Tiêu đề P1C10. Phy. For FRB-2024_With Solve.pdf ✅

Av`k© M ̈vm I M ̈v‡mi MwZZË¡  Final Revision Batch 1 `kg Aa ̈vq Av`k© M ̈vm I M ̈v‡mi MwZZË¡ Ideal Gas and Kinetics of Gases Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2021 2022 2023 †gvU e‡q‡ji m~Î Ñ 1 2 2 6 3 4 18 Pvj©‡mi m~Î Ñ 1 Ñ 1 Ñ Ñ Ñ 2 Pvcxq m~Î Ñ Ñ Ñ Ñ Ñ 1 Ñ 1 A ̈v‡fv‡M‡Wavi m~Î Ñ Ñ Ñ Ñ Ñ Ñ Ñ Ñ M ̈v‡mi mgš^q m~Î 1 1 Ñ 2 Ñ Ñ 1 5 Mo gy3c_ 1 1 Ñ Ñ Ñ 2 Ñ 4 Av`k© M ̈vm m~Î Ñ 1 Ñ 1 Ñ 1 1 4 M ̈v‡mi MwZZ‡Ë¡i m~Î Ñ Ñ Ñ Ñ Ñ 3 Ñ 3 M ̈vm AYyi eM©g~j Mo eM©‡eM 2 1 Ñ 1 wm‡jev‡m †bB 5 1 10 M ̈v‡mi MwZkw3 2 1 5 5 6 4 23 ̄^vaxbZvi gvÎv Ñ Ñ Ñ Ñ Ñ 2 Ñ 2 Rjxq ev®ú I evqyi Pv‡ci m¤úK© Ñ 1 1 1 Ñ Ñ Ñ 3 wkwkivsK I Av‡cwÿK Av`a©Zv 4 3 1 Ñ 8 5 9 30 * we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb, 2021 mv‡j kU© wm‡jev‡m Aa ̈vqwU AšÍfz©3 wQjbv| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| MÖx‡®§i †Kv‡bv GKw`‡bi cÖPÐ Zvc`v‡n wgwg I Zvi mncvVx cixÿvMv‡i GKwU wmwjÛv‡i 1000 gm wg‡_b M ̈vm wb‡q cixÿv KiwQj hvi AvYweK fi 16 gmmol –1 | AvenvIqvi GB Ae ̄’vi †cÖwÿ‡Z wkÿK QvÎ-QvÎx‡`i ej‡jb, †Kv‡bv ̄’v‡b Av‡cwÿK Av`a©Zv 70% AwZμg Ki‡jB e„wó nIqvi m¤¢vebv _v‡K| H ̄’v‡bi wkwkiv1⁄4 12.5C Ges evqyi ZvcgvÎv 20.6C| 12C, 13C, 20C I 21C ZvcgvÎvq m¤ú„3 Rjxqev®ú Pvc h_vμ‡g 10.85 mmHg, 14.5 mmHg, 18.5 mmHg I 20.55 mmHg| [Xv. †ev. 23] (K) w ̄’wZ ̄’vcK mxgv Kx? (L) c~Y© `„p e ̄‘i cxob I weK...wZ †jLwPÎ AsKb K‡i cÖK...wZ e ̈vL ̈v K‡iv| (M) wmwjÛv‡i iwÿZ wg‡_b M ̈v‡mi MwZkw3 wbY©q K‡iv| mgvavb: wmwjÛv‡i iwÿZ M ̈v‡mi MwZkw3, EK = 3 2 nRT  EK = 3 2  W M RT  EK = 3 2  1000 16  8.314  (20.6 + 273)  EK = 228.84 kJ (Ans.) (N) DÏxc‡Ki H ̄’v‡b H w`b e„wó nIqvi m¤¢vebv Av‡Q wK bv MvwYwZK we‡køl‡Yi Av‡jv‡K e ̈vL ̈v K‡iv| mgvavb: (13 – 12)C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq (14.5 – 10.85) mm  0.5C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq 14.5 – 10.85 13 – 12  0.5 mm = 1.825 mm  12.5C ZvcgvÎvq m¤ú„3 ev®úPvc = 10.85 + 1.825 = 12.675 mm (Hg) (21 – 20)C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq (20.55 – 18.5) mm  0.6C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq 20.55 – 18.5 21 – 20  0.6 mm = 1.23 mm  20.6C ZvcgvÎvq m¤ú„3 Rjxq ev®úPvc = 18.5 + 1.23 = 19.73 mm (Hg)  Av‡cwÿK Av`a©Zv, R = f F  100% = 12.675 19.73  100% = 64.242% < 70% Av‡cwÿK Av`a©Zv 70% Gi Kg nIqvq e„wói m¤¢vebv †bB| (Ans.) 2| GKwU jeYv3 mvMi c„‡ô 27C ZvcgvÎvq wnwjqvg M ̈vm Øviv GKwU M ̈vm †ejyb c~Y© Kiv n‡jv| GKw`b hLb H †ejybwU jeYv3 cvwbi wb‡P 10C ZvcgvÎvq ivLv n‡jv ZLb Gi e ̈vm mvMi c„‡ôi gv‡bi A‡a©K cvIqv †Mj| Avevi hLb †ejybwU‡K GKB MfxiZvi GKwU †j‡Ki cvwbi wb‡P ivLv n‡jv ZLb e ̈vm Gi c„ô‡`‡ki gv‡bi wZb-PZz_©vsk cvIqv †Mj| †evjR&g ̈vb aaæeK 1.38 × 10–23 JK–1 Ges c„ô‡`‡k Pvc 105 Pa g‡b K‡iv, †j‡Ki me©Î ZvcgvÎv mgvb| [iv. †ev. 23] (K) Av`k© M ̈vm Kv‡K e‡j? (L) kx‡Zi mKv‡j wkwki †`Lv hvq †Kb?
2  HSC Physics 1st Paper Chapter-10 (M) †j‡Ki cvwb‡Z 5 m Mfx‡i †ejybwUi AvqZb wbY©q K‡iv| mgvavb: ZvcgvÎv w ̄’i _vKvq, P1V1 = P2V2  V2 V1 = P1 P2 = Patm Patm + hg  V2 V1 = 105 105 + 5  103  9.8 = 0.671  V2 = 0.671 V1  5 m MfxiZvq †ejybwUi AvqZb c„‡ôi AvqZ‡bi 0.671 ̧Y n‡e| (Ans.) (N) hw` MfxiZv 5 m nq Z‡e mvMi I †jK Dfq †ÿ‡Î †ejy‡bi AvqZb mgvb n‡e wK? MvwYwZKfv‡e we‡kølY Ki| mgvavb: mvM‡i 10C ZvcgvÎvq, P1V1 T1 = P2V2 T2  Patm  d 3 1 T1 = (Patm + hg)  d 3 2 T2  105  d 3 1 300 = (105 +h  103  9.8)      1 2 d1 3 283  h = 66.803 m  66.803 m Mfx‡i ZvcgvÎv n«vm cvq 17C| 5 m Mfx‡i ZvcvgvÎv n«vm cvq = 17 66.803  5 = 1.272C  5 m MfxiZvq ZvcgvÎv = (27 – 1.272)C = 25.728C Avevi, 5 m MfxiZvq, P1V1 T1 = P2V2 T2  V2 V1 = P1 P2  T2 T1 = Patm Patm + hg  25.728 + 273 300  V2 V1 = 0.668  V2 = 0.668 V1 GLb, †j‡Ki cvwb‡Z 5 m MfxiZvq, P1V1 = P2V 2  V 2 = P1 P2  V1 = Patm Patm + hg  V1  V 2 = 105 105 + 5  103  9.8  V1  V 2 = 0.6711 V1  V2  V 2 , A_©vr mvMi I †jK Dfq‡ÿ‡Î †ejy‡bi AvqZb mgvb n‡e bv| (Ans.) 3| ̄^vfvweK ZvcgvÎv I Pv‡c GKwU †Lvjv wjUvi d¬v‡ ̄..i g‡a ̈ 1.32  10–3 kg bvB‡Uav‡Rb M ̈vm _vK‡Z cv‡i| 90C ZvcgvÎvi Mig cvwb Øviv d¬v ̄..wU Aa©c~Y© Kiv n‡j M ̈vm cvwbi mv‡_ Zvcxq mvg ̈ve ̄’vq _v‡K| [Kz. †ev. 23] (K) m¤ú„3 ev®úPvc Kv‡K e‡j? (L) el©vKv‡j †fvR Kvco †`wi‡Z ïKvq †Kb? (M) cvwbi ZvcgvÎvq GKwU bvB‡Uav‡Rb AYyi MwZkw3 wbY©q K‡iv| mgvavb: GKwU bvB‡Uav‡Rb AYyi MwZkw3, E = 3 2 kT  E = 3 2  1.38  10–23  (90 + 273)  E = 7.5141  10–21 J (Ans.) (N) Mig cvwb Øviv Aa©c~Y© Kivi ci c~‡e©i A‡a©K cwigvY M ̈vm aviY Ki‡e bvÑ Dw3wUi h_v_©Zv hvPvB K‡iv| mgvavb: awi, Zvcxq mvg ̈ve ̄’vq ZvcgvÎv 90C PV = nRT  PV = W M RT  W = PVM RT = 101325  0.5  10–3  28  10–3 8.314  (90 + 273)  W = 4.7  10–4 kg < 1.32  10–3 2  Mig cvwb Øviv Aa©c~Y© Kivi ci, c~‡e©i A‡a©K Gi †P‡q Kg cwigvY M ̈vm aviY Ki‡e| (Ans.) 4| †Kv‡bv ̄’v‡b GKRb Wzeyix Aw·‡Rb wmwjÛvi Qvov 5 m Mfxi ch©šÍ cvwbi wb‡P AbymÜvb Ki‡Z cv‡i| H ̄’v‡bi cvwbi DcwiZ‡j 105 Pa Pv‡c evqy fwZ© GKwU †ejy‡bi AvqZb 10–3 m 3 | †ejybwU ILv‡b wbgw3⁄4Z Ki‡j †Kv‡bv GK RvqMvq AvqZb nq 4 × 10–4 m 3 | cvwbi NbZ¡ = 103 kgm–3 AwfKl©R Z¡iY = 9.8 ms –3 [h. †ev. 23] (K) cqm‡bi AbycvZ Kx? (L) †Kv‡bv ̄’v‡bi Av‡cwÿK Av`a©Zv 50% ej‡Z Kx eyS? e ̈vL ̈v Ki| (M) cvwbi DcwiZ‡j †ejy‡bi g‡a ̈ M ̈v‡mi MwZkw3 wbY©q Ki| mgvavb: †ejy‡bi g‡a ̈ Dcw ̄’Z M ̈v‡mi MwZkw3, E = 3 2 nRT  E = 3 2 PV  E = 3 2  105  10–3  E = 150 J  cvwbi DcwiZ‡j †ejy‡bi g‡a ̈ M ̈v‡mi MwZkw3 150 J| (Ans.) (N) †hLv‡b †ejy‡bi AvqZb 4 × 10–4 m 3 nq †mLv‡b Wzeyix Aw·‡Rb wmwjÛvi Qvov AbymÜvb Kvh© m¤úv`b Ki‡Z cvi‡e wK? MvwYwZK we‡kølYc~e©K gZvgZ cÖ`vb Ki| mgvavb: P1V1 = P2V2  Patm  V1 = (Patm + hg)  V2  105  10–3 = (105 + h  103  9.8)  4  10–4  h = 15.306 m > 5 m  †hLv‡b †ejy‡bi AvqZb 4  10–4 m 3 †mLv‡b Wzeyix Aw·‡Rb wmwjÛv‡i Qvov AbymÜvb Kvh©m¤úv`b Ki‡Z cvi‡e bv| (Ans.)
Av`k© M ̈vm I M ̈v‡mi MwZZË¡  Final Revision Batch 3 5| †Kv‡bv ̄’v‡bi evqyi ZvcgvÎv 20C Ges wkwkiv1⁄4 7.4C| evqyi ZvcgvÎv K‡g 16C nj| 7C, 8C Ges 20C ZvcgvÎvq m¤ú„3 Rjxq ev‡®úi Pvc h_vμ‡g 7.53 mm, 8.05 mm I 17.54 mm cvi` Pvc| [h. †ev. 23] (K) Mogy3 c_ Kv‡K e‡j? (L) M ̈v‡mi AYy ̧‡jvi Mo MwZkw3 M ̈v‡mi cig ZvcgvÎvi mgvbycvwZKÑe ̈vL ̈v Ki| (M) DÏxc‡K H ̄’v‡bi Av‡cwÿK Av`a©Zv KZ? mgvavb: (8 – 7)C ZvcgvÎv e„w×i Rb ̈ m¤ú„3 ev®úPvc e„w× cvq (8.05 – 7.53) mm  0.4C ZvcgvÎv e„w×i Rb ̈ m¤ú„3 ev®úPvc e„w× cvq = 8.05 – 7.53 8 – 7  0.4 = 0.208 mm  7.4C ZvcgvÎvq m¤ú„3 ev®úPvc = 7.53 + 0.208 = 7.738 mm  Av‡cwÿK Av`a©Zv, R = f F  100%  R = 7.738 17.54  100%  R = 44.11%  DÏxc‡Ki H ̄’v‡bi Av‡cwÿK Av`a©Zv 44.11%| (N) Av‡cwÿK Av`a©Zv AcwiewZ©Z †i‡L evqyi ZvcgvÎv Kgvi d‡j wkwkiv‡1⁄4i cwieZ©b n‡e wK? MvwYwZKfv‡e we‡kølY Ki| mgvavb: Av‡cwÿK Av`a©Zv AcwiewZ©Z †i‡L evqyi ZvcgvÎv Kgv‡j wkwkiv1⁄4 cwiewZ©Z n‡e| †Kbbv Av‡cwÿK Av`a©Zv aaæe ivL‡Z n‡j evqy‡Z Dcw ̄’Z Rjxqev‡®úi cwigvY Kgv‡Z n‡e| AZtci ZvcgvÎv n«vm Ki‡Z n‡e| (20 – 8)C ZvcgvÎv n«vm cvIqvi d‡j m¤ú„3 ev®úPvc n«vm cvq (17.54 – 8.05) mm  4C ZvcgvÎv n«vm cvIqvi d‡j m¤ú„3 ev®úPvc n«vm cvq 17.54 – 8.05 20 – 8  4 = 3.16 mm  16C ZvcgvÎvq m¤ú„3 ev®úPvc = 17.54 – 3.16 = 14.38 mm (Hg)  R = f F  100%  44.11% = f 14.38  f = 6.343 mm (Hg) (8.05 – 7.53) mm m¤ú„3 ev®úPvc n«vm †c‡j ZvcgvÎv n«vm cvq (8 – 7)C  (7.53 – 6.343) mm m¤ú„3 ev®úPvc n«vm †c‡j ZvcgvÎv n«vm cvq = 8 – 7 8.5 – 7.53  (7.53 – 6.343) = 1.224C  bZzb wkwkivs1⁄4 = (7.53 – 1.224)C = 6.306C (Ans.) 6| †Kv‡bv GKw`b XvKvi ZvcgvÎv 25C Ges wkwkiv1⁄4 15.7C| H w`b KzqvKvUvq ivLv GKwU wm3 I ïé evj&e Av‡cwÿK Av`a©ZvgvcK h‡š¿ wm3 evj&e _v‡g©vwgUv‡ii ZvcgvÎv 20.1| 25C ZvcgvÎvq †MøBmv‡ii Drcv`K 1.7| 15C, 16C, 20C, 22C I 25C ZvcgvÎvq m¤ú„3 Rjxq ev®úPvc h_vμ‡g 12.8 mmHgP, 13.63 mmHgP, 17.554 mmHgP, 19.83 mmHgP I 23.8 mmHgP| [P. †ev. 23] (K) Pvj©m-Gi m~ÎwU †jL| (L) †Kv‡bv A‡j Kzqvkv †Kb c‡o? e ̈vL ̈v K‡iv| (M) XvKvi Av‡cwÿK Av`a©Zv †ei K‡iv| mgvavb: 1C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq (13.63 – 12.8) mm  0.7C ZvcgvÎv e„wׇZ m¤ú„3 ev®úPvc e„w× cvq 13.63 – 12.8 1  0.7 = 0.581 mm  15.7C ZvcgvÎvq m¤ú„3 ev®úPvc = 12.8 + 0.581 = 13.381 mm (Hg)  Av‡cwÿK Av`a©Zv, R = f F  100% = 13.381 23.8  100% = 56.22% (Ans.) (N) D3 w`‡b XvKv Ges KzqvKvUvi g‡a ̈ †Kvb AÂj †ewk Avivg`vqK? MvwYwZK e ̈vL ̈v K‡iv| mgvavb: Avgiv Rvwb, †MøBmv‡ii Drcv`K, G = 1 –  1 – 2  1.7 = 25 –  25 – 20.1   = 16.67C (16 – 15)C ZvcgvÎv e„w×i Rb ̈ m¤ú„3 ev®úPvc e„w× cvq (13.63 – 12.8) mm  0.67C ZvcgvÎv e„w×i Rb ̈ m¤ú„3 ev®úPvc e„w× cvq = 13.63 – 12.8 16 – 15  0.67 = 0.5561 mm  16.67C ZvcgvÎvq m¤ú„3 ev®úPvc = 13.63 + 0.5561 = 14.1861 mm (Hg)  R2 = f F  100%  R2 = 14.1861 23.8  100%  R2 = 59.6% G‡ÿ‡Î XvKvi Av‡cwÿK Av`a©Zv (56.22%) < KzqvKvUvi Av‡cwÿK Av`a©Zv (59.6%)|  XvKvi AvenvIqv KzqvKvUv A‡cÿv AwaK Avivg`vqK| (Ans.)
4  HSC Physics 1st Paper Chapter-10 7| GKRb AvenvIqvwe` •`wbK cÖwZ‡e`b •Zwii Rb ̈ GKw`b XvKv Ges ivRkvnx‡Z ̄’vwcZ `ywU wm3 I ï®.. evj¦ Av`a©Zv gvcK h‡š¿i gva ̈‡g wb‡¤œi DcvË ̧‡jv msMÖn Ki‡jb| [e. †ev. 23] ̄’vb ﮋ evj¦ _v‡g©v : cvV wm3 evj¦ _v‡g©v : cvV evqyi ZvcgvÎvq †MøBmv‡ii Drcv`‡Ki gvb XvKv 28.6C 20C 1.664 ivRkvnx 32.5C 22C 1.625 [14C, 16C, 28C, 30C, 32C Ges 34C ZvcgvÎvq m¤ú„3 Rjxqev‡®úi Pvc h_vμ‡g 11.99, 13.63, 28.35, 31.83, 35.66 Ges 39.90 mm Hg| ̄^v‡ ̄’i Rb ̈ Av‡cwÿK Av`a©Zvi ̄^v”Q›` ̈Ki gvb n‡jv 40% †_‡K 60% ch©šÍ|] (K) Av`a©ZvwgwZ Kv‡K e‡j? (L) GKB ZvcgvÎvq wfbœ wfbœ GK †gvj M ̈v‡mi †ÿ‡Î Mo MwZkw3 aaæe _v‡K wK bv? e ̈vL ̈v Ki| (M) H w`b XvKvi wkwkiv1⁄4 KZ wQj? mgvavb: †MøBmv‡ii Drcv`K, G = 1 –  1 – 2  1.664 = 28.6 –  28.6 – 20   = 14.2896C  H w`b XvKvi wkwkiv1⁄4 wQj 14.2896C| (Ans.) (N) DÏxc‡Ki Av‡jv‡K †Kvb e ̈w3 †Kv_vq AwaKZi ̄^w ̄Í †eva Ki‡eb? MvwYwZK we‡kølYc~e©K gZvgZ `vI| mgvavb: XvKvq, (16 – 14)C ZvcgvÎv e„wׇZ m¤ú„3 Rjxqev®ú Pvc e„w× cvq (13.63 – 11.99) mm  0.2896C ZvcgvÎv e„wׇZ m¤ú„3 Rjxqev®ú Pvc e„w× cvq = 13.63 – 11.99 16 – 14  0.2896 = 0.2374 mm  14.2896C ZvcgvÎvq m¤ú„3 ev®úPvc = 11.99 + 0.2374 = 12.2274 mm (Hg) Abyiƒcfv‡e, 28.96C ZvcgvÎvq m¤ú„3 Rjxq ev®úPvc = 28.35 + 31.83 – 28.35 30 – 28  0.6 = 29.394 mm (Hg)  XvKvq Av‡cwÿK Av`a©Zv, R1 = f F  100%  R1 = 12.2274 29.394  100%  R1 = 41.6% ivRkvnx‡Z, †MøBmv‡ii Drcv`K, G = 1 –  1 – 2  1.625 = 32.5 –  32.5 – 22   = 15.4375C  wkwkiv1⁄4 15.4375C ZvcgvÎvq m¤ú„3 Rjxqev®ú Pvc = 11.99 + 13.63 – 11.99 16 – 14  1.4375 = 13.16875 mm (Hg) evqyi ZvcgvÎv 32.5C ZvcgvÎvq m¤ú„3 Rjxqev®ú Pvc = 35.66 + 39.90 – 35.66 34 – 32  0.5 = 36.72 mm (Hg)  ivRkvnx‡Z Av‡cwÿK Av`a©Zv, R2 = f F  100%  R2 = 13.16875 36.72  100%  R2 = 35.862%  XvKvi Av‡cwÿK Av`a©Zv (41.6%) mv”Q›` ̈Ki Av‡cwÿK Av`a©Zvi mxgvi g‡a ̈ _vKvq, XvKvq e ̈w3 AwaKZi ̄^w ̄Í †eva Ki‡eb| (Ans.) 8| `yBRb wkÿv_©x GKwU Øx‡c †eov‡Z w`‡q cvkvcvwk Aew ̄’Z `ywU cyKz‡ii evqy ey`ey` wb¤œiƒc ch©‡eÿY Kij| evqygЇji Pvc = 105 Pa [wm. †ev. 23] cyKz‡ii bvg evqy ey`ey` cvwbi NbZ¡ wgVvcvwbi cyKzi cvwbi Zj‡`k †_‡K DcwiZ‡j Avmvq AvqZb 4 ̧Y nq 1.0  103 kgm–3 jeYv3 cvwbi cyKzi cvwbi Zj‡`k †_‡K DcwiZ‡j Avmvq e ̈vm 2 ̧Y nq 1.1  103 kgm–3 (K) wkwkiv1⁄4 Kx? (L) †Kv‡bv GKwU M ̈v‡mi GKwU AYyi MwZkw3 ZvcgvÎvi mv‡_ Kxfv‡e cwiewZ©Z nqÑ †jLwP‡Îi gva ̈‡g e ̈vL ̈v K‡iv| (M) wgVvcvwbi cyKz‡ii MfxiZv wbY©q K‡iv| mgvavb: Avgiv Rvwb, P1V1 = P2V2  Patm  V1 = (Patm + hg)  V2  105  4V2 = (105 + h  103  9.8)  V2  h = 30.6122 m  wgVvcvwbi cyKz‡ii MfxiZv 30.6122 m| (Ans.) (N) D3 cyKzi `ywU‡Z cvwbi Zj‡`‡ki Pv‡ci ZviZg ̈ MvwYwZKfv‡e we‡kølY K‡iv| mgvavb: wgVvcvwbi cyKz‡ii †ÿ‡Î cvwbi Zj‡`‡k Pvc, P1 = Patm + hg  P1 = 105 + 30.6122  103  9.8  P1 = 4  105 Pa jeYv3 cvwbi cyKz‡ii †ÿ‡Î, awi, cvwbi Zj‡`‡k Pvc P2 P3V3 = P2V2  Patm  V3 V2 = P2  P2 = 105      d3 d2 3 = 105  (2)3 = 8  105 Pa  P2 P1 = 8  105 4  105 = 2  jeYv3 cvwbi cyKz‡ii Zj‡`‡k Pvc, wgVvcvwbi cyKz‡ii Zj‡`‡ki Pv‡ci 2 ̧Y| (Ans.)