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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.
Explain n - Type semiconductor. n - Type semiconductor:- (i) If small amount of pentavalent impurity is added with, to a pure semiconductor giving a large number of free
Q. Illustrate the principle of alignment? Pieces of highly permeablematerial, such as iron, situated in ambientmediumof lowpermeability, such as air, in which a magnetic field
This assignment is intended to provide an easier analysis of how windows work. Begin by looking at individual spectrum bins as affected by off-bin-centred frequency components with
Q. The energy stored in a 2-µH inductor is given by wL(t) = 9e-2t µJ for t ≥ 0. Find the inductor current and voltage at t = 1 s.
Slow-rise, fast-decay
Q. What do you mean by Superposition and linearity? Mathematically a function is said to be linear if it satisfies two properties: homogeneity (proportionality or scaling) and
Q. Draw and explain the circuit of Wein bridge oscillator. Obtain the expressions for the (i) frequency of oscillation and (ii) condition for oscillation. Will oscillat
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Q. In the Wheatstone bridge circuit shown in Figure, R 1 = 16, R 2 = 8, and R 3 = 40; R 4 is the unknown resistance. RM is the galvanometer resistance of 6 . If no current
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