Title vমহাকর্ষ ও অভিকর্ষ ✅

gnvKl© I AwfKl©  Final Revision Batch 1 lô Aa ̈vq gnvKl© I AwfKl© Gravitation and Gravity Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2022 2023 †gvU gnvKl© ej Ñ 1 Ñ Ñ 1 Ñ 2 MÖn-DcMÖn-bÿ‡Îi fi Ñ 1 Ñ Ñ Ñ Ñ 1 AwfKl© ej 1 Ñ 1 Ñ Ñ Ñ 2 AwfKl©R Z¡iY wbY©q/gnvKl©xq cÖvej ̈ Ñ 1 1 1 1 1 5 f~-c„ô n‡Z D”PZi ̄’v‡b AwfKl©xq Z¡iY 1 1 Ñ 3 3 1 9 wfbœ Aÿvs‡k (N~Y©b RwbZ Kvi‡Y g Gi gv‡bi ZviZg ̈) Ñ 1 Ñ Ñ 1 2 4 c„w_exi †KŠwYK †eM Ñ 1 Ñ Ñ Ñ Ñ 1 gnvKl© wefe Ñ 2 Ñ Ñ 2 1 5 gyw3‡eM Ñ 2 1 1 1 2 7 K...wÎg DcMÖn 3 2 1 3 2 2 13 f~w ̄’i DcMÖn 2 Ñ Ñ 2 3 1 9 * 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| 10 kg f‡ii GKwU e ̄‘‡K welyexq AÂj n‡Z †giæ A‡j ̄’vbvšÍi Kiv n‡jv| c„w_exi evwl©K MwZ Ges AvwýK MwZ h_vμ‡g 365 days Ges 24 hours| c„w_ex I m~‡h©i ga ̈Kvi `~iZ¡ 1.5 × 1011 m, c„w_exi e ̈vmva© 6.4 × 106 m, AwfKl©R Z¡iY 9.81 ms–2 | [iv. †ev. 23] (K) gnvKl©xq aaæe‡Ki msÁv `vI| (L) m~‡h©i mKj MÖ‡n gyw3‡e‡Mi gvb mgvb wK-bv? e ̈vL ̈v Ki| (M) m~‡h©i Pvicv‡k c„w_exi •iwLK `aæwZ †ei Ki| DËi: 29885.847 ms–1 (N) hw` AvwýK MwZ bv _vK‡Zv Z‡e welyexq AÂj n‡Z †giæ A‡j e ̄‘wU ̄’vbvšÍ‡ii d‡j IR‡bi cwieZ©b n‡e wK? MvwYwZKfv‡e †`LvI| DËi: IRb 0.3358 N e„w× cv‡e| 2| Puv`‡K GKwU mylg †MvjK we‡ePbv Kiv n‡jv| aiv hvK Puv‡`i †K›`a n‡Z 2  106 m D”PZvq GKwU K...wÎg DcMÖn N~Y©biZ Av‡Q| Puv‡`i cwiwa = 10.048  106 m Ges NbZ¡ = 1742.3 kgm–3 | [Kz. †ev. 23] (K) cvwK©s Kÿc_ Kx? (L) c„w_ex c„ô †_‡K Dc‡ii w`‡K AwfKl©R Z¡i‡Yi gv‡bi cwieZ©b †h m~Î †g‡b P‡j Zv e ̈vL ̈v K‡iv| (M) K...wÎg DcMÖnwUi •iwLK †e‡Mi gvb wbY©q K‡iv| DËi: 997.412 ms–1 (N) K...wÎg DcMÖnwU‡K hw` 1.7538 kms–1 †e‡M Puv‡`i c„ô †_‡K Dr‡ÿcY Kiv nq Zvn‡j Zvi P‚ovšÍ cwiYwZ MvwYwZK we‡kølYmn Dc ̄’vcb K‡iv| DËi: 1.7538 kms–1 > ve  e ̄‘wU cive„Ë c‡_ Puv` †Q‡o P‡j hv‡e| 3| c„w_exi c„ô †_‡K 3 × 104 km D”PZvq GKwU K...wÎg DcMÖn 3 kms–1 †e‡M c„w_ex‡K AveZ©b Ki‡Q| c„w_exi fi, 6 × 1024 kg c„w_exi e ̈vmva©, 6.4 × 103 km DcMÖnwUi fi, 1 × 103 kg Ges G = 6.673 × 10–11 Nm2 kg–2 [h. †ev. 23] (K) w ̄úas aaæeK Kx? (L) ej Øviv K...ZKvR e ̄‘i MwZkw3i cwieZ©‡bi mgvbÑ e ̈vL ̈v Ki| (M) K...wÎg DcMÖnwU‡K DwjøwLZ D”PZvq Zzj‡Z KZ KvR Ki‡Z n‡q‡Q? DËi: 5.155  1010 J (N) DÏxc‡K DwjøwLZ D”PZvq K...wÎg DcMÖnwU ̄’vqx n‡e wK? we‡kølY Ki| DËi: v = 3316.54 ms–1 < ve  DcMÖnwU ̄’vqx n‡e| 4| 24 NÈvq wbR A‡ÿ AveZ©biZ G c„w_ex‡Z GKwU e ̄‘i IRb me©Î mgvb nIqv m¤¢e bq| c„w_exi e ̈vmva©, 6.4 × 103 km AwfKl©R Z¡iY, 9.8 ms–2 [h. †ev. 23] (K) fvi‡K›`a Kx? (L) f~-c„ô †_‡K hZB wb‡P hvIqv hvq AwfKl©R Z¡i‡Yi gvb ZZB Kg‡Z _v‡KÑ e ̈vL ̈v Ki| (M) c„w_exi †giæ we›`y‡Z AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 9.8 ms–2 (N) DÏxc‡K c„w_exi welyexq A‡j GKwU e ̄‘i IRb k~b ̈ n‡Z n‡j †KŠwYK †e‡Mi gvb e„w× Ki‡Z n‡e|Ñ MvwYwZKfv‡e we‡kølY Ki| DËi: †KŠwYK †eM c~‡e©i 17.015 ̧Y Ki‡j welyexq A‡j GKwU e ̄‘i IRb k~b ̈ n‡e|
2  HSC Physics 1st Paper Chapter-6 5| m~h© I c„w_exi fi h_vμ‡g 2  1030 kg I 6  1024 kg c„w_ex n‡Z m~‡h©i `~iZ¡ 1.5  1011 m| [h. †ev. 23] (K) gyw3‡eM Kv‡K e‡j? (L) cwi‡e‡ki ZvcgvÎvi n«vm e„w×i mv‡_ †`vjK Nwo `aæZ wKsev ax‡i P‡jÑ e ̈vL ̈v K‡iv| (M) m~h© I c„w_exi ms‡hvM‡iLvi ga ̈we›`y‡Z gnvKl©xq wef‡ei gvb †ei K‡iv| DËi:– 1.779  109 Jkg–1 (N) c„w_ex I m~‡h©i ms‡hvMKvix mij‡iLvi Dci GKvwaK we›`y‡Z cÖve‡j ̈i gvb k~b ̈ nIqv m¤¢e wKbv MvwYwZKfv‡e we‡kølY K‡iv| DËi: m~h© n‡Z 1.4974  1011 m `~i‡Z¡ jwä cÖvej ̈ k~b ̈| 6| c„w_exi fi Ges e ̈vmva© h_vμ‡g M = 6 × 1024 kg Ges R = 6.4 × 106 m| c„w_exi c„ô †_‡K 700 km D”PZvq GKwU K...wÎg DcMÖn AveZ©b Ki‡Q| [G = 6.673 × 10–11 Nm2 kg–2 ] [e. †ev. 23] (K) †Ubmb ej Kv‡K e‡j? (L) Puv‡` gvbyl emevm Ki‡Z cv‡i wK bv? e ̈vL ̈v Ki| (M) K...wÎg DcMÖnwUi †K›`agyLx Z¡iY wbY©q Ki| DËi: 7.94 ms–2 (N) DÏxc‡Ki K...wÎg DcMÖnwU gnvk~‡b ̈ wgwj‡q hvIqvi m¤¢vebv Av‡Q wK? MvwYwZK we‡køl‡Yi gva ̈‡g mwVK wm×všÍ `vI| DËi: v < ve nIIqvq DcMÖnwUi gnvk~‡b ̈ wgwj‡q hvIqvi m¤¢vebv †bB| 7| K...wÎg DcMÖn R h c„w_ex (E) [wm. †ev. 23] c„w_exi fi, M = 6  1024 kg c„w_exi e ̈vmva©, R = 6.4  106 m gnvKl©xq aaæeK, G = 6.673  10–11 Nm2 kg–2 K...wÎg DcMÖ‡ni D”PZv, h = 3.46  106 m (K) Zj †f±i Kv‡K e‡j? (L) g1⁄2j MÖ‡ni c„ô n‡Z e„n ̄úwZi c„‡ô gyw3‡eM †ewkÑ e ̈vL ̈v K‡iv| (M) K...wÎg DcMÖnwUi †eM wbY©q K‡iv| DËi: 6.372 kms–1 (N) DÏxc‡Ki K...wÎg DcMÖnwU f‚-w ̄’i DcMÖn n‡e wK? MvwYwZK we‡kølY mvnv‡h ̈ gZvgZ `vI| DËi: T  24 hr myZivs DcMÖnwU f~w ̄’i DcMÖn n‡e| 8| c„w_exi fi 6 × 1024 kg, e ̈vmva© 6.4 × 106 m| 80 kg f‡ii GKwU K...wÎg DcMÖn f~-c„ô n‡Z 200 km D”PZvq Zz‡j Gi g‡a ̈ 4.5 × 109 Joule MwZkw3 mÂvwiZ Kiv n‡jv| [G = 6.67 × 10–11 Nm2 kg–2 , g = 9.8 ms–2 ] [w`. †ev. 23] (K) gnvKl©xq cÖvej ̈ Kv‡K e‡j? (L) †Kv‡bv e ̄‘i Dci wμqvkxj ej 12 N ej‡Z Kx †evSvq? (M) K...wÎg DcMÖnwUi ch©vqKvj wbY©q K‡iv| DËi: 5324.275 s (N) DÏxc‡K DcMÖwU‡K gnvk~‡b ̈ cvVv‡bvi Rb ̈ MwZkw3i cwieZ©b Ki‡Z n‡e wKbvÑMvwYwZKfv‡e we‡kølY K‡iv| DËi: MwZkw3 e„w× Ki‡Z n‡e, 3.5  108 J 9| wjgb ̧Mj †_‡K wb‡¤œi Z_ ̈mg~n †cj| Z_ ̈mg~n e ̈envi K‡i wb¤œiƒc `yÕwU †jLwPÎ AsKb K‡i| †`Iqv Av‡Q, c„w_exi fi, M = 6.4  1024 kg c„w_exi e ̈vmva©, R = 6.4  106 m gnvKl©xq aaæeK, G = 6.67  10–11 Nm2 kg–2 [g. †ev. 23] h gh h gh †jLwPÎ-1 †jLwPÎ-2 †jLwPÎ-1: f‚c„ô n‡Z c„w_exi †K‡›`ai w`‡K h `~iZ¡ I h `~i‡Z¡ AwfKl©R Z¡iY gh †jLwPÎ-2: f‚c„ô n‡Z Dc‡ii w`‡K h `~iZ¡ I h `~i‡Z¡ AwfKl©R Z¡iY gh (K) gyw3 †eM Kx? (L) Ò†Kv‡bv wbw`©ó ̄’v‡b IRb f‡ii mgvbycvwZKÓÑ e ̈vL ̈v K‡iv| (M) WvUv ̧‡jv e ̈envi K‡i c„w_exi c„‡ô g Gi gvb wbY©q K‡iv| DËi: 9.770 ms–2 (N) DÏxc‡Ki †jLwPÎ `ywU wfbœ nIqvi KviY Kx? MvwYwZKfv‡e e ̈vL ̈v K‡iv| DËi: y = – mx + c; y = c X 2 10| †Kv‡bv GKwU KvíwbK MÖ‡ni fi c„w_exi f‡ii mgvb wKš‘ e ̈vmva© c„w_exi e ̈vmv‡a©i wØ ̧Y| 3 kg f‡ii GKwU e ̄‘ Dfq MÖ‡ni c„ô n‡Z 9 kms–1 †e‡M Lvov Dc‡ii w`‡K wb‡ÿc Kiv n‡jv| c„w_exi fi 5.97 × 1024 kg Ges e ̈vmva© 6.4 × 106 m| [Xv. †ev. 22] (K) w ̄’wZ ̄’vcK msNl© Kv‡K e‡j? [Aa ̈vq-4] (L) †KŠwYK fi‡e‡Mi w`K Kxfv‡e cvIqv hvq, e ̈vL ̈v Ki| [Aa ̈vq-4] (M) c„w_exi gyw3 †eM wbY©q Ki| DËi: 11155 ms–1 (N) DÏxc‡Ki wbwÿß e ̄‘wU Dfq MÖ‡n wd‡i Avm‡e wK bvÑ MvwYwZKfv‡e we‡kølY Ki| DËi: v < ve ; c„w_ex‡Z †diZ Avm‡e| ve = 5.5788 kms–1 < v KvíwbK MÖ‡n †diZ Avm‡e bv| 11| XvKvi f~-c„ô n‡Z Lvov 26000 km Dc‡i GKwU K...wÎg DcMÖn ̄’vcb Kiv n‡jv| c„w_exi e ̈vmva© 6400 km Ges fi 6 × 1024 kg. [P. †ev. 22] (K) gyw3 †e‡Mi msÁv `vI| (L) GKB Kÿc‡_ ̄’vwcZ `ywU wfbœ f‡ii m ̈v‡UjvB‡Ui †eM wK GKB n‡e, bv wfbœ n‡e? e ̈vL ̈v Ki| (M) K...wÎg DcMÖnwUi Kÿxq †eM wbY©q Ki| DËi: v = 3.515 kms –1 (N) DcMÖnwU‡K me mgq XvKvi Dci †`Lv hv‡e Kx? MvwYwZK we‡kølYc~e©K gZ `vI| DËi: †h‡nZz, T  24 hr, †`Lv hv‡e bv|
gnvKl© I AwfKl©  Final Revision Batch 3 12| c„w_exi c„ô n‡Z 500 km D”PZvq GKwU K...wÎg DcMÖn ̄’vcb Kiv n‡jv| c„w_exi e ̈vmva© 6400 km Ges c„w_exi c„‡ô AwfKl©R Z¡iY 9.81 ms–2 | [iv. †ev. 22] (K) `kv Kx? (L) c„w_exi Nb‡Z¡i cwieZ©‡b AwfKl©R Z¡i‡Yi cwieZ©b n‡e Kx? (M) DÏxc‡Ki D”PZvq AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 8.44 ms–2 (N) DÏxc‡Ki DcMÖnwU f~w ̄’i DcMÖ‡n iƒcvšÍi m¤¢e wKbv? MvwYwZK we‡kølYmn †Zvgvi gZvgZ `vI| DËi: DcMÖnwU‡K Av‡iv = 35500 km Dc‡i DVv‡j DcMÖnwU f‚w ̄’i DcMÖ‡n cwiYZ n‡e| 13| m~‡h©i Pviw`‡K c„w_exi Kÿc_ Dce„ËvKvi| m~h© n‡Z c„w_exi wbKUZg I `~iZg `~iZ¡ h_vμ‡g 1.47 × 1014 m Ges 1.502 × 1014 m| GKRb wkÿv_©x wnmve K‡i ejj c„w_ex‡K wbKUZg n‡Z `~iZg `~i‡Z¡ miv‡Z gnvKl© e‡ji weiæ‡× 1.8 × 1029J KvR m¤úv`b Ki‡Z nq| m~h© I c„w_exi fi h_vμ‡g 2 × 1030 kg Ges 5.96 × 1024 kg. [Kz. †ev. 22] (K) gnvKl© wefe Kv‡K e‡j? (L) gy3fv‡e cošÍ e ̄‘i †ÿ‡Î h ebvg t 2 †jLwP‡Îi cÖK...wZ Kxiæc n‡e? e ̈vL ̈v Ki| (M) m~h© n‡Z b~ ̈bZg `~i‡Z¡ c„w_exi †K›`avwfgyLx ej wbY©q Ki| DËi: 3.68  1016 N (N) DÏxc‡K DwjøwLZ wkÿv_©xi wnmv‡ei h_v_©Zv MvwYwZKfv‡e we‡kølY Ki| DËi: W  1.8  1029 DÏxc‡K DwjøwLZ wkÿv_©xi wnmve h_v_© bq| 14| `~i‡Z¡i mv‡c‡ÿ c„w_exi AwfKl©R Z¡i‡Yi cwieZ©‡bi †jLwPÎ wb‡¤œ cÖ`Ë n‡jv: O A B C R 2 R 3R 2 `~iZ¡ AwfKl©R Z¡iY h = R 2 c„w_exi e ̈vmva© R = 6.4 × 106 m, c„w_exi fi M = 6 × 1024 kg Ges gnvKl©xh aaæeK G = 6.673 × 10–11 Nm2 kg–2 | [wm. †ev. 22] (K) Ak¦ÿgZv Kx? (L) e„ËvKvi c‡_ N~Y©vqgvb e ̄‘i †K›`agyLx ej Øviv K...ZKvR k~b ̈ nq|Ñ e ̈vL ̈v Ki| (M) hLb †Kv‡bv e ̄‘ A we›`y‡Z Ae ̄’vb K‡i ZLb AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 4.9 m/s2 (N) DÏxc‡K ewY©Z A I C we›`yi g‡a ̈ Ges †Kv_vq †Kv‡bv GKwU e ̄‘ †ewk IRb Abyfe Ki‡e? MvwYwZK we‡kølY `vI| DËi: gu = 4.35 < gd; C †Z Kg IRb| 15| A Ges B GKB Dcv`vb Ges GKB Mo NbZ¡wewkó `ywU MÖn (KvíwbK)| A Gi fi 5.93 × 1024 kg, e ̈vmva© 6.93 × 106 m Ges B Gi e ̈vmva© 3 × 106 m| [e. †ev. 22] (K) gnvKl©xq †ÿÎ Kx? (L) KLb e ̄‘i fi‡K›`a Ges fvi‡K›`a GKB we›`y‡Z nq? e ̈vL ̈v Ki| (M) A MÖ‡ni c„‡ôi †Kv‡bv we›`y‡Z gnvKl©xq wefe wbY©q Ki| DËi: – (5.7  107 ) Jkg–1 (N) A Ges B Dfq MÖ‡ni c„‡ô gnvKl©xq cÖve‡j ̈i gvb wK GKB n‡e? MvwYwZK we‡kølYmn gšÍe ̈ Ki| DËi: E = g  R; EA  EB 16| c„w_exi e ̈vmva© R = 6.4  106 m Ges AveZ©bKvj 24 N›Uv| c„w_ex c„ô n‡Z GKwU K...wÎg DcMÖ‡ni D”PZv h = 3.6  107 m| c„w_exi fi M = 6  1024 kg. [w`. †ev. 22] W P R O m = 2 kg =60 c„w_ex ÒK...wÎg DcMÖnÓ (K) gyw3 †eM Kx? (L) welyexq A‡j e ̄‘i IRb n«vm cvIqvi KviY e ̈vL ̈v Ki| (M) P we›`y‡Z m f‡ii e ̄‘i Dci Kvh©Ki AwfKl© e‡ji gvb KZ? DËi: 19.58 N (N) f~-c„ô n‡Z K...wÎg DcMÖnwU‡K w ̄’i e‡j g‡b n‡e wK? MvwYwZKfv‡e hvPvB Ki| DËi: T  24 hr ; f~-w ̄’i g‡b n‡e| 17| K...wÎg DcMÖn Dr‡ÿcY †K›`a n‡Z 3.6 × 104 km D”PZvq GKwU K...wÎg DcMÖn Dr‡ÿcY Kiv n‡jv| †hLv‡b AwfKl©R Z¡iY g = 9.8 ms–2 | c„w_exi e ̈vmva© Ges gnvKl© aaæeK h_vμ‡g 6.4 × 106 m Ges 6.7 × 10–11 Nm2 kg–2 | [h. †ev. 22] (K) cvwK©s Kÿc_ Kx? (L) gyw3 †eM e ̄‘i f‡ii Dci wbf©ikxj bqÑ e ̈vL ̈v Ki| (M) K...wÎg DcMÖnwUi †eM wbY©q Ki| DËi: 3076.88 m/s (N) K...wÎg DcMÖnwU f~w ̄’i n‡e wK? MvwYwZKfv‡e we‡kølY Ki| DËi: T =  24 h; f~-w ̄’i| 18| c„w_exi c„ô n‡Z 3.6 × 104 km D”PZvq e1⁄2eÜz m ̈v‡UjvBU ̄’vwcZ| GwU U-19 wek¦Kvc wμ‡KU †Ljv m¤úamvi‡Yi Rb ̈ wba©vwiZ| c„w_exi e ̈vmva© R = 6.4 × 106 m| [g. †ev. 22] (K) cvwK©s Kÿc_ Kx? (L) gnvKl©xq wefe Amx‡g me©vwaK wKšÍ k~b ̈Ñ e ̈vL ̈v Ki| (M) m ̈v‡UjvB‡Ui •iwLK †eM wbY©q Ki| DËi: 3076.87 m/s (N) DÏxc‡K DwjøwLZ Dc-MÖnwU U-19 wek¦Kv‡ci g ̈vP ̧‡jv m¤úaPvi Ki‡Z mÿg wK bvÑ e ̈vL ̈v Ki| DËi: 86583.79 s
4  HSC Physics 1st Paper Chapter-6 19| GKwU K...wÎg DcMÖn †K‡bwW † ̄úm †m›Uvi n‡Z Dr‡ÿc‡Yi ci GKwU f~-c„ô n‡Z 3.58  107 m D”PZvq wbiÿ‡iLv eivei c„w_ex‡K cÖ`wÿY Ki‡Q| c„w_exi fi 5.972  1024 kg, e ̈vmva© 6.4  106 m, gnvKl© aaæeK G = 6.67  10–11 Nm2 kg–2 [h. †ev. 19] (K) gnvKl© wefe Kv‡K e‡j? (L) mv›`a Zi‡ji g‡a ̈ w`‡q avZe †MvjK cwZZ n‡j †eM ebvg mgq †jLwP‡Îi cÖK...wZ wKiƒc n‡e? [7g Aa ̈vq, wm‡jev‡m †bB] (M) DcMÖnwUi ch©vqKvj †ei Ki| DËi: 24 h (cÖvq) (N) DÏxc‡K DwjøwLZ DcMÖnwU GKwU f~-w ̄’i DcMÖ‡ni b ̈vq AvPiY K‡i Kx? DËi: AvPiY K‡i| 20| c„w_exi fi I e ̈mva© h_vμ‡g 6 × 1024 kg Ges 6400 km| Gi c„‡ô AwfKl©R Z¡iY 9.8 ms–2 | gnvKl©xq aaæeK 6.673 × 10–11 Nm2 kg–2 | Gi c„ô †_‡K GKwU DcMÖn‡K 700 km D”PZvq †Zvjv n‡jv| [P. †ev. 19] (K) f~-w ̄’i DcMÖn Kv‡K e‡j? (L) c„w_exi Nb‡Z¡i cwieZ©‡b AwfKl©R Z¡iY cwieZ©b n‡e wK? e ̈vL ̈v Ki| (M) c„w_exi c„ô †_‡K KZ D”PZvq DcMÖ‡ni IRb c„w_ex c„‡ôi IR‡bi 80% n‡e? wbY©q Ki| DËi: 7.554 × 105 m (N) DÏxc‡Ki Dr‡ÿwcZ DcMÖnwU Puv‡`i g‡Zv DcMÖn n‡e wK? MvwYwZK we‡kølY Ki| DËi: DcMÖnwUi AveZ©bKvj 1 NÈv 39 wgwbU| wKš‘ Puv‡`i AveZ©bKvj cÖvq 27 w`b| Dr‡ÿwcZ DcMÖnwU Puv‡`i g‡Zv DcMÖn n‡e bv| 21| c„w_ex c„ô n‡Z 600 km D”PZvq GKwU K...wÎg DcMÖn ̄’vcb Kiv n‡jv| c„w_exi e ̈vmva© 6400 km Ges c„w_ex c„‡ô AwfKl©R Z¡iY 9.8 ms–2 | [e. †ev. 19] (K) c„ôUvb Kv‡K e‡j? [7g Aa ̈vq] (L) RoZv n‡Z e‡ji aviYv cvIqv hvq wK?Ñ Av‡jvPbv Ki| [4_© Aa ̈vq] (M) DÏxc‡Ki D”PZvq AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 8.192 ms–2 (N) DÏxc‡Ki DcMÖnwU f~-w ̄’i DcMÖ‡n iƒcvšÍi Kiv m¤¢e wKbv MvwYwZK we‡kølYmn gZvgZ `vI| DËi: DcMÖnwU‡K Av‡iv 35400 km Dc‡i DVv‡j DcMÖnwU f‚w ̄’i DcMÖ‡n cwiYZ n‡e| 22| 6.4 × 106 m e ̈vmv‡a©i GKwU MÖn wbR A‡ÿ 24 NÈvq GKevi Ny‡i| GKRb weÁvbx MÖnwUi mv‡_ AwfKl©xq Z¡iY g- Gi m¤úK© ̄’vc‡bi Rb ̈ 58 DËi Aÿvs‡ki mv‡_ GKwU ̄’v‡b 80 kg f‡ii GKwU e ̄‘ ivL‡jb| AwfKl©xq Z¡iY g = 9.8 ms–2 [wm. †ev. 19] (K) gyw3 †eM Kx? (L) c„w_exi Af ̈šÍ‡i †Kv‡bv ̄’v‡bi AwfKl©R Z¡iY c„w_exi †K›`a n‡Z `~i‡Z¡i mgvbycvwZKÑ e ̈vL ̈v Ki| (M) D3 ̄’v‡b MÖnwUi N~Y©‡bi Rb ̈ e ̄‘wUi •iwLK †eM KZ? DËi: •iwLK †eM 246.64 ms–1 (N) D3 ̄’v‡b e ̄‘wUi IRb MÖnwUi c„‡ô e ̄‘i IR‡bi †P‡q †ewk bv Kg n‡e? MvwYwZK we‡køl‡Yi gva ̈‡g gZvgZ `vI| DËi: g = R cos2  = 9.7905 ms–2 IRb Kg n‡e| 23| MÖ‡ni bvg fi e ̈vmva© m~h© n‡Z `~iZ¡ g1⁄2j 6.39×1023 kg 3390 km 227.9×106 km c„w_ex 5.97×1024 kg 6378 km 149.6×106 km Ges gnvKl©xq aaæeK G = 6.67 × 10–11 Nm2 kg–2 [w`. †ev. 19] (K) w ̄’wZ ̄’vcK msNl© Kv‡K e‡j? [4_© Aa ̈vq] (L) †Kv‡bv MÖ‡ni gyw3‡eM H MÖ‡ni e ̈vmv‡a©i Dci wbf©ikxj wK bvÑ e ̈vL ̈v Ki| (M) g1⁄2j c„‡ôi AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 3.71 ms–2 (N) Dfq MÖ‡n †Kv‡bv e ̄‘i gyw3‡eM mgvb n‡e wK bv MvwYwZK we‡kølYmn gZvgZ `vI| DËi: vm = 5.02 kms–1 ; ve = 11.18 kms–1 ; Dfq MÖ‡n †Kv‡bv e ̄‘i gyw3‡eM mgvb n‡e bv| 24| 5 kg f‡ii GKwU e ̄‘ f~-c„‡ô gy3‡e‡M wb‡ÿc Kivq †mwU gnvk~‡b ̈i Ab ̈ GKwU MÖ‡n †cuŠQvq| hvi fi c„w_exi f‡ii †lvj ̧Y Ges e ̈vm c„w_exi e ̈vmv‡a©i AvU ̧Y| (c„w_exi fi = 6 × 1024 kg, c„w_exi e ̈vmva© = 6.4 × 103 km) [XvKv, h‡kvi, wm‡jU I w`bvRcyi (mw¤§wjZ) †evW©-18 (†mU-1)] (K) KvR kw3 Dccv` ̈wU wjL| [5g Aa ̈vq] (L) †Kv‡bv GKwU h‡š¿i ÿgZv 50 MW– e ̈vL ̈v K‡iv| (M) DÏxc‡K DwjøwLZ Ab ̈ MÖ‡ni c„‡ô AwfKl©R Z¡i‡Yi gvb wbY©q Ki| DËi: 9.8 ms–2 (N) DÏxc‡K DwjøwLZ e ̄‘wUi ei A‡a©K n‡jI H e ̄‘wU‡K cybivq Ab ̈ MÖnwU n‡Z gnvk~‡b ̈ wb‡ÿc Ki‡Z cÖ‡qvRbxq gyw3‡eM f~-c„‡ôi gyw3‡e‡Mi mgvb n‡e Kx? MvwYwZK we‡kølYc~e©K †Zvgvi gZvgZ `vI| DËi: MÖnwUi gyw3‡eM 22.4 kms–1 ; Ab ̈w`‡K c„w_exi gyw3‡eM 11.2 kms–1 gyw3‡e‡Mi mgxKiY Abyhvqx e ̄‘i f‡ii Ici gyw3‡eM wbf©i K‡i bv| fi e„w× A_ev fi n«vm hvB Kiv †nvK bv †Kb gyw3‡eM AcwiwZ©Z _vK‡e| Z‡e MvwYwZK we‡kølY K‡i †`Lv hv‡”Q †h Ab ̈ MÖnwUi gyw3‡eM Ges c„w_exi gyw3‡eM mgvb n‡e bv| 25| M1 = 1.52 × 1025 kg 4.5×108 m MÖn b‡fvhvb DcMÖn M2 = 7.5 × 1022 kg Dc‡ii DÏxcKwU jÿ Ki| [ivRkvnx, PÆMÖvg, Kzwgjøv, ewikvj (mw¤§wjZ †evW©-18†mU-2] (K) †KŠwYK Z¡iY Kv‡K e‡j? [3q Aa ̈vq] (L) cig k~b ̈ ZvcgvÎvq M ̈vm-AYyi †eM k~b ̈ nIqvi KviY Kx? e ̈vL ̈v Ki| [10g Aa ̈vq] (M) DcMÖnwUi †eM wbY©q Ki| DËi: DcMÖnwUi †eM 1.5 kms–1 (N) MÖn †_‡K DcMÖ‡ni w`‡K hvIqvi c‡_ †Kv‡bv ̄’v‡b b‡fvhvbwUi Dci jwä ej k~b ̈ n‡e wKbvÑ MvwYwZKfv‡e wm×všÍ `vI| DËi: MÖn n‡Z 4.2 × 108 m `~i‡Z¡ b‡fvhvbwUi Dci jwä ej k~b ̈ n‡e|