Q2. Evaluate the kinetic energy of a free electron described by the wavefunction Se-x with k = 5 nm ¹. A. 1.9 × B. 2.5 x 10-19 J 10-19 J C. 3.5 × 10-19 J D. 2.9 x 10-1⁹ J E. 1.5 × 10-19 J

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
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Hi sir Please solve question 2

Q1. Evaluate the linear momentum a free proton described by the wavefunction 5e-³kx with
k = 9 nm ¹.
A. -2.64 x
B. -9.50 ×
10-24 kg m
10-25 kg m s¹
C. -1.06 10-25 kg m s¹
D. -5.28x 10-34 kg m s¹
E. -5.28 x 10-43 kg m s
Q2. Evaluate the kinetic energy of a free electron described by the wavefunction Se-x with
k = 5 nm ¹.
A. 1.9 × 10-19 J
B. 2.5 × 10-19 J
C. 3.5 × 10-19 J
D. 2.9 x 10-19 J
E. 1.5 x 10-19 J
Q3. Which of the following functions is well-behaved where -00<x<∞o and a > 0?
A. e-ax²
B. e-ax
CX
D. X²
E. 4X-3
Q4. Which of the following functions is NOT an eigenfunction of the operator d²/dx²:
A cos(kx)
B. sin (kx)
C. ekx
D. kx
E. e-axt
Transcribed Image Text:Q1. Evaluate the linear momentum a free proton described by the wavefunction 5e-³kx with k = 9 nm ¹. A. -2.64 x B. -9.50 × 10-24 kg m 10-25 kg m s¹ C. -1.06 10-25 kg m s¹ D. -5.28x 10-34 kg m s¹ E. -5.28 x 10-43 kg m s Q2. Evaluate the kinetic energy of a free electron described by the wavefunction Se-x with k = 5 nm ¹. A. 1.9 × 10-19 J B. 2.5 × 10-19 J C. 3.5 × 10-19 J D. 2.9 x 10-19 J E. 1.5 x 10-19 J Q3. Which of the following functions is well-behaved where -00<x<∞o and a > 0? A. e-ax² B. e-ax CX D. X² E. 4X-3 Q4. Which of the following functions is NOT an eigenfunction of the operator d²/dx²: A cos(kx) B. sin (kx) C. ekx D. kx E. e-axt
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