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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. If it is desired to store English-language writing with 1 byte representing each letter, find the minimum number of bits per byte that could be used. Ans. For the 26 le
The mathematical relationships of control systems are usually represented by block diagrams, which show the role of various components of the system and the interaction of variable
Explain signal description of 8085 a) Address bus b) Control and status signal c) Address latch enable d) S1,S0 status signals e) Read ,write signal
Explain graphic adapter and monitor. Video card changes digital output from the computer in an analog video signal and sends the signal by a cable to the monitor also termed a
Q. Analog communication systems? An analog message is a continuum of possible amplitudes at any given time, and analog signals are continuous in time and in amplitude, such as
what is ohm?
Explain the NAND Gates - Microprocessor? The NAND GATE is a AND gate with the output inverted. Consequently the outputs of a NAND gate would be the opposites of the outputs of a A
An angle-modulated signal has the form u(t) = 100 cos [2πf c t+4 sin 2πf m t ],where f c =10MHz and f m = 1 kHz. Determine the modulation index β f or β p and the transmitted s
One battery having of three cells in series. External resistance is 5 Ω E.m.f each cell is 1.5V and internal resistance is 0.2?. Measure the current flow and draw the circuit.
how does a zener diode works
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