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CHEM 222 C Physical Chemistry II

Midterm Examination (1010 points; 50 minutes; Close-book examination)
19 March 2008, Friday, 2:00 C 2:50 pm; Rm# 3008
(Note: Use the blank sheet in the back for your scratch; No question explanation during examination!)

NAME: (English) (Chinese) STUDENT ID#

(a) Useful constants:


Planck constant: h = 6.62610.34 J s Boltzmann constant: kB = 1.38 10.23 J K.1 Speed of light: c = 2.998 108 m s-1 Mass of electron: me = 9.11 10.31 kg
(b) Energy in wavenumber (inverse wavelength): 1 cm.1 <==> 1.986 10.23 J =
eV


Note: In the following, Write down needs no derivation

========================= GOOD LUCK ===========================

1. (62pts) Basic relations (M/C; choose the most appropriate ONE in each)



(i) A laser light of wavelength = 200 nm corresponds to the photon energy of

(a) 1.010.18 J (b) 4.010.21 J (c) 1.010-21 J (d) 0.025 eV


(ii) The value of . is

(a) 6.62610.34 J s (b) 1..0510.34 cm.1 (c) 1.0510.34 J s (d) 4.210.33 J s


(iii) What type of molecular process would like to absorb of = 350 nm light?

(a) translation (b) rotation (c) vibration (d) electronic transition


(iv) What is the wavelength of an electron being accelerated to the speed of 100.0 km/second?

(a) 727 cm.3 (b) 7.27 cm.3 (c) 727 nm (d) 7.27 nm


(v) In a photoelectron experiment on metal, it is known that a light of wavelength of 593.0 nm can eject out a free-electron with zero kinetic energy. Therefore, a light of wavelength 585.0 nm can eject out a free-electron with the velocity of

(a) 1.0104 m s-1 (b) 1.0105 m s-1 (c) 8.0 m s.1 (d) no photoelectron at all

(vi) The thermal energy kBT at temperature T = 298 K amounts to a wavenumber of

(a) 207 cm.1 (b) 308 cm.1 (c) 298 nm (d) 298 cm.1

2. (111 pts+42 pts) Basic concepts/results in quantum mechanics (Note: Each of the following M/C question may have multiple answers)




(T/F) A quantum mechanical state of matter at time t can be completely described by the wave function (x,t)

(T/F) Wave function description is only for the wave property of matter

(T/F) (x,t) satisfies the same physical principle of classical light propagation

(T/F) (x,t) must be a continuous function of time t

(T/F) (x,t) is the coordinate representation of |(t).

(M/C) A normalized wave function means that

(a) .(t)| (t). = 1 (b) .(t)| (t). = . for an electron

(c) (d)



(M/C) Given a normalized (x,t), the probability of finding the particle within a<x<b at time t is

(a) (x,t) (b) |(x,t)|

2 (c)
2(x,t) (d) |(x,t)|2 dx

(M/C) The Born interpretation