In this problem you are asked to solve the schrödinger equation for a particle of mass m constrained to move on a circle of radius r with a polar angle θ 2mr2d62 (i) what is the boundary condition? hint: what happens to if the angle goes a full circle? (ii) apply the boundary condition to find the wave functions ψ(θ) and the corresponding energies e; specify the range of any discrete values in your result. hint: it may be easier to work with complex functions. (iii) apply this model to benzene by assuming 6 mobile electrons moving on a ring with a radius of 1.39 a. calculate the wavelength (in nm) of the lowest-energy electronic transition. in what region of the electromagnetic spectrum is this?

answer: point c: b. 1/2 potential, 1/2 kinetic, point a: 3/4 of its potential energy, point d or b: 3/4 potential, 1/4 kinetic

explanation: i cant explain. it's difficult to explain.

a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be?

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