U niv ersity of Tec h no lo g1t

Department of Laser & Opto-electronic EngineeringFinal Examination 201 I -20 I 2

Ql) Find:(a) The transition energy levels of a non rigid molecule (in wavenumber), if the

rotational constant i!'10 "--t,

the centrifugal distortion constant is 2.31*10-3 cm-I and the rotational quantum number is 2'

(b) The vibration energy levels (in wavenumber) of anharmonic oscillator, if an

oscillation frequency is 1876.2 cm-', the anharmonicity constant is 0.016 and the

vibration quantum number is 3'

Q2) Starting from the combined rotation-vibration energy prove that:

ti.p""1: w6* 2Bm - 4Dm' cm-' (m:+-1, +'2,,"')

Q3)(a) Find the population levels according to Boltzmann distribution if the rotational

quanfum number is 2, the rotational constant is 5 cm-l'

(b) Find the angular momentum of the rotator.(c) Find the maximum PoPulation'

Q4) a) In the photo --electric efTect experiment, if the stopping potential (v0:4 volt) and the

{ work function of the surface is (g:1.38 volts), find the wavelength of the emitted

radiation.

-1 b) State only 3 types of dispersers

Q5) a) Find the value of the energy difference between the n:2 and n:3 levels for lithium

t atom (r3) inelectron volts(ev), then convert it into(cm-t)'

I b) Explain stark effect.

Q6) a) Find the frequency of radiation (using Balmer series) of the fourth level (n:4) if the

f, Rydberg constant (R: 1.966 xl0'm)'b) what are the two corrections of central field model of atoms having more

"\ electron.(state them onlY).

Usefal constants

k:ffi-n\Kl . T--3000K (at room temperature); h--6.626*10-34 Js;

c = 2.998*Id ms't; atomic masses: H = 1.673*10-t' kg; F: 31.55*1027 kg)

Subject: SpectroscoPYDivhion: laser EngineeringExaminer: Dr. Fareed Rashid

Class:3'd yearTime:3 hoursDate:5/6/2012

than one

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