Title 7. P1C7. Phy. For FRB-2024_Without Solve_Sha 29.02.24 PDF.pdf ✅

c`v‡_©i MvVwbK ag©  Final Revision Batch 1 mßg Aa ̈vq c`v‡_©i MvVwbK ag© Structural Properties of Matter Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2022 2023 †gvU weK...wZ 1 3 2 2 2 Ñ 10 cxob Ñ 1 1 2 4 Ñ 8 Amn ej 1 Ñ Ñ 1 Ñ Ñ 2 Bqs Gi ̧Yv1⁄4 Ges w ̄’wZ ̄’vcK mxgv msμvšÍ 1 3 Ñ 3 6 6 19 cxob-weK...wZ †jL Ñ Ñ Ñ Ñ 2 1 3 AvqZb w ̄’wZ ̄’vcK ̧Yv1⁄4 I K...šÍb weK...wZ Ñ 1 Ñ Ñ 3 Ñ 4 GKK AvqZ‡b mwÂZ kw3 1 1 1 2 1 1 7 cqm‡bi AbycvZ Ñ 2 Ñ 1 3 3 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| A I B `ywU Zvi| A Zv‡ii •`N© ̈ l1 I e ̈vmva© r1; Ab ̈w`‡K B Zv‡ii •`N© ̈ l2 I e ̈vmva© r2| Dfq Zv‡i 7 kg fi Djø¤^fv‡e wb‡P Pvcv‡bv n‡j A Zv‡ii •`N© ̈ e„w× cvq| 1 mm| B Zv‡iiI •`N© ̈ e„w× cvq| [Xv. †ev. 23] (K) `kv Kx? (L) †Kvb mg‡q mij †`vj‡Ki MwZ mij‣iwLK nq? e ̈vL ̈v K‡iv| (M) A Zv‡i K...ZKv‡Ri cwigvY wbY©q K‡iv| DËi: A Zv‡i K...ZKv‡Ri cwigvY 0.034 J (N) B Zv‡ii AvqZb AcwiewZ©Z _vK‡j Bnvi cqm‡bi Abycv‡Zi gvb †ei Kiv m¤¢e wK? MvwYwZKfv‡e we‡kølY Ki| DËi: cqm‡bi AbycvZ 0.5| 2| wb‡Pi Q‡K `ywU Zvi A I B Gi wewfbœ ivwki gvb cÖ`vb Kiv n‡jv: [iv. †ev. 23; w`. †ev. 23; g. †ev. 23] Zvi •`N© ̈ L(m) e ̈vm D(mm) cÖhy3 ej F(N) •`N© ̈ cÖmviY 1(mm) cqm‡bi AbycvZ  A 1.60 1.0 5.0 14 0.57 B 1.50 1.2 6.0 16 – (K) w ̄’wZ ̄’vcK mxgvi msÁv `vI| (L) GKwU w÷j Zv‡ii Ici cÖhy3 ej Ges e ̈vmva© hw` wØ ̧Y Kiv nq Z‡e Bqs Gi ̧Yv‡1⁄4i wK cwieZ©b n‡e? e ̈vL ̈v Ki| (M) ej cÖ‡qv‡M A Zv‡ii e ̈vm KZ n«vm cv‡e? wbY©q Ki| DËi: e ̈vm n«vm cv‡e 4.9875 × 10–6 m (N) †Kvb ZviwU w`‡q A‡cÿvK...Z kw3kvjx w ̄úas •Zwi Kiv hv‡e? MvwYwZK we‡køl‡Yi mvnv‡h ̈ gšÍe ̈ Ki| DËi: YA = 7.28 × 108 Nm–2 YB = 4.97 × 108 Nm–2 A Zvi w`‡q A‡cÿvK...Z kw3kvjx w ̄úas •Zwi Kiv hv‡e| 3| GKwU w ̄’wZ ̄’vcK e ̄‘i cxob ebvg weK...wZ Gi †jLwPÎ wb‡P †`Lv‡bv nj| [Kz. †ev. 23] 0.4 O 2108Nm 2 A cxob weK...wZ B (K) Amn cxob Kv‡K e‡j? (L) c`v‡_©i g‡a ̈ w ̄’wZ ̄’vcKZv ag© m„wói KviY Kx? e ̈vL ̈v K‡iv| (M) e ̄‘wUi w ̄’wZ ̄’vcK ̧Yv1⁄4 wbY©q K‡iv| DËi: w ̄’wZ ̄’vcK ̧Yv1⁄4 5 × 108 Nm–2 (N) †jLwP‡Îi †h‡Kv‡bv we›`yi Xvj †_‡K Bqs Gi ̧Yv1⁄4 wbY©q Kiv m¤¢e bqÑ †h.w3K e ̈vL ̈v Dc ̄’vcb K‡iv| DËi: A B O 0.4 2 × 108 Nm2 weK...wZ cxob †jLwPÎ †_‡K †`Lv hvq, cÖ_‡g weK...wZ e„w×i mv‡_ mv‡_ cxob mylgfv‡e evo‡Z _v‡K A_©vr cxob weK...wZi mgvbycvwZK nq| †jLwP‡Î OA mij‡iLvwU ZvB wb‡`©k K‡i| †jLwP‡Îi I AÂj‡K AvbycvwZK AÂj e‡j| GB A‡ji g‡a ̈ †h‡Kv‡bv we›`yi Xvj †_‡K Bqs Gi ̧Yv1⁄4 wbY©q Kiv m¤¢e| wKš‘, AB As‡k cxob I weK...wZi AbycvZ aaæeK nq bv, μgvMZ Kg‡Z Ges evo‡Z _v‡K| Gÿ‡Î cÖhy3 ej AcmviY Ki‡j wKQzUv ̄’vqx weK...wZ †_‡K hvq| GB As‡k cxob weK...wZi AbycvZ KLbI FYvZ¥K KLbI
2  HSC Physics 1st Paper Chapter-7 abvZ¥K jÿ ̈ Kiv hvq| Zv‡ii †Kv‡bv †Kv‡bv Ask miæ nIqvi Rb ̈ Giƒc nq| ZvB AB As‡k †h‡Kv‡bv we›`yi Xvj †_‡K Bqs Gi ̧Yv1⁄4 wbY©q Kiv m¤¢e bq| ZvB ejv hvq, †jLwP‡Îi †h‡Kv‡bv we›`yi Xvj †_‡K Bqs Gi ̧Yv1⁄4 wbY©q Kiv m¤¢e bq| 4| 2 m •`‡N© ̈i `ywU Zv‡ii e ̈vm h_vμ‡g 2 mm I 3 mm| Zvi `ywUi cÖ‡Z ̈KwU‡Z 7 × 103 N ej cÖ‡qvM Kiv n‡j G‡`i •`N© ̈ h_vμ‡g 5% I 2% e„w× †cj| [h. †ev. 23] (K) w ̄’wZ ̄’vcK ̧Yv1⁄4 Kx? (L) cvi‡`i AvqZb ̧Yv1⁄4 2 × 1010 Nm–2 ej‡Z Kx eyS? e ̈vL ̈v Ki| (M) DÏxc‡Ki cÖ_g ZviwUi GKK AvqZ‡b mwÂZ w ̄’wZ ̄’vcK kw3i gvb †ei Ki| DËi: GKK AvqZ‡b mwÂZ kw3 5.57 × 107 Jm–3 (N) DÏxc‡Ki †Kvb ZviwUi w ̄’wZ ̄’vcK mxgv †ewk? MvwYwZK we‡køl‡Yi mvnv‡h ̈ gZvgZ cÖ`vb Ki| DËi: Y2 > Y1 ; 2q Zv‡ii w ̄’wZ ̄’vcK mxgv †ewk| 5| A B 0 2 7 15 ej (F)N •`N© ̈ e„w× (l) cm wP‡Î 1.5 m Avw` •`‡N© ̈i A I B `yBwU GKB Dcv`v‡bi Zvi| cÖhy3 e‡ji mv‡_ Zvi `yBwUi •`N© ̈ e„w×i †jLwPÎ Dc‡i cÖ`wk©Z n‡q‡Q| YA = 2  1011 N/m2 . [P. †ev. 23] (K) û‡Ki m~ÎwU †jL| (L) GKwU B ̄úv‡Zi Zvi‡K eivei euvKv‡j DËß nq †Kb? e ̈vL ̈v K‡iv| (M) A Zv‡ii e ̈vmva© wbY©q K‡iv| DËi: A Zv‡ii e ̈vmva© 4.23 × 10–5 m (N) 10 cm •`N© ̈ cÖmvi‡Y Dfq Zv‡i K...ZKvR mgvb n‡e wKbv Zv MvwYwZKfv‡e hvPvB Ki| DËi: WA = 2.143 WB ; WA  WB 6| mgvb •`‡N© ̈i wZbwU Zvi A, B Ges C Gi Dci GKB gv‡bi cxob 5 × 1012 Nm–2 cÖ‡qv‡Mi d‡j •`N© ̈ e„w× h_vμ‡g 5%, 2% Ges 1% n‡jv| [e. †ev. 23] (K) AvšÍtAvYweK ej Kv‡K e‡j? (L) cxob † ̄..jvi ivwk bv †f±i ivwk? e ̈vL ̈v Ki| (M) ‘B’ Zv‡ii •`N© ̈ weK...wZ KZ? wbY©q Ki| DËi: B Zv‡ii •`N© ̈ weK...wZ = 0.02 (N) DÏxc‡Ki †Kvb ZviwU †ewk w ̄’wZ ̄’vcK? MvwYwZKfv‡e hvPvB Ki| DËi: YA = 100 × 1012 Nm–2 YB = 250 × 1012 Nm–2 YC = 500 × 1012 Nm–2 C ZviwU †ewk w ̄’wZ ̄’vcK| 7| M‡elYvMv‡i e ̈env‡ii Rb ̈ we‡klfv‡e wbwg©Z `ywU Zvi P I Q †bqv nj| cixÿvq cÖvß wewfbœ gvb wb¤œiƒc: [wm. †ev. 23] Zvi •`N© ̈, L(m) e ̈vmva©, r(cm) Szjv‡bv fvi, M(kg) •`N© ̈ cÖmiY, l(mm) e ̈vm n«vm, d(mm) P 2.80 0.50 0.50 3.2 0.005 Q 2.75 0.60 0.75 3 0.009 (K) mij Qw›`Z MwZ Kv‡K e‡j? (L) AvKvk †gNjv _vK‡j wkwki c‡o bv †Kb? e ̈vL ̈v K‡iv| (M) ‘P’ Zv‡ii cqm‡bi AbycvZ wbY©q K‡iv| DËi: P Zv‡ii cqm‡bi AbycvZ 0.4375 (N) †Kvb ZviwU †ewk w ̄’wZ ̄’vcK? MvwYwZKfv‡e we‡kølY K‡iv| DËi: YP = 5.459 × 107 Nm–2 YQ = 5.957 × 107 Nm–2 ZviwU †ewk w ̄’wZ ̄’vcK| 8| A I B `yBwU avZe Zvi| Zv‡`i •`N© ̈ h_vμ‡g 2m I 2.05 m Ges Zv‡`i e ̈vm h_vμ‡g 2mm I 5mm| Zvi `yBwU‡Z mgvb f‡ii e ̄‘ Szjv‡j A Zv‡ii cÖmviY B Zv‡ii cÖmviY A‡cÿv wØ ̧Y nq| A Zv‡ii cÖmvi‡Yi AbycvZ 0.4| [Xv. †ev. 22] (K) w ̄’wZ ̄’vcK mxgv ej‡Z Kx eyS? (L) Amn cxob 4.5 × 107Nm–2 ej‡Z Kx eyS? (M) A Zv‡ii •`N© ̈ 25% e„w× Ki‡j †ÿÎdj KZUzKz n«vm cv‡e? DËi: A Zv‡ii •`N© ̈ 25% e„w× Ki‡j †ÿÎdj 19% n«vm cv‡e| (N) DÏxc‡Ki †Kvb ZviwUi w ̄’wZ ̄’vcKZv †ewkÑ MvwYwZKfv‡e we‡kølY Ki| DËi: YA = 3.05 YB A Zvi †ewk w ̄’wZ ̄’vcK| 9| mygb 2 eM©wgwjwgUvi cÖ ̄’‡”Q‡`i †ÿÎdj Ges 9m `xN© GKwU Zvi wb‡q wb‡Pi cÖ‡ ̄’ 12kg fi Szwj‡q w`j| G‡Z Zv‡ii •`N© ̈ e„w× NUj Avw` •`‡N© ̈i 0.001%| B ̄úv‡Zi Bqs Gi ̧Yv1⁄4 20 × 1010 Nm–2 | [iv. †ev. 22] (K) Amn cxob Kx? (L) †`vjK‡K c„w_exi †K‡›`a wb‡j †`vjbKv‡ji Kx cwieZ©b NU‡e? (M) DÏxc‡Ki Zv‡ii Dci cÖhy3 cxob wbY©q Ki| DËi: cÖhy3 cxob 58.8 × 106 Nm–2 (N) DÏxc‡K myg‡bi e ̈eüZ ZviwU B ̄úvZ wQj wKbv hvPvB Ki| DËi: 5.88 × 1012 Nm–2 e ̈eüZ ZviwU B ̄úvZ wQj bv| 10| GKwU avZe Zv‡i 10kg fi Szjv‡bvi d‡j Gi •`N© ̈ wØ ̧Y I e ̈vm wZb-PZz_©vsk nq| [Kz. †ev. 22] avZz Bqs Gi ̧Yv1⁄4 (Y) Al 7 × 1010 Nm–2 Fe 11.5 × 1010 Nm–2 Cu 13 × 1010 Nm–2 (K) w ̄’wZ ̄’vcKZv Kx? (L) ZvcgvÎv evo‡j w ̄’wZ ̄’vcK ̧Yv‡1⁄4i gvb K‡g †Kb? e ̈vL ̈v Ki| (M) D3 avZe Zv‡ii cqm‡bi AbycvZ KZ? DËi: cqm‡bi AbycvZ 0.25 (N) Zv‡ii e ̈vm D = 4.22 × 10–2 mm n‡j DÏxcK Abymv‡i avZe ZviwU Kx w`‡q •Zwi? MvwYwZK we‡kølYc~e©K †Zvgvi gZvgZ `vI| [ms‡kvwaZ] DËi: Y = 7 × 1010 Nm–2 ZviwU A ̈vjywgwbqv‡gi •Zwi|
c`v‡_©i MvVwbK ag©  Final Revision Batch 3 11| 6m •`‡N© ̈i Ges 0.6 mm e ̈vmv‡a©i GKwU B ̄úv‡Zi Ges Aci GKwU mxmvi Zv‡ii †kl cÖv‡šÍ 25kg fi Szwj‡q w`‡j Zv‡ii •`N© ̈ cÖmviY h_vμ‡g 0.026 m Ges 0.325 m cvIqv †Mj| B ̄úv‡Zi Zv‡ii Bqs Gi ̧Yv1⁄4 2 × 1011 Nm2 | [h. †ev. 22] (K) w ̄’wZ ̄’vcK K¬vwšÍ Kv‡K e‡j? (L) AvšÍtAvYweK e‡ji mvnv‡h ̈ c`v‡_©i w ̄’wZ ̄’vcKZv e ̈vL ̈v Ki| (M) DÏxc‡Ki B ̄úv‡Zi Zv‡ii e ̈vmva© 8.58 × 10–4 mm n«vm †c‡j cqm‡bi AbycvZ wbY©q Ki| DËi: cqm‡bi AbycvZ 0.33 (N) DÏxc‡Ki Zvi؇qi g‡a ̈ †KvbwU †ewk w ̄’wZ ̄’vcK? MvwYwZKfv‡e we‡kølY Ki| DËi: Y = 3.99 × 109 Nm–2 > YS B ̄úv‡Zi ZviwU †ewk w ̄’wZ ̄’vcK| 12| GKwU B ̄úv‡Zi Zv‡ii •`N© ̈ 2 m, cÖ ̄’‡”Q‡`i †ÿÎdj 1 mm2 Ges Amncxob 4.76 × 107 Nm–2 | ZviwUi GK cÖv‡šÍ 2 kg fi Szjv‡j Zv‡ii •`N© ̈ 2 × 10–4 m e„w× cvq| GB fimn ZviwU‡K Gi Avw` •`‡N© ̈i mgvb e ̈vmva©wewkó e„ËvKvi c‡_ 4 rads–1 †e‡M Nyiv‡Z †M‡j ZviwU wQu‡o hvq| [P. †ev. 22] (K) cqm‡bi AbycvZ Kx? (L) mxmvi Bqs Gi ̧Yv1⁄4 1.6 × 1010 Nm–2 ej‡Z Kx eyS? (M) ZviwUi Bqs Gi ̧Yv1⁄4 wbY©q Ki| DËi: ZviwUi Bqs Gi ̧Yv1⁄4 1.96 × 1011 Nm–2 (N) ZviwU †Kb wQu‡o †M‡jv Zv DÏxcK Abymv‡i MvwYwZK we‡kølYc~e©K gZvgZ `vI| DËi: ZviwU‡K m‡e©v”P 3.45 rads–1 †K.wYK †e‡M †Nviv‡bv m¤¢e| †h‡nZz 4 rads–1 †K.wYK †e‡M †Nviv‡bv n‡q‡Q, ZvB ZviwU wQ‡o †M‡Q| 13| GKwU wcZ‡ji Zvi A hvi Amn fi 9.23 × 104N| GB Zv‡ii •`N© ̈ eivei ej cÖ‡qvM Kiv n‡j Gi •`N© ̈ 10% e„w× cvq Ges e ̈vm 5% n«vm cvq| Aci GKwU wcZ‡ji Zvi B hvi cÖ ̄’‡”Q‡`i †ÿÎdj 10–6 m 2 Ges •`N© ̈ 0.3m| B Zv‡ii GK cÖv‡šÍ 10kg f‡ii e ̄‘ †eu‡a m‡e©v”P 4 rads–1 †K.wYK `aæwZ‡Z Nyiv‡bv m¤¢e nq| [e. †ev. 22] (K) msbg ̈Zv Kx? (L) †Kv‡bv Zv‡ii Amn cxob 3.5 × 108 Nm–2 ej‡Z Kx eyS? (M) A Zv‡ii cqm‡bi AbycvZ KZ? wbY©q Ki| DËi: A Zv‡ii cqm‡bi AbycvZ 0.5 (N) A I B Zv‡ii g‡a ̈ †KvbwU AwaKZi †gvUv? MvwYwZK we‡køl‡Yi mvnv‡h ̈ gšÍe ̈ Ki| DËi: A I B Zv‡ii g‡a ̈ A ZviwU AwaKZi †gvUv| 14| GKwU B ̄úv‡Zi Zv‡ii •`N© ̈ 2 m Ges e ̈vm 1 mm| ZviwUi Dci 10 N ej cÖ‡qvM Kivi d‡j Gi •`N© ̈ e„w× cvq| B ̄úvZ Zv‡ii Bqs Gi ̧Yv1⁄4 Y = 2 × 1011 Nm–2 | [wm. †ev. 22] (K) Ae ̄’vb †f±i Kv‡K e‡j? [2q Aa ̈vq] (L) mij †`vj MwZ m¤úbœ KYv hLb m‡e©v”P †eMcÖvß nq, ZLb Z¡iY nq me©wb¤œÑ e ̈vL ̈v Ki| [8g Aa ̈vq] (M) DÏxcK Abymv‡i ZviwUi •`N© ̈ e„w×i cwigvY wbY©q Ki| DËi: •`N© ̈ e„w× cv‡e 1.27 × 10–4 m (N) ZviwUi cÖmvi‡Y †gvU K...ZKvR, GKK AvqZ‡b mwÂZ kw3 A‡cÿv wKiƒc n‡e MvwYwZKfv‡e we‡kølYc~e©K gZvgZ `vI| DËi: ZviwUi cÖmvi‡Y †gvU K...ZKvR GKK AvqZ‡b mwÂZ kw3i 1.57 × 10–6 ̧Y| 15| GKwU A ̈vjywgwbqv‡gi Zv‡ii •`N© ̈ 2 m, cÖ ̄’‡”Q‡`i †ÿÎdj 1 mm2 Ges Aci GKwU Kve©b wgwkÖZ A ̈vjywgwbqv‡gi Zv‡ii •`N© ̈ 2.25 m, cÖ ̄’‡”Q‡`i †ÿÎdj 0.90 mm2 | Zvi `ywUi cÖ‡Z ̈KwU‡Z 20N ej cÖ‡qvM Ki‡j h_vμ‡g 0.2 mm I 0.19 mm •`N© ̈ e„w× cvq| [w`. †ev. 22] (K) w ̄’wZ ̄’vcK mxgv Kv‡K e‡j? (L) cqm‡bi AbycvZ FYvZ¥K nIqv m¤¢e wK-bv? e ̈vL ̈v Ki| (M) A ̈vjywgwbqv‡gi Zv‡ii cÖwZ GKK AvqZ‡b mwÂZ kw3 wbY©q Ki| DËi: GKK AvqZ‡b mwÂZ kw3 1000 Jm–3 (N) A ̈vjywgwbqv‡gi mv‡_ Kve©b †gkv‡bvi d‡j w ̄’wZ ̄’vcKZvi wKiƒc cwieZ©b N‡U? MvwYwZK we‡kølYc~e©K gZvgZ `vI| DËi: Y1 = 2 × 1011 Nm–2 Y2 = 2.63 × 1011 Nm–2 A ̈vjywgwbqv‡gi mv‡_ Kve©b †gkv‡bvi d‡j ZviwUi Bqs Gi ̧Yv1⁄4 1.32 ̧Y nq Ges ZviwUi w ̄’wZ ̄’vcKZv AwaKZi nq| 16| AvRnvi 0.3 m j¤^v Ges 10–6 m 2 cÖ ̄’‡”Q‡`i †ÿÎdjwewkó Zv‡ii GK cÖv‡šÍ 10 kg f‡ii GKwU e ̄‘‡K †eu‡a e„ËvKvi c‡_ Nyiv‡”Q| ZviwUi Dcv`v‡bi Amn cxob 4.8 × 107 Nm–2 | [g. †ev. 22] (K) w ̄’wZ ̄’vcK K¬vwšÍ Kx? (L) msbg ̈Zv AvqZb w ̄’wZ ̄’vcK ̧Yv‡1⁄4i wecixZ ivwk- e ̈vL ̈v Ki| (M) ZviwUi Amn ej wbY©q Ki| DËi: ZviwUi Amn ej 48 N (N) DÏxc‡Ki ZviwU me©wb¤œ KZ †e‡M Nyiv‡j wQu‡o hv‡e? e ̈vL ̈v Ki| DËi: DÏxc‡Ki ZviwU‡K me©wb¤œ 4 rads–1 †K.wYK `aæwZ‡Z Nyiv‡j ZviwU wQ‡o hv‡e| 17| GKwU `„p Aej¤^b n‡Z 200 cm •`N© ̈ I 1 mm2 cÖ ̄’‡”Q`wewkó `ywU wfbœ Dcv`v‡bi Zvi A I B Szwj‡q Zvi؇qi wb‡P 10 kg K‡i fi Szjv‡bv n‡jv| d‡j A ZviwUi •`N© ̈ 7% I B ZviwUi •`N© ̈ 8% e„w× †cj| [g = 9.8 m/s2 ] [Xv. †ev. 19] (K) msbg ̈Zv Kx? (L) kxZj cvwb †_‡K Mig cvwbi MwZ `aæZZi †Kb? e ̈vL ̈v `vI| (M) B ZviwUi GKK AvqZ‡bi wefe kw3 KZ? DËi: GKK AvqZb mwÂZ wefe kw3 3.92 × 106 Jm–3 (N) mgvb ej cÖ‡qv‡M e ̄‘i •`N© ̈ e„w×i mv‡_ Bqs Gi ̧Yv‡1⁄4i g‡a ̈ m¤úK© DÏxc‡Ki Av‡jv‡K MvwYwZKfv‡e we‡kølY Ki| DËi: lA : lB = 0.88 : 1 •`N© ̈ e„w× Bqs Gi ̧Yvs‡Ki e ̈ ̄ÍvbycvwZK Ges G‡ÿ‡Î DÏxc‡Ki Zvi؇qi •`N© ̈ e„w×i AbycvZ 0.88 : 1|
4  HSC Physics 1st Paper Chapter-7 18| gvbnv cvwbi DcwiZ‡j fvmgvb 5 cm •`‡N© ̈i GKwU Zvi‡K Abyf‚wgK Ae ̄’vq Lvov Dc‡i Zzj‡jv| Gici cvwb‡Z GKwU †jvnvi †MvjK‡K †Q‡o w`‡q cÖvšÍ‡eM cwigvc Ki‡jv| cieZ©x‡Z H cvwbi ZvcgvÎv evwo‡q AveviI GKB †MvjK‡K †Q‡o w`‡q cÖvšÍ‡eM cwigvc Ki‡jv| [Kz. †ev. 19] (K) msbg ̈Zv Kv‡K e‡j? (L) mvg ̈ve ̄’vi Zzjbvq AvšÍtAvYweK `~iZ¡ †ewk n‡j AYy ̧‡jv AvKl©Y bv weKl©Y ej jvf K‡iÑ e ̈vL ̈v Ki| (M) gvbnv ZviwU‡K Dc‡i Zzj‡Z Kx cwigvY ej cÖ‡qvM Ki‡e wbY©q Ki| DËi: gvbnv ZviwU‡K Dc‡i Zzj‡Z 7.2 × 10–3 N ej cÖ‡qvM K‡i| (N) DÏxc‡Ki †Kvb †ÿ‡Î cÖvšÍ‡eM †ewk cvIqv hv‡e? MvwYwZK we‡køl‡Yi mvnv‡h ̈ gZvgZ `vI| DËi: ZvcgvÎv e„w× †c‡j Zi‡ji mv›`aZv ̧Yv1⁄4 n«vm cvq Ges ZvcgvÎv n«vm †c‡j mv›`aZv ̧Yv1⁄4 e„w× cvq| wØZxq †ÿ‡Î cvwbi ZvcgvÎv e„w× cvIqvq mv›`aZv ̧Yv1⁄4 n«vm cv‡e Ges djkÖæwZ‡Z †Mvj‡Ki cÖvšÍ †eM e„w× cv‡e| 19| ivwd cixÿvMv‡i GKwU Zvi B ̄úv‡Zi •Zwi wK bv hvPvB KiwQj| GRb ̈ †m 2 m `xN© Ges 1.12 mm e ̈vmwewkó GKwU Zvi wbj| ZviwU‡Z 25 J wefekw3 cÖ‡qvM Kivq ZviwUi •`N© ̈ 3 cm e„w× cvq Ges 5 × 10–3 mm n«vm cvq| weï× B ̄úv‡Zi Bqs Gi ̧Yv1⁄4 2 × 1011 Nm–2 | [P. †ev. 19] (K) mv›`aZv Kv‡K e‡j? (L) KuvP c„‡ô mgcwigvY †Zj I wMømvwib ivL‡j †KvbwU †ewk RvqMv Ry‡o _vK‡e? e ̈vL ̈v Ki| (M) DÏxc‡Ki ZviwUi cqm‡bi AbycvZ wbY©q Ki| DËi: DÏxc‡Ki ZviwUi cqm‡bi AbycvZ 0.3| (N) ivwdi e ̈eüZ ZviwU B ̄úv‡Zi wQj wK? MvwYwZKfv‡e we‡kølY Ki| DËi: ivwdi e ̈eüZ ZviwU B ̄úv‡Zi wQj bv| 20| GKwU ÷xj Zv‡ii Dci 10 N ej cÖ‡qv‡M Zv‡ii •`N© ̈ e„w× nq 0.1 mm| e‡ji cwieZ©b Kivi d‡j GKB •`‡N© ̈i Ges wØ ̧Y e ̈vmv‡a©i Ab ̈ GKwU Zv‡i mgcwigvY •`N© ̈ e„w× N‡U| [e. †ev. 19] (K) wkwkiv1⁄4 Kx? [10g Aa ̈vq] (L) w ̄’i f‡ii †Kv‡bv MÖn m¤úamvwiZ n‡j †Kv‡bv e ̄‘i gyw3‡eM cwieZ©b nq wKÑ e ̈vL ̈v Ki| [6ô Aa ̈vq] (M) DÏxc‡Ki cÖ_g Zv‡ii •`N© ̈ weK...wZ‡Z K...Z KvR wbY©q Ki| DËi: DÏxc‡Ki cÖ_g Zv‡ii •`N© ̈ weK...wZ‡Z K...Z KvR 5 × 10–4 J (N) DÏxc‡K DwjøwLZ e‡ji cwieZ©‡bi cwigvY MvwYwZKfv‡e we‡kølY Ki| DËi: MvwYwZK we‡kølY n‡Z ejv hvq, DÏxc‡Ki DwjøwLZ ej 30 N e„w× K‡i 40 N Ki‡Z n‡e| 21| `xc M‡elYvMv‡i 6m •`‡N© ̈i Ges 0.6 mm e ̈v‡mi GKwU B ̄úv‡Zi Ges Av‡iKwU mxmvi Zv‡ii †kl cÖv‡šÍ ch©vqμ‡g 25kg fi Szwj‡q †`Iqvi ci Dfq Zv‡ii •`N© ̈ cÖmviY †cj h_vμ‡g 0.026m Ges 0.325m [YS = 2 × 1011 Nm–2 ] [wm. †ev. 19] (K) eÜbkw3 Kv‡K e‡j? [10g Aa ̈vq] (L) AvšÍtAvYweK e‡ji mv‡_ AvšÍtAvYweK `~i‡Z¡i m¤úK© Kxiƒc? e ̈vL ̈v Ki| (M) cÖmvwiZ Ae ̄’vq B ̄úvZ ZviwUi g‡a ̈ w ̄’wZ ̄’vcK wefekw3 wbY©q Ki| DËi: cÖmvwiZ Ae ̄’vq B ̄úv‡Zi Zv‡ii g‡a ̈ w ̄’wZ ̄’vcK wefekw3 3.186 J (N) DÏxc‡Ki †Kvb ZviwUi fvi †bIqvi mvg_© ̈ †ewk? MvwYwZKfv‡e we‡kølY Ki| DËi: wmmvi Zv‡ii †P‡q B ̄úv‡Zi Zv‡ii Bqs MyYv1⁄4 Z_v w ̄’wZ ̄’vcKZv †ewk| myZivs B ̄úv‡Zi Zv‡ii fvi †bIqvi mvg_© ̈ †ewk| 22| 2 m •`‡N© ̈i I 0.8 mm cÖ ̄’‡”Q‡`i e ̈vmwewkó `ywU wfbœ wfbœ Zvi †bIqv n‡jv| Zvi `ywUi cÖ_gwUi †ÿ‡Î w ̄’wZ ̄’vcK mxgvi g‡a ̈ cxob ebvg weK...wZi †jLwPÎ [wPÎ-1] Ges wØZxqwUi †ÿ‡Î †gvU mwÂZ kw3 ebvg (•`N© ̈ e„w×)2 Gi †jLwPÎ [wPÎ-2] wb‡P cÖKvk Kiv n‡q‡Q| [w`. †ev. 19] 2 × 1013Nm2 0.7 × 1011J mwÂZ kw3 4 m2 weK...wZ (•`N© ̈ e„w×)2 10 O 2 O cuvob wPÎ-1 wPÎ-2 (K) w ̄’wZ ̄’v&cK K¬vwšÍ Kv‡K e‡j? (L) cqm‡bi AbycvZ abvZ¥K ej‡Z Kx eySvq? (M) w ̄’wZ ̄’vcK mxgvi g‡a ̈ 1g Zv‡i wPÎ-1 Abymv‡i m‡e©v”P mwÂZ kw3i cwigvY KZ? wbY©q Ki| DËi: 1.0053 × 102 J (N) `ywU Zv‡ii g‡a ̈ †KvbwU AwaK w ̄’wZ ̄’vcKÑ Zv MvwYwZK we‡kølYmn e ̈vL ̈v Ki| DËi: †`Lv hv‡”Q †h, wØZxq Zv‡ii Bqs ̧Yv1⁄4 cÖ_g Zvi A‡cÿv †ewk| Avgiv Rvwb, Bqs Gi ̧Yv1⁄4 †ewk n‡j w ̄’wZ ̄’vcKZv †ewk n‡e| myZivs ejv hvq †h, wØZxq ZviwU AwaK w ̄’wZ ̄’vcK| 23| `„p Aej¤^b n‡Z 1 m •`‡N© ̈i GKB Dcv`v‡bi `ywU Zv‡ii cÖ‡Z ̈KwUi gy3cÖv‡šÍ 0.05 kg fi Szjv‡bv n‡jv| Zvi ̧‡jvi e ̈vm h_vμ‡g 2 mm I 4 mm (Bqs Gi MyYv1⁄4 = 2 × 1011 Nm–2 )| [Xv. h. w`. wm. †ev. 18] (K) mv›`aZv Kv‡K e‡j? (L) e„wói †duvUv †MvjvKvi †Kb? (M) cÖ_g ZviwUi GKK AvqZ‡b w ̄’wZkw3 wbY©q Ki| DËi: 0.06 Jm–3 (N) fimn cÖ‡Z ̈KwU Szjv‡bv Zvi mij †`vj‡Ki b ̈vq AvPiY Ki‡j †KvbwU ax‡i Pj‡e? MvwYwZK we‡kølYmn e ̈vL ̈v Ki| DËi: †h‡nZz cÖ_g Zv‡ii †`vj‡Ki ch©vqKvj †ewk ZvB GwU wØZxq Zv‡ii †P‡q ax‡i Pj‡e|