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Question about the Microscopic Model of Current
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A uniform conductor is defined as one where the conductance remains constant throughout its length, typically represented as a cylindrical shape. In contrast, a non-uniform conductor has varying conductance at different points, which complicates calculations and analyses of current flow. The discussion highlights the importance of uniformity in simplifying the understanding of electrical properties. The lack of clear definitions in textbooks regarding these terms leads to confusion among learners. Understanding these concepts is crucial for grasping the fundamentals of electrical conduction.
My attempt:
Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE.
PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##.
PE of part in the tube = ##\frac{m}{l}(l - h)gh##.
Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##.
Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...