Bukhovtsev-et-al-Problems-in-Elementary-Physics

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434 ANSWERS AND SOLUTIONS cent slits Is 6=BD-AC=dsln tp-dsln a These waves add up and Intensify each other when d (sin cp-sin 8)=kl where k= I, 2, 3, ... for the maxima lying at the right of the central one (Jl=O) and k=~I, -2, -3, ••• for those lying at its left. The maximum order of the spectrum will be observed when q>=-9()O. Thus d (-1- ~ ) =kA. Hence, k=-6. The spectrum of the sixth order may be observed. The minus sign shows that the spectrum lies to the left of the central one. 802. As follows from the formula d (sin q>-sin 8)=kA (see the solution to Problem 801), the period of the grating will be minimum with tangential Incidence of the rays: 9=90°. In this case d d ~ . Therefore, the period of the grating should satisfy the inequality d~ ~ • 803. In the general case, as shown in the solution of Problem 801, the sought condition will be d (sin cp-sin 9)=kA It may be rewritten as 2dcos CPt 9 sin cP 2 9=kA q>+9 T 9
PHYSICAL OPTICS 435 S~-------+--+------~IF----';;;~~- Fig. 564 or Upon solving this equation, we find that sin p -1±Y4n l - 2 Y2 l The solution with the plus sign has a physical meaning. For red. rays sin ~r e!! 0.26. Therefore, PI' S!: 15°6'. For violet rays sin Po ee 0.31 and Pv:::= ~ 18°6'. The sought angle is e=~o-p,. ~ 3°. Fig. 665
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B. B. 6yX08I4e8. B. JI. KpU8IleHIC0
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First published 1971 Second printin
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6 Chapter 5. Geometrical Optics •
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8 PROBLEMS engineer arrived at the
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10 PROBLEMS c rIII a Fig. 3 01 IIII
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12 PROBLEMS ....------1----.... str
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14 PROBLEMS velocity at a constant
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16 PROBLEMS the highest point of th
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18 PROBLEM~ friction if the weight
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20 PROBLEMS Fig. 28 H 11/ r ~--I---
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22 PROBLEMS Fig. 25 Fig. 26 B m; is
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24 PROBLEMS ~ 1 2 • ~ Fig. 29 tha
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2(; PROBLEMS m m Fig. 32 Fig. 33 90
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28 PROBLEMS o ;...-. ..... 8 D Fig.
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a Fig. 41 Fig. 42 for the rotating
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32 PROBLEMS Fig. 48 122. In Guerick
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34 PROBLEMS (I) What work is done b
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36 PROBLEMS ~ city of the weights a
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38 PROBLEMS wedge. The block can sl
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40 PROBLEMS s II ne. 61 Fl,. 62 182
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42 PROBLEMS A A N o B " Fig. 65 Fig
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44 PROBLEMS 178. A ball bearing sup
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46 PROBLEMS Fig. 73 Fig. 74 189. At
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a 0' Fig. 80 Fig- 8/ ces '1 and " f
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50 PROBLEMS Fig. 84 Fig. 85 205. A
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52 PROBLEMS surface. Find the angul
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54 PROBLEMS '-... ' ..........-....
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56 PROBLEMS ~==-==~~~~---------- --
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58 PROBLEMS "/I I 11 L..-__----...,
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60 PROBLEMS the chamber closes herm
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62 PROBLEMS made of the same materi
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--- --r-- - Fig. 114 ~--l---I"" Fig
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66 PROBLEMS ~ ~ I A ~ • B Fig. 11
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CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
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70 PROBLEMS What quantity of heat w
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72 PROBLEMS 315. A barometer gives
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74 PROBLEMS pressure Po = 760 mm Hg
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76 PROBLEMS of the air in the room
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78 PROBLEMS -- II -- - --- -- - - -
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80 PROBLEMS angle will be different
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82 PROBLEMS ~ Fig. 141 force F will
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84 PROBLEMS tube when the nut is tu
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86 PROBLEMS p - --- Fig. 146 Fig. 1
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88 PROBLEMS 400. If only one charge
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90 PROBLEMS 417. A metal leaf is at
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92 PROBLEMS Fig. 153 Fig. 154 431.
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94 PROBLEMS Prove that if these cap
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96 PROBLEMS of the vessel is placed
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A Fig. /66 Fig. /67 463. Two conduc
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100 PROBLEMS It At the moment of ti
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102 . PROBLEMS . Fig. 174 Fig. /75
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104 PROBLEMS length of L = 5.6 km t
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106 PROBLEMS an energy of QU/2 is l
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108 ....------------- PROBLEJ\\S Fi
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110 PROBLEMS Fig. 187 Fig. 188 Cons
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112 PROBLEMS 3-4. Magnetic Field of
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114 PROBLEMS 553. Will the density
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116 PROBLEMS tic field in the direc
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118 PROBLEMS Fig. 206 Fig. 207 ving
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120 PROBLEMS is , and its length l
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122 PROBLEMS -~ t Fig. 218 597. An
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124 PROBLEMS 608. Determine the eff
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126 PROBLEMS rent I. flowing throug
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PROBLEMS 625. Find the period of os
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130 PROBLEMS Fig. 227 tions of a we
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132 PROBLEMS 1; ~ ----- v Fig. 230
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134 PROBLEMS 00 DC- Fig. 232 Fig. 2
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136 PROBLEMS the third one that was
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138 PROBLEMS 680. Find graphically
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140 PROBLEMS W 689. Two flat mirror
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142 PROBLEMS 702. A ray incident on
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144 PROBLEMS .9' Fig. 247 length of
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146 PROBLEMS a point source arrange
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148 PROBLEMS displaced with respect
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150 PROBLEMS 757. Two men, a far-si
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152 PROBLEMS H 767. Two point sourc
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154 PROBLEMS 773. A convergent lens
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156 PROBLEMS 6.. 2. Diffraction of
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158 P~OBLEMS focal length of f = 40
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ANSWERS AND SOLUTIONS CHAPTER 1 MEC
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162 ANSWERS AND SOLUTIONS I 2 9 5 G
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164 ANSWERS AND SOLUTIONS depend on
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166 ANSWERS AND SOLUTIONS Hence and
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168 ANSWERS AND SOLUTIONS \ \\\\\\\
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o s Fig. 278 .D A B B' Fig. 277 25.
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172 ANSWERS AND SOLUTIONS '0; U2 OI
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174 ANSWERS AND SOLUTIONS 35. The a
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176 ANSWERS AND SOLUTIONS ice dry s
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178 ANSWERS AND SOLUTIONS The addit
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180 ANSWERS AND SOLUTIONS --+- 0 9
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182 ANSWERS AND SOLUTIONS 65. Initi
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184 ANSWERS AND SOLUTIONS Let us as
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186 ANSWERS AND SOLUTIONS where s i
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188 ANSWERS AND SOLUTIONS 1-5. Stat
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190 ANSWERS AND SOLUTIONS Hence, F=
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o • • • ~. Fig. 306 Fig. 907
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194 ANSWERS AND SOLUTIONS A C~~7;7l
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196 ANSWERS AND SOLUTIONS N F;r 9 m
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198 ANSWERS AND SOLUTIONS .0 Fig. 3
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200 ANSWERS AND SOLUTIONS rnicircle
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202 ANSWERS AND SOLUTIONS The wagon
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204 ANSWERS AND SOLUTIONS 132. Acco
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206 ANSWERS AND SOLUTiONS 140. On t
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208 ANSWERS AND SOLUTION The kineti
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210 ANSWERS AND SOLUTIONS I :h I o
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212 ANSWERS AND SOLUTIONS Fig. 326
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216 ANSWERS AND SOLUTIONS Fig.3d1 F
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218 ANSWERS AND SOLUTIONS a Fig. 33
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220 ANSWERS AND SOLUTIONS " ...-- ,
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222 ANSWERS AND SOLUTIONS Therefore
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224 ANSWERS AND SOLUTIONS 171. The
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226 ANS\VERS AND SOLUTIONS A 2u (6)
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230 ANSWERS AND SOLUTIONS T=(M +m)
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232 ANSWERS AND SOLUTIONS 9-"-,,~,
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234 . ANSWERS AND SOLUTIONS Newton'
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236 o ANSWERS AND SOLUTIONS a A H F
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240 ANSWERS AND SOLUTIONS The close
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242 ANSWERS AND SOLUTIONS time t: W
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244 ANSWERS AND SOLUTIONS Since the
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246 ANSWERS AND SOLUTIONS F F q equ
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248 ANSWERS AND SOLUTIONS 1-9. The
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250 ANSWERS AND SOLUTIONS ",' ,~ I
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(1 A6000-"""'------------..li.....-
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254 ANSWE~S AND SOLUTIONS entire th
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256 ANSWERS AND SOLUTIONS If the wa
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258 ANSWERS AND SOLUTIONS N Accordi
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260 ANSWERS AND SOLUTIONS acting on
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262 ANSWERS AND SOLUTIONS Thus, the
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264 ANSWERS AND SOLUTiONS The chang
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266 ANSWERS AND SOLUTIONS time to b
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CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
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270 ANSWERS AND SOLUTIONS ! This sy
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274 ANSWERS AND SOLUTIONS P A ~ ---
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276 ANSWERS AND SOLUTIONS 320. Sinc
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278 ANSWERS AND SOLUTIONS 330. When
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280 ANS,WERS AND SOLUTIONS p 1.....
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286 ANSWERS AND SOLUT IONS JI!!!I!I
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290 ANSWERS AND SOLUTIONS 378. It i
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292 ANSWERS AND SOLUTIONS the kettl
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CHAPTER 3 ELECTRICITY AND MAGNETISM
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296 ANSWERS AND SOLUTIONS Upon solv
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300 ANSWERS AND SOLUTIONS .0 E + +
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302 ANSWERS AND SOLUTIONS In the se
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306 ANSWERS AND SOLUTIONS - - + + +
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308 ANSWERS AND SOLUTIONS + - +0-~a
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310 ANSWERS AND SOLUTIONS +/l U -1/
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312 ANSWERS AND SOLUTIONS A JJ a Fi
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314 ANSWERS AND SOLUTIONS sufficien
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316 ANSWERS AND SOLUTIONS a layer w
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318 ANSWERS AND SOLUTIONS the circu
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322 ANSWERS AND SOLUTIONS through w
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324 ANSWERS AND SOLUTIONS w Fig. 43
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326 ANSWERS AND SOLUTiONS to the e.
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330 t Fig. 445 ~ + - fj R -r ~ wher
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332 ANSWERS AND SOLUTIONS 9 !/min F
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336 ANSWERS AND SOLUTIONS "'---1/=1
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338 ANSWERS AND SOLUTIONS I t Fig.
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340 ANSWERS AND SOLUTIONS /16'4 D 2
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342 ANS'WERS AND SOLUTIONS .Irorn t
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344 . ANSWERS AND SOLUTIONS Fig. 45
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346 ANSWERS AND SOLUTIONS II /"----
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348 ANSWERS AND SOLUTIONS cording t
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350 ANSWERS AND SOLUTIONS ; t B If
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352 ANSWERS AND SOLUTIONS the ring
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354 ANSWERS AND SOLUTIONS I proport
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356 ANSWERS AND SOLUTIONS u A u o F
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358 ANSWERS AND SOLUTIONS an e.rn.I
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360 ANSWERS AND SOLUTIONS retard th
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362 p ANSWERS AND SOLUTIONS 612. Th
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364 ANSWERS AND SOLUTIONS and 11+J2
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366 ANSWERS AND SOLUTIONS 623. Each
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368 ANSWERS AND SOLUTIONS Let us so
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370 ANSWERS AND SOLUTIONS Rememberi
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372 ANSWERS AND SOLUTIONS Hence, 0)
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374 ANSWERS AND SOLUTIONS H (a) H t
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376 ANSWERS AND SOLUTIONS (curve ab
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A ~-..----4-----r--------r-- Fig. 4
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CHAPTER 5 GEOMETRICAL OPTICS 5-1. P
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382 ANSWERS AND SOLUTIONS· Paper -
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