Title 7. P1C7. HSC Prep Papers_With Solve.pdf ✅

c`v‡_©i MvVwbK ag©  HSC Prep Papers 1 mßg Aa ̈vq c`v‡_©i MvVwbK ag© Structural Properties of Matter Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2022 2023 2024 †gvU weK...wZ 1 3 2 2 2 Ñ Ñ 10 cxob Ñ 1 1 2 4 Ñ 1 9 Amn ej 1 Ñ Ñ 1 Ñ Ñ Ñ 2 Bqs Gi ̧Yv1⁄4 Ges w ̄’wZ ̄’vcK mxgv msμvšÍ 1 3 Ñ 3 6 6 7 26 cxob-weK...wZ †jL Ñ Ñ Ñ Ñ 2 1 Ñ 3 AvqZb w ̄’wZ ̄’vcK ̧Yv1⁄4 I K...šÍb weK...wZ Ñ 1 Ñ Ñ 3 Ñ 1 5 GKK AvqZ‡b mwÂZ kw3 1 1 1 2 1 1 2 9 cqm‡bi AbycvZ Ñ 2 Ñ 1 3 3 6 15 * 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| GKwU cixÿ‡Y 1 cm Ges 3 cm e ̈mv‡a©i wfbœ Dcv`v‡bi `ywU Zvi GKwU `„p Aej¤^b †_‡K Szjv‡bv n‡jv| Zvi `ywUi •`N© ̈ Awfbœ| Zvi `ywU‡Z GKB fi Szjv‡bv‡Z wØZxq ZviwUi •`N© ̈ e„w× cÖ_g ZviwUi •`N© ̈ e„w×i A‡a©K n‡jv| cÖ_g ZviwUi cqm‡bi AbycvZ 0.3| [Xv. †ev. 24] (K) cxob Kx? (L) ZvcgvÎv evov‡j w ̄’wZ ̄’vcK ̧Yvs‡Ki gvb K‡g †Kb? e ̈vL ̈v Ki| (M) cÖ_g ZviwUi •`N© ̈ 10% evov‡j Gi e ̈vmva ̈ KZUzKz n«vm cv‡e? mgvavb: 1g Zv‡ii e ̈vmva©, r  1 cm •`N© ̈ e„w×, L L  10%  10 100  0.1 e ̈vmva© n«vm, r  ? Avgiv Rvwb, cqm‡bi AbycvZ   – r r L L ev, r  – r L L ev, r  – 0.3  1  0.1  r  – 0.03 cm GLv‡b FYvZ¥K wPý wb‡`©k K‡i †h Zv‡ii e ̈vmva© n«vm †c‡q‡Q| AZGZ, e ̈vmva© n«vm 0.03 cm| (Ans.) (N) DÏxc‡Ki †Kvb ZviwUi fvi en‡bi mÿgZv †ewk n‡e? MvwYwZKfv‡e hvPvB Ki| mgvavb: 1g Zv‡ii †ÿ‡Î, Y1  F1L1 A1 l1 Ges 2q Zv‡ii †ÿ‡Î, Y2  F2L2 A2 l2 †h‡nZz Dfq Zv‡ii cÖv_wgK •`N© ̈ Awfbœ GRb ̈ L1 = L2 Ges GKB fi Szjv‡j, F1 = F2  Y1 Y2  F1L1 A1 l1 F2L2 A2 l2  A2 l2 A1 l2  r 2 2 l1 2 r 2 1 l1  r 2 2 2r2 1  3 2 2  1 2  9 2    †h‡nZz 2q Zv‡ii •`N© ̈ e„w× cÖ_gwUi A‡a©K GRb ̈ l2   l1 2 ev, Y1  9 2 Y2  Y1 > Y2 AZGe, 1g ZviwUi Bqs Gi ̧YvsK 2q Zvi A‡cÿv †ewk| myZivs 1g ZviwU †ewk w ̄’wZ ̄’vcK| GRb ̈ 1g Zv‡ii fi en‡bi mÿgZv †ewk| (Ans.) 2| P, Q I R Zv‡ii wewfbœ ivwki gvb wb¤œiƒc: Zvi Avw` •`N© ̈ L e ̈vm D •`N© ̈ e„w× l •`N© ̈ n«vm d cÖhy3 ej F (m) (X10–3m) (X10–3m) (X10 –6 m) (N) P 1 2 0.14 0.0418 10 Q 1 2 0.18 0.0593 12 R 1 2 0.22 0.0912 13 [P. †ev. 24] (K) Av‡cwÿK Av`a©Zv Kv‡K e‡j? (L) c„w_exi †K‡›`a AwfKl©R Z¡i‡Yi gvb k~b ̈ †Kb? e ̈vL ̈v Ki| (M) ÔRÕ ZviwUi cqm‡bi AbycvZ KZ? mgvavb: †`Iqv Av‡Q, R Zv‡ii Avw` •`N© ̈, L  1m •`N© ̈ e„w×, l  0.22  10–3 m Avw` e ̈vm, D  2  10–3 m e ̈‡mi cwieZ©b, d  0.0912  10–6 m


4  HSC Physics 1st Paper Chapter-7 8| P, Q Ges R wZbwU Zv‡i 8  1012 Nm–2 gv‡bi cxob cÖ‡qvM Kiv nj| Gi d‡j Zvi ̧‡jvi •`N© ̈ e„w× h_vμ‡g 5%, 2% I 1% n‡jv| P Zv‡ii cvk¦©weK...wZ 0.02| [wm. †ev. 24] (K) w ̄’wZ ̄’vcKZv Kv‡K e‡j? (L) Òivevi Gi †P‡q w÷j †ewk w ̄’wZ ̄’vcKÓÑ e ̈vL ̈v Ki| (M) P Zv‡ii cqmb AbycvZ wbY©q Ki| mgvavb: g‡b Kwi, mgvb •`N© ̈ L wewkó B ̄úvZ I ivev‡ii Zv‡i mgvb F cwigvY ej cÖ‡qvM Kiv n‡jv| G‡Z K‡i B ̄úv‡Zi Zv‡ii •`N© ̈ cÖmviY ls Ges ivev‡ii Zv‡ii •`N© ̈ cÖmviY lR| `yBwU Zv‡ii cÖ ̄’‡”Q‡`i †ÿÎdj A n‡j B ̄úv‡Zi Zv‡ii Bqs Gi ̧Yv1⁄4, YS  FL AlS Ges ivev‡ii Zv‡ii Bqs Gi ̧Yv1⁄4 YR  FL AlR n‡e| A_©vr, YS YR  FL AlS FL AlR  lR lS mgcwigvY ej cÖ‡qvM Kivq B ̄úvZ A‡cÿv ivevi †ewk cÖmvwiZ nIqvq lR > lS| A_©vr, lR lS > 1 myZivs, YS YR > 1  YS > YR B ̄úv‡Zi Bqs-Gi ̧Yv1⁄4 †ewk GRb ̈ ivev‡ii †P‡q †ewk w ̄’wZ ̄’vcK| (N) Q I R Zv‡ii g‡a ̈ †KvbwU †ewk w ̄’wZ ̄’vcK? MvwYwZK hyw3mn †Zvgvi gZvgZ `vI| [Abyiƒc P. †ev. 24] 9| GKwU Zv‡ii Avw` •`N© ̈ 826 cm Ges Zv‡ii e ̈vm 4 mm, Zv‡ii Bqs Gi ̧YvsK Y = 2  1011 N/m2 , ZviwUi •`N© ̈ 2 mm e„w× Ki‡Z cÖ‡qvRbxq fi hy3 Ki| [e. †ev. 24] (K) Bqs Gi ̧YvsK Kv‡K e‡j? (L) B ̄úv‡Zi Bqs-Gi ̧YvsK 2  1011 Nm2 ej‡Z Kx eySvq? e ̈vL ̈v Ki| [Abyiƒc iv. †ev. 24] (M) Kx cwigvY fi hy3 Kiv n‡qwQj wbY©q Ki| [e. †ev. 24] mgvavb: †`Iqv Av‡Q, Zv‡ii •`N© ̈, L  826 cm  8.26 m Zv‡ii •`N© ̈ e„w×, l  2mm  2  10–3 m Zv‡ii e ̈vm, D  4 mm  4  10–3 m Zv‡ii Bqs ̧Yv1⁄4, Y  2  1011 N/m2 Szjv‡bv fi, m  ? Avgiv Rvwb, Y  FL Al ev, FL  YAl ev, mgL  YAl ev, m  Y D 2 4 l gL     A   D 2 4 ev, m  YD 2 l 4gL  2  1011    (4  10–3 ) 2  2  10–3 4  9.8  8.26  m  62 kg A_©vr, ZviwU‡Z 62 kg fi hy3 Kiv n‡qwQj| (Ans.) (N) DÏxcK Abymv‡i ZviwUi •`N© ̈ e„w× Kiv‡Z e ̈vm 0.02 mm n«vm cvIqv m¤¢e wK? MvwYwZKfv‡e we‡kølY Ki| mgvavb: †`Iqv Av‡Q, ZviwUi Avw` •`N© ̈, L1  826 cm  8260 mm Avw` e ̈vm, D1  4 mm cwiewZ©Z •`N© ̈, L2  (8260 + 2) mm  8262 mm cwiewZ©Z e ̈vm, D2  ? GLb, weK...wZi Av‡M Zv‡ii AvqZb = weK...wZi ci Zv‡ii AvqZb [ AvqZb aaæeK _v‡K] ev, 1 4 D 2 1 L1  1 4 D 2 2 L2 ev, D 2 1 L1  D 2 2 L2 ev, D2  D1 L1 L2  4  8260 8262  3.9995 mm  e ̈vm n«vm, d  D1 – D2  (4 – 3.995) mm  0.0005 mm GLv‡b, d < 0.02 mm myZivs, DÏxcK g‡Z ZviwUi •`N© ̈ e„wׇZ e ̈vm 0.02 mm cvIqv m¤¢e bq| (Ans.) 10| 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| mgvavb: K...ZKvR, W = 1 2 Fl = 1 2  mg  l = 1 2  7  9.8  10–3 J  W = 0.034 J  A Zv‡i K...ZKv‡Ri cwigvY 0.034 J| (Ans.) (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| mgvavb: cqm‡bi AbycvZ  = – cvk¦© weK...wZ •`N© ̈ weK...wZ = – D D L L = dD D dL L V = r 2L V = L     D 2 2 V = D 2L 4