Title 7. P2C7 Physical Optics-2024_Without Solve_Riody_26.04.25.pdf ✅

†f.Z Av‡jvKweÁvb  Final Revision Batch 1 mßg Aa ̈vq †f.Z Av‡jvKweÁvb Physical Optics Topicwise CQ Trend Analysis UwcK 2016 2017 2018 2019 2021 2022 2023 2024 †gvU Av‡jvi e ̈wZPvi: aviYv, Bqs Gi wØ wPo cixÿv 2 Ñ 1 4 9 21 16 53 Av‡jvi AceZ©b Ñ 1 Ñ 1 Ñ 6 Ñ 8 AceZ©b †MÖwUs Ñ Ñ Ñ 1 Ñ Ñ Ñ 1 Av‡jvi mgeZ©b Ñ Ñ Ñ Ñ Ñ 3 Ñ 3 * we.`a.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb| weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 1| evqy‡Z Bqs Gi wØwPo cixÿvq `ywU wP‡oi ga ̈eZx© `~iZ¡ 0.4 mm Ges wPo n‡Z c`©vi `~iZ¡ 1m| †K›`axq D3⁄4¡j †Wviv n‡Z 12 Zg D3⁄4¡j †Wvivi `~iZ¡ 9.3 mm cieZ©x‡Z cixÿYwU cvwb‡Z m¤úbœ Kiv n‡jv| cvwbi cÖwZmivsK 4 3 | [e. †ev. 24] (K) mgeZ©b Kv‡K e‡j? (L) c‡qw›Us †f±i e ̈vL ̈v Ki| (M) evqy‡Z e ̈eüZ Av‡jvi Zi1⁄2‣`N© ̈ wbY©q Ki| [Abyiƒc P. †ev. 24 (M)] (N) cvwb‡Z †K›`axq D3⁄4¡j †Wviv n‡Z 9.3 mm `~i‡Z¡ D3⁄4¡j †Wvivi msL ̈vi cwieZ©b n‡e wKÑ bv hvPvB Ki| DËi: cvwb‡Z †K›`axq D3⁄4¡j †Wviv †_‡K 16 Zg D3⁄4¡j †Wvivi `~iZ¡ 9.3 mm| A_©vr †Wvivi msL ̈v cwiewZ©Z n‡e| 2| wP‡Î †K›`axq Pig we›`yO n‡Z 4_© Pig we›`y P Gi `~iZ¡ 6 mm| [P. †ev. 24] A 1 m B 0.04 mm 6 mm O †K›`axq Pig we›`y P (K) †MawUs aaæeK Kv‡K e‡j? (L) `kv cv_©K ̈ c_ cv_©‡K ̈i 2  ̧Y e ̈vL ̈v Ki| (M) DÏxc‡K e ̈eüZ Av‡jvi Zi1⁄2 •`N© ̈ wbY©q Ki| DËi: 600 A° (N) DÏxc‡Ki wPiØq n‡Z c`©vi `~iZ¡ A‡a©K Kiv n‡j, †Wvivi e ̈eavb eZ©gvb †Wvivi cÖ‡ ̄ i mgvb n‡e wK bv? MvwYwZKfv‡e we‡kølY Ki| DËi: wPoØq n‡Z c`©vi `~iZ¡ A‡a©K Kiv n‡j †Wviv e ̈eavb eZ©gvb †Wviv cÖ‡ ̄’i mgvb n‡e| 3| Av‡jvi e ̈wZPvi cixÿv Kivi Rb ̈ QvÎiv `ywU mymsMZ Drm e ̈envi Kij| Drm n‡Z wbM©Z Av‡jvi Zi1⁄2‣`N ̈© 4500 A| Drm n‡Z c`©vi `~iZ¡ 1 m Ges †Wvivi cÖš’ 5 mm| [Kz. †ev. 24] (K) c‡qw›Us †f±i Kv‡K e‡j? (L) e ̈wZPvi cixÿvq mymsMZ Av‡jvi Drm e ̈envi Kiv nq †Kb? e ̈vL ̈v Ki| (M) D3 Drm n‡Z wbM©Z †dvU‡bi kw3 wnmve Ki| DËi: 4.42  10–19 J (N) c`©vi †K›`a n‡Z 6.38 mm `~‡i †Kvb ai‡bi †Wviv m„wó n‡e Zvi MvwYwZK we‡kølY `vI| DËi: c`©vi †K›`a †_‡K 6.38 mm `~‡i cÖ_g AÜKvi †Wviv m„wó n‡e| 4| S1 S2 P O c`©v (†K›`axq D3⁄4j †Wviv) c`v_©weÁvb M‡elYvMv‡i Bq-Gi wØ-wPo cixÿvwU m¤úbœ Ki‡Z 2.95 mm e ̈eav‡bi wPoØq †_‡K 1 m `~‡i ̄’vcb Kiv nj| P we›`y‡Z m„ó †Wvivi †ÿ‡Î e ̈eüZ Av‡jvi Zi1⁄2‣`N© ̈ wQj 5900 A  Ges Zi1⁄2؇qi c_ cv_©K ̈ cvIqv †Mj 2.36  10–6 m| [Xv. †ev. 24] (K) mymsMZ Drm Kx? (L) m~h© †_‡K AvMZ Zi1⁄2gy‡Li cÖK...wZ Kxiƒc n‡e? e ̈vL ̈v K‡iv| (M) DÏxc‡K c`©vq m„ó †Wvivi e ̈eavb wbY©q Ki| DËi: 2  10–4 m (N) P we›`y‡Z Kx ai‡bi e ̈wZPvi m„wó n‡e? MvwYwZKfv‡e we‡kølY Ki| DËi: P we›`y‡Z MVbg~jK e ̈wZPvi m„wó n‡e| 5| Bqs Gi wØ-wPo cixÿvq wPo؇qi ga ̈eZ©x `~iZ¡ 0.04 mm Ges wPo n‡Z c`©vi `~iZ¡ 1.2 m| e ̈eüZ Av‡jvi Zi1⁄2‣`N© ̈ 3800 A  | †K›`axq D3⁄4¡j we›`y Dfq cv‡k 9.12 mm ch©šÍ Av‡jvi we ̄Í...wZ cvIqv hvq| [GKwU wP‡oi cÖ ̄’ 0.1 mm] [w`. †ev. 24] (K) AšÍt ̄ kw3 Kx? (L) UavbwR÷‡ii †em cvZjv Kiv nq †Kb? e ̈vL ̈v Ki|

†f.Z Av‡jvKweÁvb  Final Revision Batch 3 12| 1 mm S1 S2 1 m O †K›`axq D3⁄4¡j †Wviv M < N [Kz. †ev. 23] evqy gva ̈‡g Bqs-Gi wØwPo cixÿvq e ̈eüZ Av‡jvi Zi1⁄2 •`N© ̈  = 3800 A o Ges S2P – S1P = 6| (K) †MÖwUs aaæeK Kv‡K e‡j? (L) d«bndvi †kÖwY AceZ©‡b DËj †jÝ e ̈envi Kiv nq †Kb? e ̈vL ̈v K‡i| (M) wP‡Î O Ges P we›`yi ga ̈Kvi `~iZ¡ wbY©q K‡iv| DËi: 2.28  10–3 m (N) mgMÖ cixÿvwU 1.30 cÖwZmiv‡1⁄4i †Kv‡bv gva ̈‡g m¤úbœ Kiv n‡j 12Zg AÜKvi †Wvivi †K.wYK Ae ̄ v‡bi Kx cwieZ©b n‡e? MvwYwZKfv‡e we‡kølY K‡iv| DËi:  < ; A_©vr 1.3 cÖwZmiv‡1⁄4 12 Zg AÜKvi †Wvivi †K.wYK Ae ̄’vb c~‡e©i †P‡q n«vm cv‡e| 13| wP‡Î Bqs Gi wØ-wPo cixÿvi GKwU e ̈e ̄’v †`Lv‡bv n‡jv| wP‡o 3100 A o Zi1⁄2‣`‡N© ̈i Av‡jv †djv n‡j c`©vi †K›`a n‡Z Dfq w`‡K 10 wU †Wviv †`Lv †Mj| [h. †ev. 23] a = 0.4 mm S1 S2 P O x10 D = 1m (K) mym1⁄2Z Drm Kx? (L) †iW‡bi Aa©vqy 3.82 w`b ej‡Z Kx eySvq? (M) c`©vq 10 Zg D3⁄4¡j †Wvivi †K.wYK miY KZ? DËi: 0.444 (N) DÏxc‡K wPo `ywUi e ̈eavb A‡a©K Kiv n‡j c`©vq †Wvivi msL ̈vi Kx cwieZ©b n‡e? MvwYwZK we‡kølY Ki| DËi: N < N; A_©vr wPo `ywUi e ̈eavb A‡a©K Kiv n‡j c`©vq †Wvivi msL ̈v c~‡e©i †P‡q n«vm cv‡e| 14| Bqs Gi wØwPo cixÿvq wPo؇qi ga ̈eZ©x e ̈eavb 1 mm Gi †_‡K c`©vi `~iZ¡ 1 m| e ̈eüZ Av‡jvi Zi1⁄2 •`N© ̈ 6000 A o | [P. †ev. 23] (K) Zi1⁄2 gyL Kx? (L) my-msMZ Dr‡mi •ewkó ̈ e ̈vL ̈v Ki| (M) DÏxc‡Ki c`©vq m„ó †Wviv ̧‡jvi cÖ ̄ KZ? DËi: 3  10–4 m (N) DÏxc‡Ki wPo `ywUi ga ̈eZ©x `~iZ¡, e ̈eüZ Av‡jvi Zi1⁄2 •`‡N© ̈i wØ ̧Y n‡j c`©vq m‡e©v”P KqwU D3⁄4¡j †Wviv cvIqv m¤¢e? †Zvgvi DËi MvwYwZK we‡køl‡Y `vI| DËi: DÏxc‡Ki wPo `ywUi ga© ̈eZ©x `~iZ¡, e ̈eüZ Av‡jvi Zi1⁄2 •`‡N© ̈i wØ ̧Y n‡j c`©vq m‡e©v”P 5wU D3⁄4¡j †Wviv cvIqv m¤¢e| 15| S1 D = 1m S2 P O [P we›`y‡Z `kv cv_©K ̈ = 6, Av‡jvi K¤úv1⁄4 = 1016 Hz, S1S2 = 1 mm, cvwbi cÖwZmiv1⁄4 = 1.33|] wP‡Î Bqs Gi wØ-wPo cixÿvi Z_ ̈ †`qv n‡jv| [e. †ev. 23] (K) Av‡jvi mgeZ©b Kx? (L) Bqs-Gi wØwPo cixÿvq e ̈wZPvi Svj‡ii †K›`axq cwÆi J3⁄4¡j ̈ Ab ̈vb ̈ D3⁄4¡j †Wvivi †P‡q †ewk †Kb? (M) O I P we›`yi ga ̈Kvi `~iZ¡ wbY©q Ki| DËi: 9  10–5 m (N) cixÿvwU cvwb‡Z m¤úbœ Ki‡j †Wvivi cÖ‡ ̄ i cwieZ©b MvwYwZKfv‡e we‡kølY Ki| DËi: x2 < x1; A_©vr cixÿvwU cvwb‡Z m¤úbœ Ki‡j †Wvivi cÖ ̄’ c~‡e©i Zzjbvq n«vm cv‡e| 16| c`v_©weÁvb j ̈v‡ei Bqs Gi wØwPo cixÿvq GKeY©x 5890 A o Zi1⁄2‣`‡N© ̈i Av‡jvK Drm wPoØq 0.8 mm e ̈eav‡b Ges c`©v wPoØq n‡Z 1 m `~i‡Z¡ Av‡Q| wigv c`©v‡K wPo؇qi w`‡K 5.2 cm mwi‡q Ges mxgv c`©v‡K wecixZ w`‡K 5.2 cm mwi‡q e ̈wZPvi m3⁄4v ch©‡eÿY K‡i| wigv †Wvivi cÖ‡ ̄’i cwieZ©b 0.02 mm †`Lj| [wm. †ev. 23] (K) Av‡jvi mgeZ©b Kv‡K e‡j? (L) d«bdvi †kÖwYi AceZ©‡b DËj †jÝ e ̈envi Kiv nq †Kb? e ̈vL ̈v K‡iv| (M) c`©vi cÖv_wgK Ae ̄ v‡b cÖwZwU †Wvivi cÖ ̄ wbY©q K‡iv| DËi: 3.681  10–4 m (N) wigvi cixÿvi †K›`axq D3⁄4¡j cwÆ n‡Z Z...Zxq AÜKvi cwÆi `~iZ¡ cÖv_wgK Ae ̄ vb †_‡K hZUzKz K‡g mxgvi cixÿvq ZZUzKz e„w× cvqÑ MvwYwZKfv‡e hvPvBc~e©K we‡kølY K‡iv| DËi: wigvi cixÿvq †K›`axq D3⁄4¡j cwÆ n‡Z Z...Zxq AÜKvi cwUi `~iZ¡ cÖv_wgK Ae ̄’vb †_‡K hZUzKz Kg nq mxgvi cixÿvq ZZUzKz e„w× cvq| 17| Bqs Gi wØ-wPo cixÿvq 5890 A  Av‡jv e ̈env‡i wPiØq †_‡K 1.5 m `~‡i ̄’vwcZ c`©vq e ̈wZPvi m3⁄4v m„wó Kiv n‡jv| wPi؇qi ga ̈eZ©x `~iZ¡ 1 mm| [w`. †ev. 23; g. †ev. 23] (K) nvB‡Mb‡mi bxwZ †jL| (L) Aby‣`N© ̈ Zi1⁄2 mgeZ©xZ nq bv †Kb? e ̈vL ̈v Ki| (M) cÖ_g D3⁄4¡j †Wvivi †K.wYK we ̄Ívi wbY©q Ki| DËi: 0.067 (N) wPi I c`©vi Ae ̄ vb AcwiewZ©Z †i‡L `kg D3⁄4¡j †Wvivi Ae ̄ v‡b 15Zg AÜKvi †Wviv m„wó Kiv hv‡e Kx? MvwYwZKfv‡e e ̈vL ̈v `vI| DËi: 4.062  10–10 m Zi1⁄2‣`‡N© ̈i Av‡jvi e ̈envi K‡i `kg D3⁄4¡j †Wvivi Ae ̄’v‡b 15 Zg AÜKvi †Wviv m„wó Kiv hv‡e|
4  HSC Physics 2nd Paper Chapter-7 18| [Xv. †ev. 22; iv. †ev. 22] 0.2 mm S1 S2 1m c`©v Bqs Gi wØ-wPo cixÿvq 5800 A  Zi1⁄2‣`‡N© ̈i Av‡jv e ̈envi Kiv n‡q‡Q| cieZ©x‡Z wØ-wPowU 0.2 mm cÖ‡ ̄’i GKK wPo Øviv cÖwZ ̄’vcb Kiv n‡jv| (K) mZ ̈K mviwY Kx? [Aa ̈vq-10] (L) m~h© †_‡K AvMZ Av‡jvi Zi1⁄2gy‡Li cÖK...wZ Kxiƒc n‡e? e ̈vL ̈v Ki| (M) e ̈wZPvi Svj‡ii cÖ ̄ wbY©q Ki| DËi: 2.9 mm (N) Dfq‡ÿ‡Î GKB Zi1⁄2‣`‡N© ̈i Av‡jvi Rb ̈ 1g Pi‡gi †K.wYK we ̄Ívi Awfbœ n‡e wK bv? MvwYwZKfv‡e e ̈vL ̈v Ki| DËi: Dfq‡ÿ‡Î GKB Zi1⁄2‣`‡N© ̈i Av‡jvi Rb ̈ 1g Pi‡gi †K.wYK we ̄Ívi Awfbœ n‡e bv| 19| cixÿvMv‡i GKwU d«bndvi †kÖwYi GKK wP‡oi `iæb AceZ©b cixÿvq 5890Å Zi1⁄2‣`‡N© ̈i Av‡jv e ̈envi Kiv n‡jv| wØZxq μ‡gi Pi‡gi Rb ̈ AceZ©b †KvY 10 cvIqv †Mj Ges `kg Aeg we›`ywU cvIqvi †Póv Kiv n‡jv| [Kz. †ev. 22] (K) GK Kzj¤^ Kx? [Aa ̈vq-2] (L) `ywU we›`yi wefe cv_©K ̈ 6V ej‡Z Kx eySvq? [Aa ̈vq-3] (M) wP‡oi †ea wbY©q Ki| DËi: 8.48  10–6 m| (N) cixÿ‡Y `kg Aeg we›`ywU cvIqvi †Póv mdj n‡qwQj wK? MvwYwZK hyw3mn †Zvgvi gZvgZ `vI| DËi:  = 49.823 > 90; A_©vr `kg Aeg we›`ywU cvIqvi †Póv mdj n‡qwQj| 20| Bqs Gi wØ-wPo cixÿvq wPo `ywUi ga ̈eZ©x `~iZ¡ 2.5 mm| e ̈eüZ Av‡jvi Zi1⁄2‣`N© ̈ 5840Å wP‡oi ga ̈eZ©x A‡j AvcwZZ Kivi d‡j c`©vi Dci ch©vqμ‡g D3⁄4¡j I AÜKvi cwÆi m„wó nq| †K›`axq D3⁄4¡j cwÆ n‡Z cÖ_g D3⁄4¡j cwÆi ga ̈eZ©x `~iZ¡ 0.4672 mm| [h. †ev. 22] (K) m~Pb K¤úvsK Kv‡K e‡j? [Aa ̈vq-8] (L) wbDwK¬qvi wdkvb I wdDkvb wewμqvi †KvbwU AwaK wbivc`Ñ e ̈vL ̈v Ki| [Aa ̈vq-9] (M) DÏxc‡Ki Av‡jv‡K wPo †_‡K c`©vi `~iZ¡ KZ cvIqv hv‡e| DËi: 2 m (N) †K›`axq Pig †_‡K 5.1392 mm `~i‡Z¡ KZZg D3⁄4¡j †Wvivi m„wó n‡eÑ MvwYwZK we‡køl‡Yi gva ̈‡g †`LvI| DËi: n = 11; A_©vr 5.1392 mm `~i‡Z¡ 11 Zg D3⁄4¡j †Wvivi m„wó K‡i| 21| Bqs Gi wØ-wPo cixÿvq wPo `ywUi e ̈eavb 0.3 mm Ges c`©vi `~iZ¡ 160 cm| wbw`©ó Zi1⁄2‣`‡N© ̈i Av‡jv wP‡oi Dci †djv n‡j c`©vi †K›`a n‡Z Dfq cv‡k¦© 12wU D3⁄4¡j †Wviv †`Lv hvq| [P. †ev. 22] (K) †ZRw ̄...qZv Kv‡K e‡j? [Aa ̈vq-9] (L) nvB‡M‡bi bxwZ e ̈vL ̈v Ki| (M) Av‡jvi Zi1⁄2‣`‡N© ̈i gvb wbY©q Ki| DËi:  = 2.5  10–5 m| (N) GKB msL ̈K D3⁄4¡j †Wviv cvIqvi Rb ̈ wP‡oi e ̈eavb A‡a©K Kiv n‡j Zi1⁄2‣`‡N© ̈i Kxiƒc cwieZ©b Ki‡Z n‡e? MvwYwZKfv‡e we‡kølY Ki| [ms‡kvwaZ] DËi: GKB msL ̈vK D3⁄4¡j †Wviv cvIqvi Rb ̈ wP‡oi e ̈eavb A‡a©K Kiv n‡j Zi1⁄2 •`‡N© ̈i gvb c~‡e©i A‡a©K n‡q hv‡e| 22| wiqv Ges wicv `ywU AceZ©b †MÖwUs wb‡q cixÿv KiwQj| wiqvi †MÖwUs Gi cÖwZ †mw›UwgUv‡i `vMmsL ̈v 6000| Gi wfZ‡i Kgjv i‡Oi Av‡jv †djv n‡jv| Aciw`‡K wicvi †MÖwUs-Gi †MÖwUs aaæeK 1.6 × 10–6 m| †m meyR Av‡jv wb‡q cixÿv KiwQj| wiqv ejj cÖ_g D3⁄4¡j †iLvi Rb ̈ AceZ©b †KvY Avgvi †ÿ‡Î †ewk n‡e| wicv ejj, †`Lv hvK| Av‡jvi eY© Zi1⁄2‣`N© ̈ (Å) Kgjv 6000 meyR 5000 †e ̧wb 4000 [e. †ev. 22] (K) Zi‡1⁄2i e ̈wZPvi Kv‡K e‡j? (L) Av‡jvK eQi Avm‡j mgq bqÑ e ̈vL ̈v Ki| (M) †e ̧wb Av‡jvi †ÿ‡Î GKwU †dvU‡bi kw3 wbY©q Ki| [Aa ̈vq-8] DËi: 4.973  10–19 J (N) wiqvi Dw3 h_v_© wKbv? wnmve Ki| DËi: wiqvi Dw3 h_v_© wQj| 23| GK`j wkÿv_©x c`v_©weÁvb M‡elYvMv‡i Bqs Gi wØ-wPo cixÿvwU m¤úbœ Kivi Rb ̈ wPo `yÕwUi ga ̈eZ©x `~iZ¡ 2mm Ges wPo †_‡K c`©vwU‡K 1m `~‡i ̄’vcb Kij| cixÿvq e ̈eüZ Av‡jvi Zi1⁄2‣`N© ̈ wQj 5900Å Ges wPo `ywU †_‡K wbtm„Z Av‡jvi Zi1⁄2؇qi c_ cv_©K ̈ †cj 1.5  10–6m| [wm. †ev. 22] (K) nvB‡M‡bi bxwZ †jL| (L) Bqs Gi wØ-wPo cixÿvq e ̈eüZ `ywU wP‡oi GKwU eÜ K‡i w`‡j c`©vq †Wvivi Kxiƒ cwieZ©b †`Lv hv‡e? e ̈vL ̈v Ki| (M) DÏxc‡K c`©vq m„ó †Wvivi e ̈eavb wbY©q Ki| DËi: 2.95  10–4 m (N) wkÿv_©x‡`i Bqs Gi wØ-wPo cixÿvq c`©vq †Kvb ai‡bi e ̈wZPvi m„wó n‡qwQj? Zvi MvwYwZK we‡kølY `vI| DËi: Bqs-Gi wØ-wPo cixÿvq c`©vq aŸsmvZ¥K e ̈wZPvi m„wó n‡qwQj|