Nội dung text 1. P2C1. তাপগতিবিদ্যা_Swapan Merge Ok_Sha 24.4.24_Nashita-Ok.pdf
2 Physics 2nd Paper Chapter-01 = 1 2 – 1 – 1 × V3 = 1 2 × 10 = 5 m3 (Ans.) 6| GbUawc ej‡Z Kx eyS? 100C ZvcgvÎvi ev‡®ú cwiYZ Kiv nj| GbUawci e„w× †ei Ki| [BUET 17-18] mgvavb: GbUawc n‡”Q e ̄‘i wek„•LjZvi cwigvc Ges e ̄‘i †fŠZ ag© hv iæ×Zvcxq cÖwμqvq w ̄’i _v‡K| s = m1(v) T = 4 × 2.26 × 106 373 = 24.2359 × 103 Jk–1 (Ans.) 7| GKwU wmwjÛv‡i 300 K ZvcgvÎvq I 106 Pa Pv‡c 0.001 m3 M ̈vm Av‡Q| M ̈vmwU‡K cÖ_‡g m‡gvò cÖmviY Kiv nj Ges c‡i iæ×Zvcxq cÖwμqvq AveviI cÖmviY Kiv nj, cÖwZ †ÿ‡ÎB cÖmvi‡Yi AbycvZ 1 : 2| cÖmvi‡Y †gvU Kv‡Ri cwigvY †ei K‡iv|[BUET 17-18] mgvavb: 1g av‡c, W1 = nRT ln V2 V1 = P1V1 ln V2 V1 [∵ PV = nRT] = 106 × 0.001 ln2 = 693.147 J iæ×Zvcxq cÖmvi‡Y, T1V 1 – 1 = T2V2 – 1 T2 = 1 2 1.4 – 1 × 300 = 227.357 k PV = nRT n = PV RT = 106 × 0.001 8.314 × 300 = 0.4 mole W2 = nR 1 – [T2 – T1] = 0.4 × 8.314 1 – 1.4 [227.357 – 300] = 603.95 J Wnet = W1 + W2 = 1297.100902 J (Ans.) 8| 10 g IR‡bi GKwU †jvnvi †c‡iK‡K wKQzÿY GKwU evb©vi wkLvq DËß Kiv nj| DËß †c‡iKwU‡K 10C ZvcgvÎvq 100 g cvwb‡Z Wzev‡bv nj| G‡Z cvwbi ZvcgvÎv e„w× †c‡q 20C nj| cvwb‡Z Wzev‡bvi c~‡e© †c‡i‡Ki ZvcgvÎv wbY©q K‡iv| [†jvnvi Av‡cwÿK ZvcgvÎv = 0.11kcal/kgC] [BUET 16-17] mgvavb: Final Temperature n‡j, M„nxZ Zvc = ewR©Z Zvc 10 × 0.11( – 20) = 100 × 1 × (20 – 10) = 929.09C (Ans.) 9| GK cigvYywewkó GKwU Av`k© M ̈vm‡K 17C ZvcgvÎvq nVvr Gi g~j Avq‡Z‡bi GK-`kgvsk AvqZ‡b msKzwPZ Kiv nj| ms‡KvP‡bi ci ZvcgvÎv KZ n‡e? [BUTET 16-17] mgvavb: T1V1 – 1 = T2V 2 – 1 T2 = V1 V2 – 1 × T1 = 1 1 10 1.67 – 1 × (17 + 273) = 1356.43191 k = 1083.432 C (Ans.) 10| 1.2 atm Pvc Ges 310 K ZvcgvÎvq †Kvb M ̈v‡mi AvqZb 4.3 L| iæ×Zvcxq cÖwμqvq M ̈vm‡K msKzwPZ K‡i AvqZb 0.76 L Kiv nj| M ̈vmwUi (K) P‚ovšÍ Pvc Ges (L) P‚ovšÍ ZvcgvÎv wbY©q Ki| [M ̈vmwU‡K Av`k© M ̈vm wnmv‡e we‡ePbv Kiv hvq hvi = 1.4] [BUET 14-15] mgvavb: (K) P1V1 = P2V2 P2 = V1 V2 × P1 = 1.2 × 4.3 0.76 1.4 = 13.5799 atm (L) T1V1 – 1 = T2V2 – 1 T2 = V1 V2 – 1 × T1 = 4.3 0.76 1.4 – 1 × 310 = 620.0456 k (Ans.) 11| 0C ZvcgvÎvq 1 kg eid‡K 100C ZvcgvÎvi cvwb‡Z cwiYZ Ki‡Z GbUawci e„w× wbY©q K‡iv| [BUET 13-14] mgvavb: s = s1 + s2 = ml(f) T + ms ln T2 T1 = 1 × 3.36 × 106 273 + 1 × 4200 ln 373 273 = 2541.617 Jk–1 (Ans.) 12| 10C ZvcgvÎvq 1 kg eid‡K 100C ZvcgvÎvi cvwb‡Z cwiYZ Ki‡Z GbUawci e„w× wbY©q K‡iv| [BUTE 13-14] mgvavb: s = ms ln T2 T1 = 5 × 4200 ln 373 283 = 5798.76 Jk–1 (Ans.) 13| GKwU cvigvYweK †evgv we‡ùvwiZ n‡j m„ó Av ̧‡bi †Mvj‡Ki e ̈vmva© nq 100 m Ges Gi ZvcgvÎv 105 K| hw` †MvjKwU iƒ×Zvc c×wZ‡Z 1000 m e ̈vmva© ewa©Z nq Z‡e Gi m¤¢ve ̈ nq Z‡e Gi m¤¢ve ̈ ZvcgvÎv KZ n‡e? Av‡cwÿK Zvc؇qi AbycvZ CP CV = 1.66 [BUET 13-14,CUET 05-06] mgvavb: T1V1 – 1 = T2V 2 – 1
ZvcMwZwe` ̈v Engineering Question Bank 3 T2 = V1 V2 – 1 × T1 = r1 r2 3 – 3 × T1 V = 4 3 r 3 V r 3 = 105 × 100 1000 3 × 1.66 – 3 = 1047.128548 k (Ans.) 14| GKwU Kv‡b©v Pμ cÖv_wgK 327C ZvcgvÎvq KvR m¤úbœ K‡i| cÖwZwU av‡c ms‡KvPb ev cÖmvi‡Yi AbycvZ 1 : 6 n‡j Kv‡b©v P‡μi me©wb¤œ ZvcgvÎv Ges `ÿZv wbY©q K‡iv| [ = 1.4] [BUET 07-08] mgvavb: (P1,V1, T1) A B (P2,V2, T1) (P4,V4, T2) (P3,V3, T2) D V2 V1 = 6 ; V3 V2 = 6 BC iæ×Zvcxq cÖmviY| myZivs T1V2 – 1 = T2V 3 – 1 T2 T1 = V2 V3 – 1 = 1 6 1.4 – 1 = 0.488 = 1 – T2 T1 = 51.2% (Ans.) 15| GK †ivMxi †`‡ni ZvcgvÎv GKwU ÎæwUc~Y© _v‡g©vwgUv‡ii mvnv‡h ̈ †g‡c 45C cvIqv †Mj| hw` GB _v‡g©vwgUv‡i eid we›`y Ges ev®úwe›`y h_vμ‡g 3C Ges 107C †Z cvIqv hvq, Zvn‡j †ivMxi †`‡ni cÖK...Z ZvcgvÎv dv‡ibnvBU † ̄‹‡j †ei K‡iv| [BUET 04-05] mgvavb: x – 3 107 – 3 = F – 32 212 – 32 45 – 3 104 = F – 32 180 F = 104.6923077C (Ans.) 16| GKwU Kv‡b©v Bwćbi `ÿZv 1 6 Zvc MÖvn‡Ki ZvcgvÎv 65C Kgv‡j `ÿZv 1 3 nq| Zvc Drm I Zvc MÖvn‡Ki ZvcgvÎv wbY©q K‡iv| [BUET 02-03] mgvavb: 1 = 1 – T2 T1 = 1 6 T2 T1 = 5 6 ..... (i) 2 = 1 – T2 – 65 T1 = 1 3 1 – T2 T1 + 65 T1 = 1 3 T1 = 390 k T2 = 5 6 × 390 = 325 k (Ans.) 17| GKwU †gvUi Uvqvi‡K 15C ZvcgvÎvq 2 evqygÐjxq Pv‡c cv¤ú Kivq UvqviwU nVvr †d‡U †M‡j| Gi d‡j, ZvcgvÎv KZ K‡g hv‡e Zv †ei K‡iv| = 1.4 [BUET 02-03] mgvavb: †d‡U hvIqvi c‡i Uvqv‡ii Pvc n‡e evqygÛjxq Pv‡ci mgvb| P2 = 1 atm T1P1 1 – = T2P2 1 – T2 = P1 P2 1 – × T1 = 2 1 1 – 1.4 1.4 × (15 + 273) = 236.26 k = – 36.74C ZvcgvÎv n«vm = 15 – (–36.74)C = 51.74C (Ans.) 18| GKwU Av`k© Kv‡b©v Bwćbi Drm Ges wm‡éi ZvcgvÎv 450 K Ges 350 K| cÖwZ mvB‡K‡j BwÄbwU hw` Drm n‡Z 1 kcal Zvc MÖnY K‡i Zvn‡j (i) cÖwZ mvB‡K‡j wm‡é ewR©Z Zvc (ii) BwÄbwUi `ÿZv Ges (iii) cÖwZ mvB‡K‡j m¤úvw`Z Kv‡Ri cwigvY wbY©q K‡iv| [J = 4.184 kJ/kcal] [BUET 01-02] mgvavb: (i) †h‡nZz Kv‡b©v BwÄb ZvB, Q T Q2 Q1 = T2 T1 Q2 = 350 450 × 1 kcal = 0.78 kcal (Ans.) (ii) = 1 – T2 T1 = 1 – 350 450 = 0.222 = 22.2% (Ans.) (iii) cÖwZ P‡μ m¤úvw`Z KvR, W = Q1 – Q2 = (1 – 0.78) kcal = 0.22 kcal = 0.92048 kj (Ans.) 19| ̄^vfvweK ZvcgvÎv I Pv‡c wnwjqv‡gi GK wK‡jv‡gvj AYyi AvqZb 22.42 L| w ̄’i AvqZ‡bi wnwjqv‡gi Av‡cwÿK Zvc hw` 3.0 calg–1K –1 nq Z‡e w ̄’i Pv‡c wnwjqv‡gi Av‡cwÿK Zvc wbY©q K‡iv| (†`Iqv Av‡Q, cvi‡`i NbZ¡ = 13.6 103 kgm–3 | J = 4200 J/kcal) [BUET 01-02] mgvavb: GLv‡b, R = P0V0 nT0 = 0.76 13.6 103 9.8 22.42 10–3 1 × 273 Jmol–1K –1 = 101325 22.42 10–3 273 Jmol–1K –1
4 Physics 2nd Paper Chapter-01 = 8.31 J mol–1K –1 CP = CV + R = (3 4.2 + 8.31) J mol–1K –1 = 20.91 J mol–1K –1 (Ans.) 20| 40 wWwMÖ †mjwmqvm ZvcgvÎvq Ges 76 †m. wg. evqy Pv‡c wKQz cwigvY evqy‡K iæ×Zvcxq cÖwμqv AvqZb wØ ̧Y Kiv n‡j ZvcgvÎv KZ n‡e? Avevi hw` cwiewZ©Z ZvcgvÎv †_‡K 20 wWwMÖ †mjwmqvm e„w× Kiv nq, Z‡e Gi Pvc KZ n‡e? [ = 1.4] [KUET 19-20] mgvavb: T1V1 – 1 = T2V2 – 1 T2 = V1 V2 – 1 × T1 = 1 2 1.4 – 1 × (40 + 273) = 237.2096 k Avevi, P1V1 = P2V2 P2 = V1 V2 × P1 = 1 2 1.4 × 76 = 28.7986 cm ZvcgvÎv Av‡iv 20C ev 20 k evov‡j, T2 = 257.2096 k T1 P 1 1 – = T2 P 2 1 – P2 = T1 T2 1 – × P1 = ( ) 237.2096 257.2096 1.4 1 – 1.4× 28.7986 = 38.2192 cm (Ans.) 21| ÒZvc I ZvcgvÎvÓ Gi msÁv `vI| [KUET 04-05] mgvavb: Zvc nj e ̄‘i Zvcxq kw3| ZvcgvÎv nj Zvcxq Ae ̄’v, hv wba©viY K‡i H e ̄‘ Ab ̈ †Kv‡bv e ̄‘i ms ̄ú‡k© Avm‡j Zvc MÖnY Ki‡e ev eR©b Ki‡e| (Ans.) 22| m‡gvò cÖwμqv Kx? †Kv‡bv wbw`©ó f‡ii M ̈v‡mi ZvcgvÎv 40C| iƒ×Zvc cÖwμqvq Gi AvqZb wØ ̧Y Ki‡j P‚ovšÍ ZvcgvÎv KZ n‡e? ( = 1.4) [KUET 04-05] mgvavb: †h cÖwμqvq wbw`©ó ZvcgvÎvq †Kv‡bv M ̈v‡mi Pvc cwieZ©‡bi d‡j AvqZb cwiewZ©Z nq, Zv‡K m‡gvò cwieZ©b e‡j| T1V 1 – 1 = T2V2 – 1 T2 = 1 2 1.4 – 1 × (40 + 273) = 237.2 k = – 35.8C (Ans.) 23| GKwU wmwjÛv‡i g‡a ̈ 3atm Pv‡c Ges 300 K DòZvq 10 litres evqy Av‡Q| (a) Pvc hw` nVvr K‡i wØ ̧Y nq Zvn‡j evqyi AvqZb I DòZv KZ n‡e? (b) Pvc hw` Lye ax‡i wØ ̧Y Kiv nq Zvn‡j evqyi AvqZb I DòZv KZ n‡e? [KUET 03-04] mgvavb: (a) iæ×Zvcxq cÖwμqvq, P1V 1 = P2V2 V2 = P1 P2 1 × V1 = 1 2 1 1.4 × 10 = 6.095 Letre T1P1 1 – = T2P2 1 – T2 = P1 P2 1 – 1.4 1.4 × T1 = 1 2 0.4 1.4 × 300 = 365.704 k (Ans.) (b) ax‡i ax‡i cwieZ©b m‡gvò cÖwμqv m‡gvò cwieZ©‡bi †ÿ‡Î, P1V1= P2V2 V2 = P1 P2 × V1 = 10 2 = 5 L †h‡nZz m‡gvò cwieZ©b ZvB ZvcgvÎvi †Kv‡bv cwieZ©b n‡e bv| (Ans.) 24| 100C ZvcgvÎvq 0.02 kg Rjxqev®ú Nbxf‚Z n‡q –10C ZvcgvÎvq cwiYZ Ki‡Z KZ Zvc eR©b Ki‡Z n‡e? ev‡®úi Nbxfe‡bi Av‡cwÿK myßZvc = 2268000 Jkg–1 , ei‡di Av‡cwÿK Zvc = 2100 Jkg–1K –1 Ges ei‡di Mj‡bi Av‡cwÿK myßZvc = 336000 Jkg1 | [RUET 19-20] mgvavb: 100C Rjxqev®ú‡K 100C cvwb‡Z cwiYZ Ki‡Z cÖ‡qvRbxq Zvc, Q1 = M1(v) = 0.02 × 2.268 × 106 = 45360 J 100C cvwb‡K 0C cvwb‡Z cwiYZ Ki‡Z cÖ‡qvRbxq Zvc, Q2 = ms = 0.02 × 4200 × (100 – 0) = 8400 J 0C cvwb‡K 0C ei‡di cwiYZ Ki‡Z cÖ‡qvRbxq Zvc, Q3 = m1(f) = 0.02 × 3.36 × 105 = 6720 J (Ans.) 0C eid‡K –10C ei‡d cwiYZ Ki‡Z cÖ‡qvRbxq Zvc, Q4 = ms = 0.02 × 2100 × (10 – 0) = 420 J (Ans.) Qnet = Q1 + Q2 + Q3 + Q4 = 60900 J (Ans.) 25| Av`k© ZvcgvÎv I Pv‡c wbw`©ó AvqZ‡bi ïé M ̈vm‡K (i) m‡gvò Ae ̄’vq, Ges (iii) iæ×Zvc Ae ̄’vq wZb ̧Y AvqZ‡b cÖmvwiZ n‡Z †`qv nj| cÖwZ‡ÿ‡Î P‚ovšÍ Pvc KZ n‡e wbY©q K‡iv| ( = 1.4) [RUET 18-19] mgvavb: (i) P1V1 = P2V2 P2 = 101325 × 1 3 Pa = 33775 Pa (Ans.)