy	1
Centre of Mass & Rotation	1–2
Gravitation	1
Kinematics	1
Units & Dimensions	0–1
Properties of Matter	0–1

👉 Rotation + COM are very important.

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⚡ Electrodynamics

Chapter	Questions
Current Electricity	1–2
Electrostatics	1
Capacitors	0–1
Magnetic Effects of Current	1
EMI & AC	1
Moving Charges & Magnetism	1

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🌟 Modern Physics (Very Scoring)

Chapter	Questions
Photoelectric Effect	1
Atomic Structure	1
Nuclear Physics	1
Semiconductor Electronics	1

👉 Mostly direct formula-based questions.

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🔍 Optics

Chapter	Questions
Ray Optics	1–2
Wave Optics	1

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🌡 Thermodynamics & KTG

Chapter	Questions
Thermodynamics	1–2
Kinetic Theory of Gases	1

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🌊 SHM & Waves

Chapter	Questions
Simple Harmonic Motion	1
Waves	0–1

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🎯 Most Important Scoring Chapters

✔ Current Electricity
✔ Modern Physics (Full)
✔ Ray Optics
✔ Rotation
✔ Thermodynamics

These chapters alone can give 10–12 questions.

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💡 Smart Strategy for 95+ Percentile in Physics

1. Revise all formulas weekly.

2. Practice previous 15 years PYQs.

3. Focus on conceptual clarity in Mechanics.

4. Don’t ignore Modern Physics (easy marks).

5. Attempt Physics first in exam (confidence booster).

JEE Main Mathematics Blueprint: Chapter-Wise Marks Distribution & Smart Preparation Plan

 📌 Maths section = 25 Questions (100 Marks)

(20 MCQs + 5 Numerical value questions)

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📊 Overall Distribution (Unit-Wise)

Unit	Approx. Questions	Weightage
Calculus	8–10	35–40%
Algebra	6–8	30–35%
Coordinate Geometry	5–6	20–25%
Vector & 3D Geometry	2–3	10–12%

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📘 Detailed Chapter-Wise Weightage

🔥 CALCULUS (Highest Weightage)

Chapter	Questions (Approx.)
Limits & Continuity	1–2
Differentiability & AOD	2–3
Indefinite Integration	1–2
Definite Integration	1–2
Differential Equations	1

👉 Calculus alone can give 35–40 marks

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📗 ALGEBRA

Chapter	Questions
Matrices	1–2
Determinants	1
Complex Numbers	1
Quadratic Equations	1
Sequence & Series	1
Binomial Theorem	1
Probability	1
Permutation & Combination	0–1
Statistics	0–1

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📙 COORDINATE GEOMETRY

Chapter	Questions
Straight Lines	1–2
Circle	1
Parabola	1
Ellipse	0–1
Hyperbola	0–1

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📕 VECTOR & 3D

Chapter	Questions
Vector Algebra	1
3D Geometry	1–2

👉 Usually formula-based and scoring.

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🎯 Most Important Scoring Chapters

✔ Definite Integration
✔ Matrices & Determinants
✔ Probability
✔ Vector & 3D
✔ Application of Derivatives

These chapters alone can contribute 12–15 questions.

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💡 Smart Preparation Tip

If aiming for 95+ percentile in Maths:

1. Finish Calculus completely.

2. Do last 15 years PYQs.

3. Practice Numerical value questions carefully.

4. Improve speed — Maths is time-consuming.

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant k. A mass m hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

 

The force F is equal to the m2g/2. If the area of cross section of the string is A and its Young modulus Y, find strain developed in it

 

One end of a long metallic wire of length L area of cross-section A and Young's modulus Y is tied to the ceiling. The other end A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4 m and diameter 1 mm. When in equilibrium, there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle theta with the vertical and is released. Find the maximum value of theta so that the sphere does not rub the floor. Young modulus of the metal of the wire is 2•0 x 10" N m^-2. Make appropriate approximations.

 

A mild steel of wire of length 2L and cross sectional area A is stretched, well within elastic limit, horizontally between two pillar. A mass m is suspended from the midpoint of the wire. strain of the wire is -

 

If Poisson's ratio σ for a material is −1/2 , then the material is

 1. Elastic fatigue

2. Incompressible--Correct

3. Compressible

4. None of the above

The density of a metal at normal pressure is ρ . Its density when it is subjected to an excess pressure P is ρ '. If B is the bulk modulus of the metal, then the ratio ρ '/ ρ is

 

A particle is projected from level ground, Assuming projection point as origin, x-axis along horizontal y-axis along vertically upwards. if particle moves in xy plane and its path given by y=3x-2x^2 where a and b are positive constants.

 

Jee Adv | Physics | In the figure shows a container to have a movable piston on the top. the container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. the container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container filled with 2 mole.

 

A fixed thermally conducting cylinder has a radius R and height L0 . The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface as shown in Fig. The atmospheric pressure is P0 .

 

Class 12 | Integration | IITJEE | 0 yo 2 pi xln(3+cosx3-cosx)dx

 

Solved By SAYAN DEY Class 12 Raghunathpur G.D.Lang Institution 

Limit IIT JEE math Lim x tends to infinity (x+5/x+1)^x

 

Class 12 | IITJEE | A particle with charge e and mass m, moving along the X-axis with a uniform speed u enters a region where a uniform electric field E is acting along the Y-axis. The particle starts to move in a parabola. Its focal length (neglecting any effect of gravity)