Title 5. Phy.-1st-Paper-For-FRB-2024_Without Solve- Ridoy 11.01.25- OK.pdf ✅

KvR, kw3 I ÿgZv  Final Revision Batch 1 cÂg Aa ̈vq KvR, kw3 I ÿgZv Work, Energy and Power Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2021 2022 2023 2024 †gvU KvR I kw3 Ñ 2 Ñ 4 2 Ñ 1 1 10 MwZkw3 1 Ñ Ñ Ñ Ñ Ñ 2 Ñ 3 w ̄’wZkw3 ev wefe kw3 Ñ Ñ Ñ 3 Ñ Ñ Ñ 3 6 kw3i wbZ ̈ZvbxwZ ev msiÿYkxjZv Ñ Ñ 1 3 3 4 Ñ Ñ 11 ej I miY Ñ Ñ Ñ 1 Ñ 1 3 Ñ 5 cv¤ú, ÿgZv, Kg©`ÿZv 1 1 1 3 10 3 5 5 29 AwfKl© e‡ji weiæ‡× KvR Ñ Ñ Ñ 1 Ñ 1 1 Ñ 3 MwZ‡eM wbY©q 1 1 Ñ Ñ Ñ 1 Ñ Ñ 3 myZvi Uvb 2 Ñ Ñ Ñ Ñ Ñ Ñ Ñ 2 * we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| Nl©Ynxb Abyf‚wgK Z‡ji Dci GKwU `„p Ae ̄’vb †_‡K GKwU w ̄úas Gi GK cÖvšÍ AvUwK‡q Aci cÖv‡šÍ ej cÖ‡qvM K‡i 5cm msKzwPZ K‡i †Q‡o †`qv n‡jv| G‡Z w ̄úaswU Avw` Ae ̄’vq wd‡i Avmj| [w ̄úas aaæeK K = 120 Nm–1 ] [g. †ev. 24] (K) msiÿYkxj ej Kx? (L) ej I miY ïb ̈ bv n‡jI KvR ïb ̈ n‡Z cv‡i wK? e ̈vL ̈v Ki| (M) w ̄úaswU 2.5cm cÖmvwiZ Ki‡j G‡Z mwÂZ wefe kw3 wbY©q Ki| mgvavb: w ̄úas-G mwÂZ wefekw3 0.0375 J. (Ans.) (N) DÏxc‡K w ̄úas ejwU wK msiÿYkxj ej? MvwYwZKfv‡e e ̈vL ̈v Ki| mgvavb: DÏxc‡Ki w ̄úas ejwU msiÿYkxj ej| (Ans.) 2| GKwU cvwbi U ̈vs‡Ki MfxiZv 20 m Ges e ̈vm 4 m| U ̈vsKwU‡K cvwbk~b ̈ Kivi Rb ̈ GKwU cv¤ú jvMv‡bv n‡jv| cv¤úwU Pvjy Kivi 10 wgwbU ci U ̈vs‡Ki GK PZz_©vsk Lvwj K‡i cv¤úwU bó n‡q †M‡jv| c‡i Ab ̈ Av‡iKwU cv¤ú Øviv U ̈vs‡Ki evwK cvwb k~b ̈ Kiv n‡jv| [cvwbi NbZ¡ 1000 kg m–3 ] [Xv. †ev. 24] (K) Kg© `ÿZv Kx? (L) w ̄úas Øviv K...Z KvR FYvZ¥K nq †Kb? (M) cÖ_g cv¤úwUi ÿgZv wbY©q Ki| mgvavb: 3.44 HP (Ans.) (N) DÏxc‡Ki wØZxq cv¤úwU hw` evwK U ̈vs‡Ki cvwb 20 wgwb‡U k~b ̈ Ki‡Z cv‡i Zvn‡j Dfq cv‡¤úi g‡a ̈ †KvbwUi Ak¦ÿgZv †ewk MvwYwZKfv‡e hvPvB K‡i| mgvavb: Dfq cv‡¤úi g‡a ̈ wØZxq cv‡¤úi Ak¦ÿgZv †ewk| (Ans.) 3| A I B `ywU cvwbc~Y© Kzqv hv‡`i MfxiZv h_vμ‡g 12m I 10m Ges e ̈vm h_vμ‡g 1.8m I 2m| X I Y `ywU cv¤ú hv‡`i Kg©`ÿZv h_vμ‡g 70% I 60%| X cv¤úwU A Kzqv‡K 24 wgwb‡U cvwbk~b ̈ Ki‡Z cv‡i| Y cv‡¤úi ÿgZv 2.4 H.P| [iv. †ev. 24; Abyiƒc e. †ev. 24] (K) MwZkw3 Kv‡K e‡j? (L) k~b ̈ KvR e ̈vL ̈v Ki| (M) X cv¤úwUi ÿgZv wbY©q Ki| mgvavb: X cv¤úwUi cÖK...Z ÿgZv 1781.27 W (Ans.) (N) X I Y cv¤ú Øviv B Kzqv‡K GKB mg‡q cvwbk~b ̈ Kiv hv‡e wK-bv? MvwYwZKfv‡e we‡kølYc~e©K gZvgZ `vI| mgvavb: X I Y cv¤ú Øviv B Kzqv‡K GKB mgq cvwbk~b ̈ Kiv hv‡e bv| (Ans.) 4| wP‡Îi MvwowUi fi 3000 kg Ges ÿgZv 152.18 kW, [g = 9.8 ms–2 ] [h. †ev. 24] 15 (Nl©Y D‡cÿYxq) A C B 500 m (K) Ak¦ ÿgZv Kv‡K e‡j? (L) cÖ`Ë kw3 I Kvh©Ki kw3i e ̈eavb †ewk n‡j h‡š¿i `ÿZv Kg n‡eÑ e ̈vL ̈v Ki| (M) MvwowU A n‡Z B †Z †h‡Z K...Z Kv‡Ri cwigvY wbY©q Ki| mgvavb: MvwowU A n‡Z B †Z †h‡Z K...ZKv‡Ri cwigvc 3.804  106 J| (Ans.) (N) ÒAB iv ̄Ív eivei MvwowUi †eM 72 kmh–1 mxgv AwZμg Kiv m¤¢e bqÓÑ MvwYwZKfv‡e Dw3wUi mZ ̈Zv hvPvB Ki| mgvavb: ÒAB iv ̄Ív eivei MvwowUi †eM 72 kmh–1 mxgv AwZμg Kiv m¤¢e bqÓÑ Dw3wU h_v_©| (Ans.) 5| cvwYc~Y© GKwU †PŠev”Pvi e ̈vmva© 2 wgUvi I D”PZv 20 wgUvi| †PŠev”PvwUi A‡a©K cvwbk~b ̈ Ki‡Z 75% Kg©`ÿZv m¤úbœ GKwU cv‡¤úi 20 wgwbU mgq jv‡M| [w`. †ev. 24] (K) UK© Kv‡K e‡j? (L) msiÿYkxj ej e ̄‘i MwZc‡_i Dci wbf©i K‡i bvÑ e ̈vL ̈v Ki|
2  HSC Physics 1st Paper Chapter-5 (M) cv¤úwUi ÿgZv H.P GKK KZ? mgvavb: cv¤úwUi ÿgZv 9.17 HP (Ans.) (N) †P.ev”Pvi evwK A‡a©K cvwb wb®..vkb ej‡Z cv¤úwUi GKB mgq jvM‡e wK-bv MvwYwZKfv‡e we‡kølY Ki| mgvavb: †PŠev”Pvi evwK A‡a©K cvwb wb®‹vkb Ki‡Z cv¤úwUi GKB mgq jvM‡e bv| (Ans.) 6| O R P Q 5 kg S 30 [wm. †ev., Kz. †ev. 24] (K) GK Ryj Kv‡K e‡j? (L) w ̄úas aaæeK 2200 Nm–1 ej‡Z Kx eySvq? e ̈vL ̈v Ki| (M) P we›`y‡Z wefekw3 wbY©q Ki| mgvavb: P we›`y‡Z wefekw3 2450 J. (Ans.) (N) Q we›`y I R we›`y‡Z DÏxc‡Ki e ̄‘wUi †gvU kw3i AbycvZ 1 A‡cÿv †ewk n‡e wK-bv? MvwYwZKfv‡e we‡kølY Ki| mgvavb: Q Ges R we›`y‡Z DÏxc‡Ki e ̄‘wUi †gvU kw3i AbycvZ 1 A‡cÿv †ewk n‡e bv| (Ans.) 7| 50 kg f‡ii GKRb kÖwgK 20 kg f‡ii GKwU e ̄‘ wb‡q wPÎvbyhvqx Xvj †e‡q Q we›`y‡Z †cuŠQvj| cÖ_‡g PQ c_ e ̈envi Kij| c‡i RQ c‡_ †Mj| Dfq †ÿ‡Î hw` †eM GKB Ges Q we›`y‡Z †eM k~b ̈| Q PQ = 5 m P R 35 55 [P. †ev. 24] (K) GK Ryj Kv‡K e‡j? (L) msiÿYkxj e‡ji wμqvq hvwš¿K kw3 msiwÿZ _v‡KÑ e ̈vL ̈v Ki| (M) P we›`y †_‡K Q we›`y‡Z †cu.Qv‡Z K...Z Kv‡Ri cwigvY wbY©q Ki| mgvavb: P we›`y n‡Z Q we›`y‡Z †cuŠQv‡Z K...ZKv‡Ri cwigvY 1967.36 J. (Ans.) (N) †Kvb c‡_ †m Kg ÿgZv e ̈‡q Q we›`y‡Z †cu.Qv‡Z cvi‡e? MvwYwZK e ̈vL ̈v `vI| mgvavb: PQ c‡_ †m Kg ÿgZv e ̈‡q Q we›`y‡Z †cuŠQv‡e| (Ans.) 8| GKwU cvwbc~Y© Kzqvi MfxiZv 15 m I e ̈vmva© 1 m| KzqvwU cvwbk~b ̈ Kivi Rb ̈ 6 HP ÿgZvi GKwU cv¤ú jvMv‡bv n‡jv| A‡a©K cvwb DVv‡bvi ci cv¤úwU bó n‡q †Mj| evwK cvwb †Zvjvi Rb ̈ GKB ÿgZvm¤úbœ Av‡iv GKwU cv¤ú jvMv‡bv nj| [Xv. †ev. 23] (K) RoZvi åvgK Kv‡K e‡j? (L) †Kv‡bv e ̄‘i MwZkw3i mv‡_ fi‡e‡Mi m¤úK© †jLwP‡Îi mvnv‡h ̈ e ̈vL ̈v K‡iv| (M) cÖ_g cv‡¤úi Øviv K...ZKvR wbY©q K‡iv| DËi: 865903.5 J (N) cv¤ú `ywU Øviv cvwb Zzj‡j mgq GKB jvM‡e wK? MvwYwZK we‡kølY Ki| DËi: t1 = 193.45 s; t2 = 580.36 s; cv¤ú 2wU Øviv cvwb Zzj‡Z GKB mgq jvM‡e bv| 9| [iv. †ev. 23] Aa = 4ms –2 m = 20 kg a = 4ms–2 C B m = 20 kg 45 20 kg f‡ii GKwU e ̄‘‡K wPÎvbyhvqx A we›`y †_‡K B we›`y‡Z DVv‡bv n‡jv| GKB f‡ii Aci GKwU e ̄‘‡K C †_‡K B we›`y‡Z †bqv n‡jv| (K) msiÿYkxj ej Kv‡K e‡j? (L) miY ebvg MwZkw3i †jLwP‡Îi XvjwU ej wb‡`©k K‡iÑ e ̈vL ̈v Ki| (M) cÖ_g †ÿ‡Î Kv‡Ri cwigvY wbY©q Ki| DËi: WAB = 276 h (N) cÖ_g I wØZxq †Kvb †ÿ‡Îi e ̄‘wU‡K wb‡q hvIqv mnR n‡q‡Q? MvwYwZKfv‡e †`LvI| DËi: WCB = 309.1470 h; 1g e ̄‘wU‡K wb‡q hvIqv mnR n‡q‡Q| 10| GKwU KYvi Dci F  = (–5i  – 3j  – 6k  ) ej cÖ‡qvM Kivq KYvwU P(–6, 7, –1) we›`y †_‡K Q(–3, –8, 4) we›`y‡Z ̄’vbvšÍwiZ n‡jv| [iv. †ev. 23; g. †ev. 23] (K) Ae ̄’vb †f±i Kv‡K e‡j? (L) † ̄av‡Zi mv‡_ AvovAvwofv‡e b`x cvwo w`‡Z †b.Kv Kxfv‡e Pvjv‡Z n‡e? e ̈vL ̈v Ki| (M) DÏxc‡Ki KYvwUi miY wbY©q K‡iv| DËi: 3i  – 15j  + 5k  (N) GLv‡b DwjøwLZ ejwU †K›`agyLx ej wQj wKbv? MvwYwZKfv‡e we‡kølY K‡iv| DËi: DÏxc‡Ki ejwU †K›`agyLx ej| 11| GKwU KYvi Dci F  = (2i )  + 3j  – 2k  N ej cÖ‡qvM Kivq P(2, 1, –3) we›`y n‡Z Q (3, –2, 1) we›`y‡Z ̄’vbvšÍwiZ nq| Aci GKwU F  = (–i )  – j  + k  N, F  Gi mv‡_ cÖhy3 n‡q KYvwU‡K P we›`y †_‡K R(–2, 1, 3) we›`y‡Z ̄’vbvšÍwiZ K‡i| [Kz. †ev. 23] (K) hvwš¿K kw3 Kx? (L) Nl©Y ej AmsiÿYkxj ej, e ̈vL ̈v K‡iv| (M) PQ  mi‡Yi Rb ̈ K...ZKvR wbY©q K‡iv| DËi: – 15 GKK (N) PQ  Ges PR  mi‡Yi Dfq‡ÿ‡Î MwZkw3i cwieZ©b mgvb n‡e wKbvÑ MvwYwZK we‡kølYmn gšÍe ̈ K‡iv| DËi: W1  W2 ZvB PQ  Ges PR  mi‡Yi †ÿ‡Î MwZkw3i cwieZ©b mgvb n‡e bv|
KvR, kw3 I ÿgZv  Final Revision Batch 3 12| GKwU cvwbc~Y© K‚‡ci MfxiZv I e ̈vm h_vμ‡g 20 m I 2 m| GKwU cv¤ú 30 min G K‚cwU‡K cvwbk~b ̈ Ki‡Z cv‡i| [g = 9.8 ms–2 ] [h. †ev. 23] (K) KvR-kw3 Dccv` ̈wU †jL| (L) MwZkw3i gvb me©`v abvZ¥K nqÑ e ̈vL ̈v Ki| (M) cv‡¤úi ÿgZv †ei K‡iv| DËi: 3420.85 W (N) K‚cwUi 1g PZzf©vM I 4_© PZz©fvM cvwbk~b ̈ Ki‡Z cÖ‡qvRbxq mg‡qi ZviZg ̈ n‡e wKbv? n‡j †Kgb n‡e wnmve K‡i †`LvI| DËi: t1 = 112.5 s; t2 = 787.5 s; t1 < t2 13| GKwU cvwbc~Y© Kzqvi MfxiZv 10 m Ges e ̈vm 1.5 m| GKwU cv¤ú 25 wgwb‡U KzqvwU‡K cvwb k~b ̈ Ki‡Z cv‡i| wKš‘ GK Z...Zxqvsk cvwb D‡Ëvjb Kivi ci cv¤úwU bó n‡q hvq| c‡i 70% `ÿZvi AviI GKwU cv¤ú hy3 K‡i 30 wgwb‡U evwK cvwb D‡Ëvjb Kiv nq| [e. †ev. 23] (K) cwieZ©bkxj ej Kv‡K e‡j? (L) ÿgZvi •e`y ̈wZK e ̈envwiK GK‡Ki mv‡_ ÿgZvi hvwš¿K e ̈envwiK GK‡Ki m¤úK© †`LvI| (M) 1g cv¤úwU KZ mgqe ̈vcx KvR K‡i Zv wbY©q Ki| DËi: 166.5 s (N) DÏxc‡Ki †Kvb cv¤úwUi ÿgZv †ewk? MvwYwZKfv‡e we‡kølY Ki| DËi: P1 < P2 14| GKwU QvÎvev‡mi cvwbi wiRvf© U ̈vswKs •`N© ̈ 1.6 wgUvi, cÖ ̄’ 1.4 wgUvi Ges MfxiZv 1.2 wgUvi| U ̈vswUi `yB-Z...Zxqvsk cvwb Øviv c~Y© i‡q‡Q| 50 wgUvi DPzu‡Z cvwb †Zvjvi Rb ̈ QvÎvev‡m 5.5 kW ÿgZv m¤úbœ GKwU Zwor †gvUi e ̈envi Kiv nq hvq `ÿZv 80%| A‡a©K cvwb †Zvjvi ci we`y ̈r P‡j †M‡j cv¤úwU eÜ n‡q hvq| we`y ̈r P‡j Avmvq cv¤úwU cybivq Pvjy Kivq U ̈vsKwU cvwb k~b ̈ nq| [wm. †ev. 23] (K) AmsiÿYkxj e‡ji msÁv †jL| (L) 1 wK‡jvIqvU ÿgZv ej‡Z Kx eySvq? e ̈vL ̈v K‡iv| (M) we`y ̈r P‡j hvIqvi c~‡e© cvwb D‡Ëvj‡b e ̈wqZ kw3 wbY©q K‡iv| DËi: 4.44  105 J (N) we`y ̈r P‡j hvIqvi Av‡M ev c‡i †Kvb †ÿ‡Î cvwb D‡Ëvj‡b mgq †ewk jvM‡e? †Zvgvi gZvgZ MvwYwZKfv‡e we‡kølY K‡iv| DËi: t1 = 100.91 s; t2 = 101.785; t2 > t1 15| GKwU w ̄úas Gi Dci 10 N ej cÖ‡qvM Kivq GwU 4 cm cÖmvwiZ nq| w ̄úaswU‡K cÖ_‡g 6 cm Ges cieZ©x‡Z Av‡iv 6 cm cÖmvwiZ Kiv n‡jv| [w`. †ev. 23] (K) Kg©`ÿZv Kx? (L) †K›`agyLx ej Øviv K...Z KvR k~b ̈ nqÑ e ̈vL ̈v K‡iv| (M) w ̄úaswUi w ̄úas aaæeK wbY©q K‡iv| DËi: 250 Nm–1 (N) cÖ_g I wØZxq †ÿ‡Î mgvb cÖmvi‡Yi Rb ̈ Kv‡Ri cwigvY mgvb n‡e wK? MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: W1 = 0.45 J; W2 = 1.35 J; W1  W2 16| GKwU w ̄úas Gi Dci 10 N ej cÖ‡qvM Kivq GwU 4m cÖmvwiZ nq| w ̄úaswU‡K cÖ_‡g 6 cm Ges cieZ©x Av‡iv 6cm cÖmvwiZ Kiv n‡jv| [g. †ev. 23] (K) msiÿYkxj ej Kv‡K e‡j? (L) Ôk~b ̈ KvRÕ cÖhy3 e‡ji w`‡Ki Dci wbf©i K‡iÑ e ̈vL ̈v K‡iv| (M) w ̄úaswUi w ̄úas aaæeK wbY©q K‡iv| DËi: 250 Nm–1 (N) cÖ_g I wØZxq †ÿ‡Î mgvb cÖmvi‡Yi Rb ̈ Kv‡Ri cwigvY mgvb n‡e wK? MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: W1 = 0.45 J; W2 = 1.35 J; W1  W2 17| cvwbc~Y© GKwU Kzqvi MfxiZv 10 m e ̈vm 2 m| KzqvwU‡K cvwbk~b ̈ Kivi Rb ̈ 2 HP ÿgZvi GKwU cv¤ú Pvjy Kiv n‡jv| A‡a©K cvwb k~b ̈ nIqvi ci cv¤úwU bó n‡j 3 HP ÿgZvi Aci GKwU cv¤ú Pvjy K‡i KzqvwU‡K cvwbk~b ̈ Kiv n‡jv| [Xv. †ev, h. †ev. 22] (K) AmsiÿYkxj ej Kv‡K e‡j? (L) mgZ‡j nvuUv A‡cÿv wmuwo w`‡q †nu‡U Dc‡i DVv KóKi|Ñ e ̈vL ̈v Ki| (M) DÏxc‡Ki 1g cv¤úwU wgwb‡U Kx cwigvY cvwb D‡Ëvjb Ki‡e? †ei Ki| DËi: 1826.954 kg (N) DÏxc‡Ki Dfq cv‡¤úi Gÿ‡Î cÖ‡qvRbxq mgq GKB wQ‡jv wKÑ bv? MvwYwZK we‡køl‡Yi gva ̈‡g hvPvB Ki| DËi: t1 = 257.94 s; t2 = 515.88 s; t2 > t1 18| GKwU cvwbc~Y© Kzqvi MfxiZv 12 m Ges e ̈vmva© 1.2 m| GKwU cv¤ú 20 wgwb‡U KzqvwU‡K cvwbk~b ̈ Ki‡Z cv‡i| cv¤úwUi ÿgZv 52% bó n‡jI cv¤úPvjK KzqvwUi m¤ú~Y© cvwb GKB cv¤ú Øviv wØ ̧Y mg‡q Lvwj Kiv m¤¢e e‡j gšÍe ̈ K‡ib| [iv. †ev. 22] D:  v1 v2 (K) AmsiÿYkxj ej Kx? (L) GKwU w ̄úas Gi w ̄úas aaæeK 2.5 Nm–1 ej‡Z Kx eySvq? [Aa ̈vq-8] (M) KzqvwU‡K cvwbk~b ̈ Ki‡Z K...ZKv‡Ri cwigvY wbY©q Ki| DËi: 3192066.662 J (N) DÏxc‡K cv¤úPvj‡Ki gšÍ‡e ̈i h_v_©Zv we‡kølY Ki| DËi: t2 = 41.67 min 19| A 30 C B D E wkïcv‡K© ̄’vwcZ GKwU w ̄øcv‡ii D”PZv BC = 2m Ges †njv‡bv ZjwU 30 †Kv‡Y Xvjy| 25 kg f‡ii GKRb wkï w ̄øcv‡ii kxl© we›`y (B) †_‡K Nl©Ynxbfv‡e w ̄øwcs K‡i f~wg‡Z A we›`y‡Z †cuŠ‡Q| [Kz. †ev. 22] (K) Ak¦ÿgZv Kv‡K e‡j? (L) c„w_ei Pviw`‡K Puv` GKevi Ny‡i Avm‡j K...ZKvR Kxiƒc n‡e? e ̈vL ̈v Ki|
4  HSC Physics 1st Paper Chapter-5 (M) AvbZ w ̄øcv‡ii •`N© ̈ wnmve Ki| DËi: AB = 4 m (N) DÏxcK Abymv‡i w ̄øcv‡ii •`‡N© ̈i GK PZz_©vsk `~iZ¡ (D) I A‡a©K `~iZ¡ (E) AwZμgKv‡j hvwš¿K kw3i cwigvY mgvb n‡e wK bv? MvwYwZKfv‡e hvPvB Ki| DËi: ETD = 490 J; ETE = 490 J 20| 1800 kg f‡ii GKwU Mvwo 60 kg f‡ii GKRb WavBfvimn cv‡ki wP‡Îi AvbZ Zj eivei Bwćbi m‡e©v”P ÿgZv e ̈envi K‡i A we›`y n‡Z B we›`y‡Z †cuŠQv‡Z MvwowU 30 sec mgq †bq| [g = 9.8 ms–2 ] [P. †ev. 22] 30 H A C 100 m (K) Kg©`ÿZv Kx? (L) Òej I miY k~b ̈ bv n‡jI KvR k~b ̈ n‡Z cv‡iÓ e ̈vL ̈v Ki| (M) MvwowUi Bwćbi Ak¦ÿgZv wbY©q Ki| DËi: 40.72 HP (N) DÏxc‡Ki MvwowU Abyf~wgK iv ̄Ívq 10s Gi g‡a ̈ w ̄’ive ̄’v †_‡K 60 kmh–1 †eM AR©b Ki‡Z cvi‡e wKbv Zvi MvwYwZK e ̈vL ̈v Ki| DËi: 8.5 s; hv 10 s A‡cÿv Kg| myZivs, MvwowU Abyf~wgK iv ̄Ívq 10 s Gi g‡a ̈ w ̄’ive ̄’v †_‡K 60 kmh–1 †eM AR©b Ki‡Z cvi‡e| 21| 60 50 m C B A m = 500 kg wP‡Î cÖ`wk©Z MvwowU A we›`y n‡Z 20m/sec †e‡M AC Z‡j bvg‡Q| Mvwoi PvjK †eaK Kivq MvwowU 50 m `~iZ¡ AwZμg K‡i †_‡g hvq| [e. †ev. 22] (K) Ak¦ÿgZv Kv‡K e‡j? (L) ej I miY k~b ̈ bv n‡jI KvR k~b ̈ n‡Z cv‡i Kx? e ̈vL ̈v Ki| (M) Kx cwigvY MwZ cÖwZ‡ivaKvix ej MvwowUi Dci wμqv K‡i wbY©q Ki| DËi: 4450 N (N) DÏxc‡K kw3i msiÿYkxjZvi bxwZ cvwjZ n‡e wK? MvwYwZK hyw3mn gZvgZ `vI| DËi: ETA = 222500 J; W = 222500 J DÏxc‡K kw3i msiÿYkxjZv bxwZ cvwjZ n‡e| 22| cÖwZwU 0.125 m3 AvqZ‡bi Ges 250 kg f‡ii 4wU eøK‡K cici mvwR‡q ̄ͤ¢ •Zwi Kiv n‡jv| [wm. †ev. 22] (K) f~w ̄’i K...wÎg DcMÖn Kv‡K e‡i? [Aa ̈vq-6] (L) jb †ivjvi †Vjv A‡cÿv Uvbv mnR †Kb? e ̈vL ̈v Ki| [Aa ̈vq-2] (M) DÏxc‡K ewY©Z ͇̄¤¢i Dci n‡Z †Kv‡bv GKwU e ̄‘‡K †d‡j w`‡j f~wg n‡Z KZ D”PZvq Gi MwZkw3 wefe kw3i wØ ̧Y n‡e? DËi: 0.667 m (N) ̄ͤ¢wU‡K Avbyf~wg‡Ki mv‡_ 30 †Kv‡Y AvbZ ivL‡Z KvR I DÏxc‡K ewY©Z ̄ͤ¢ •Zwi‡Z Kv‡Ri Zzjbvg~jK MvYwZK we‡kølY `vI| DËi: W = 730 J; W = 4571.7 J; W > W 23| GKwU cvwbc~Y© Kzqvi MfxiZv 14 m Ges e ̈vm 2.4 m| GKwU cv¤ú 22 wgwb‡U KzqvwU‡K cvwbk~b ̈ Ki‡Z cv‡i| wKš‘ GK-Z...Zxqvsk cvwb D‡Ëvjb Kivi ci cv¤úwU bó n‡q hvq| c‡i 70% `ÿZvi Avi GKwU cv¤ú hy3 K‡i 30 wgwb‡U evwK cvwb D‡Ëvjb Kiv nq| [w`. †ev. 22] (K) AmsiÿYkxj ej Kv‡K e‡j? (L) w ̄’wZ ̄’vcK mxgvi g‡a ̈ w ̄úas ej GKwU msiÿYkxj ejÑ e ̈vL ̈v Ki| (M) 1g cv¤úwU KZ mgqe ̈vcx KvR K‡i Zv wbY©q Ki| DËi: 146.5 s (N) †Kvb cv¤úwUi ÿgZv †ewk? MvwYwZKfv‡e we‡kølY Ki| DËi: 2q cv‡¤úi cÖK...Z ÿgZv, P2 = 3063.5 W 1g cv‡¤úi ÿgZv, P1 = 3287.9 W P1 > P2 myZivs, 1g cv‡¤úi ÿgZv †ewk| 24| BP = 0.6m P CQ = 0.3m 1 m Q O A C B 0.6m ivwd` Dc‡ii wPÎ Abyhvqx GKwU 0.2 kg f‡ii e ̄‘ `yjv‡”Q| [g. †ev. 22] (K) Kg©`ÿZv Kx? (L) †Ljbv Mvwo‡Z w ̄úas hy3 Kivi KviY Kx? (M) A we›`y‡Z e ̄‘wUi †eM wbY©q Ki| DËi: v = 1.98 ms–1 (N) DÏxc‡Ki e ̄‘wU kw3i msiÿY m~·K mg_©b K‡i wK- bvÑ MvwYwZKfv‡e e ̈vL ̈v `vI| DËi: ETB = 0.392 J; ETC = 0.392 J; ETA = 0.392 J 25| 4m e ̈vmwewkó GKwU cvwbc~Y© Kzqvq GKwU cv¤ú 5 kg cwb‡K 20 m D”PZvq Zz‡j 10 ms–1 †e‡M wb‡ÿc K‡i| 5 HP ÿgZvi Ab ̈ GKwU cv¤ú cvwbc~Y© Kzqv‡K cvwbk~b ̈ K‡i| [Xv. †ev. 21] (K) AvqZ GKK †f±i Kv‡K e‡j? [2q Aa ̈vq] (L) M ̈v‡mi †eM wbY©‡q r.m.s †eM †bqv nq †Kb? e ̈vL ̈v Ki| [10g Aa ̈vq] (M) 1g cv‡¤úi kw3 wbY©q Ki| DËi: 1230 Joule (N) KzqvwU cvwbk~b ̈ Ki‡Z †Kvb cv¤úwUi Kg mgq jvM‡e? MvwYwZKfv‡e we‡kølY Ki| DËi: KzqvwU cvwbk~b ̈ Ki‡Z 2q cv¤úwUi 1.83 N›Uv jv‡M| GLb 1g cv¤úwUi ÿgZv 5HP Gi †P‡q †ewk n‡j 1g cv¤úwUi KzqvwU cvwbk~b ̈ Ki‡Z Kg mgq jvM‡e Ges Gi ÿgZv 5HP Gi †P‡q Kg n‡j KzqvwU cvwbk~b ̈ Ki‡Z 2q cv¤úwUi Kg mgq jvM‡e|