Exam2 Example

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## This note was uploaded on 04/06/2011 for the course CHEM 3502 taught by Professor Staff during the Fall '08 term at Minnesota.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online