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Consider the open rotation of a diatomic molecule consisting of two atoms of mass and respectively divided by a distance presume that the molecule is rigid with center of mass fixed.
a) Starting from the kinetic energy εk, where
Obtain the kinetic energy of this system in spherical coordinates and show that
Where I is the moment of inertia. Express I in terms of m1, m2 and a.
b) Derive the canonical conjugate momenta P θ and P? Express the Hamiltonian of this system in terms of P θ, P?, ?, ?, and I.
Calculate Zcl. Calculate the heat capacity for a system of N molecules.
d) Presume now that the rotational motion of the molecule is described by quantum mechanics. Mark the partition function in this case taking into relation of the degeneracy of each state. Compute the heat capacity of a system of N molecules in the limit of low and high temperatures and compare them to the classical result.
Write an m-file "sampling.m", which will take as an input: a signal and a sampling step and will display the sampled signal and the magnitude of its Fourier transform. sampling
how to design a single phase distribution circuit from a supply point to a load(lights)
1. A self excited shunt generator supplies a load of 12.5 kw at 125 volts. The field resistance is 25 ohms and the armature resistance is 0.2 ohms. The total voltage drop because o
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