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1. 12 SchoolDD.com  www.schoolDD.com

2. www.schoolDD.com 1 12 12.1

3. - *+ ,*-

4. .-/0 *,1 -223

5. .-/0+ *-

6. 2 4516523

7. .-/0*-

8. .5 (5.23.,-6

9. 58. 455*..2 *-/ 05* -9 5239.58.,1*-

10. 29 /2) - *,458+ * */; -5. 58 5 /..-/-50. 5-.*-

11. .458+ *-9-

12. /= *, */; 0. 5-.*-

13. 255..

14. ..6= 450.-6255..

15. .0- /.-2?= ,0@A 1. ! 2. # ! /84

16. 2*+2-.53

17. * (B+6- ) ,1 +* - /84

18. 2-5- (6- ) ,1 +* 6 A1 A1 N2 N2 A2 A2 N3 N3 A3 A3 s2 s1 N1 A0 N1 53

19. *596..2*+

20. 8 +*

21. /84 A 2 -.*

22. C B A 61/ A B C 5-.*-

23. 0. @255..

24. www.schoolDD.com 2 3. %! ! 4. '' ! 12.2 (# - .-/L.*4/51/-5,14//- .-/L5L,12. - .-/L.*/-5

25. = 9.-6.MN2+./-5 ( T 2 v 2 λ 2 4/ f

26. ) - *20.-/L.*. ( vt )

27. .MN2+ t .S5S* /1*84 ,1 +**1.5-62 4/ 0/1*TU23.,12 +**1. 1 *,1+ *1. 0*+

28. 2 253

29. * + AV456452 +*AV. 153

30. *53

32. ,6+M.L*.. ,1-..,4*W 8

33. .6 39 +2 +*AV. vt = 331 + 0.6t -50° C ≤ t ≤ 80° C 0.,1260A @23.2 460A ,1 + *5.016 A.,12 + L . v5L vt

34. www.schoolDD.com 3 3

35. .,*?53

36. *20.-/L.* (v) ,*2 23

37. . v = .-/L.* (m/s) f = 20

38. (.6/+ 3. Hz) λ = 253

39. (m) 12.3 /0 # 53

40. * ?53

41. 2 24*-

42. .255./-5 .4 --653

44. .53

45. 255./-5,1*-

46. 2 253

48. /253

49. . 4* /84.255../+

50. -2253

51. *53

53. @ . 4* /84.255.. 23

54. .253

55. *53

57. @ 111255. .,15

58. /25-M1

59. ?*.- 451* v = f /84 +2 .255 2 -/+ 2 - 1,- .- .- +53

61. .53

62. * /84 255../+ 255.. 23

63. .53

64. *53

67. www.schoolDD.com 4 . ?A1/84 +2.255.. -61,- .2554/51 /84 *-/255

68. ./5*.- 451*,1253

70. 21,- ?; . ?A4* 2 -.255.. -6/84/= /2453

72. .53

73. * *-//5*.- ,122 -** 451/5*,122 -/

74. 8* *2066+ 53

75. /2.53

76. * ,53

77. /2 5 *+ - 20

78. f .*

79. +,1?20

80. --620

81. ./8+ * 1 3

82. .S;5.53

83. *20

84. *515 3

85. .T5 ,-65/-94/*53

86. .., -653

87. *1.5-6 2 + T5... ,, 5.53

88. ?11 8 .-/L *9815-6 1500 m/s 2 0.MN2+.. +

89. 29, 25˚ C ? 35˚ C .-/L.*.,1?. .-/L.*. , vt = 331 + 0.6t 23

90. . t = 25˚ C , v25 = 331 + 0.6(25) = 331 + 15 = 346 m/s 23

91. . t = 35˚ C , v35 = 331 + 0.6(35) = 331 + 21 = 352 m/s .-/L.*.,1 +

92. 29 = 352-346 = 6 m/s Ans .- .- .- +53

94. .53

95. , s = vt = 1500 (2/2) 5

96. = 1500 s = 1500 m Ans v = 1500 t = 2 s

97. www.schoolDD.com 5 3 *2/.- @5*2 .-*1..53

98. *20

99. * @5*2

100. /./-94/ 6.0 cm 9.6/.3

101. .8+ *

102. 220

103. 8 .-/L* . 340 m/s 53

104. *,1+ *1.23

105. . *+

106. 3.-6253

107. --9253

108. /.-6 6.0 cm , v = fλ f = = . = 5.67x103 Hz Ans 4 +f1@*.4 +**1. 2 -9 5-+f?5 2 451 4 + , 111@-9*. 8 .-/L*. 340 m/s s1 451 s2 , s = vt s1 = vt1 = 340(2/2) = 340 m s2 = vt2 = 340(4/2) = 680 m 111@-9*. s = s1 + s2 = 340 + 680 = 1020 m Ans 12.4 # ! % %# ! # ! 5 I 7 20 85-*

109. 458+ *..

110. 39

111. .53

112. 52 2? -//;/./2/ (W/m2 ) M

113. P

114. ,1 I

115. 23

116. . P = 85-* (Watt) R = 111458+ * s -6/84

117. ,122* I = s R t2 5-6 = 4 t1 5-6 = 2 s1 s2

118. www.schoolDD.com 6 %# ! 5 7 ?+2M

119. 6.2 -.* 2? S+65 (dB) - *

120. 21 -622* 451*

121. 8284@A 8 #% - .6/2*20. +*. 9-61 -622*45120

122. .* - 5.* ( Tr ) 20 5-6,M1

123. *21 -6222

124. * ,1-

125. 5 5 60 dB 5 *,58 3

126. .* 285-* 22 -//; 4@53

127. ..?52 ,22 * 4511 -622*

128. 11 140 2/,458+ , 22* I = = = 10 log 23

129. . I = 22* =

130. /.- I0 = 10-12 W/m2 22*.

131. *

132. 2;+

133. 2 + Imax = 1 W/m2 22*2

134. *

135. 2;A f .6/

136. + Tr 60 dB 0 t s R = 140 s P = 22

137. www.schoolDD.com 7 I = 1x10-4 W/m2 Ans 1 -622*, = 10 log = 10 log ! !# = 80 dB Ans 6 6. A 451 B .,*00A ?11 50 2/ 451100 2/ /258 -6 0 A + * 0A,*0 222 4x10-2 W/m2 B ,1 +* 222 , 22* I = 23

138. . P

139. I

140. $ % = % $ IB = IA RA 2 RB 2 = 4x10-2 502 1002 IB = 1x10-2 W/m2 Ans 7 1 -622***

141. 2;*20-6A ? 0* -

142. *

143. 2;*20A 222* 1 W/m2 1 -622*, = 10 log = 10 log !# = 10 log 1012 = 10 x 12 = 120 dB Ans *0 - RB = 100 P RA = 50 A B IA = 4x10-2 IB = ?

144. www.schoolDD.com 8 12.5 % # %=8 ? % 9.-620

145. .* (f ) 1 -6*/

146. 8 20

147. ,1/

148. 8 253

149. 2 *,12 1 -6** 20

150. ,1* 253

151. . *,1452 20

152. .*

153. ./+ +2/-94/ 20 0 20,000 Hz *

154. 220

155. /

156. 8 20 Hz 5 53

157. /* 451*

158. 220

159. * 20,000 Hz 53

160. 3.* # 9.-64.2 5+, .53

161. * -,124.2 5+, .53

162. **. 53

163. */2 20,000 Hz 20 53

164. /* 53

165. 3.* 20

166. + 53

167. */2 2A 3

168. .45*-M53

169. /2 ?53

170. /2 1 -6*/

171. 8 1 -6** * - *.

172. www.schoolDD.com 9 - *4 .* = 20 *

173. 220

174. ? 2 .20

175. .*-9= */ /- C 220

176. 256 Hz *4 . C 3. ,1220

177. 256x2 = 512 Hz ?/ =8 ? =8 ? 3.*9.-653

178. * */; , .5+ 3.S. ,11.6 *

179. 220

180. f , 2f , 3f , p, nf (5r;2.+) + 9 .2- 451222*4/5120

181. 4// - 853

182. *

183. ..24//- ,8MN * .3

184. . /4/51+ 4//- MN *,?*+

185. *2041N.458+ 3.+ .3

186. . / # @AB 2020

187. /

188. 8* .*

189. ..,458+ * = ., r;2.+

190. 1 C D 20 20

191. .3

192. =

193. + 9 .2-620

194. 25s 4/220

195. ?,8/L2. 20

196. 25s r;2.+

197. 2 451r;2.+

198. 3 ,1220

199. ? 2 451 3 .20

200. 25s /258 -6 ( f , 2f , 3f , p, nf ) - 4/51/8+ ,1 f , I 451 n /- 8 *,.5 *

201. 220

202. 25s 350 Hz , r;2.+

203. 1, 2, 3 451 4 .*, .59 r;2.+

204. 1 , f = 20

205. 25s = 350 Hz r;2.+

206. 2 , 2f = 2(350) = 700 Hz /; nf , In 3f , I3 2f , I2 f , I1 .5 nf , In 3f , I3 2f , I2 f , I1 S. nf , In 3f , I3 2f , I2 f , I1 t .5+ *.2*

207. www.schoolDD.com 10 r;2.+

208. 3 , 3f = 3(350) = 1050 Hz r;2.+

209. 4 , = = Hz 12.6 # @

210. % ?! # @

211. .-/0 2020

212. *-

213. 3.4.-/0..+*1 - 20

214. u2/+.-/0 2/-*2. - 20

215. u2/+. */; ,1-620

216. 25s ?! ?BM;

217. 24218-/0*-

218. 3.4 20

219. .4

220. 8-/0*-

221. 3.4 -620

222. u2/+.-/0-9 23

223. .+ *-

224. . *-

225. .-/0,124.25+, .*-

226. 2

227. * 23

228. .6-6*-

229. 20

230. .3

231. = *-

232. ..*5. S4S; + ,4*. .53

233. *,458+ 451 53

234. *

235. *1.,5*6 8+ 53

236. +

237. 255..

238. ./+ -65*6,1253

239. .

240. * 255..

241. 6+M5. ,1*-

242. 2

243. * 21,- ** , +* -

244. 5. λ/4 λ/2

245. www.schoolDD.com 11 9 5.*-

246. ..*5. S4S; *

247. 220

248. 680 Hz 0.-/L* .M1-9? 340 m/s ,1+ *-

249. .-9

250. 1 , 2, 451 3 23

251. . 5*6,5. ? 11 ,;8 f = 680 Hz 451 v = 340 m/s --9 λ = / = 0 = 0.5 m 10 ,20

252. /

253. 8* .*,458+

254. 8+ *-

255. ..16.5v

256. 1.0 m 0*2.-/L 340 m/s 20

257. /

258. 8* 4* 253

259. 2

260. * ,1 = 2. λ = 4x1 = 4 m f , f = = = 85 Hz Ans 11 5. 416.5

261. v 82*9821 -6/= - 458*.2*

262. 85-*-

263. + *55. 622*.985. 4 2

264. 8+ * - +2 -942 985. 4* 10 cm -9

265. 2 2985. 4* 20 cm ,20

266. *,*.2* 0.-/L *? 340 m/s s1 = = .1 = 0.125 m Ans s2 = ? s1 = ? *-

267. .-9

268. *. *-

269. .-94 λ/4 λ/2 *-

270. .-9

271. *2 s2 = + = = 2 .1 = 0.375 m Ans λ/4

272. www.schoolDD.com 12 , - = 0.20 0.10 = 0.10 λ = 2x0.1 = 0.2 m f , f = = . = 1700 Hz Ans 12.7 D 6/*;.* ?BM;

273. 53

274. *,458+ *.45

275. 220

276. /-5L.2 4*. - 8 +* -451.*5-6-?,-1/- 20

277. 6/*; ,1-6 ,8-9.* - +

278. + , 12 ,20

279. 6/*;.*,458+ 2 45

280. *..2 20

281. 514 Hz 451 510 Hz 20

282. 6/*;, Δf = | f2 f1 | = | 510 514 | Δf = 4 Hz Ans Δf = | f2 G f1 | f1 = 20

283. ,458+ 1 f2 = 20

284. ,458+ 2 ∆f ≤ 7 ,,1*20,84*6/*; 0.10 3λ 4 0.20 λ 4

285. www.schoolDD.com 13 12.8 I D? D ?BM;

286. @A (Observer) +*S

287. 220

288. 5

289. ,20

290. .458+ (Source) 1458+ 53

291. .

292. 3.@A53

293. .

294. s 1. '0J /A!KL'= @A ,1 +*

295. 220

296. *9 451253

297. *-95 , 4 = / --9 ,,1 4O = 56 /6 451 fO = 7 = 56 fs @A 5-,1 +*

298. 220

299. /

300. 85451253

301. 9 , 4 = / --9 ,,1 4O = :6 /6 451 fO = 7 = :6 fs 458+ 53

302. .

303. @A53

304. .

305. 5- vs t vt vt 23

306. . v = .-/L*. vs = .-/L.458+ vO = .-/L.@A fs = 20

307. *,458+ fO = 20

308. *

309. @A + 4O = 253

310. *

311. @A +

312. www.schoolDD.com 14 2. /A!KL'0J A0 @A +458+ ,1 +*

313. 220

314. *9 4/253

315. +2 , f = ; --9 ,,1 fO = :7 ; 451 4 = /6 --9 fO = :7 fs @A +..,458+ ,1 +*

316. 220

317. /

318. 85 4/253

319. +2 , f = ; --9 ,,1 fO = 57 ; 451 4 = /6 --9 fO = 57 fs =A I D? D 20

320. @A +, ! MJ A N

321. ! 1. 0458+ 53

322. .

323. @A +

324. ( vO = 0 ) ,1 fO = 6 fs - 0@A. fO ,1 +

325. 29 --9,1 fO = 56 fs - 0@A. 5- fO ,15 5 --9,1 fO = :6 fs - ,1 4O , 4O = /7 vO vO v +.., s + fO = == ==? fs

326. www.schoolDD.com 15 2. 0@A53

327. .

328. 458+ .+

329. ( vs = 0 ) ,1 fO = 7 @ fs - 0@A +458+ fO ,1 +

330. 29,1 fO = :7 @ fs - 0@A +..,458+ fO ,15 5,1 fO = 57 @ fs - ,1 4

331. , 4 = /6 3. 0458+ 451@A53

332. .

333. .2-5-. 1 451 2 2- 13 0 65v S20

334. 1000 Hz 02L*.? 340 m/s .620

335. *

336. @A +23

337. . . 0+

338. 2L 40 m/s @AS

339. .+

340. . 0+

341. 2L 40 m/s ..,@AS

342. .+

343. 5- . @A53

344. .

345. 2L 10 m/s 0S

346. ,.

347. . @A53

348. .

349. 2L 10 m/s ..,0S

350. ,.

351. + B . 5.; 20

352. @A +, fO = A 6 fs . vs = 40 m/s +

353. , vO = 0 fO = 56 fs = 5 1000 = 1000 fO = 1133 Hz Ans . vs = 40 m/s +

354. ..,, vO = 0 fO = :6 fs = : 1000 = 0 1000 fO = 895 Hz Ans vs vO vO fs = 1000 v = 340 5-

355. www.schoolDD.com 16 . vO = 10 m/s +

356. , vs = 0 fO = :A @ fs = : 1000 = 1 1000 fO = 1029 Hz Ans . vO = 10 m/s +

357. ..,, vs = 0 fO = 5A @ fs = 5 1000 = 1000 fO = 970 Hz Ans 12.9 % 20 53

358. + ,.- /-.53

359. 23

360. ..-/L.458+ *.-/L.53

361. 53

362. 14?22452 S.+62 20 * -516+

363. + 93

364. .,53

365. 1453

366. .

367. @ 82 - 6+M-9 25

368. 452451 L /-.23

369. .23

370. .6+ 6+@63. 45*3

371. .6+ 81,/4/ +53

372. .

373. . 458+ s +53

374. .

375. . 53

376. 14 53

377. 14

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