Unit and Measurement | Chapter 1| Lecture 5 | Class 11 Physics | Free Education скачать в хорошем качестве

Unit and Measurement | Chapter 1| Lecture 5 | Class 11 Physics | Free Education

Unit and Measurement | Chapter 1| Class 11 Physics | CBSE Board NCERT | Free Education Dear Students, in this video we are going to study a very important topic History of the unit of length of chapter 1 Unit and Measurement from Class 11 Physics. Hope you find it helpful & interesting. Enjoy Learning! This Video is applicable for all students who are study in CBSE, ICSE and doing preparation for IIT. #freeeducation #study #free #unitandmeasurement #physics #class11 #class11preparation #cbsencert #cbse #homogeneity #PrincipleofHomogeneity 👉 Do watch the complete session to know about the Unit and Measurement, Don't forget to share this video with your friends and classmates. ✴️✔️ Do 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 to the channel for more updates and hit that like button! ❤️ for daily updates (Turn on your notification 🔔 to get all updates before anyone!!) Here's the breakdown Principle of Homogeneity The Principle of Homogeneity is a fundamental concept in physics that dictates how physical quantities can be equated or manipulated based on their dimensions. It consists of two primary rules that govern the relationships between different physical quantities. Rule One: Equating Quantities Rule One states that two physical quantities can only be equated if they have the same dimension. For instance, one cannot equate 2 meters, which represents length, to 2 kilograms, which represents mass, because they are fundamentally different dimensions. This rule emphasizes that quantities like length (represented as 'l') and mass (represented as 'm') cannot be equalized due to their differing dimensions. Examples provided include comparing 10 seconds (time) to 10 meters (length), illustrating that they cannot be equated as they represent different physical concepts. Rule Two: Adding and Subtracting Quantities Rule Two states that physical quantities can only be added or subtracted if they share the same dimension. For example, one can add 2 meters and 3 meters to obtain 5 meters, as both quantities represent length. Conversely, adding 2 meters and 3 kilograms is not permissible since they represent different dimensions. The outcome of adding or subtracting quantities will also reflect their common dimension, ensuring consistency in the results. Technical Application of the Rules In technical terms, dimensional analysis is crucial for ensuring that equations maintain homogeneity, allowing for valid manipulations of physical quantities. For instance, when multiplying or dividing quantities, the dimensions can differ, and the resulting dimension may vary from the original dimensions. Examples include calculating speed as distance divided by time, where the dimensions of distance and time are distinct, yet the result yields a new dimension (speed). This distinction reinforces the importance of understanding the underlying dimensions of each physical quantity in equations. Examples and Applications Numerous examples illustrate the application of the Principle of Homogeneity, such as finding the dimensions of unknown quantities using equations derived from known quantities. For instance, if length is represented as 'L' and time as 'T', one can derive the dimension of an unknown variable 'B' by equating it to known dimensions. In exercises, students are prompted to determine the dimensions of various physical quantities based on the principles discussed, enhancing their understanding of dimensional analysis. The importance of recognizing dimensionless quantities, such as angles, is also emphasized, as they do not contribute to dimensional equations. Conclusion The Principle of Homogeneity is essential for ensuring that physical equations remain valid and meaningful. Understanding the rules governing the equating and manipulation of physical quantities allows for accurate calculations and interpretations in physics. By applying these principles, students can develop a strong foundation in dimensional analysis, which is vital for advanced studies in physics and engineering. 🔔 SUBSCRIBE and GET it FREE:    / @free-educations