Wave Lecture 8 | Class 11 : Boost Your IIT & JEE Preparation with Free Education скачать в хорошем качестве

Wave Lecture 8 | Class 11 : Boost Your IIT & JEE Preparation with Free Education

Wave Lecture 8 | Class 11 : Boost Your IIT & JEE Preparation with Free Education Dear Students, in this video we are going to study a very important topic Wave 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 #motion #simpleharmonicmotion #workenergytheorem #gravity #physics #class11 #class11preparation #cbsencert #cbse #science #rotational_motion 👉 Do watch the complete session to know about the Gravitation, 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!!) Introduction to Advanced Topics The discussion begins with a transition towards more advanced topics related to waves, specifically standing waves and their equations. The speaker emphasizes that while the previous topics may have been complex, the upcoming subject matter will be easier to understand and engaging. Recap of Simple Harmonic Motion (SHM) The speaker recalls key concepts related to SHM, particularly focusing on mean position and extreme positions of oscillating objects. At the mean position, the speed of the object is maximum, resulting in maximum kinetic energy, whereas at the extreme positions, the speed is zero, leading to minimum kinetic energy. Conversely, potential energy is minimum at the mean position and maximum at the extreme positions due to the spring being either elongated or compressed. Integration of Wave Functions The speaker introduces integration of wave functions, particularly focusing on the integration of cos²(ωt) over a time period. The integration process involves applying trigonometric identities to simplify the function before integrating. The integration results in an expression that combines both time and frequency components, showcasing the relationship between kinetic and potential energy in wave motion. Understanding Wave Slopes The discussion shifts to the concept of slope in wave motion, particularly how it varies at different points along a wave. The speaker explains that the slope is zero at the nodes, maximum at the antinodes, and varies in between, affecting the energy distribution in the wave. Comparison of Traveling and Standing Waves A comparison is made between traveling waves and standing waves, emphasizing how energy flows in traveling waves but remains constant in standing waves. In standing waves, energy does not flow past nodes, leading to distinct energy distributions between nodes and antinodes. Energy Distribution in Standing Waves The speaker elaborates on how energy is distributed between two nodes in a standing wave, asserting that it remains constant and can be divided equally between adjacent segments. At extreme positions, all energy is potential, while at the mean position, all energy is kinetic, illustrating the interchange of energy forms. Deriving Total Energy Between Nodes The speaker presents a derivation to calculate the total energy between two adjacent nodes in a standing wave. This involves taking a small element of the wave, calculating its kinetic energy, and integrating over the distance between nodes. The final result reveals that the total energy between two nodes can be expressed in terms of amplitude and frequency, highlighting the relationship between wave properties and energy. Power of Traveling Waves Power is defined as the energy transferred per unit time, and the speaker provides the formula for the power of a traveling wave. The discussion emphasizes how the speed of the wave and its amplitude affect the power, indicating that higher speeds and amplitudes result in greater energy transfer. 🔔 SUBSCRIBE and GET it FREE:    / @free-educations