Exam2 Example

Exam2 Example - B(a The eigenvalue of L 2(e where μ is the...

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Sample Exam Problems 1. Which of the following statements is/are true about < x 2 > evaluated for one- dimensional QMHO wave functions over the same potential V ? (a) Parity requires it to be zero for levels where n is even (e) It is equal to < V >/ k where k is the oscillator force constant (b) It decreases with increasing n (f) (b) and (c) (c) It is equal to < x > 2 (g) (c) and (d) (d) It is always positive (h) (b), (d), and (e) 2. Which of the following statements about angular momentum operators, eigenvalues, and eigenfunctions is/are true ? (a) L + = ( L )* (e) L LY l,l = 0 (b) < L 2 > = < L z > 2 if m l = l (f) (a) and (e) (c) For each value of l there are 2 l + 1 possible values of m l (g) (a), (c) and (d) (d) L + Y l,l = 0 (h) All of the above 3. For a diatomic molecule, what is the rotational constant
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Unformatted text preview: B ? (a) The eigenvalue of L 2 (e) where μ is the reduced mass and R is the bond length (b) The eigenvalue of L z (f) where I is the moment of inertia (c) (g) (e) and (f) (d) J + K (h) None of the above 4. An electron of spin α is in a 3d orbital. Which of the below sets of quantum numbers ( n , l , m l , s , m s , j , m j ) might reasonably describe such an electron? (a) (3, 3, 3, 3, 3, 3, 1) (e) (3, 2, 2, 1/2, 1/2, 5/2, 5/2) (b) (3, 3, 2, 1/2, 1/2, 5/2, 5/2) (f) (c) and (e) (c) (3, 2, 0, 1/2, 1/2, 5/2, 1/2) (g) (b), (c), (d) and (e) (d) (3, 2, 0, –1/2, –1/2, 5/2, –1/2) (h) None of the above (Answers will be posted on class website) d g f f...
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This note was uploaded on 04/06/2011 for the course CHEM 3502 taught by Professor Staff during the Fall '08 term at Minnesota.

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Exam2 Example - B(a The eigenvalue of L 2(e where μ is the...

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