Tiêu đề 4. P1C4. Phy. For FRB-2024_Without Solve_Ridoy 08.01.25 - OK.pdf ✅

wbDUwbqvb ejwe` ̈v  Final Revision Batch 1 PZz_© Aa ̈vq wbDUwbqvb ejwe` ̈v Newtonian Mechanics Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2021 2022 2023 2024 †gvU wbDU‡bi e‡ji m~‡Îi g‡a ̈ m¤úK© Ñ 1 1 Ñ Ñ 2 2 Ñ 6 wbDU‡bi e‡ji Z...Zxq m~‡Îi e ̈envi I fi‡e‡Mi wbZ ̈Zv Ñ Ñ Ñ 1 Ñ Ñ Ñ Ñ 1 msNl©- (w ̄’wZ ̄’vcK msNl© I Aw ̄’wZ ̄’vcK msNl©) Ñ Ñ Ñ 1 Ñ 1 1 2 5 RoZvi åvgK I †KŠwYK fi‡eM Ñ 1 1 3 7 3 2 2 19 †KŠwYK ivwkgvjv (miY, †eM, Z¡iY, fi‡eM, MwZkw3) 2 5 Ñ 3 4 2 Ñ 3 19 UK© 1 Ñ Ñ 1 Ñ Ñ Ñ 5 7 †K›`agyLx I †K›`awegyLx ej Ñ 1 Ñ Ñ 1 3 2 2 9 iv ̄Ívi e ̈vswKs 2 2 1 2 6 3 4 4 24 * we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| GKwU iv ̄Ívi cÖ ̄’ 3.65 m Ges euv‡Ki e ̈vmva© 170 m| GKwU mZ©KZv †ev‡W© Mvwoi m‡e©v”P MwZmxgi 30 km h–1 wb‡`©wkZ Av‡Q| GKRb evBK PvjK D3 euv‡K 60 km h–1 †e‡M †gvUi evBK Pvjv‡Z B”QzK| (g = 9.81 ms–2 ) [P. †ev. 24] (K) RoZvi åvgK Kv‡K e‡j? (L) GKwU w ̄úas Gi ej aaæeK 2200 Nm–1 ej‡Z Kx eyS? (M) iv ̄Ívi wfZi A‡cÿv evwn‡ii As‡ki D”PZv wbY©q Ki| mgvavb: iv ̄Ívi wfZi A‡cÿv evwn‡ii As‡ki D”PZv 15.18 cm| (N) evBK PvjK ZvrÿwYKfv‡e Kx e ̈e ̄’v MÖnY Ki‡j wbivc‡` euvK AwZμg Ki‡Z cvi‡e? MvwYwZKfv‡e we‡kølY Ki| mgvavb: evBK PvjK ZvrÿwYKfv‡e Dj‡¤^i mv‡_ 7.0756 †Kv‡Y †n‡j co‡j wbivc‡` euvK wb‡Z cvi‡eb| 2| v 500 kg 30 ms–1 0 ms–1 msN‡l©i c~‡e© msN‡l©i c‡i [Kz. †ev. 24] (K) RoZvi åvgK Kv‡K e‡j? (L) †`qv‡j av°v †L‡q ej wcQ‡b wd‡i Av‡m †Kb? e ̈vL ̈v Ki| (M) Dc‡ii wP‡Îi ÔvÕ Gi gvb wbY©q Ki| mgvavb: 21.428 ms–1 (N) msNl©wU wK w ̄’wZ ̄’vcK? MvwYwZKfv‡e we‡kølY Ki| mgvavb: msN‡l© MwZkw3 msiwÿZ _v‡K bv| myZivs msNl©wU Aw ̄’wZ ̄’vcK| 3| 0.5 kg f‡ii †Kv‡bv e ̄‘‡K 80 cm j¤^v GKwU myZvi mvnv‡h ̈ Abyf‚wgK e„ËvKvi c‡_ Nyiv‡bv n‡”Q| e ̄‘wU w ̄’i Ae ̄’v †_‡K mg‡KŠwYK Z¡i‡Y Nyiv Avi¤¢ K‡i 2 wgwbU ci †_‡K cÖwZ wgwb‡U 120 evi Nyi‡Q| [e. †ev. 24] (K) †KŠwYK fi‡eM Kv‡K e‡j? (L) wμqv I cÖwZwμqvi Kvi‡Y †Kv‡bv e ̄‘i mvg ̈ve ̄’vi m„wó nq bv †Kb? e ̈vL ̈v Ki| (M) 2 wgwbU ci e ̄‘wUi Ici Kx cwigvY UK© wμqv Ki‡Q Zvi gvb wbY©q Ki| mgvavb: 2 min ci e ̄‘wUi Dci 0.0335 Nm UK© wμqv Ki‡Q| (N) e ̄‘i Ici Uv‡bi gvb hw` c~‡e©i Uv‡bi wZb ̧Y Kiv nq Zvn‡j †KŠwYK †e‡Mi Kx cwieZ©b n‡e? MvwYwZKfv‡e we‡kølY Ki| mgvavb: e ̄‘i Dci Uv‡bi gvb hw` c~‡e©i Uv‡bi wZb ̧Y Kiv nq Zvn‡j †KŠwYK †eM 9.2 rads–1 e„w× cv‡e| 4| v 500 kg 30 ms–1 0 ms–1 msN‡l©i c~‡e© msN‡l©i c‡i [wm. †ev. 24] (K) RoZvi åvgK Kv‡K e‡j? (L) †`qv‡j av°v †L‡q ej wcQ‡b wd‡i Av‡m †Kb? e ̈vL ̈v Ki| (M) Dc‡ii wP‡Îi ÔvÕ Gi gvb wbY©q Ki| mgvavb: v Gi gvb 21.428 ms–1 (N) DÏxc‡Ki msNl©wU wK w ̄’wZ ̄’vcK? †Zvgvi Dˇii mc‡ÿ hyw3 `vI| mgvavb: msN‡l© MwZkw3 msiwÿZ _v‡K bv| myZivs msNl©wU Aw ̄’wZ ̄’vcK| 5| GKwU •e`y ̈wZK cvLvi RoZvi åvgK 100 kgm–2 cvLvwU cÖwZ wgwb‡U 900 evi †Nv‡i| cvLvwUi myBP eÜ Kivi c‡i 2 wgwbU ci cvLvwU _v‡g| [wm. †ev. 24] (K) †KŠwYK fi‡eM Kv‡K e‡j? (L) euvKv c‡_ AwZ `aæZMvgx Mvwo D‡ë hvq †Kb? e ̈vL ̈v Ki| (M) DÏxc‡Ki ewY©Z cvLvq cÖ‡qvMK...Z UK© wbY©q Ki| mgvavb: cvLvq cÖ‡qvMK...Z UK© 78.54 Nm (N) †_‡g hvIqvi c~‡e© cvLvwUi c‡ÿ 1000 evi †Nviv m¤¢K Kx? MvwYwZK we‡kølYmn †Zvgvi gZvgZ `vI| mgvavb: †_‡g hvIqvi c~‡e© cvLvwUi c‡ÿ 1000 evi †Nviv m¤¢e bq|

wbDUwbqvb ejwe` ̈v  Final Revision Batch 3 14| 500 kg f‡ii GKwU Mvwo 3900 J MwZkw3 wb‡q iv ̄Ívq PjwQj| nVvr MvwowU 120 m e ̈vmv‡a©i GKwU euv‡Ki m¤§yLxb n‡jv| iv ̄Ívq †Kv‡bv e ̈vswKs wQj bv| iv ̄Ívi I Mvwoi PvKvi Nl©Y ̧Yv1⁄4 0.2| [Kz. †ev. 23] (K) PμMwZi e ̈vmva© Kv‡K e‡j? (L) GKRb Av‡ivnx wjd‡U Dc‡i DVvi mgq wb‡R‡K fvix g‡b K‡i, e ̈vL ̈v K‡iv| (M) iv ̄Ívi euv‡K Mvwoi Dci wμqvkxj †K›`awegyLx Z¡i‡Yi gvb wbY©q K‡iv| DËi: 0.13 ms–2 (N) m‡e©v”P †eM wb‡q euvK AwZμg Ki‡Z n‡j PvjK‡K Zvi Mvwoi †e‡M Kx cwigvY cwieZ©b Ki‡Z n‡eÑ MvwYwZK we‡køl‡Yi gva ̈‡g wbY©q K‡iv| DËi: Mvwoi †eM e„w× Ki‡Z n‡e 11.38 ms–1 15| GKwU B‡jKUab GKwU †cÖvU‡bi Pvicv‡k¦© 5.2 × 10–10 m e ̈vmv‡a©i e„ËvKvi c‡_ 6.977 × 105 ms–1 †e‡M AveZ©b Ki‡Q| B‡jKUa‡bi fi 9.1 × 10–31 kg| [h. †ev. 23] (K) UK© Kx? (L) ÒGKK mg‡KŠwYK †e‡M N~Y©vqgvb †Kv‡bv `„p e ̄‘i RoZvi åvgK msL ̈vMZfv‡e Gi †KŠwYK fi‡e‡Mi mgvb|ÓÑ e ̈vL ̈v Ki| (M) DÏxc‡Ki Av‡jv‡K B‡jKUabwUi †KŠwYK fi‡eM KZ? DËi: 3.3 × 10–34 kgm2 s –1 (N) ÒDÏxc‡Ki B‡jKUabwU Kÿc‡_ wbivc‡` Nyi‡Q|ÓÑ Dw3wU mwVK wKbv Zv hvPvB Ki| DËi: B‡jKUabwU Kÿc‡_ wbivc‡` Nyi‡Q| 16| 5000 kg f‡ii GKwU evjyfwZ© UavK NÈvq 72 km †e‡M Pj‡Q| UavK n‡Z cÖwZ †m‡K‡Û 200 gm evjy wQ`a c‡_ c‡o hv‡”Q| †eaK †P‡c 20 min c‡i UavKwU‡K 20 m `~i‡Z¡ _vgv‡bv n‡jv| [h. †ev. 23] (K) UK© Kv‡K e‡j? (L) evjyi ga ̈w`‡q Mvwo Pvjv‡Z mgm ̈v nq †Kb? e ̈vL ̈v K‡iv| (M) hvÎv ïiæi 15 min c‡i Uav‡Ki †e‡Mi gvb †ei K‡iv| (N) UavKwU‡K _vgv‡bvi Rb ̈ cÖ‡qvRbxq e‡ji gvb wnmve Kiv m¤¢eÑ we‡kølY K‡i †`LvI| 17| F  r  m = 20 gm N~Y©biZ e ̄‘i e ̈vmva© †f±i r  = (2i )  + 2j  – k  m Ges ej, F  = (i )  + 4j  – 3k  N. e ̄‘wU ïiæ‡Z 200 rpm G NyiwQj| AZci D3 ej 3s e ̈vcx cÖ‡qvM Kiv nj| [h. †ev. 23] (K) msNl© Kv‡K e‡j? (L) MwZkxj wjd‡U e ̄‘i Kvh©Ki IR‡bi ZviZg ̈ e ̈vL ̈v K‡iv| (M) e ̄‘i Dci wμqvkxj U‡K©i gvb †ei Ki| DËi: 8.06 Nm (N) ej cÖ‡qv‡Mi c~‡e©i I c‡ii ch©vqKvj Zzjbv K‡iv| DËi: Tf = 0.04 s ej cÖ‡qv‡Mi c‡i ch©vqKvj n«vm cv‡e| 18| 3 ms–1 †e‡M 2 kg f‡ii GKwU e ̄‘ 0.5 kg f‡ii Ab ̈ GKwU w ̄’i e ̄‘i m‡1⁄2 †mvRvmywR w ̄’wZ ̄’vcK msN‡l© wjß nq| [e. †ev. 23] (K) wbðj †KvY Kx? (L) •iwLK fi †e‡Mi wbZ ̈Zvi bxwZ‡Z w`‡Ki ̧iæZ¡ Av‡Q wK bv? Av‡jvPbv Ki| (M) msN‡l©i ci w ̄’i e ̄‘i †kl †eM KZ? wbY©q Ki| DËi: 4.8 ms–1 (N) DÏxc‡Ki MwZkxj e ̄‘i fi w ̄’i e ̄‘i f‡ii Zzjbvq A‡bK †ewk n‡j msN‡l©i ci e ̄‘؇qi cwiYwZ Kx n‡e? MvwYwZKfv‡e hvPvB Ki| DËi: v2 = 6 ms–1 19| 2 m cÖk ̄Í Ges 200 m e ̈vmva© wewkó GKwU e ̈vswKs hy3 euvKv c‡_ GKwU Mvwo 50.4 kmh–1 †e‡M P‡j wbivc‡`i euvK wb‡Z cv‡i| [g = 9.8 ms–2 Ges iv ̄Ívi Nl©Y ̧Yv1⁄4  = 0.5] [e. †ev. 23] (K) j ̈vcøvwmqvb Acv‡iUi Kv‡K e‡j? (L) `yB‡qi AwaK †f±‡ii jwä mvgvšÍwi‡Ki m~‡Îi mvnv‡h ̈ wbY©q Kiv hvq wK? e ̈vL ̈v Ki| (M) iv ̄Ívi e ̈vswKs D”PZv wbY©q Ki| DËi: 0.2 m (N) DÏxc‡Ki iv ̄ÍvwU e ̈vswKsnxb n‡j ZLb MvwowU wbivc‡` euvK wb‡Z cvi‡e wK bv? MvwYwZKfv‡e hvPvB K‡i †Zvgvi gZvgZ `vI| DËi: vm = 31.305 ms–1 v < vm nIqvq MvwowU wbivc‡` euvK wb‡Z cvi‡e| 20| 2 kg Ges 3 kg f‡ii `ywU e ̄‘ h_vμ‡g 8.8 ms–1 Ges 1.2 ms–1 †e‡M wecixZ w`K n‡Z G‡m msN‡l©i ci e ̄‘ `ywU GK‡Î wgwjZ n‡q wbw`©ó w`‡K Pj‡Z jvMj| [wm. †ev. 23] (K) PμMwZi e ̈vmva© Kv‡K e‡j? (L) †Kv‡bv Bwćbi `ÿZv 50% ej‡Z Kx eySvq? e ̈vL ̈v K‡iv| (M) mshy3 e ̄‘ `ywUi P‚ovšÍ †eM KZ? DËi: 2.8 ms–1 (N) D3 msNl© w ̄’wZ ̄’vcK bv Aw ̄’wZ ̄’vcKÑ MvwYwZK we‡køl‡Yi gva ̈‡g †Zvgvi gZvgZ `vI| DËi: Ei =79.6 J, Ef = 19.6 J Ei  Ef myZivs msNl©wU Aw ̄’wZ ̄’vcK| 21| [w`. †ev. 23] A P Q 1m B P Q 0.5 kg f‡ii AB `ÐwU PQ Aÿ mv‡c‡ÿ cÖwZ wgwb‡U 60 evi †Nviv‡bv n‡jv| cieZ©x‡Z `ÐwU‡K Gi •`‡N© ̈i mgvb e ̈v‡mi GKwU cvZjv PvKwZ‡Z cwiYZ K‡i PQ Aÿ mv‡c‡ÿ wgwb‡U 70 evi †Nviv‡bv n‡jv| (K) GK wbDUb ej Kx? (L) e ̈vswKs †Kv‡Yi gvb evov‡j iv ̄Ívi euv‡K Mvwo Pvjv‡bvi MwZmxgv ev‡oÑe ̈vL ̈v K‡iv| (M) PvKwZwUi †KŠwYK fi‡eM wbY©q K‡iv| DËi: 0.458 kgm2 s –1 (N) †Kvb †ÿ‡Î N~Y©‡bi Rb ̈ Kg kw3i cÖ‡qvRb n‡eÑ MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: E1 = 3.289 J, E2 = 1.68 J PvKwZwU Nyiv‡Z Kg kw3 cÖ‡qvM Ki‡Z n‡e|
4  HSC Physics 1st Paper Chapter-4 22| 8 m cÖ‡ ̄’i iv ̄Ív w`‡q GKwU Mvwo h_vμ‡g 100 m I 80 m e ̈vmv‡a©i `yBwU euvK AwZμg Ki‡jv| iv ̄Ívi wfZ‡ii I evB‡ii cÖv‡šÍi D”PZvi euvK AwZμg Ki‡jv| iv ̄Ívi wfZ‡ii I evB‡ii cÖv‡šÍi D”PZvi cv_©K ̈ 0.4 m| [g. †ev. 23] (K) PμMwZi e ̈vmva© Kv‡K e‡j? (L) U‡K©i w`K Kxfv‡e wbY©q Ki‡e? (M) DÏxc‡K DwjøwLZ iv ̄Ívi e ̈vswKs †KvY wbY©q K‡iv| DËi: 2.87 (N) MvwowU Dfq euvK wK mgvb †e‡M AwZμg Ki‡Z cvi‡eÑ MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: Mvwoi †eM  6.27 ms–1 n‡j Dfq evK mgvb †e‡M AwZμg Ki‡Z cvi‡e| 23| 1000 kg f‡ii GKwU evm 75000 J MwZkw3 wb‡q Pjvi mgq 100 m e ̈vmva© wewkó GKwU evu‡Ki m¤§yLxb n‡jv| iv ̄Ívi cÖ ̄’ 10 m Ges iv ̄Ívi cÖvšÍ؇qi ga ̈eZ©x D”PZvi e ̈eavb 0.2m. [Xv. †ev. 22] (K) e‡ji NvZ Kv‡K e‡j? (L) big gvwU‡Z jvd w`‡j AvNvZ cvIqvi m¤¢vebv KgÑ e ̈vL ̈v Ki| (M) evmwUi fi‡eM wbY©q Ki| DËi: 12247.45 kgms–1 (N) MwZ‡eM bv Kwg‡q evmwU wbivc‡` evuKwU AwZμg Ki‡Z cvi‡e wK? MvwYwZKfv‡e we‡kølY Ki| DËi: cvi‡e bv 24| 72 kmh–1 †e‡M Pjgvb 1800 kg f‡ii GKwU eo Mvwo mvg‡b `vuwo‡q _vKv 1000 kg f‡ii GKwU †QvU Mvwo‡K wcQb w`K †_‡K m‡Rv‡i av°v w`‡jv| av°vi ci Mvwo `yÕwU GKwÎZ n‡q 60 m wM‡q †_‡g †M‡jv| iv ̄Ívi cv‡k `vuwo‡q _vKv weÁv‡bi QvÎ gvnx, `yN©UbvwU ch©‡eÿY K‡i ejj GwU GKwU Aw ̄’wZ ̄’vcK msNl©| [P. †ev. 22] (K) UK© Kx? (L) iv ̄Ívi evu‡K mvB‡Kj Av‡ivnx‡K †fZ‡ii w`‡K †n‡j evuK wb‡Z nq †Kb? e ̈vL ̈v Ki| (M) DÏxc‡Ki Mvwo `yÕwU _vgv‡Z †h evuav`vbKvix ej wμqvkxj wQj Zvi gvb wbY©q Ki| DËi: 3857.05 N (N) gvnxÕi gšÍ‡e ̈i mZ ̈Zv MvwYwZK we‡køl‡Yi gva ̈‡g hvPvB Ki| DËi: Ei = 360 kJ, Ef = 231.423 kJ Ei  Ef myZivs, msNl©wU Aw ̄’wZ ̄’vcK| 25| GKwU fvwi PvKvi fi 40 kg Ges RoZvi åvgK 4000 kgm2 | PvKvwU cÖwZ wgwb‡U 100 evi Nyi‡Q| ingvb mv‡ne PvKvwU‡K 2 wgwb‡U _vgv‡bvi Rb ̈ 300 Nm evav`vbKvix UK© cÖ‡qvM Kij| [iv. †ev. 22] (K) gnvKl©xq wefe Kx? (L) `iRvi nvZj gv‡S bv †i‡L cÖv‡šÍ ivLv nq †Kb? (M) DÏxc‡K PvKvwUi N~Y©b MwZkw3 wbY©q Ki| DËi: 219324.5 J (N) DÏxc‡K ingvb mv‡ne wbw`©ó mg‡q PvKvwU _vgv‡Z mÿg n‡e wK bv? MvwYwZK we‡køl‡Yi gva ̈‡g †Zvgvi gZvgZ `vI| DËi: mÿg n‡e bv| 26| P I Q `ywU †Mvj‡Ki fi h_vμ‡g 0.025 kg I 0.05kg| P I Q †MvjKØq‡K 2wU c„_K myZvi mvnv‡h ̈ †eu‡a h_vμ‡g 0.909 m I 0.709 m e ̈vmv‡a©i e„ËvKvi c‡_ Avbyf~wgKfv‡e wgwb‡U 30 evi Nyiv‡bv n‡”Q| myZvwU m‡e©v”P 0.275 N ej mn ̈ Ki‡Z cv‡i| [Kz. †ev. 22] (K) U‡K©i msÁv `vI| (L) iv ̄Ívi e ̈vswKs Gi cÖ‡qvRbxqZv e ̈vL ̈v Ki| (M) P †Mvj‡Ki †KŠwYK fi‡eM KZ? DËi: 0.065 kgm2 s –1 (N) P I Q †Mvj‡Ki myZvi g‡a ̈ †Kvb myZvwU wQu‡o hv‡e? MvwYwZfv‡e we‡kølYc~e©K hyw3 `vI| DËi: T1 < 0.275 Ges T2 > 0.275 myZivs Q †Mvj‡Ki myZvwU wQ‡o hv‡e| 27| wb‡Pi DÏxcKwU jÿ ̈ Ki|: [wm. †ev. 22] A B C 60 100 gm f‡ii GKwU cv_iLЇK 4 ms–1 †e‡M Dj¤^Z‡j Dcwi ewY©Z wPÎ g‡Z 1 m e ̈vmv‡a©i e„ËvKvi c‡_ Nyiv‡bv n‡”Q| (K) Kv‡j©i msÁv `vI| (L) B ̄úvZ ivevi A‡cÿv †ewk w ̄’wZ ̄’vcKÑ e ̈vL ̈v Ki| (M) N~Y©biZ e ̄‘wUi ch©vqKvj wbY©q Ki| DËi:  2 s (N) DÏxc‡K ewY©Z A, B I C we›`y ̧‡jvi g‡a ̈ †KvbwU‡Z myZvi Uvb me‡P‡q †ewk n‡e? MvwYwZK we‡køl‡Yi gva ̈‡g wba©viY Ki| DËi: TA = 0.62 N, TB = 2.58 N, TC = 2.09 N B Ae ̄’v‡b Uvb me‡P‡q †ewk| 28| MÖv‡gi GKwU mgZj iv ̄Ívi GK RvhMvq 3m e ̈vmv‡a©i GKwU euvK i‡q‡Q| GKRb mvB‡Kj Av‡ivnx 20 kmh–1 †e‡M †n‡j mvB‡Kj Pvwj‡q evuK AwZμg Kij| bv †n‡j GKRb mvB‡Kj Av‡ivnx †hb wbivc‡` evuK AwZμg Ki‡Z cv‡i †m e ̈vcv‡i evu‡K GKwU mZK©xKiY †cø‡U m‡e©v”P MwZmxgv 6 kmh–1 D‡jøL Av‡Q| [iv ̄Ívi euv‡K e ̈vswKs Kiv wQj bv Ges Uvqvi I iv ̄Ívi w ̄’wZ Nl©Y ̧Yv1⁄4 0.1 Ges g = 10ms–2 ] [e. †ev. 22] (K) PμMwZi e ̈vmva© Kx? (L) †h †gŠwjK ej Nl©Y ej m„wó K‡i Zvi mswÿß eY©bv `vI| (M) mvB‡Kj Av‡ivnx KZ †Kv‡Y †n‡j mvB‡Kj Pvwj‡q evuK AwZμg K‡iwQj? wbY©q Ki| DËi:  = 45.813 (N) mZK©xKiY †cø‡U DwjøwLZ MwZmxgvi h_v_©Zv hvPvB Ki| DËi: vmax = 6.23 km/hr| ZvB m‡ev©”P MwZmxgv 6 km/hr h_v_©|