JEE Main PYQ | Dimensional Analysis Trick 🔥 | Physics MCQ Solved by Niraj Sir | The Science Vision

Welcome to The Science Vision — your ultimate destination for JEE Main & Advanced Physics preparation!
In this video, Niraj Sir explains one of the most important and scoring topics in JEE Physics — Principle of Homogeneity in Dimensional Analysis — with PYQ-based MCQs and smart solving tricks.

📚 Topic Covered:
👉 Principle of Homogeneity of Dimensions
👉 Dimensional Formula and Dimensional Equation
👉 Dimensional Method for Deriving Formulas
👉 Checking the Correctness of an Equation
👉 Application in JEE PYQs (Previous Year Questions)
👉 How to Find Dimension of Physical Quantities Quickly
👉 Shortcut Methods & Tricks for Competitive Exams

This session is based on real JEE Main PYQs where questions are framed from Dimensional Analysis and the Principle of Homogeneity. Niraj Sir will explain step-by-step how to verify equations, derive formulas, and predict relations between physical quantities using dimensional analysis.

💡 Why Watch This Video?

✔️ Learn to find dimensional formula of any physical quantity in seconds.
✔️ Understand the logic behind dimensional consistency — a concept that helps eliminate wrong options instantly in JEE.
✔️ Boost your accuracy for JEE Main, NEET, and Class 11 Board Exams.
✔️ Get tricks and logic that make Physics numerical solving faster and error-free.
✔️ Based on NCERT + PYQs + Conceptual Tricks.

📘 What You’ll Learn in This Session

Meaning of the Principle of Homogeneity

Dimensional Equations and their Applications

Homogeneity Check in Physical Equations

Dimensional Formula of Physical Quantities (Force, Energy, Pressure, etc.)

Quick Way to Verify Equations using Dimensions

Common JEE PYQ Examples (like E = ½mv², T = 2π√(l/g), etc.)

Dimensional Method of Deriving Formulas

Finding Unknown Constants Using Dimensional Analysis

Limitation of Dimensional Method

How to Identify Wrong Equations using Homogeneity

🔍 Related Concepts Covered

Fundamental Quantities (M, L, T, I, Θ)

Dimensional Formula of Derived Quantities

Units and Measurement Review

Base and Derived Units

Dimensional Consistency in Mechanics, Thermodynamics, and Electromagnetism

Principle of Similarity and Dimensional Coherence

Solved JEE Main PYQs from 2019 to 2024

📈 How This Helps in JEE Main & Advanced

Dimensional Analysis is a frequently asked topic in JEE Main & NEET, often appearing in the first 2–3 questions of the Physics paper.
It helps you:

Eliminate options using dimensional consistency.

Cross-check derived formulas instantly.

Understand relationships between physical quantities.

If you master this topic, you can easily score +4 marks in less than 30 seconds on one question — a true JEE time-saver!

🧠 Sample PYQs Discussed in the Video

1️⃣ Check which of the following equations is dimensionally correct.
2️⃣ If energy (E), velocity (v), and density (ρ) are taken as fundamental quantities, find the dimension of force.
3️⃣ Derive the expression for time period (T) of a pendulum using dimensions.
4️⃣ Verify the correctness of the equation
5️⃣ Find the dimensional formula of Gravitational Constant (G).

⚙️ Formula Recap by Niraj Sir

📌 [M¹L²T⁻²] → Energy or Work
📌 [M¹L¹T⁻²] → Force
📌 [M⁰L¹T⁻¹] → Velocity
📌 [M⁰L⁰T¹] → Time
📌 [M⁰L⁻³T⁰] → Density
📌 [M⁻¹L³T⁻²] → Gravitational Constant

🎓 About the Faculty

👨‍🏫 Niraj Sir — Founder & Senior Physics Educator at The Science Vision, Madhupur (Jharkhand)
✔️ Expert in JEE Main & NEET Physics
✔️ Known for concept-based teaching and visualization
✔️ Years of experience in coaching toppers and rank holders
✔️ Delivers lessons blending NCERT logic with advanced JEE tricks

📍 About The Science Vision

The Science Vision is a leading institute in Madhupur for Physics, Chemistry, and Maths (PCM) for JEE, NEET, and Board Preparation.
We focus on:

Concept clarity

Problem-solving ability

PYQ practice

Fast-track revision sessions

Test series and performance analysis

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🔹 Live Classes :
🔹 Doubt Solving
🔹 Practice Tests & MCQs
🔹 Recorded Lectures
🔹 Daily Quizzes and PDFs

🔔 Call to Action

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📅 Upcoming Video: “How to Use Dimensional Analysis to Derive Gravitational Formula” — stay tuned!

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