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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.
1. For the flyback converter operating in the discontinuous "current" (flux) mode, derive an expression for the time at which the magnetizing current returns to zero. 2. A forwa
Q. Consider the circuit shown in Figure. (a) Given v(t) = 10e -t V, find the current source is(t) needed. (b) Given i(t) = 10e -t A, find the voltage source v (t) needed.
Practical application of rc coupled amplifer
Which clipper would you prefer between the series and the shunt clipper? Why?
Explain time multiplexed space switching? With a neat diagram illustrate its operation. Ans: Time division switches where an outlet or an inlet corresponded to a single s
how do ratos connect to engineering
Q. A current of 65 A is measured with an analog ammeter having a probable error of ±0.5% of full scale of 100 A. Find the maximum probable percentage error in the measurement.
Define Gain and Phase Responses? Expressing H(e j? ) in polar form as: H (e j? ) = G (?) e jφ(?) G(?) is the "gain" of the discrete-time system and φ(?) is the "phas
What do you mean by variability in oxidation state of transition metals different from that of the non transition metals? Illustrate with examples.
Q. Show Block diagram of proportional and integral controller? The block diagram of Figure illustrates a typical microprocessor system used to implement the digital PI controll
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