Title 5. Phy.-1st-Paper-For-FRB-2024_With Solve- Ridoy 11.01.25- OK.pdf ✅

2  HSC Physics 1st Paper Chapter-5 wØZxq cv‡¤úi †ÿ‡Î, wZb-PZz_©vsk cvwbi fi, m  3 4 v  3 4 r 2 h  m  3 4  1000    2 2  20  m  188495.56 kg fi‡K‡›`ai miY, h  20 4  20 2  h  12.5 m 12.5 m 5m 15m  wØZxq cv‡¤úi ÿgZv, P2  mgh t  188495.56  9.8  12.5 20  60 W  19242.255 W  19242.255 746 HP  P2 = 25.8 HP  P2 > P1 myZivs, Dfq cv‡¤úi g‡a ̈ wØZxq cv‡¤úi Ak¦ÿgZv †ewk| (Ans.) 3| A I B `ywU cvwbc~Y© Kzqv hv‡`i MfxiZv h_vμ‡g 12m I 10m Ges e ̈vm h_vμ‡g 1.8m I 2m| X I Y `ywU cv¤ú hv‡`i Kg©`ÿZv h_vμ‡g 70% I 60%| X cv¤úwU A Kzqv‡K 24 wgwb‡U cvwbk~b ̈ Ki‡Z cv‡i| Y cv‡¤úi ÿgZv 2.4 H.P| [iv. †ev. 24; Abyiƒc e. †ev. 24] (K) MwZkw3 Kv‡K e‡j? (L) k~b ̈ KvR e ̈vL ̈v Ki| (M) X cv¤úwUi ÿgZv wbY©q Ki| mgvavb: GLv‡b, A Kzqvi m¤ú~Y© cvwbi fi, m  V  r 2 h  1000    0.92  12  30536.28 kg fi‡K‡›`ai miY, h  0 + h 2  12 2  h = 6m  X cv¤úwUi jf ̈ Kvh©Ki ÿgZv, Pout  mgh t  30536.28  9.8  6 24  60  1246.89 W Avgiv Rvwb,   Pout Pin  Pin  Pout   1246.89 0.7  Pin  1781.27 W myZivs, X cv¤úwUi cÖK...Z ÿgZv 1781.27 W (Ans.) (N) X I Y cv¤ú Øviv B Kzqv‡K GKB mg‡q cvwbk~b ̈ Kiv hv‡e wK-bv? MvwYwZKfv‡e we‡kølYc~e©K gZvgZ `vI| mgvavb: B Kzqvi m¤ú~Y© cvwbi fi, m  V  r 2 h  1000    1 2  10  31415.92 kg fi‡K‡›`ai miY, h  0 + h 2  10 2  5 m Y cv¤úwUi jf ̈ Kvh©Ki ÿgZv, Pout  mgh t1 ......(i) Avgiv Rvwb,   Pout Pin    Pin  mgh t1 [(i) n‡Z]  t1  31415.92  9.8  5 0.6  2.4  746  1433 s  t1  23.88 min Avevi, ÔMÕ n‡Z cvB, X cv‡¤úi jf ̈ Kvh©Ki ÿgZv, P out  1246.89 W  P out  mgh t2  t2  31415.92  9.8  5 1246.89  t2  1234.576 s  t2  20.58 min  t1  t2 myZivs, X I Y cv¤ú Øviv B Kzqv‡K GKB mgq cvwbk~b ̈ Kiv hv‡e bv| (Ans.) 4| wP‡Îi MvwowUi fi 3000 kg Ges ÿgZv 152.18 kW, [g = 9.8 ms–2 ] [h. †ev. 24] 15 (Nl©Y D‡cÿYxq) A C B 500 m (K) Ak¦ ÿgZv Kv‡K e‡j? (L) cÖ`Ë kw3 I Kvh©Ki kw3i e ̈eavb †ewk n‡j h‡š¿i `ÿZv Kg n‡eÑ e ̈vL ̈v Ki| (M) MvwowU A n‡Z B †Z †h‡Z K...Z Kv‡Ri cwigvY wbY©q Ki| mgvavb: Avgiv Rvwb, K...ZKvR, W  ej  e‡ji Awfgy‡L mi‡Yi Dcvsk  mgsin  s  3000  9.8  sin(15)  500  3.804  106 J myZivs, MvwowU A n‡Z B †Z †h‡Z K...ZKv‡Ri cwigvc 3.804  106 J| (Ans.) (N) ÒAB iv ̄Ív eivei MvwowUi †eM 72 kmh–1 mxgv AwZμg Kiv m¤¢e bqÓÑ MvwYwZKfv‡e Dw3wUi mZ ̈Zv hvPvB Ki| mgvavb: Avgiv Rvwb, ÿgZv, P  W t = mgh t  P  mgABsin15 t  P = mgsin15  AB t  P = mgsin15  v  v = P mgsin15  v = 152.18  103 3000  9.8  sin15  v = 20ms–1 = 20  3600 1000 kmh–1 GLv‡b, Mvwoi fi m = 3000 kg ÿgZv, P = 152.18 kW = 152.18  103 W D”PZv, h = ABsin15 B A C h 15  v = 72 kmh–1 myZivs, ÒAB iv ̄Ív eivei MvwowUi †eM 72 kmh–1 mxgv AwZμg Kiv m¤¢e bqÓÑ Dw3wU h_v_©| (Ans.)
KvR, kw3 I ÿgZv  Final Revision Batch 3 5| cvwYc~Y© GKwU †PŠev”Pvi e ̈vmva© 2 wgUvi I D”PZv 20 wgUvi| †PŠev”PvwUi A‡a©K cvwbk~b ̈ Ki‡Z 75% Kg©`ÿZv m¤úbœ GKwU cv‡¤úi 20 wgwbU mgq jv‡M| [w`. †ev. 24] (K) UK© Kv‡K e‡j? (L) msiÿYkxj ej e ̄‘i MwZc‡_i Dci wbf©i K‡i bvÑ e ̈vL ̈v Ki| (M) cv¤úwUi ÿgZv H.P GKK KZ? mgvavb: †PŠev”Pvi A‡a©K cvwbi fi, m  V  r 2 h  1000    2 2  10  125663.7 kg fi‡K‡›`ai miY, h  0  h 2 2  20 4  5 m Avgiv Rvwb, Kg©`ÿZv,   Pout Pin  Pin  Pout   mgh t   mgh t  125663.7  9.8  5 20  60  0.75  6841.7 W  6841.7 746 HP  Pin  9.17 HP myZivs, cv¤úwUi ÿgZv 9.17 HP (Ans.) (N) †P.ev”Pvi evwK A‡a©K cvwb wb®..vkb ej‡Z cv¤úwUi GKB mgq jvM‡e wK-bv MvwYwZKfv‡e we‡kølY Ki| mgvavb: ÔMÕ n‡Z cvB, cv¤úwUi cÖ`Ë ÿgZv, Pin  6841.7 W †PŠev”Pvq A‡a©K cvwbi fi, m  125663.7 kg fi‡K‡›`ai miY, h  h 2  h 2  20 2  20 2  15 m Avgiv Rvwb, Kg©`ÿZv,   Pout Pin  Pout  Pin  mgh t  Pin  t  125663.7  9.8  15 0.75  6841.7  t  3600 s  t  60 min > 20 min myZivs, †PŠev”Pvi evwK A‡a©K cvwb wb®‹vkb Ki‡Z cv¤úwUi GKB mgq jvM‡e bv| (Ans.) 6| O R P Q 5 kg S 30 [wm. †ev., Kz. †ev. 24] (K) GK Ryj Kv‡K e‡j? (L) w ̄úas aaæeK 2200 Nm–1 ej‡Z Kx eySvq? e ̈vL ̈v Ki| (M) P we›`y‡Z wefekw3 wbY©q Ki| mgvavb: P we›`yi D”PZv, h  50 m  P we›`y‡Z e ̄‘i wefekw3, Ep  mgh  5  9.8  50  2450 J myZivs, P we›`y‡Z wefekw3 2450 J. (Ans.) (N) Q we›`y I R we›`y‡Z DÏxc‡Ki e ̄‘wUi †gvU kw3i AbycvZ 1 A‡cÿv †ewk n‡e wK-bv? MvwYwZKfv‡e we‡kølY Ki| mgvavb: Q we›`yi †ÿ‡Î, AP  OP – OA  OP – QB  50 – 20  30 m GLb, sin30  AP PQ P S O A 20 m Q 30 B  PQ  30 1 2  60 m  MwZkw3, Ek1  1 2 mv 2 1  1 2 m[u2 + 2gsin  PQ]  mgsin  PQ  5  9.8 sin30  60 [ u = 0]  1470 J  wefekw3, Ep 1  mg  QB  5  9.8  20  980 J  Q we›`y‡Z †gvU kw3, EQ  1470 + 980  2450 J R we›`yi †ÿ‡Î, PM  OP – OM  OP – RN  50 – 10  40 m  sin30  PM PR  PR  40 1 2  80 m P S O R 30 M N  MwZkw3, Ek2  1 2 mv 2 2  1 2 m [u 2 + 2gsin  PR]  mg sin  PR  5  9.8  sin30  80  1960 J  wefekw3, Ep 2  mg  RN  5  9.8  10  490 J  †gvU kw3, ER  1960 + 490  2450 J  EQ RR  2450 2450  1 myZivs, Q Ges R we›`y‡Z DÏxc‡Ki e ̄‘wUi †gvU kw3i AbycvZ 1 A‡cÿv †ewk n‡e bv| (Ans.) 7| 50 kg f‡ii GKRb kÖwgK 20 kg f‡ii GKwU e ̄‘ wb‡q wPÎvbyhvqx Xvj †e‡q Q we›`y‡Z †cuŠQvj| cÖ_‡g PQ c_ e ̈envi Kij| c‡i RQ c‡_ †Mj| Dfq †ÿ‡Î hw` †eM GKB Ges Q we›`y‡Z †eM k~b ̈| Q PQ = 5 m P R 35 55 [P. †ev. 24] (K) GK Ryj Kv‡K e‡j? (L) msiÿYkxj e‡ji wμqvq hvwš¿K kw3 msiwÿZ _v‡KÑ e ̈vL ̈v Ki|
4  HSC Physics 1st Paper Chapter-5 (M) P we›`y †_‡K Q we›`y‡Z †cu.Qv‡Z K...Z Kv‡Ri cwigvY wbY©q Ki| mgvavb: Avgiv Rvwb, K...ZKvR, W  ej  e‡ji Awfgy‡L mi‡Yi Dcvsk  mgsin  s  70  9.8  sin35  5  1967.36 J myZivs, P we›`y n‡Z Q we›`y‡Z †cuŠQv‡Z K...ZKv‡Ri cwigvY 1967.36 J. (Ans.) (N) †Kvb c‡_ †m Kg ÿgZv e ̈‡q Q we›`y‡Z †cu.Qv‡Z cvi‡e? MvwYwZK e ̈vL ̈v `vI| mgvavb: POQ G, sin35  QO PQ  QO  5sin35 Avevi, QOR G, sin55  QO QR Q P O 35 5m 55 R  QR  QO sin55  5sin35 sin55  3.5 m awi, PQ I QR c_ e ̈env‡i h_vμ‡g t1 I t2 mgq jv‡M| PQ      u + 0 2 t1 .....(i) QR      u + 0 2 t2 .....(ii) GLb, (ii)  (i) K‡i, t2 t1  QR PQ  3.5 5  0.7 Ges PQ c‡_ e ̈wqZ ÿgZv, P1  mg  QO t1 .....(iii) RQ c‡_ e ̈wqZ ÿgZv, P2  mg  QO t2 .....(iv) Avevi, (iii)  (iv) K‡i, P1 P2  t2 t1  0.7      t2 t1  0.7  P1 P2 < 1  P1 < P2 myZivs, PQ c‡_ †m Kg ÿgZv e ̈‡q Q we›`y‡Z †cuŠQv‡e| (Ans.) 8| GKwU cvwbc~Y© Kzqvi MfxiZv 15 m I e ̈vmva© 1 m| KzqvwU cvwbk~b ̈ Kivi Rb ̈ 6 HP ÿgZvi GKwU cv¤ú jvMv‡bv n‡jv| A‡a©K cvwb DVv‡bvi ci cv¤úwU bó n‡q †Mj| evwK cvwb †Zvjvi Rb ̈ GKB ÿgZvm¤úbœ Av‡iv GKwU cv¤ú jvMv‡bv nj| [Xv. †ev. 23] (K) RoZvi åvgK Kv‡K e‡j? (L) †Kv‡bv e ̄‘i MwZkw3i mv‡_ fi‡e‡Mi m¤úK© †jLwP‡Îi mvnv‡h ̈ e ̈vL ̈v K‡iv| (M) cÖ_g cv‡¤úi Øviv K...ZKvR wbY©q K‡iv| mgvavb: cÖ_g cv‡¤úi Øviv K...ZKvR, W1 = mgh h = fi‡K‡›`ai miY = r 2h 2   g  h 4 = 3.1416  1  15 2  9.8  15 4  1000 = 865903.5 J (Ans.) (N) cv¤ú `ywU Øviv cvwb Zzj‡j mgq GKB jvM‡e wK? MvwYwZK we‡kølY Ki| mgvavb: 1g cv¤úwUi †ÿ‡Î, P = mgh t1  t1 = 86590.5 6  746  t1 = 193.45 s 2q cv¤úwUi †ÿ‡Î K...ZKvR, W2 = mgh = r 2 h 4  g      h 2 + h 4 = 2597710.5  t2 = 2597710.5 6  746 = 580.36 s h 2 h 2  cv¤ú 2wU Øviv cvwb Zzj‡Z GKB mgq jvM‡e bv| (Ans.) 9| [iv. †ev. 23] Aa = 4ms –2 m = 20 kg a = 4ms–2 C B m = 20 kg 45 20 kg f‡ii GKwU e ̄‘‡K wPÎvbyhvqx A we›`y †_‡K B we›`y‡Z DVv‡bv n‡jv| GKB f‡ii Aci GKwU e ̄‘‡K C †_‡K B we›`y‡Z †bqv n‡jv| (K) msiÿYkxj ej Kv‡K e‡j? (L) miY ebvg MwZkw3i †jLwP‡Îi XvjwU ej wb‡`©k K‡iÑ e ̈vL ̈v Ki| (M) cÖ_g †ÿ‡Î Kv‡Ri cwigvY wbY©q Ki| mgvavb: WAB = Fh = m  (g + a)  h = 20  (9.8 + 4) h = 276 h (Ans.) (N) cÖ_g I wØZxq †Kvb †ÿ‡Îi e ̄‘wU‡K wb‡q hvIqv mnR n‡q‡Q? MvwYwZKfv‡e †`LvI| mgvavb: A gsin45 C B 45 h gcos45 45 g C n‡Z B we›`y‡Z e ̄‘wU‡K Avbvi †ÿ‡Î, Kvh©Ki Z¡iY, g = gsin 45 + a = 10.93 ms–2 Avevi, CB = h sin45 = 1.41421 h  WCB = 20  10.93  1.41142 h = 309.1470 h  1g e ̄‘wU‡K wb‡q hvIqv mnR n‡q‡Q| (Ans.)