Question about this Radial function Rl(r)

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The discussion revolves around the radial function Rl(r) and the difficulty in finding its explicit form online. There is a suggestion that the inquiry may relate to taking derivatives in spherical coordinates. A link to the Wikipedia page on spherical coordinate systems is provided for reference. The conversation prompts for clarification on the exact problem statement from the assignment to better assist with the query. Understanding the context of the question is essential for providing accurate help.
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Homework Statement
Helllo, I have to show that ∆(R1(r)Y11(ϑ,ϕ)) = 0. I already solved the Y11 part but what is R1(r) or generally written Rl(r) written out? I only know the radial function Rn,l(r). Thanks in advance
Relevant Equations
∆(R1(r)Y11(ϑ,ϕ)) = 0
Y11
I can´t find Rl(r) written out on the internet.
 
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Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

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...
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