Tiêu đề 8. P1C8. Phy. For FRB-2024_Without Solve_Sha 30.03.24 PDF (1).pdf ✅

ch©ve„wËK MwZ  Final Revision Batch 1 Aóg Aa ̈vq ch©ve„wËK MwZ Periodic Motion Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2021 2022 2023 †gvU SHM wewkó KYvi mgxKiY kw3, †gvU hvwš¿K kw3 Ges kw3i msiÿYkxjZv 1 3 Ñ Ñ 1 4 3 12 mij †`vjK 3 5 Ñ 4 8 9 6 35 e ̄‘i †eM Ñ 3 Ñ 1 Ñ 3 Ñ 7 cÖZ ̈qbx ej Ñ 2 Ñ Ñ Ñ 1 Ñ 3 cvnv‡oi D”PZv Ñ 1 Ñ 4 5 4 2 16 w ̄úas, Dj¤^ w ̄úas, Abyf~wgK w ̄úas Ges mgwš^Z w ̄úas Gi †`vjbKvj, w ̄úas Gi kw3 Ñ Ñ Ñ 1 5 2 1 9 *we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| GKwU †m‡KÛ †`vjK †Kv‡bv GKwU cvnv‡oi cv`‡`‡k mwVK mgq †`q| wKš‘ †`vjKwU‡K cvnv‡oi P‚ovq wb‡q †M‡j cÖwZ NÈvq 30 †m‡KÛ mgq ax‡i P‡j| c„w_exi e ̈vmva© 6400 km Ges AwfKl©R Z¡iY 9.8 ms–2 | [Xv. †ev. 23] (K) GKK †f±i Kx? (L) gnvKl©xq wef‡ei gvb FYvZ¥K nq †Kb? e ̈vL ̈v K‡iv| (M) cvnv‡oi P‚ovq †`vjKwUi †`vjbKvj wbY©q K‡iv| DËi: 2.0168 sec (N) DÏxc‡Ki Z‡_ ̈i wfwˇZ cvnvowUi D”PZv wbY©q Kiv hv‡e wKbv, Zv MvwYwZK we‡køl‡Yi gva ̈‡g e ̈v ̈L ̈v K‡iv| DËi: 53.76 km 2| c„w_ex c„‡ô GKwU mij †`vj‡Ki MwZi mgxKiY x = 10 sin     t +  4 | mij †`vjKwU webv evavq `yj‡Q|[iv. †ev. 23] (K) KvwjK chh©vqμg Kx? (L) kxZKv‡j †`vjK Nwo `aæZ P‡j †Kb? e ̈vL ̈v Ki| (M) 2s ci †`vjKwUi Z¡iY †ei Ki| DËi: – 69.789 ms–2 (N) †`vjKwU‡K f~-c„ô n‡Z 100 m Mfx‡i wb‡q †M‡j †`vjb msL ̈vi cwieZ©b n‡e wK? hvPvB Ki| DËi: †`vjbmsL ̈v 0.00156% evo‡e| 3| m f‡ii GKwU e ̄‘‡K c„w_exi †K›`aMvgx GKwU myo‡1⁄2i ga ̈ w`‡q †Q‡o †`qv nj| c„w_exi c„‡ô g = 9.8 ms–1 Ges c„w_exi e ̈vmva© 6.4  106 m. [OP = 5  105 m] [Kz. †ev. 23] m O P R (K) ̄’vwbK ch©ve„wË Kx? (L) mij Qw›`Z MwZm¤úbœ KYvi Z¡iY mi‡Yi wecixZgyLxÑ e ̈vL ̈v K‡iv| (M) P we›`y‡Z AwfKl©R Z¡i‡Yi gvb wbY©q K‡iv| DËi: g = 0.766 ms–1 (N) DÏxc‡K myo1⁄2 c‡_ †Q‡o †`Iqv e ̄‘wUi †`vjbKvj wbY©q Kiv m¤¢e wK-bv? MvwYwZKfv‡e we‡kølY K‡iv| DËi: 5068.64 sec 4| c`v_©weÁvb j ̈v‡e e ̈eüZ GKwU †m‡KÛ †`vj‡Ki MÖx®§Kv‡j •`N© ̈ cvIqvq †`vjbKvj 2.1 s nq| mwVK mgq cvIqvi Rb ̈ GKRb QvÎ Gi •`N© ̈ 2% Kwg‡q †`q| (g = 9.81 ms–2 ) [Kz. †ev. 23] (K) m¤ú›`b MwZ Kv‡K e‡j? (L) ̄ú›`iZ KYvi †g.wjK we ̄Ívi 4 Gi g‡a ̈ ivL‡Z nq †Kb, e ̈vL ̈v K‡iv| (M) ̄^vfvweK Ae ̄’vq †`vjKwUi Kvh©Kix •`N© ̈ wbY©q K‡iv| DËi: 0.993 m (N) DÏxc‡Ki Av‡jv‡K QvÎwU mdj n‡e wK bv MvwYwZKfv‡e hvPvB K‡iv| DËi: T = 2.078 s; QvÎwU mdj n‡e bv| 5| GKwU †cÛzjvg Nwo f‚-c„‡ô cÖwZ †m‡K‡Û 1wU Aa©‡`vjb †`q| wKš‘ cvnv‡oi Dci wb‡q †M‡j •`wbK 100 s mgq nvivq| c„w_exi e ̈vmva© 6400 km Ges c„w_ex c„‡ô AwfKl©R Z¡iY 9.8 ms–2 | [h. †ev. 23] (K) ̄’vwbK ch©vqe„wË Kv‡K e‡j? (L) GKwU f‚w ̄’i DcMÖ‡n w ̄úas fi e ̈e ̄’vq †`vjbKvj †Kgb n‡e? e ̈vL ̈v K‡iv| (M) DÏxc‡Ki Z‡_ ̈i Av‡jv‡K cvnv‡oi D”PZv †ei K‡iv| DËi: cvnv‡oi D”PZv 7.41 km (N) cvnv‡oi Dc‡i †`vjKwU‡K †m‡KÛ †`vj‡K ciYZ Ki‡Z Kx e ̈e ̄’v Ki‡Z n‡e? MvwYwZKfv‡e we‡kølY K‡iv| DËi: •`N© ̈ evov‡Z n‡e 0.23%
2  HSC Physics 1st Paper Chapter-8 6| GKwU †m‡KÛ †`vj‡Ki wmwjÛvi AvK...wZi ee cvwbc~Y© Ae ̄’vq Av‡Q| e‡ii •`N© ̈ 8 cm| [e. †ev. 23] (K) ̄ú›`b MwZ Kv‡K e‡j? (L) mKj ch©vq e„Ë MwZ mij †`vjb MwZ bq †Kb? e ̈vL ̈v Ki| (M) †`vjKwUi Kvh©Kix •`N© ̈ wbY©q Ki| mgvavb: Kvh©Kix •`N© ̈ 0.9929 m (N) eewU A‡a©K Lvwj Ki‡j ZLb †`vjKwU `aæZ bv ax‡i Pj‡e? MvwYwZKfv‡e hvPvB K‡i gZvgZ `vI| DËi: T2 = 2.019 sec; T2 > T1 †`vjbKvj †e‡o †M‡Q gv‡b †`vjKwU ax‡i Pj‡e| 7| GKwU w ̄úas Gi Dci 10 N ej cÖ‡qvM Kivq GwU 4 cm cÖmvwiZ nq| ̄úaxswU‡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 ̈ nqÑe ̈vL ̈v K‡iv| (M) w ̄úaswUi w ̄úas aaæeK wbY©q K‡iv| mgvavb: w ̄úas aaæeK 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 = 1.05 J; W2 = 1.95 J Dfq‡ÿ‡Î Kv‡Ri cwigvY mgvb n‡e bv| 8| ivwb I ewb `yB fvB‡qi fi h_vμ‡g 32 kg Ges 40 kg| Zviv `yRb GKwU †`vjbvq GKB †K.wYK mi‡Y †`vj Lvw”Qj| †`vjbvwUi Mo Kvh©Kix •`N© ̈ 3 m Ges Gi mvg ̈ve ̄’vb A| [g = 9.8 ms–1 ] [w`. †ev. 23] O 1m A B 3m (K) †K.wYK K¤úvsK Kv‡K e‡j? (L) gnvKv‡k GKRb b‡fvPvixi wbKU GKwU †m‡KÛ †`vj‡Ki K¤úvs‡Ki cwieZ©b nqÑe ̈vL ̈v K‡iv| (M) iwbi Dci myZvi Uvb wbY©q K‡iv| DvËi: myZvi Uvb 297.50 N (N) DÏxc‡Ki B Ae ̄’v‡b iwb I ewb mgvb Kvh©Ki ej Abyfe Ki‡jv wKbvÑMvwYwZKfv‡e e ̈vL ̈v K‡iv| DvËi: B Ae ̄’v‡b iwb I ewb mgvb Kvh©Ki ej Abyfe Ki‡ebv| 9| GKwU mij †`vj‡Ki Kvh©Ki •`N© ̈ 1 m Ges 6 cm| †`vjKwU‡K cÖ_‡g P ̄’v‡b wb‡q hvIqv n‡j †`vjbKvj 1.5 sec Ges Gici Q ̄’v‡b wb‡q †M‡j †`vjbKvj 2 sec cvIqv †Mj| [g. †ev. 23] (K) `kv Kv‡K e‡j? (L) Ôw ̄úas ej cÖZ ̈qbx ejÕÑ e ̈vL ̈v K‡iv| (M) †`vj‡Ki mvg ̈ve ̄’v‡b †eM wbY©q K‡iv| DËi: mvg ̈ve ̄’v‡b †eM 0.188 ms–1 (N) †Kvb ̄’v‡bi D”PZv †ewk wQj? MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: r1 = 0.75 r2 Q ̄’v‡bi D”PZv †ewk wQj| 10| `ywU w ̄úas Gi w ̄úas aaæeK K1 = 1000 Nm–1 Ges K2 = 2000 Nm–1 | m = 4.5 kg I m f‡ii `ywU e ̄‘ wPÎ Abymv‡i hy3 †_‡K gm„Y †g‡S‡Z `yj‡Z mÿg| [Xv. †ev. 22] k1 m k2 wPÎ-1 k2 m wPÎ-2 k1 m k2 wPÎ-3 (K) f~w ̄’i DcMÖn Kv‡K e‡j? (L) mij †`vjMwZ ch©ve„ËMwZ; wKš‘ ch©ve„ËMwZ mij †`vjMwZ bqÑ e ̈vL ̈v Ki| (M) DÏxc‡Ki 2bs wP‡Î w ̄úas Gi †K.wYK K¤úv1⁄4 KZ n‡e? DËi: 21.08 rad/s (N) m = 1kg n‡j DÏxc‡Ki 1bs I 3bs wP‡Îi w ̄úas ̧‡jvi ch©vqKvj mgvb n‡eÑ e3e ̈wU hvPvB Ki| DËi: T = 0.243 s; T = 0.243 s 1bs I 3bs wP‡Îi w ̄úas- ̧‡jvi ch©vqKvj mgvb n‡e| 11| GKwU †m‡KÛ †`vjK f~-c„‡ô mwVK mgq †`q| †`vjKwU‡K GKevi f~-c„ô n‡Z 100 km Mfx‡i GKwU we›`y A-†Z †bIqv n‡jv, Avevi f~-c„ô n‡Z 100 km Dc‡i GKwU we›`y B-†Z †bIqv n‡jv| †`vjbKvj ch©‡eÿY K‡i †`Lv †Mj Dfq ̄’v‡bB †`vjK NwowU ax‡i P‡j| [c„w_exi e ̈vmva© R = 6.4 × 106m; f~-c„‡ô 9 = 9.8 ms–2 ] [P. †ev. 22] (K) †K.wYK K¤úv1⁄4 Kv‡K e‡j? (L) GKwU duvcv †MvjK wcЇK Zij Øviv Aa©c~Y© Ki‡j Gi ch©vqKv‡ji Dci Kx cÖfve co‡e? e ̈vL ̈v Ki| (M) DÏxc‡Ki †`vjKwUi myZvi •`N© ̈ 99 cm n‡j Gi e‡ei e ̈vmva© KZ? DËi: myZvi •`N© ̈ 99 cm n‡j Gi e‡ei e ̈vmva© 0.29 cm (N) A I B we›`y؇qi g‡a ̈ †Kvb we›`y‡Z †`vjK NwowU AwaKZi ax‡i Pj‡e? Zv †`vjbKvj wbY©qc~e©K gZvgZ `vI| DËi: T1 = 2.016 s B we›`y‡Z NwowU AwaKZi ax‡i Pj‡e| 12| `yBwU †m‡KÛ †`vj‡Ki e‡ei fi h_vμ‡g 80 gm I 110 gm| ivqnvb I cv‡fj c„_Kfv‡e †`vjK `ywU‡K 12 cm we ̄Ív‡i `yj‡Z w`j| ivqnvb gšÍe ̈ Kij Zvi †`vjKwU †ewk kw3 AR©b Ki‡e| [iv. †ev. 22] (K) †m‡KÛ †`vjK Kx? (L) mxmvi AvqZb ̧Yv1⁄4 1.6 × 1010 Nm–2 ej‡Z Kx eyS? (M) mvg ̈ve ̄’vb n‡Z 10 cm `~‡i cv‡f‡ji †`vjKwUi †eM wbY©q Ki| DËi: cv‡f‡ji †`vjKwUi †eM 0.208 m/s (N) DÏxc‡K ivqnv‡bi gšÍ‡e ̈i mwVKZv hvPvB Ki| DËi: E2 = E1  1.375 ivqnv‡bi gšÍe ̈wU wVK bq|
ch©ve„wËK MwZ  Final Revision Batch 3 13| bvwdm c`v_©weÁvb cixÿvMv‡i 550 gm f‡ii GKwU e ̄‘‡K GKwU SzjšÍ myZvi GKcÖv‡šÍ †eu‡a †`vj w`‡q †`Lj †h, GwU 5 †m‡K‡Û 3 evi ̄úw›`Z n‡”Q| †`vj‡bi †Kv‡bv GK mgq e ̄‘wUi miY 6 cm Ges †`vj‡bi we ̄Ívi 11 cm| [Kz. †ev. 22] (K) ch©ve„Ë MwZ Kx? (L) c„w_ex wbR A‡ÿi mv‡c‡ÿ mg`aæwZ‡Z AveZ©biZ n‡jI m~‡h©i Pvicv‡k bqÑ e ̈vL ̈v Ki| (M) DÏxc‡K DwjøwLZ miYKv‡j e ̄‘wUi †eM wbY©q Ki| DËi: e ̄‘wUi †eM 0.348 ms–1 (N) DwjøwLZ mi‡Yi Rb ̈ e ̄‘wUi Dci wμqvkxj ej e ̄‘i IRb A‡cÿv Kg wKbv? MvwYwZKfv‡e hvPvB Ki| DËi: F = 4.518 N; W = 5.39 N e ̄‘wUi Dci wμqvkxj ej e ̄‘i IRb A‡cÿv Kg| 14| wb‡Pi DÏxc‡K GKwU mij †`vjMwZ m¤úbœ KYvi kw3 ebvg mi‡Yi †jLwPÎ †`Iqv n‡jv: †gvU kw3  –12 cm 100J R     O 4 cm 12 cm kw3 wefe kw3 A MwZ kw3 miY Q S P [wm. †ev. 22] (K) wkwkiv1⁄4 Kv‡K e‡j? (L) M ̈v‡mi MwZZË¡ e‡q‡ji m~·K mg_©b K‡i wK? e ̈vL ̈v Ki| (M) A we›`y‡Z KYvwUi miY wbY©q Ki| DËi: A we›`y‡Z KYvwUi miY 0.085 m (N) DÏxc‡K ewY©Z Z_ ̈g‡Z P, Q Ges R we›`y‡Z kw3i wbZ ̈Zv m~ÎwU cÖ‡hvR ̈ wKbvÑ Zv MvwYwZKfv‡e we‡kølY Ki| DËi: P, Q Ges R we›`y‡Z kw3i wbZ ̈Zv m~ÎwU cÖ‡hvR ̈| 15| GKwU Av`k© w ̄úas Gi kw3i cwieZ©b †jLwP‡Î †`Lv‡bv n‡jv: [e. †ev. 22] kw3 32 J 18 J Q P 8 J –A O A 8 cm   (K) `kv Kx? (L) mij Qw›`Z ̄ú›`b ej‡Z Kx eyS? (M) w ̄úaswUi w ̄úas aaæeK wbY©q Ki| DËi: k = 40000 N/m (N) P Ges Q we›`y‡Z w ̄úaswUi †e‡Mi gv‡bi Zzjbv Ki| DËi: vP = 1.309 vQ P we›`y‡Z †eM Q we›`y‡Z †e‡Mi gv‡bi 1.309 ̧Y| 16| f~-c„‡ô GKwU †m‡KÛ †`vjK mwVK mgq †`q| GwU‡K GKwU LwbM‡f© wb‡q †M‡j •`wbK 20 sec ax‡i P‡j| wKš‘ GKwU cvnv‡oi kx‡l© wb‡q †M‡j •`wbK 1 wgwbU (GK wgwbU) ax‡i P‡j| c„w_exi e ̈vmva© 6400 km| [w`. †ev. 22] (K) w ̄úas aaæeK Kv‡K e‡j? (L) K¤úbkxj myikjvKvi evûi ̄ú›`b GKwU mij Qw›`Z ̄ú›`bÑ e ̈vL ̈v Ki| (M) DÏxc‡K †`vjKwUi Kvh©Ki •`N© ̈ wbY©q Ki| DËi: 0.9929 m (N) Lwbi MfxiZv I cvnv‡oi D”PZv MvwYwZKfv‡e Zzjbv Ki| DËi: h1 = 2942.985 m; h2 = 4447.533 m h1 h2 = 0.662; Lwbi MfxiZv cvnv‡oi D”PZvi 0.662 ̧Y| 17| GKwU †m‡KÛ †`vjK‡K cvnv‡oi cv`‡`k †_‡K P~ovq wb‡q hvIqv n‡j w`‡b 50 sec mgq nvivq| c„w_exi e ̈vmva© 6400 km, AwfKl©R Z¡iY 9.8 ms–2 . [h. †ev. 22] (K) ch©vqKvj Kv‡K e‡j? (L) GKwU w ̄úas‡qi w ̄úas aaæeK 2.5 Nm–1 ej‡Z Kx eySvq? (M) DÏxc‡Ki cvnv‡oi P~ovq mij †`vj‡Ki †`vjbKvj wbY©q Ki| DËi: Tu = 2.00115808 s (N) Kx †K.kj Aej¤^b Ki‡j DÏxc‡Ki †`vjKwU cvnv‡oi P~ovqI †m‡KÛ †`vj‡Ki b ̈vq AvPiY Ki‡e? MvwYwZK hyw3mn DËi `vI| DËi: hw` Kvh©Ki •`N© ̈ 0.9929 m n‡Z Kwg‡q 0.9917 m Kiv nq| 18| O BP = 0.6m CQ = 0.3m B C A P Q 1m 0.6m [g. †ev. 22] ivwd` Dc‡ii wPÎ Abyhvqx GKwU 0.2 kg f‡ii e ̄‘ `yjv‡”Q (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: vmax = 1.88 m/s (N) DÏxc‡Ki e ̄‘wU kw3i msiÿY m~·K mg_©b K‡i wK- bvÑ MvwYwZKfv‡e e ̈vL ̈v `vI| DËi: EA = 0.353 J; EB = 0.353 J; 0.353 J kw3i msiÿY m~·K mg_©b Ki‡e|
4  HSC Physics 1st Paper Chapter-8 19| GKwU †m‡KÛ †`vjK f~-c„‡ô mwVK mgq †`b| kvgxg †`vjKwU DcMÖ‡n wb‡q †Mj, hvi e ̈vmva© c„w_exi e ̈vmv‡a©i 1 4 ̧Y Ges fi c„w_exi f‡ii 1 50 ̧Y| c„w_exi fi 5.99 × 1024 kg| [g. †ev. 22] (K) †m‡KÛ †`vjK Kx? (L) kxZKv‡j †`vjK Nwo `aæZ bv ax‡i P‡jÑ e ̈vL ̈v Ki| (M) DcMÖnwUi c„‡ô AwfKl©R Z¡iY wbY©q Ki| DËi: DcMÖnwUi c„‡ô AwfKl©R Z¡iY 3.136 ms–2 (N) Ô†`vjKwU DcMÖ‡ni c„‡ô c„w_exi Zzjbvq ax‡i P‡jÕÑ MvwYwZK we‡køl‡Yi gva ̈‡g Dw3wUi h_v_©Zv hvPvB Ki| DËi: T = 3.535 s †`vjKwU DcMÖ‡ni c„‡ô f‚-c„‡ôi Zzjbvq ax‡i Pj‡e| 20| c„w_ex c„‡ô GKwU mij †`vj‡Ki m~Zvi •`N© ̈ 99 cm Ges e‡ei e ̈vm 0.6 cm| †`vjKwU‡K g1⁄2j MÖ‡n wb‡q hvIqv nj| g1⁄2j MÖ‡ni fi c„w_exi f‡ii 0.11 ̧Y Ges e ̈vmva© c„w_exi e ̈vmv‡a©i 0.532 ̧Y| [Xv. †ev. 21] (K) Av‡cwÿK Av`a©Zv Kv‡K e‡j? [10g Aa ̈vq] (L) fi‡eM I MwZkw3i g‡a ̈ m¤úK© †jLwPÎ w`‡q e ̈vL ̈v Ki| [5g Aa ̈vq] (M) c„w_ex c„‡ô †`vjKwUi K¤úv1⁄4 wbY©q Ki| DËi: †`vjKwUi K¤úv1⁄4 0.5 Hz (N) DÏxc‡Ki Av‡jv‡K †`vjKwUi K¤úv‡1⁄4i kZKiv cwieZ©b MvwYwZKfv‡e we‡kølY Ki| DËi: K¤úv‡1⁄4 37.6% n«vm cv‡e| 21| GKwU †m‡KÛ †`vjK f~-c„‡ô mwVKmgq †`q| †`vjKwU‡K ivOvgvwUi GK cvnv‡oi Dci wb‡q†M‡j cÖwZw`b 25 †m‡KÛ mgq nvivq| (f~-c„‡ô AwfKl©RZ¡iY 9.8 ms–2 ) [iv. †ev. 21] (K) mij Qw›`Z ̄ú›`b MwZi msÁv `vI| (L) KvwjK ch©vqe„wË e ̈vL ̈v Ki| (M) cvnvowUi D”PZv wbY©q Ki| DËi: cvnvowUi D”PZv 1852.4 m (N) ÒcvnvowU‡Z †`vjbKvj f~-c„‡ôi b ̈vq †c‡Z n‡j Kx e ̈e ̄’v MÖnY Ki‡eÓÑ MvwYwZKfv‡e we‡kølY Ki| DËi : – 0.058% †`vj‡Ki myZvi Kvh©Kix •`N© ̈ 0.058% Kgv‡j cvnvowU‡Z †`vjKwUi †`vjbKvj f~-c„‡ôi b ̈vq n‡e| 22| AZ ̈vwaK VvÐvi Kvi‡Y ‘P’ ̄’v‡b GKwU †m‡KÛ †`vj‡Ki †`vjbKvj Ggbfv‡e cwiewZ©Z n‡jv †h, Bnv w`‡b 15 †m‡KÛ `aæZ P‡j| c‡i GB †`vjKwU‡K GKB ZvcgvÎvi Aci GKwU ̄’vb ‘N’ †Z †bqv n‡jv| P ̄’v‡bi †P‡q N ̄’v‡b AwfKl©xq Z¡iY 5% Kg| [g = 9.8 ms–2 ] [Kz. †ev. 21] (K) ch©vqKvj Kv‡K e‡j? (L) mvg ̈ve ̄’vb n‡Z mi‡Yi cwieZ©‡b GKwU e‡ei †eM Kxfv‡e cwiewZ©Z nq? e ̈vL ̈v Ki| (M) P ̄’v‡b †m‡KÛ †`vjKwUi cwiewZ©Z †`vjbKvj wnmve Ki| DËi: 1.999 s| (N) †`vjKwU‡K ‘N’ ̄’v‡b †m‡KÛ †`vjK wnmv‡e e ̈env‡ii Rb ̈ Kx cwieZ©b Ki‡Z n‡e? MvwYwZK e ̈vL ̈v `vI| DËi: –5% †`vjKwU‡K N ̄’v‡b †m‡KÛ †`vjK wn‡m‡e e ̈env‡ii Rb ̈ Kvh©Kix •`N© ̈ 5% Kgv‡Z n‡e| 23| mij Qw›`Z ̄ú›`‡b ̄ú›`bkxj 0.5 kg f‡ii KYv mvg ̈ve ̄’vb n‡Z 0.015 m †U‡b †Q‡o w`‡j GwU 0.12 m we ̄Ív‡i `y‡j| GwUi e ̈eKjbxq mgxKiY wb¤œiƒc: d 2 x dt2 + 4 2 x = 0 [Kz. †ev. 21] (K) cig Av`a©Zv Kv‡K e‡j? [10g Aa ̈vq] (L) w ̄’wZ ̄’vcK ej Ges AwfKl©xq ej Øviv m¤úvw`Z Kv‡Ri g‡a ̈ cv_©K ̈ e ̈vL ̈v Ki| [5g Aa ̈vq] (M) KYvi `kv aaæeK †ei Ki| DËi: `kv aaæeK 0.1253c (N) t = 1.125 †m‡K‡Û I t = 1.625 †m‡K‡Û hvwš¿K kw3i wbZ ̈Zv hvPvB Ki| DËi: E1 = 0.142 J; E2 = 0.142 J Dfq mg‡q hvwš¿K kw3i wbZ ̈Zv †g‡b P‡j| 24| wP‡Î C we›`y GKwU mKj †`vj‡Ki me©vwaK miY wb‡`©k Ki‡Q| e‡ei fi 20 gm| [h. †ev. 21] 0.2m 0.1m 2m A O B C (K) KvR-kw3 Dccv` ̈wU wee„Z Ki| [5g Aa ̈vq] (L) `ywU GKB f‡ii e ̄‘‡K wfbœ ̄’v‡b f~wg n‡Z GKB D”PZvq ivL‡jv w ̄’wZkw3 wfbœ n‡Z cv‡iÑ KviY e ̈vL ̈v Ki| [5g Aa ̈vq] (M) †`vjKwUi †`vjbKvj 2.8 s n‡j H ̄’v‡b AwfKl©R Z¡iY KZ? DËi: 10.07 ms–2 (N) DÏxc‡K hvwš¿K kw3i wbZ ̈Zv m~Î cvwjZ nq wK bv| B I C Ae ̄’v‡bi wfwˇZ MvwYwZKfv‡e gZvgZ `vI| mgvavb: B we›`y‡Z e‡ei wefekw3, 0.588  10–3 J MwZkw3, 1.568  10–3 J B we›`y‡Z †gvU hvwš¿K kw3, 2.156  10–3 J C we›`y‡Z e‡ei wefekw3, 2.156  10–3 J MwZkw3, 0 O we›`y‡Z †gvU hvwš¿Kkw3, 2.156  10–3 J B I C Ae ̄’v‡b †`vjKwU hvwš¿K kw3i wbZ ̈Zvm~Î †g‡b P‡j| 25| mvwKj GKw`b GKwU †m‡KÛ †`vjK‡K A I B bvgK `ywU cvnv‡oi cv`‡`‡k wb‡q †M‡j mwVK mgq cvq| wKš‘ †m jÿ Kij A cvnv‡oi P~ovq †M‡j †`vjKwU N›Uvq 30 s mgq nvivq Ges B cvnv‡oi P~ovq †`vjKwUi †`vjbKvj cvIqv hvq 2.0198 s| [c„w_exi e ̈vmva© R = 6.4  106 m| cvnvo؇qi cv`‡`‡k A_©vr f~c„‡ô g = 9.8 ms–2 ] [h. †ev. 21] (K) ch©ve„Ë MwZ Kx? (L) c„w_exi wewfbœ ̄’v‡b †m‡KÛ †`vj‡Ki •`N© ̈ wK wewfbœ n‡Z cv‡i? e ̈vL ̈v Ki| (M) DÏxc‡Ki †m‡KÛ †`vjKwUi •`N© ̈ KZ? DËi: •`N© ̈ 0.9929 m (N) DÏxc‡Ki Z‡_ ̈i wfwˇZ Dfq cvnv‡oi D”PZv wbY©qc~e©K gZvgZ `vI †Kvb cvnvowU †ewk DuPz? DËi: hA = 64000 m; hB = 63360 m