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Curated by: Khan Academy India - English (17 videos)
In this video, we explore how to use dimensional analysis to check the consistency of a given equation. Dimensional consistency ensures that the left-hand side (LHS) and right-hand side (RHS) of an equation have the same fundamental units, making it a powerful tool for verifying formulas in physics and engineering. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/science/in-in-class11th-physics - **0:00** - Introduction to dimensional analysis and its applications - **0:14** - What is dimensional analysis? - **1:18** - Understanding dimensional formulas with an example (density) - **1:50** - Applications of dimensional analysis - **2:27** - Focus on checking the consistency of dimensional equations - **3:04** - Example: Why you can't add mass and length - **3:51** - Steps to check dimensional consistency - **4:38** - Proving Newton’s Second Law (F = ma) dimensionally - **6:12** - Proving the second equation of motion (s = ut + ½ at²) - **7:45** - Question: What happens if coefficients change? - **8:32** - Finding the dimension of an unknown constant - **10:24** - Summary: Why checking dimensional consistency is important - **11:28** - Detecting errors in equations using dimensional analysis - **11:37** - Conclusion and wrap-up Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Chandan Ganotra