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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.
Q. A 150-kVA, 2400/240-V, 60-Hz, single-phase transformer has the following parameters: R 1 = 0.2 , R 2 = 0.002 , X 1 = 0.45 , X 2 = 0.0045 , RC = 10 k, and Xm = 1.55 k,
Q. For the networks shown in Figure, determine the transfer function G(s) = V o (s)/V i (s).
The resistivity of pure copper is 1.56 micro-ohm -cm. An alloy of copper contains 1 atomic percent nickel has a resistivity of 2.81 micro-ohm-cm. An alloy of copper containing 3-
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Determine Potential Difference: Compute the current through each element of the given network and also determine potential difference across 15 Ω resistor. Figure
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multiplexer,
Q. Illustrates typical thermal noise waveform? In general, any physical resistor or lossy device can be modeled by a noise source in series with a noiseless resistor, as shown
Background of Energy Conservation As a thumb rule, the energy needs of a country are about 1.5 times its GDP or the economic growth rate. India's projected growth rate up to
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