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Free-particle
A. Suppose that the wavefunction for a free-particle is given by the wavefunction
Find the value of A that normalizes Ψ (x).
B. The Hamiltonian operator for a free particle is just the kinetic energy operator
Is Ψ(x) an eigenfunction of the free-particle Hamiltonian?
C. Can the energy for a quantum mechanical free particle ever be "well-defined"? Why or why not?
D. Compute the expectation (average) value of < H >, < p >, and < x > for the Ψ(x) given.
E. What is the uncertainty in total energy as a function of the parameter, σx?
Q. Give any three utilizes of secondary cells. i) The secondary cells are rechargeable. ii) They have extremely low internal resistance. iii) They are able to deliver a
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Q. A Plano-convex lens of radius 3 m is placed on a flat glass plate and is illuminated by monochromatic light. The radius of the 8th dark ring is 3.6 mm. Calculate the wavelength
Kinetics
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