Quiz11_Solution - M34-l M Quiz 11 Monday May 4"“...

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Unformatted text preview: M34- -l M Quiz 11. Monday, May 4"“, 2009 PHY 252 Name: SOLUTION There are 15 points on this Quiz! Possibly helpful equations: . 2 . sma ma sin 9 7rd sm 9 1.222. I = 41 cos2 ; a = ; = ; r = _ 0 (3)[ a l A a A D 1. A slit of width a has its first diffraction minimum at an angle 6 for green light of wavelength 2L. = 600. nm. Estimate the wavelength 2,; that will have a first diffraction maximum at the same angle 6 . ® (3 points) a. >a,_ { For wnmima. m4]. “-= CLSMS For Ma.fo (pm-rang asine (close enough!) ! I I | . , 1-! +1. t I xfll 7: CLSMG (1 +591; a. asina FirSi' Mmtmum at 711 First peak (11:71; ——- 4.4 —- 2 - 3 - . 3:“: 7H 71.1:- -3-?- “l +1. +1. +3 3247.. -'= 331260un 2 4-00.me1“ 2. A soap bubble (n = 1.33) is floating in air. The colors corresponding to reflected wavelengths 450. nm and 630. nm are intensified, and the color corresponding to wavelength 540. nm is missing. i) What are the two visible reflected colors? (2 points) ii) What color is missing? (1 point) iii) Estimate the thickness of the soap film. State your assumptions. (2 points) i) 4-5Qnm 5.. blue 6 3 an. a red- il) 5'4-0J4M 1-”: green iii) For the reflected Maximal assume tinted are ne‘fihlooriufi peaks, i’W-A“; l "sos:t"re§1e¢i£on "5' ml‘dq-Z, the“ ‘20.: —. (M+'/a.)1/M =21: for maximq (Wt-r"; -— -- 21 l 7‘: 33> (M"'£)qa.: (M+%)1l (wt-1 _?-. :21: 2. n M =_L(7Ll+7t; : _:_ 63044-52) :3 2 arm 2 630-150 t= (M+-'i)-Z};-: =2 3‘s.“ 4'50 2 592mm M 7“ 2. 1.33 -1. 7" -— 2' also 1:: (WI 1);? 3.51%.“ = Sal'an _ a 0&4 1‘: '- M 5%- —- %“ = 5'92. hm. Quiz 11. Monday, May 4‘“, 2009 PHY 252 3. Find the closest separation of two points on the surface of the moon that can be just resolved by an orbiting space telescope with an aperture diameter of 2.44 meter. Take the distance from Earth to Moon to be 3.6364 ><105 km at the time of observation, and assume ft = 550. nm. (3 points) M can From the Refilth criterion, to releve an cradle 6) it we "934 LTD—Q. < e 1—. 51‘"— (w«L) 1: D L 'l is w > 1.2.2711. Lie '0 —q M > 1.22 x ($50“ x10 mm) (sesawo‘muo’ulxq "'"-_._ --— —.—_ (24-444) 'E w > IOOM loom '15 "the Smallest resdvable separation. 4. Give two reasons, humorous, valid, or otherwise, why you should get the full 150 points in the PHY 252 final exam for just writing your name! (2 bonus points each, no matter how heretical.) Two reason; will 000! ...
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