Pre-Midterms Review Flashcards
True or false. Newtonian Physics aka Classical mechanics is uncertain.
False
Who did not fully embrace Quantum Theory and famously quoted, “God does not play dice with the universe.”
Albert Einstein
What equation should be used to compute for the momentum of a mass less particle such as photon given its velocity?
de Broglie wave equation
True or false. Bohr used the Coulombic potential energy of interaction which is a function of distance r from the nucleus and Planck’s light energy
e = hn to come up with his model of the
hydrogen atom. Fitting the emission spectrum of hydrogen yielded the energy of the electron as a discrete function of integer n > 0 and therefore fixed r values of the electron.
True
True or false. The position of a specific line in the emission spectrum of hydrogen can be calculated as En = -Rh/n2 where n = 1, 2, … which is then converted to the usual value in terms of wavelength l.
False
The probability of finding a quantum particle in a position x and x +dx is given by
Probability density times dx
Which is not true about the wavefunction?
A. It may be real or complex function if coordinates of the system.
B. It gives the probability of finding the particle in space.
C. It is solved from the Schrodinger equation given the specific potential energy of the system.
D. Its square is the probability density.
B. It gives the probability of finding the particle in space.
A particle confined in a one-dimensional box whose quantum state is given by n=3 will have ___ nodes located at ___ position(s).
2 nodes, L/3 and 2L/3
A particle confined in a two-dimensional square box with edge length L, and whose quantum state is given by n(x) = 1 and n(y) = 2 will have (x, y) positions: ___ with maximum probability density.
(L/2, L/4) and (L/2, 3L/4)
Which statements are true for a particle in 1D box within 0, x, L with a finite potential energy barrier V(0) at the edges and outside of the box?
A. Particle is said to be confined only to the box when E<V(0)
B. Particle is said to be in a bound state when E<V(0) wherein E is quantized.
C. Particle can assume a continuum of energy values when it tunnels out of the box.
D. Particle is able to tunnel out of the box when E<V(0).
E. Particle behaves like a free particle when E>V(0) and the E can be any value.
F. Particle has a non-zero ground state energy.
B, D, E, F
The interpretation that Newtonian Physics is also a limiting result of Quantum Physics for macroscopic-scale phenomena is the so-called ___ Principle.
Bohr Correspondence Principle
When the pi electrons of the linear octatetraene are modeled as confined particles along the conjugated length of the bonds and involving Pauli Exclusion Principle for each quantum state, the lowest electronic energy transition will be for n changing from _.
4 to 5
The solution of a differential equation such as the Schrodinger equation will yield _
Real or imaginary functions that satisfy the equation.
___ provide regions of equal zero or non-zero probability densities for a ___ box case.
Contour lines, 2D
For a given system, the following ___ is applied to the general solution of the Schrodinger equation to come up with the so-called ___
Boundary or initial conditions, specific or particular solutions
