Physical Chemistry Exam#1 T/F – Flashcards
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If a wave function is simultaneously the eigenfunction of two operators, then that wave function will be an eigenfunction of the product of those operators
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True
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Planck's constant may be derived from a measurement of energy density as a function of frequency of the light emitted by a blackbody
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True
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The Rydberg constant may be determined from a measurement of the frequencies in the atomic hydrogen emission spectrum
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True
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According to the de Broglie picture of matter waves, heavier particles have longer wavelengths than lighter particles, for a specified velocity
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False
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The displacement function in the solution to the classical wave equation for a vibrating string, Z(x,t) was written as a product z(x,t)=psi(x)E(t). In this product, psi describes the shape of the string at its maximum displacement
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True
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In the particle in a box problem where the PE goes to infinity at the ends of the box, the particle is at rest when it is in the lowest-energy state
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False
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Three will be no degenerate solutions to the Schrodinger eon for a particle in a 3-D box which has only two sides with equal lengths
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False
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A wave fan that is not normalized may be a valid solution to the Schrodinger eon
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True
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The "correspondence principle" states that quantum mechanical results agree with classical mechanical results in the limit of large quantum numbers
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True
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The probability density psi*psi may be real or complex
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False
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The uncertainty in the position of a particle in a box has its max when the quantum number n =1
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False
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All hermitian operators are real
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False
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If the momentum of an electron can be measured to any precision then the electron is a free particle
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True
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The time-d schrodinger eon is an eigenvalue problem in which the eigenvalue is the energy of the stationary state
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True
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If [A,B]=0 then the fcn that is an eigenfunction of A must be that of B
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False
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Acceptable units for 1-D wave fcn would be m^-1
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False
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If 2 operators, A and B, commute, then there exists an uncertainty relationship between their corresponding observable variables, a and b
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False
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If A is a linear operator then A[f(x)+g(x)]=Af(x)+Ag(x)
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True
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A particle satisfying the time-i eqn must have a total energy that is independent of its position
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True
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The wavelike character of electrons is demonstrated by the photoelectric effect
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False
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If two operators commute, then they must share a set of eigenfunctions
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True
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A complete orthonormal set of wave functions is sufficient to describe any arbitrary state of a system, even if the state is not an eigenstate of the hamiltonian operator
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True
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No two eigenfunctions of the same operator can have the same eigenvalue
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False
