U niv ersity of Tec h no lo g1t Department of Laser & Opto-electronic Engineering Final Examination 201 I -20 I 2 Subject: SpectroscoPY Class:3'd year Divhion: laser Engineering Time:3 hours Examiner: Dr. Fareed Rashid Date:5/6/2012 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). than one Usefal constants. T--3000K (at room temperature); h--6.626*10-34 Js; k:ffi-n\kl c = 2.998*Id ms't; atomic masses: H = 1.673*10-t' kg; F: 31.55*1027 kg) Charge of (e) L6+ I0'te Moss of (e ) 9.1*10'3t kg sa
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