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# SFU - the peak wavelength and total emission per unit area...

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Unformatted text preview: the peak wavelength and total emission per unit area of a human face and the ground under these conditions? (3 marks) (1)) What about when it is a hot day and the ground temperature is 30°C? ( 1 mark) (:3) Your security camera sees at 3 micron wavelength. What is the emission level at that wavelength of the face and backgromd under the conditions of (a) and (b)? (2 marks) ' ENSC 460/894 Assignment 1: (Jan. 31, ‘06 due Feb. 7, ‘06) 1 Security systems often want to detect the presence of living person relative to the background. ' (a) Assume the ground is just at freezing temperature, and the human is standard body temperature (37 °C). What is a WWIKHMLMW — H u M 4’ .15”- ll .—_-. 9—— 2 (a) An atom has 1.5 eV separating two energy states. Calculate the ratio of the number of atoms in the excited state to the number in the ground state at T = 300, 700 and 1000 K. (7 marks) 10)) What are the wavelengths and frequency of the light radiated in the transition from that excited state to the ground. {3 marks) —-.__.___ 4 .-< .mzr .41 m- 863 / Zm— ﬂax/5"” . _. /. EL. _/ a, W m Jul,» 4"— "I 3 If th_e round trip gain in a 30 cm long laser 1s 1%, what 18 the net gain coefﬁcient ( g Gt). (5 marks) r . ' . I f. I ' I . 4 A one cm candle is set 3cm in front of a concave spherical mirror having a radius pf 12 cm. Give the position and magniﬁcation of the resulting image. me a sketch with those locations. Use the graphical method to solve this problem in that sketch also. (6 marks) - . f" In, A“ l n J.— .."_ w. . __ w_... 7 _ ._.___ -W .. _Im....,I.mj£.lI,l-I“ :I. _. a -- -.._-...ItI r.I:_I .. Th _. _I..m .l I- -I- e .. _ I..--I_!..... .. .. . M IN I I.-I.-.: . _ I...--II .. . .. .. _..---m _ IIIIf _. .I._..I . ._ : . ._-.I. I m _| I. IImII-_ . _ II. . .. .. .. . .# IIIM III I _II..| m _ . .. .. . . .. —1.5 em. The image is miniﬁed and inverted {MT ‘2' iii. | I 1 I | | I | | | #7313. ‘I | I I out MT located I5 cm to the left of the vane: where is the image located. {5 marks] 2 —1ﬂ.93 em; the image is iI-ii-tuaiT to the left of the vertex, and light diverges from it. | | I ! I I | I. The site on! the image can be determined from the expression if]. ___.—-—-I 1 '._l I = 1.5} is surrounded by water {11:133} with the Ieft .3 Given that so = 1'5 cm and j = 25. em, it {allows Iron: the thin lens equation that and therefore al- 2 31.5 em. This is positive, which means that the image ia real and located beyond The magniﬁcation is —1II'2 and so in the lens. Hence Hencl II I I __J l l | I | and magniﬁcation of the mulling image. Draw a sketch with mouse locations. {3 marks] i L i I | I S A 3 cm high wine “Wk is sitting 75 cm from a thin positive [convex] lens of f = 25 cm. Give the position 7' I . It'"_1 I thlasamdiﬂ _ 'I-adiostem.1fap¢lntsm1fﬂ=li #I I I ! ! [ I 1 | Jr I i Tri— —i”i_‘I'I ‘I—"'I—I +2 : : H_'I_|s._ 1::- —i‘_!:—i_'_ :I_,- I :. I I_ #_._...___I.._‘._._.t_4ﬂ__.'___|—.I_._t—# i_l_#-.__.-.__.-1_-_____I_.!.... .__... '. __I_.;___ L 1 | '. | I : | | - | I ; | i 1 . . : : I/%# I ' _J -....J__|—!i_..__|—i : : _..'_i'—'.'._.‘l_.__1__l__.'. __ _.-. i iﬂl i i I | i i i | 5 s 1 '. . . i | i | : : : i i I ; i T It is required that an image twice the size of an ubjuct be. formed by a. thin piano-tun?“ Icns. If Ill: 1:115 has I a radius of cmatur: of 5D cm and n = 1.5 dctcnnin: the abjact and image locations with rcspact to 111: lcns. (5 _'| # marks) - ._.._..__....J|_ —|—q—'I—i—i— =' 1 ,1- .£_._T_;..L.—T"'..____.;_1'.T_'T. ...|__._5___.1'.".',T .:I__'=_i.__l__i:__.__l...__...__|__i i i i i I . . {a} ' i 1 I i r . it is evident. Hut 1 real magniﬁed image wuuid occur when I ﬁt an. c: 2! and I i i i that. it wan“: be inverted and located such that I :‘r I; :1- 2f. In this. case " —-‘J.— : ! I a | i 1: -194) —'— i=1: 1"“;le i , —".—.— —.-.—— ielda 1 = ﬂ 2 i | . | L 3" r u -—.- -~ i i . _ . . . . . together with the fact that ——' ; E : M‘— if, = _2 _, -ﬂ : ‘ - a” : . '- l - — a : j__-._._._ .. . . gn—es int—I— = i -—----—---- —- I _i : I : s 2‘ 1”” ___ ' _.'___. I . _____ __ __ __ and. as in 3., = 150 cm. ' -_ 8 A bi-concave lens of f- — -60 mm is mounted 120 mm in front of a plan- convex lens of radius 60 mm, n- — _1.5 and is looking at a 3 111111 integrated circuit located 180 mm in front of the device. Using the both the combined lens formulas and matrix methods give the position and magniﬁcation of the resulting" image. Draw a sketch with those _ locations. What' is the focal length of the equivalent lens and where is it located (10 marks) . i [moms-.4 assignment1q8 _ ﬂ; -- _ I ...
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