Title Newtonian Mechanics - Without Solve ✅

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 †gvU wbDU‡bi e‡ji m~‡Îi g‡a ̈ m¤úK© Ñ 1 1 Ñ Ñ 2 2 6 wbDU‡bi e‡ji Z...Zxq m~‡Îi e ̈envi I fi‡e‡Mi wbZ ̈Zv Ñ Ñ Ñ 1 Ñ Ñ Ñ 1 msNl©- (w ̄’wZ ̄’vcK msNl© I Aw ̄’wZ ̄’vcK msNl©) Ñ Ñ Ñ 1 Ñ 1 1 3 RoZvi åvgK I †KŠwYK fi‡eM Ñ 1 1 3 7 3 2 17 †KŠwYK ivwkgvjv (miY, †eM, Z¡iY, fi‡eM, MwZkw3) 2 5 Ñ 3 4 2 Ñ 16 UK© 1 Ñ Ñ 1 Ñ Ñ Ñ 2 †K›`agyLx I †K›`awegyLx ej Ñ 1 Ñ Ñ 1 3 2 7 iv ̄Ívi e ̈vswKs 2 2 1 2 6 3 4 20 * we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| 5 m cÖk ̄Í GKwU iv ̄Ívi GKwU wbw`©ó ̄’v‡bi euv‡Ki eμZvi e ̈vmva© 80 m| iv ̄Ívi Dfq cv‡ki D”PZvi cv_©K ̈ 0.4 m| euvK AwZμ‡gi c~‡e© GKwU Mvwo 54 kmh–1 †e‡M PjwQj| [Xv. †ev. 23] (K) cÖZ ̈qbx ej Kv‡K e‡j? (L) GKRb bZ©Kx bvPvi mgq nvZ msKzwPZ Ki‡j N~Y©‡b Kx myweav cvq? e ̈vL ̈v K‡iv| (M) euv‡Ki ̄’v‡b iv ̄Ívi e ̈vswKs †KvY wbY©q K‡iv| DËi: 4.588 (N) DÏxcK Abyhvqx MvwowU D3 †e‡M wbivc‡` euvK wb‡Z cvi‡e wK? MvwYwZKfv‡e we‡kølY K‡iv| DËi: vm = 7.931 ms–1 MvwowU wbivc‡` evK wb‡Z cvi‡e bv| 2| 400 kg f‡ii GKwU Mvwo 60 kmh–1 mg‡e‡M 10 †Kv‡Y bZ Zj eivei Dc‡i D‡V| [Nl©Y ̧Yv1⁄4  Gi gvb 0.3 Ges g Gi gvb 9.8 ms–2 ] [Xv. †ev. 23] (K) WvBfvi‡RÝ Kv‡K e‡j? (L) GKwU w ̄úas-†K LwÐZ Ki‡j Gi aaæeK cwieZ©b n‡e wK? e ̈vL ̈v K‡iv| (M) Mvwoi Dci wμqvkxj weiæ× e‡ji gvb wbY©q K‡iv| DËi: 1838.83 N (N) Mvwoi Bwćbi ÿgZv KZ n‡j MvwowU mg‡e‡M bv P‡j eis Z¡iY cÖvß n‡e? MvwYwZK we‡kølY `vI| DËi: P > 30647.246 W n‡j MvwowU mg‡e‡M bv P‡j eis Z¡iY cÖvß n‡e| 3| GKwU e„ËvKvi PvKwZ Gi Z‡ji mv‡_ ga ̈we›`yMvgx j¤^ Aÿ AB mv‡c‡ÿ wPÎ-1 Abyhvqx Nyi‡Q| Avevi wPÎ-2 Abyhvqx PvKwZwUi mv‡_ j¤^fv‡e ̄’vwcZ XY A‡ÿi mv‡c‡ÿ Nyi‡Q| [iv. †ev. 23] m = 2 kg r = 0.5 m h = 0.25 m B G A Y G X h (K) RoZvi åvgK Kv‡K e‡j? (L) e„ËvKvi c‡_ euvK cvi nIqvi mgq GKRb mvB‡Kj Av‡ivnx †n‡j hvq †Kb? (M) 1g wP‡Î PμMwZi e ̈vmva© wbY©q Ki| DËi: 1 2 2 m (N) †Kvb A‡ÿi mv‡c‡ÿ PvKwZwU Nyiv‡bv mnR n‡e? MvwYwZK we‡køl‡Y gva ̈‡g gZvgZ `vI| DËi: I2 > I1 (ZvB wPÎ-1 Abyhvqx Nyiv‡bv †ewk mnR n‡e|) 4| 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
2  HSC Physics 1st Paper Chapter-4 5| 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| 6| 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| 7| 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| 8| 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 9| 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| 10| 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| 11| [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|
wbDUwbqvb ejwe` ̈v  Final Revision Batch 3 12| 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| 13| 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 14| 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| 15| 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 16| 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| 17| 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| 18| 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_©|
4  HSC Physics 1st Paper Chapter-4 19| GKRb e ̈w3 300 MÖvg f‡ii GKwU e ̄‘‡K 70 cm •`‡N© ̈i GKwU iwki GK cÖv‡šÍ †eu‡a Abyf~wgK Z‡j e„ËvKvi c‡_ cÖwZ wgwb‡U 60 evi Nyiv‡”Q| nVvr e ̄‘wUi GK-Z...Zxqvsk Ly‡j c‡o †M‡j wZwb ZvrÿwYKfv‡e iwki •`N© ̈ 10 cm Kwg‡q Ges cÖwZ wgwb‡U N~Y©b msL ̈v 10 evi e„w× K‡i e ̄‘i Aewkóvsk‡K Nyiv‡Z _v‡Kb| [w`. †ev. 22] (K) e‡ji NvZ Kv‡K e‡j? (L) wμqv I cÖwZwμqv ej ci ̄úi‡K cÖkwgZ K‡i bvÑ e ̈vL ̈v Ki| (M) cÖv_wgK Ae ̄’vq e ̄‘wUi †KŠwYK fi‡eM wbY©q Ki| DËi: 0.924 kgm2 s –1 (N) cwiewZ©Z Ae ̄’vq iwki Dci cÖhy3 Uv‡bi Kxiƒc cwieZ©b Ki‡Z n‡e? MvwYwZKfv‡e we‡kølY Ki| DËi: 1.842 N (n«vm) 20| [h. †ev. 22] P O  0.5 m  Q A B Dc‡ii wP‡Îi miæ I mylg `‡Ði •`N© ̈ AB = 1m Ges fi 2kg. `ÐwU Zvi •`‡N© ̈i mv‡_ j¤^fv‡e MgbKvix PQ A‡ÿi mv‡c‡ÿ mylg †KŠwYK †e‡M N~Y©vqgvb| (K) e‡ji NvZ Kv‡K e‡j| (L) mg‡e‡M DVvbvgv Kiv wjd&‡Ui hvÎxi IR‡bi cwieZ©b nq bv †Kb? e ̈vL ̈v Ki| (M) DÏxc‡Ki `ÐwUi RoZvi åvgK wbY©q Kiv| DËi: 1 6 kgm2 (N) DÏxc‡Ki `ÐwUi N~Y©b Aÿ ga ̈we›`y O †_‡K cÖv‡šÍi A we›`y‡Z ̄’vbvšÍi n‡j PμMwZi e ̈vmv‡a©i Kxiƒc cwieZ©b n‡e? MvwYwZKfv‡e e ̈vL ̈v Ki| DËi: 0.288 m 21| 60 kmh–1 MwZm¤úbœ GKwU †Uab 328 m e ̈vmva©wewkó †ij jvB‡b euvK †bqvi mgq jvBbPz ̈Z n‡q ewMmn D‡ë hvq| `yN©Ubv ̄’‡j jvB‡bi cvZ؇qi ga ̈eZ©x `~iZ¡ 1 m Ges †fZ‡ii cvZ A‡cÿv evwn‡ii cvZwUi D”PZv wQj 7 cm| [g. †ev. 22] (K) UK© Kx? (L) †Kv_vq ej cÖ‡qv‡M `iRv `aæZ Lyj‡eÑ e ̈vL ̈v Ki| (M) D3 ̄’v‡b iv ̄Ívi e ̈vswKs †Kvb wbY©q Ki| DËi: 4.01 †KvY (N) †ij `yN©Ubvi KviY MvwYwZKfv‡e e ̈vL ̈v Ki| DËi: AwaK MwZi Kvi‡Y| (v > v) 22| GKwU AvqZvKvi `Ð hvi •`N© ̈ l = 1 m I fi M = 0.5 kg. [Xv. †ev. 21] A B M = 0.5 kg l = 1m  wPÎ (K) MÖvwW‡q›U Kv‡K e‡j? [2q Aa ̈vq] (L) †f±‡ii WvBfvi‡R‡Ýi •ewkó ̈ Kx Kx? [2q Aa ̈vq] (M) `ÐwUi RoZvi åvgK wbY©q Ki| DËi: 0.167 kgm2 (N) hw` `ÐwU‡K 1m e ̈v‡mi cvZjv PvKwZ‡Z cwiYZ Kiv nq Z‡e RoZvi åvg‡Ki †Kv‡bv cwieZ©b n‡e wK? MvwYwZK we‡kølY Ki| DËi: ID = 0.0625 kgm2 , †h‡nZz ID < 0.167 myZivs `ÛwU‡K cvZjv e„ËvKvi PvKwZ‡Z cwiYZ Ki‡j RoZvi åvgK n«vm cv‡e| 23| 4 m cÖ ̄’wewkó GKwU iv ̄Ívi GKwU ̄’v‡bi euv‡Ki e ̈vmva© 100 m Ges iv ̄Ívi Dfq cv‡ki D”PZvi cv_©K ̈ 0.5 m| euvK AwZμ‡gi c~‡e© GKwU Mvwo 60 kmh–1 †e‡M PjwQj| [Xv. †ev. 21] (K) msiÿYkxj ej Kv‡K e‡j? [5g Aa ̈vq] (L) †bŠKvi ̧YUvbvi †ÿ‡Î •eVvi cÖ‡qvRbxqZv Kx? e ̈vL ̈v Ki| [2q Aa ̈vq] (M) euv‡Ki ̄’v‡b iv ̄Ívi e ̈vswKs †KvY wbY©q Ki| DËi: 7.18 (N) DÏxcK Abyhvqx MvwowU D3 †e‡M wbivc‡` Pj‡Z cvi‡e wK-bvÑ MvwYwZK we‡kølYmn gZvgZ `vI| DËi: Vmax = 11.11 ms–1 Mvwoi †eM m‡e©v”P wbivc` †eM A‡cÿv †ewk| myZivs, MvwowU wbivc‡` Pj‡Z cvi‡e bv| 24| AwiZvi fi 40 kg| †m GKwU Nl©Ynxb Dj¤^ A‡ÿi mv‡c‡ÿ Abyf~wgKfv‡e N~Y©vqgvb bvMi‡`vjvi cÖvšÍwe›`y‡Z P‡o 25 m e ̈vmwewkó e„ËvKvi c‡_ cÖwZ wgwb‡U 10 evi Nyi‡Q| AvwiZv ax‡i ax‡i †K‡›`ai w`‡K Avm‡Z _v‡K Ges †K›`a †_‡K 6 m `~‡i GKwU we›`y‡Z †cuŠQvq| [iv. †ev. 21] (K) e„ËvKvi c‡_ e ̄‘i mg‡e‡M Pjv m¤¢e bq †Kb? e ̈vL ̈v Ki| (L) e„ËvKvi c‡_ e ̄‘i mg‡e‡M Pjv m¤¢e bq †Kb? e ̈vL ̈v Ki| (M) cÖvšÍwe›`y‡Z _vKve ̄’vq AvwiZvi •iwLK †eM KZ? DËi: 13.09 ms–1 (N) AvwiZv cÖvšÍwe›`y †_‡K †K‡›`ai w`‡K Avm‡j Zvi †KŠwYK fi‡e‡Mi †Kv‡bv cwieZ©b n‡e wK-bv Zv MvwYwZK we‡kølY‡Yi gva ̈‡g ch©v‡jvPbv Ki| DËi: L1 = 6545 kgm2 s –1 , L2 = 1508 kgm2 s –1 †K‡›`ai w`‡K AMÖmi n‡j fi‡eM n«vm cv‡e|