2. Calculate the threshold of population inversion ( AN) for ruby laser (2 694.3nm) If the mirrors' reflectivities are RI-R2-0.9 and the life time for spontaneous emission is (r = 3x10s), length of the laser medium is 5 cm and its refractive index is (1.7). Assume the line shape function (g(v) =1.1x10 s) and neglect the coefficient of internal losses. From the result calculate the threshold gain ( Y) if the transition cross section is o = 2.8x10"cm
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- X-ray diffraction was performed on Pb with a FCC structure using a wavelength 3=0.1542 nm. The measured diffraction peaks, associated planes and diffraction angles are listed in the table below. Assume that n=1 and calculate for the three planes: a) The interplanar spacing d (3p) b) The lattice parameter a (3p) ¢) The atomic radius R (2p) Peak Index (1 s 200 36.6° (220 528°Q)prove the threshold energy relation My + m, Mx K = K =-Q- %3D min thcounts 300- 250- 200- 150 100- 30 *2Theta 8. A strong peak is recorded at a 20 = 28.29 degrees. Calculate d (interplanar spacing) using Bragg's Law. Assume a λ of 1.54 Å and use n=1. 9. Select a or b to make the statement true. X-ray wavelengths are a. on the same order of magnitude as atomic spacing b. much larger than atomic spacing
- 1. Consider a commercial power laser diode with an emission wavelength of 730nm. The threshold current when diode is operated at 30°C is 20 mA. The typical operating voltage for this device is 2V. At I = 100 mA. The output optical power is 60 mW. (a) Calculate the External Quantum Efficiency (EQE), External Power Efficiency (PCE), slope efficiency (nslope) of the laser diode. (b) What is the current required for an output optical power of 100 mW? (Hint: use nslope)JFMNLSRYA|VH|9I|WX|Y8AVE3Oun 1a., HABEN ; 7 = 33 LLYWwb b b b b b Of O HA a AAAAAUHAAлMMO ∞ ∞ 4 4 Ï И bl b W AA55TTYYTT 446 ho + Tir H€ ✡ € 1 % A y L F b 3 L 3 ( 3 ( SOLVE STEP BY STEP IN DIGITAL FORMAT " AASS 3K 3K HhB3 E 4 4 4 4 FSAA |AO|ao|AJ|au|AaAaAa KKK HhB3EE4444 aa " There is an ideal flow with uniform speed in a region where the pressure is p_0, the fluid is an obstacle at rest and you want to calculate the pressure on said obstacle.If the resolution of a spectrograph is∆λ = 10-12 m, would it be able to separate the Kα lines for lead and bismuth? Explain.
- 2.1. Give an approximate incident energy for which a crystal lattice would make a good diffraction grating for (i) Photons (ii) Neutrons (mnc2 = 939 MeV) ||1 answer. 48. From equations (6-23) and (6-29) obtain the dispersion coefficient for matter waves (in vacuum), then show that probability density (6-35) follows from (6-28). As we learned in Exon ene сог par andFind the phasor notation of: C(t) DE(t)/at, where E(t) = cos (wt + + 4 sin(wt) £ + [8 cos(wt) – sin(wt)]2.
- (a) Use the appropriate Uncertainty Principle to calculate the linewidth uncertainty in units of Hz, for an optical emission transition that has a lifetime of τ = 10−9 s. (b) Use calculus to show that an emission transition that has a linewidth of ∆f in frequency, has a linewidth in wavelength given by ∆λ = −(λ^2)/c * ∆f (c) What would be the linewidth in nm, of a transition at 600 nm if it had the lifetime given in part (a)?An Argon laser operates at a wavelength of 488 nm. The mass of an Argon atom is 6.67X10-26 kg. Calculate the expected Doppler linewidth of the argon line at T-2500K.The kilogram has been redefined based on Planck's constant (h) and a sphere of pure crystalline silicon: 8AsiVsphere Msphere = 2h 13 ст-а? The terms (with their relative uncertainties) are: (1) Planck's constant h (zero uncertainty as it is defined exactly); (2) the bracketed term including accurately known Rydberg constant R, speed of light c, mass of electron (me), and fine structure constant a, with a combined uncertainty of +4.7 × 10-8%; (3) atomic mass Asi for the 28 Si-enriched silicon (+5.4 x 10-7%); (4) volume of the Si sphere (+2.0 × 10-6%) and (5) crystal lattice parameter I (+1.84 x 10-7%). There are exactly eight atoms per unit cell in the sphere. Compute the relative uncertainty of myphere- To find the uncertainty of l, use the function y = x“, for which the uncertainty is propagated using %e, = a(%e,). relative uncertainty of msphere: % The mass of the sphere of pure silicon (999.698 336 5 g) must also be corrected for defects in the crystal lattice ( mdefects = 3.8…