Nội dung text 6. P2C6. HSC Prep Papers, জ্যামিতিক আলোকবিজ্ঞান With.pdf
R ̈vwgwZK Av‡jvwKeÁvb HSC Prep Papers....................................................................................................................................1 Rhombus Publications R ̈vwgwZK Av‡jvwKeÁvb Geometrical Optics lô Aa ̈vq weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ cÖkœ1 GKRb QvÎ 100 cm †dvKvm `~i‡Z¡i GKwU †jÝ wb‡q 0.01 cm ˆ`‡N© ̈i KYv cixÿv KiwQj| c‡i †m GKwU b‡ji GK cÖv‡šÍ GB †jÝ I Ab ̈ cÖv‡šÍ 4 cm †dvKvm `~i‡Z¡i Ab ̈ †jÝ jvwM‡q AvKvk ch©‡eÿY Kij| [Xv. †ev. 19] (K) cig cÖwZmivsK Kv‡K e‡j? (L) †j‡Ýi †dvKvm `~iZ¡ AvcwZZ Av‡jvi e‡Y©i Dci wbf©ikxjÑ e ̈vL ̈v Ki| (M) †QvU KYv ̧‡jv‡K KZ eo †`Lvw”Qj? mgvavb: †`Iqv Av‡Q, †j‡Ýi †dvKvm `~iZ¡, f = 100 cm KYvi ˆ`N© ̈, l = 0.01 cm ̄úó `k©‡bi wbKUZg `~iZ¡, D = 25 cm Avgiv Rvwb, M = 1 + D f = 1 + 25 100 l l = 1.25 l = 1.25 l = 1.25 0.01 = 0.0125 cm (Ans.) (N) bj e ̈envi Kivi ci AvKv‡ki †Kv‡bv e ̄‘‡K †`L‡Z PvB‡j †Kvb †dvKvwms G †ewk eo †`Lv‡e MvwYwZKfv‡e hvPvB Ki| mgvavb: †`Iqv Av‡Q, Awfj‡ÿ ̈i †dvKvm `~iZ¡, f0 = 100 cm Awf‡b‡Îi †dvKvm `~iZ¡, fe = 4 cm ̄úó `k©‡bi wbKUZg `~iZ¡, D = 25 cm Amxg `~iZ¡ ev ̄^vfvweK `k©b †dvKvwms Gi †ÿ‡Î ˆiwLK weea©b, M = f0 fe = 100 4 = 25 ̄úó `k©b †dvKvwms ev wbKU †dvKvwms Gi †ÿ‡Î ˆiwLK weea©b, M = f0 fe 1 + fe D = 100 4 1 + 4 25 = 29 ∵ M > M myZivs wbKU †dvKvwms G e ̄‘ †ewk eo †`Lv‡e| (Ans.) cÖkœ2 15 cm I 30 cm eμZvi e ̈vmva©wewkó GKwU D‡fvËj †j‡Ýi mvg‡bi 60 cm `~‡i GKwU e ̄‘ ̄’vcb Ki‡j 30 cm wcQ‡b cÖwZwe¤^ cvIqv hvq| [iv. †ev., P. †ev. 19] (K) `„wó‡KvY Kv‡K e‡j? (L) Awfj‡ÿ ̈i †dvKvm ˆ`N© ̈ Kgv‡j AYyexÿYh‡š¿i weea©b Kxfv‡e cwiewZ©Z nq? (M) †jÝwUi Dcv`v‡bi cÖwZmiv1⁄4 wbY©q Ki| mgvavb: †`Iqv Av‡Q, D‡fvËj †j‡Ýi 1g c„‡ôi eμZvi e ̈vmva©, r1 = 15 cm 2q c„‡ôi eμZvi e ̈vmva©, r2 = –30 cm jÿ ̈e ̄‘i `~iZ¡, u = 60 cm cÖwZwe‡¤^i `~iZ¡, v = 30 cm †j‡Ýi Dcv`v‡bi cÖwZmiv1⁄4, = ? Avgiv Rvwb, 1 f = ( – 1) 1 r1 – 1 r2 1 u + 1 v = ( – 1) 1 r1 – 1 r2 – 1 = 1 u + 1 v 1 r1 – 1 r2 = 1 60 + 1 30 1 15 + 1 30 + 1 = 1.5 (Ans.) (N) DÏxc‡Ki Ab ̈vb ̈ kZ©vewj wVK †i‡L Kx e ̈e ̄’v wb‡j †bÝwUi ÿgZv 1.54 D Kiv hvq? MvwYwZKfv‡e e ̈vL ̈v Ki| mgvavb: †`Iqv Av‡Q, †j‡Ýi cwieZwZ©Z ÿgZv, P = 1.54 D = 0.6494 m = 64.94 cm ÔMÕ bs n‡Z, †jÝwUi Dcv`v‡bi cÖwZmiv1⁄4, = 1.5 g‡b Kwi, †jÝwU‡K cÖwZmiv‡1⁄4i gva ̈‡g wb‡q †M‡j Gi ÿgZv 1.54 D n‡e| GLv‡b, 1 f = – 1 1 r1 – 1 r2 1 64.94 = 1.5 – 1 1 15 + 1 30 1.5 = 1 64.94 1 15 + 1 30 + 1 = 1.3 AZGe, †jÝwU‡K 1.3 cÖwZmiv‡1⁄4i gva ̈‡g wb‡q †M‡j Gi ÿgZv 1.54 D n‡e| (Ans.)