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

Recommendations

Info

390 ANSWERS AND SOLUTIONS Then. according to the law of refraction, sin a nt sin ~ = no sin p n' --=sin y nl sin 'V n" sin ~=n' Fig. 503 sin q> n 2 sin, = n(n) sin ~ na sinx=n2 Upon multiplying these equations we" get sin a ns SiiiX= no Hence, the angle at which the beam leaves the plate x=arcsin (:: ~in a) depends only on the angle of incidence of the beam on the plate and on the refraction indices of the media on both sides of the plate. In particular, if ng=no. then x=a..
GEOMETRICAL OPTICS 391 Fig. 504 n" Fig. 505 N F Generally speaking, the angle O. at which the beam is inclined to the vertical is related to the refraction index n at any point on the plate by the ratio n sin 8=const=no sin a.. If the refraction index reaches a value of n = nosin ex anywhere inside the plate, full internal reflection will take place. In this case the beam will leave the plate for the medium at the same angle ex at which it entered the plate (Fig. 504). 698. The minimum amount of water determined by the level x (Fig. 505) can be found from the triangle MNF. We have NF=x-b=xtanr. From the law of refraction . sin i 51nr=- n Therefore, b x= -t--t-a-n-, since i=45° and 11= ~ . The amount of water required is V=xa 2 =::: 43.2 litres, 699. The man's eyes are reached by rays coming in a narrow beam from an arbitrary point C on the bottom. They seem to the eye as issu ing from point C' (Fig. 506). Since di and dr are very small, we can write: AD=AC'~'=~ar cos r AD'=AC'.~i=~~i cos ~ By equating the values of AB from triangles ABD and ABD', we have -!!- ~r= .s.. f1.t cos 2r cos 2 l
Page 4 and 5:
B. B. 6yX08I4e8. B. JI. KpU8IleHIC0
Page 6 and 7:
First published 1971 Second printin
Page 8 and 9:
6 Chapter 5. Geometrical Optics •
Page 10 and 11:
8 PROBLEMS engineer arrived at the
Page 12 and 13:
10 PROBLEMS c rIII a Fig. 3 01 IIII
Page 14 and 15:
12 PROBLEMS ....------1----.... str
Page 16 and 17:
14 PROBLEMS velocity at a constant
Page 18 and 19:
16 PROBLEMS the highest point of th
Page 20 and 21:
18 PROBLEM~ friction if the weight
Page 22 and 23:
20 PROBLEMS Fig. 28 H 11/ r ~--I---
Page 24 and 25:
22 PROBLEMS Fig. 25 Fig. 26 B m; is
Page 26 and 27:
24 PROBLEMS ~ 1 2 • ~ Fig. 29 tha
Page 28 and 29:
2(; PROBLEMS m m Fig. 32 Fig. 33 90
Page 30 and 31:
28 PROBLEMS o ;...-. ..... 8 D Fig.
Page 32 and 33:
a Fig. 41 Fig. 42 for the rotating
Page 34 and 35:
32 PROBLEMS Fig. 48 122. In Guerick
Page 36 and 37:
34 PROBLEMS (I) What work is done b
Page 38 and 39:
36 PROBLEMS ~ city of the weights a
Page 40 and 41:
38 PROBLEMS wedge. The block can sl
Page 42 and 43:
40 PROBLEMS s II ne. 61 Fl,. 62 182
Page 44 and 45:
42 PROBLEMS A A N o B " Fig. 65 Fig
Page 46 and 47:
44 PROBLEMS 178. A ball bearing sup
Page 48 and 49:
46 PROBLEMS Fig. 73 Fig. 74 189. At
Page 50 and 51:
a 0' Fig. 80 Fig- 8/ ces '1 and " f
Page 52 and 53:
50 PROBLEMS Fig. 84 Fig. 85 205. A
Page 54 and 55:
52 PROBLEMS surface. Find the angul
Page 56 and 57:
54 PROBLEMS '-... ' ..........-....
Page 58 and 59:
56 PROBLEMS ~==-==~~~~---------- --
Page 60 and 61:
58 PROBLEMS "/I I 11 L..-__----...,
Page 62 and 63:
60 PROBLEMS the chamber closes herm
Page 64 and 65:
62 PROBLEMS made of the same materi
Page 66 and 67:
--- --r-- - Fig. 114 ~--l---I"" Fig
Page 68 and 69:
66 PROBLEMS ~ ~ I A ~ • B Fig. 11
Page 70 and 71:
CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
Page 72 and 73:
70 PROBLEMS What quantity of heat w
Page 74 and 75:
72 PROBLEMS 315. A barometer gives
Page 76 and 77:
74 PROBLEMS pressure Po = 760 mm Hg
Page 78 and 79:
76 PROBLEMS of the air in the room
Page 80 and 81:
78 PROBLEMS -- II -- - --- -- - - -
Page 82 and 83:
80 PROBLEMS angle will be different
Page 84 and 85:
82 PROBLEMS ~ Fig. 141 force F will
Page 86 and 87:
84 PROBLEMS tube when the nut is tu
Page 88 and 89:
86 PROBLEMS p - --- Fig. 146 Fig. 1
Page 90 and 91:
88 PROBLEMS 400. If only one charge
Page 92 and 93:
90 PROBLEMS 417. A metal leaf is at
Page 94 and 95:
92 PROBLEMS Fig. 153 Fig. 154 431.
Page 96 and 97:
94 PROBLEMS Prove that if these cap
Page 98 and 99:
96 PROBLEMS of the vessel is placed
Page 100 and 101:
A Fig. /66 Fig. /67 463. Two conduc
Page 102 and 103:
100 PROBLEMS It At the moment of ti
Page 104 and 105:
102 . PROBLEMS . Fig. 174 Fig. /75
Page 106 and 107:
104 PROBLEMS length of L = 5.6 km t
Page 108 and 109:
106 PROBLEMS an energy of QU/2 is l
Page 110 and 111:
108 ....------------- PROBLEJ\\S Fi
Page 112 and 113:
110 PROBLEMS Fig. 187 Fig. 188 Cons
Page 114 and 115:
112 PROBLEMS 3-4. Magnetic Field of
Page 116 and 117:
114 PROBLEMS 553. Will the density
Page 118 and 119:
116 PROBLEMS tic field in the direc
Page 120 and 121:
118 PROBLEMS Fig. 206 Fig. 207 ving
Page 122 and 123:
120 PROBLEMS is , and its length l
Page 124 and 125:
122 PROBLEMS -~ t Fig. 218 597. An
Page 126 and 127:
124 PROBLEMS 608. Determine the eff
Page 128 and 129:
126 PROBLEMS rent I. flowing throug
Page 130 and 131:
PROBLEMS 625. Find the period of os
Page 132 and 133:
130 PROBLEMS Fig. 227 tions of a we
Page 134 and 135:
132 PROBLEMS 1; ~ ----- v Fig. 230
Page 136 and 137:
134 PROBLEMS 00 DC- Fig. 232 Fig. 2
Page 138 and 139:
136 PROBLEMS the third one that was
Page 140 and 141:
138 PROBLEMS 680. Find graphically
Page 142 and 143:
140 PROBLEMS W 689. Two flat mirror
Page 144 and 145:
142 PROBLEMS 702. A ray incident on
Page 146 and 147:
144 PROBLEMS .9' Fig. 247 length of
Page 148 and 149:
146 PROBLEMS a point source arrange
Page 150 and 151:
148 PROBLEMS displaced with respect
Page 152 and 153:
150 PROBLEMS 757. Two men, a far-si
Page 154 and 155:
152 PROBLEMS H 767. Two point sourc
Page 156 and 157:
154 PROBLEMS 773. A convergent lens
Page 158 and 159:
156 PROBLEMS 6.. 2. Diffraction of
Page 160 and 161:
158 P~OBLEMS focal length of f = 40
Page 162 and 163:
ANSWERS AND SOLUTIONS CHAPTER 1 MEC
Page 164 and 165:
162 ANSWERS AND SOLUTIONS I 2 9 5 G
Page 166 and 167:
164 ANSWERS AND SOLUTIONS depend on
Page 168 and 169:
166 ANSWERS AND SOLUTIONS Hence and
Page 170 and 171:
168 ANSWERS AND SOLUTIONS \ \\\\\\\
Page 172 and 173:
o s Fig. 278 .D A B B' Fig. 277 25.
Page 174 and 175:
172 ANSWERS AND SOLUTIONS '0; U2 OI
Page 176 and 177:
174 ANSWERS AND SOLUTIONS 35. The a
Page 178 and 179:
176 ANSWERS AND SOLUTIONS ice dry s
Page 180 and 181:
178 ANSWERS AND SOLUTIONS The addit
Page 182 and 183:
180 ANSWERS AND SOLUTIONS --+- 0 9
Page 184 and 185:
182 ANSWERS AND SOLUTIONS 65. Initi
Page 186 and 187:
184 ANSWERS AND SOLUTIONS Let us as
Page 188 and 189:
186 ANSWERS AND SOLUTIONS where s i
Page 190 and 191:
188 ANSWERS AND SOLUTIONS 1-5. Stat
Page 192 and 193:
190 ANSWERS AND SOLUTIONS Hence, F=
Page 194 and 195:
o • • • ~. Fig. 306 Fig. 907
Page 196 and 197:
194 ANSWERS AND SOLUTIONS A C~~7;7l
Page 198 and 199:
196 ANSWERS AND SOLUTIONS N F;r 9 m
Page 200 and 201:
198 ANSWERS AND SOLUTIONS .0 Fig. 3
Page 202 and 203:
200 ANSWERS AND SOLUTIONS rnicircle
Page 204 and 205:
202 ANSWERS AND SOLUTIONS The wagon
Page 206 and 207:
204 ANSWERS AND SOLUTIONS 132. Acco
Page 208 and 209:
206 ANSWERS AND SOLUTiONS 140. On t
Page 210 and 211:
208 ANSWERS AND SOLUTION The kineti
Page 212 and 213:
210 ANSWERS AND SOLUTIONS I :h I o
Page 214 and 215:
212 ANSWERS AND SOLUTIONS Fig. 326
Page 216 and 217:
Page 218 and 219:
216 ANSWERS AND SOLUTIONS Fig.3d1 F
Page 220 and 221:
218 ANSWERS AND SOLUTIONS a Fig. 33
Page 222 and 223:
220 ANSWERS AND SOLUTIONS " ...-- ,
Page 224 and 225:
222 ANSWERS AND SOLUTIONS Therefore
Page 226 and 227:
224 ANSWERS AND SOLUTIONS 171. The
Page 228 and 229:
226 ANS\VERS AND SOLUTIONS A 2u (6)
Page 230 and 231:
Page 232 and 233:
230 ANSWERS AND SOLUTIONS T=(M +m)
Page 234 and 235:
232 ANSWERS AND SOLUTIONS 9-"-,,~,
Page 236 and 237:
234 . ANSWERS AND SOLUTIONS Newton'
Page 238 and 239:
236 o ANSWERS AND SOLUTIONS a A H F
Page 240 and 241:
Page 242 and 243:
240 ANSWERS AND SOLUTIONS The close
Page 244 and 245:
242 ANSWERS AND SOLUTIONS time t: W
Page 246 and 247:
244 ANSWERS AND SOLUTIONS Since the
Page 248 and 249:
246 ANSWERS AND SOLUTIONS F F q equ
Page 250 and 251:
248 ANSWERS AND SOLUTIONS 1-9. The
Page 252 and 253:
250 ANSWERS AND SOLUTIONS ",' ,~ I
Page 254 and 255:
(1 A6000-"""'------------..li.....-
Page 256 and 257:
254 ANSWE~S AND SOLUTIONS entire th
Page 258 and 259:
256 ANSWERS AND SOLUTIONS If the wa
Page 260 and 261:
258 ANSWERS AND SOLUTIONS N Accordi
Page 262 and 263:
260 ANSWERS AND SOLUTIONS acting on
Page 264 and 265:
262 ANSWERS AND SOLUTIONS Thus, the
Page 266 and 267:
264 ANSWERS AND SOLUTiONS The chang
Page 268 and 269:
266 ANSWERS AND SOLUTIONS time to b
Page 270 and 271:
CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
Page 272 and 273:
270 ANSWERS AND SOLUTIONS ! This sy
Page 274 and 275:
Page 276 and 277:
274 ANSWERS AND SOLUTIONS P A ~ ---
Page 278 and 279:
276 ANSWERS AND SOLUTIONS 320. Sinc
Page 280 and 281:
278 ANSWERS AND SOLUTIONS 330. When
Page 282 and 283:
280 ANS,WERS AND SOLUTIONS p 1.....
Page 284 and 285:
Page 286 and 287:
Page 288 and 289:
286 ANSWERS AND SOLUT IONS JI!!!I!I
Page 290 and 291:
Page 292 and 293:
290 ANSWERS AND SOLUTIONS 378. It i
Page 294 and 295:
292 ANSWERS AND SOLUTIONS the kettl
Page 296 and 297:
CHAPTER 3 ELECTRICITY AND MAGNETISM
Page 298 and 299:
296 ANSWERS AND SOLUTIONS Upon solv
Page 300 and 301:
Page 302 and 303:
300 ANSWERS AND SOLUTIONS .0 E + +
Page 304 and 305:
302 ANSWERS AND SOLUTIONS In the se
Page 306 and 307:
Page 308 and 309:
306 ANSWERS AND SOLUTIONS - - + + +
Page 310 and 311:
308 ANSWERS AND SOLUTIONS + - +0-~a
Page 312 and 313:
310 ANSWERS AND SOLUTIONS +/l U -1/
Page 314 and 315:
312 ANSWERS AND SOLUTIONS A JJ a Fi
Page 316 and 317:
314 ANSWERS AND SOLUTIONS sufficien
Page 318 and 319:
316 ANSWERS AND SOLUTIONS a layer w
Page 320 and 321:
318 ANSWERS AND SOLUTIONS the circu
Page 322 and 323:
Page 324 and 325:
322 ANSWERS AND SOLUTIONS through w
Page 326 and 327:
324 ANSWERS AND SOLUTIONS w Fig. 43
Page 328 and 329:
326 ANSWERS AND SOLUTiONS to the e.
Page 330 and 331:
Page 332 and 333:
330 t Fig. 445 ~ + - fj R -r ~ wher
Page 334 and 335:
332 ANSWERS AND SOLUTIONS 9 !/min F
Page 336 and 337:
Page 338 and 339:
336 ANSWERS AND SOLUTIONS "'---1/=1
Page 340 and 341:
338 ANSWERS AND SOLUTIONS I t Fig.
Page 342 and 343: 340 ANSWERS AND SOLUTIONS /16'4 D 2
Page 344 and 345: 342 ANS'WERS AND SOLUTIONS .Irorn t
Page 346 and 347: 344 . ANSWERS AND SOLUTIONS Fig. 45
Page 348 and 349: 346 ANSWERS AND SOLUTIONS II /"----
Page 350 and 351: 348 ANSWERS AND SOLUTIONS cording t
Page 352 and 353: 350 ANSWERS AND SOLUTIONS ; t B If
Page 354 and 355: 352 ANSWERS AND SOLUTIONS the ring
Page 356 and 357: 354 ANSWERS AND SOLUTIONS I proport
Page 358 and 359: 356 ANSWERS AND SOLUTIONS u A u o F
Page 360 and 361: 358 ANSWERS AND SOLUTIONS an e.rn.I
Page 362 and 363: 360 ANSWERS AND SOLUTIONS retard th
Page 364 and 365: 362 p ANSWERS AND SOLUTIONS 612. Th
Page 366 and 367: 364 ANSWERS AND SOLUTIONS and 11+J2
Page 368 and 369: 366 ANSWERS AND SOLUTIONS 623. Each
Page 370 and 371: 368 ANSWERS AND SOLUTIONS Let us so
Page 372 and 373: 370 ANSWERS AND SOLUTIONS Rememberi
Page 374 and 375: 372 ANSWERS AND SOLUTIONS Hence, 0)
Page 376 and 377: 374 ANSWERS AND SOLUTIONS H (a) H t
Page 378 and 379: 376 ANSWERS AND SOLUTIONS (curve ab
Page 380 and 381: A ~-..----4-----r--------r-- Fig. 4
Page 382 and 383: CHAPTER 5 GEOMETRICAL OPTICS 5-1. P
Page 384 and 385: 382 ANSWERS AND SOLUTIONS· Paper -
Page 386 and 387: 384 ANSWERS AND SOLUTIONS DAB =~-=-
Page 388 and 389: 386 ANSWERS AND SOLUTIONS 684. (a)
Page 390 and 391: 388 ANSWERS AND SOLUTIONS Fig. 500
Page 394 and 395: 392 ANSWERS AND SOLUTIONS a Fig. 50
Page 396 and 397: 394 ANSWERS AND SOLUTIONS B -------
Page 398 and 399: 396 ANSWERS AND SOLUTIONS ~-"":;:'-
Page 402 and 403: 8' Fig. 519 s* IIIIIIII N P H' Fig.
Page 404 and 405: 402 ANSWERS AND SOLUTIONS ..... ...
Page 406 and 407: 404 ANSWERS AND SOLUTIONS ~---d---~
Page 408 and 409: 406 ANSWERS AND SOLUTIONS E a S s'
Page 412 and 413: 410 ANSWERS AND SOLUTIONS The dista
Page 414 and 415: 412 ANS\\'ERS AND SOLUTIONS the sys
Page 416 and 417: 414 J- ------....,.c 8- ----~--- AN
Page 418 and 419: 416 ANSWERS AND SOLUTIONS Therefore
Page 420 and 421: 418 ANSWERS AND SOLUTIONS N Fig. 54
Page 422 and 423: 420 ANSWERS AND SOLUTIONS from the
Page 424 and 425: 422 S, IT ........... In --.. U' .,
Page 426 and 427: 424 ANSWERS AND SOLUTIONS dering tr
Page 428 and 429: 426 ANSWERS AND SOLUTIONS Fig 556 T
Page 430 and 431: 428 ANSWERS AND SOLUTIONS 779. When
Page 436 and 437: 434 ANSWERS AND SOLUTIONS cent slit
Page 438 and 439: 436 ANSWERS AND SOLUTIONS 805. For
Page 440 and 441: 438 ANSWERS AND SOLUTIONS (blue-vio
show all

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

Create successful ePaper yourself

Delete template?

Save as template?