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Solution%20HW%2011,%20Ch%2033,%2034

# Solution%20HW%2011,%20Ch%2033,%2034 - Problem 1(a An...

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Unformatted text preview: Problem 1: (a) An electromagnetic wave of intensity 200 W/m2 is incident normally on a rectangular black card with sides of 20 cm and 30 cm that absorbs all the radiation. Find the force exerted on the card by the radiation. (b) Find the force exerted by the same wave if the card reﬂects all the radiation incident on it. ‘ : 260(0/144 * ﬂaw A :Zoxgo 647' [email protected] Z)(0_B)M (LU WKLf-T WWW C4) Wm ”QMMHJ :4. :200 “4/ng [02x0 33% 3 Xiog774/5 “~—__ Problem 2. The electric ﬁeld of an electromagnetic wave oscillates in the y direction and the Poynting vector is given by S(x,t)= (100W /m2)cos[10x 3 x10°,t] where x is in meters and t is in seconds. (a) What 1s the direction of propagation of the wave? (b) Find the wavelength and the ﬁ-equency. (c) Find the electric and magnetic ﬁelds. > 9%er Y ﬂaw/59m (“ﬁgtwg‘79 C5) )1 9 1C 9 ' CC) E9}; E9 3::- w.>1;-—JSC’/%1 [1111150131111 C'Ma _ ngloggM/XWWDQ . . _. . ﬂmzbgédmsx gt)? g 5 El? .+!946m(1m_3110b) c . , -_8\‘__,_ 3X10 “4/; N _ ( 9b r01697ﬁT€0Q we 311876): a Problem 3. In a stack of polarizing sheets, each sheet has its polarization axis r0tated,14e with respect to the preceding sheet. If the stack passes 17 % of the incidence, unpolarized light, how many sheets does it contain. ' / ’57’1448/ WWW W m/JWMW _ I) i 7 '1' 537 ﬂ“? H4 ﬂirt/fa/ h/l/W/W’IW m z, (m 0% 57‘M ﬁx mwwﬁ \$22M wz// mm /Z¢ jig/W @ 5917/70)“ ﬂ; 7w/ ﬂed We #562 anal/751%" LC 1 Z a 77”; N O 2%; MW 31/ (fag/9’) :37 g 7/1 : /+/H[ZX/?;?)ﬂﬂ//w27ﬂ Problem 4: The prism in the,Figure has n=1.52, a = 60° and is surrounded by air. A light beam is incident at 6’, = 37°. Find the angle 6 through which the beam is deﬂected. Problem 5. Two converging lenses, each having a focal length equal to 10 cm, are separated by 35 cm. An object is 20 cm to the leﬁ of the ﬁrst lens. (a) Find the position of the ﬁnal image using both my diagram and the thin-lens equation. (b) Is the ﬁnal image real or virtual? Is the ﬁnal image upright or inverted? (c) What is the overall lateral magniﬁcation of the ﬁnal image? Problem 6. My contact lens prescription calls for + 2.25 diopter lenses with an inner' curvature radius of 8.6 mm to ﬁt my cornea. (a) If the lenses are made from plastic with n = 1.56, what should be the outer curvature radius? (b) Wearing these lenses, I hold a news paper 30 cm from my eyes. Where is its image as viewed through the lenses? )9 -: +2225 714" 7;; ‘71—:‘2é57m” : #6940” K396724711 (Linnea/@1110) (9’72 l§6 : (0 5%)" (2'23” 724”!) 7» C? 4” ”W : (83/ immf’ ﬁt I ___/_ , / j 7?; v £33, MW“. (51% MM Man/say «LEM M M 4.5km 8614149, lift/2% 6/ 47¢ mitt Fifé/ mmﬁ‘ijfﬂka Problem 7. The Hubble Space Telescope is essentially a Cassegrain reﬂector, shown in the ﬁgure. The focal lengths of the concave primary and convex secondary mirrors are 5520.00 mm and -679.00 mm, respectively. The secondary is located at 4906.071 mm from the apex of the primary. Using appropriate equations determine where in Figure such rays are ﬁnally focused. Describe the ﬁnal image. imidoto/ M £9?“ ﬁergg A/L/ZLZ [vi/WW mmﬂ 41* \$20.02) W? 79W? 4/7” .. Wu”; Cam jg Winter/421 a: 4’ VL/éﬁcd 517M” 75/ m ﬁwa/d/Lj WWW Ma d137l5/7Cé 49pé-OW -— 5’3’20473 : - 6/3-927 714m _ ' ff: Véll’é ) " E 1 ~ bk (llama/w? Wing/4 214‘ W WWW / +/ p.../ a” : 7/7 u... I 77;: is MOW???” #905,579 : KIM/23 mm MM M9 69W % 72¢ f/Limgz/u'g—‘x‘ ...
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