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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.
Equipment parameter data: The schematic diagrams for existing substations have to be prepared along with information of power transformer rating and numbers, impedance values,
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Q. Three waveforms seen on an oscilloscope are shown in Figure. If the horizontal scale is set to 50 ms per division (500 ms for the entire screen width), and the vertical scale is
The Ward-Leonard system, which is used in the control of large dc motors employed in rolling mills, is a highly flexible arrangement for effecting position and speed control of a s
A symmetrical fluctuating message, with |f(t)| max = 6.3 V and KCR = 3, is to be encoded by using an encoder that employs an 8-bit natural binary code to encode 256 voltage levels
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Question : (a)(1) Show different types of voltmeters commonly used. (2) A basic d'Arsonval meter movement with an internal resistance Rm = 100 ?,and a full scale current of
what is finger voltage?
If the instruments has no drift it is perfectly reproducible. No drift means that with a given input the measured values do not vary with time. Drift may be classified into thre
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