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Nội dung text 8. P2C8 (Beginning of Modern Physics)_With Solve_Ridoy15.12.24.pdf

AvaywbK c`v_©weÁv‡bi m~Pbv  Varsity Practice Sheet ......................................................................................................... 1 MCQ weMZ mv‡j DU-G Avmv cÖkœvejx 1. GKwU avZzi Ici meyR Av‡jv AvcwZZ n‡j d‡UvB‡jKUab wbM©Z nq| wb‡Pi †Kvb e‡Y©i Av‡jv AvcwZZ n‡j H Zj †_‡K Aek ̈B d‡UvB‡j±ab wbM©Z n‡e? [DU 23-24] jvj (Red) njy` (Yellow) bxj (Blue) Kgjv (Orange) DËi: bxj (Blue) e ̈vL ̈v: †e = †e ̧bx bx = bxj Av = Avmgvbx m = meyR n = njy` K = Kgjv jv = jvj wb‡Pi w`‡K †h‡Z _vK‡j  evo‡Z _vK‡e, E Kg‡Z _vK‡e| E 2. GKwU †Ua‡bi w ̄’i Ae ̄’vq •`N© ̈ n‡jv 100 m| GwU AwZ D”P †e‡M 80 m •`‡N© ̈i GKwU myo‡1⁄2i ga ̈ w`‡q hvq| myo‡1⁄2i `yB cÖv‡šÍ Aew ̄’Z ch©‡eÿKiv jÿ K‡ib †h, GKwU g~û‡Z© †UabwUi •`N© ̈ wVK myo‡1⁄2i •`‡N© ̈i mgvb nq| c-Gi GK‡K †Uab Gi †eM KZ? [DU 22-23] 0.866c 0.333c 0.5c 0.6c DËi: 0.6c e ̈vL ̈v: L = L0 1 – v 2 c 2  80 = 100 1 – v 2 c 2  (0.8)2 = 1 – v 2 c 2  1 – 0.82 = v 2 c 2 [0.62 + 0.82 = 1]  v = 0.6c 3. GKwU B‡jKUab‡K V wefe cv_©‡K ̈i g‡a ̈ ivL‡j, B‡jKUa‡bi †eM v Ges cÖhy3 wefe cv_©‡K ̈i g‡a ̈ m¤úK© †KvbwU? [DU 21-22] v = eV m v = 2eV m v = eV2 m v = 1 2 mV2 DËi: v = 2eV m 4. GKwU e ̄‘KYvi †gvU kw3 Gi w ̄’i fi kw3i wØ ̧Y| Av‡jvi `aæwZ c n‡j, KYvwUi `aæwZ KZ? [DU 21-22] 2c 3 3 2 c 2c DËi: 3 2 c e ̈vL ̈v: E = 2E0  mc2 = 2m0c 2  m0 1 – v 2 c 2 = 2m0  1 4 = 1 – v 2 c 2  v 2 c 2 = 3 4  v = 3 2 c 5. GKwU avZzi Kvh©v‡cÿK 6.63 eV| avZzwUi †ÿ‡Î d‡UvB‡jKUab wbtmi‡Yi m~Pb K¤úv1⁄4 KZ? [cøv‡1⁄4i aaæeK = 6.63  10–34 Js] [DU 17-18] 16  1014 Hz 16  10–14 Hz 1.6  10–19 Hz 1.6  1019 Hz DËi: 16  1014 Hz e ̈vL ̈v:  = hf0  f0 =  h = 6.63  1.6  10–19 6.63  10–34 = 1.6  1015 Hz 6. 9.11  10–31 kg fiwewkó B‡jKUab hw` 2.5  106 ms–1 †e‡M P‡j Zvn‡j Gi Rb ̈ wW-eaMwj Zi‡1⁄2i Zi1⁄2‣`N© ̈ KZ n‡e? [DU 16-17] 2.9  10–4 m 2.4  10–8 m 2.9  10–10 m 2.4  10–39 m DËi: 2.9  10–10 m e ̈vL ̈v:  = h mv = 6.626  10–34 9.1  10–31  2.5  106 = 2.9125  10–10 m

AvaywbK c`v_©weÁv‡bi m~Pbv  Varsity Practice Sheet ........................................................................................................ 3 5. 6.63  10–19 J kw3wewkó †dvU‡bi Zi1⁄2‣`N© ̈ KZ nm? [GST-A 20-21] 300 600 800 900 DËi: 300 e ̈vL ̈v: E = hf = hc    = hc E = 6.63  10–34  3  108 6.63  10–19 = 3  10–7 m = 3  10–7  109 nm = 300 nm weMZ mv‡j JU-G Avmv cÖkœvejx 1. †Kv‡bv GK e ̈w3 Av‡jvi MwZi KvQvKvwQ MwZ‡Z ågY Ki‡j, Zvi Kv‡Q mgq g‡b n‡eÑ [JU 22-23] Av‡ ̄Í Pj‡Q `aæZ Pj‡Q GKB iKg g‡b n‡e †Kv‡bvwUB bq DËi: GKB iKg g‡b n‡e e ̈vL ̈v: e ̈w3 wb‡R MwZkxj nIqvq Zvi Kv‡Q mgq GKB iKg g‡b n‡e| w ̄’i KvVv‡gvi †Kv‡bv ch©‡eÿK evB‡i †_‡K MwZkxj e ̈w3‡K ch©‡eÿY Ki‡j Zvi Kv‡Q g‡b n‡e MwZkxj KvVv‡gv‡Z mgq ax‡i Pj‡Q| 2. Av‡jv hLb †Kv‡bv avZe Z‡ji w`‡K cwiPvwjZ nq, ZLb wbM©Z B‡jKUa‡bi kw3Ñ [JU 22-23] Av‡jvi ZxeaZvi mv‡_ cwiewZ©Z nq Av‡jvi K¤úv‡1⁄4i mv‡_ cwiewZ©Z nq Av‡jvi MwZi mv‡_ cwiewZ©Z nq G‡jv‡g‡jvfv‡e cwiewZ©Z nq DËi: Av‡jvi K¤úv‡1⁄4i mv‡_ cwiewZ©Z nq 3. cøvwUbv‡gi Kvh©v‡cÿK 6.2 eV n‡j Gi m~Pb K¤úv1⁄4 KZ Hz? [JU 21-22; BRUR 15-16] 4.46  1015 3.46  1015 2.5  1015 1.5  1015 DËi: 1.5  1015 e ̈vL ̈v: f0 =  h = 6.2  1.6  10–19 6.62  10–34  1.6  1015 Hz  1.5  1015 Hz 4. K¤úUb cÖfv‡ei d‡j AvcwZZ †dvU‡bi Zi1⁄2‣`N© ̈ wewÿß nevi ciÑ [JU 21-22] K‡g hvq e„w× cvq AcwiewZ©Z _v‡K Aa©- ̧Y nq DËi: e„w× cvq 5. cøv‡1⁄4i aaæe‡Ki gvÎv †KvbwU? [JU 21-22] ML–1T –1 ML2T –1 ML2T –2 MLT–1 DËi: ML2T –1 e ̈vL ̈v: cøv‡1⁄4 aaæeK, h = E c GKK  Js gvÎv  [ML2T –1 ] 6. GKB mg‡q †Kv‡bv KYvi Ae ̄’vb I fi‡eM wbY©‡qi AwbðqZvi ̧Ydj KL‡bvB cøvs‡Ki n«vmK...Z aaæeK A‡cÿv †QvU n‡Z cv‡i bv- †Kvb bxwZ‡K mg_©b K‡i? [JU 21-22] cøvs‡Ki AwbðqZv bxwZ g ̈v·I‡qj AwbðqZv bxwZ nvB‡RbevM© AwbðqZv bxwZ †Kv‡bvwUB bq DËi: nvB‡RbevM© AwbðqZv bxwZ 7. 10 MeV MwZkw3 wb‡q Pjgvb B‡jKUa‡bi fi KZ? [JU 20-21] 10.51m0 15.51m0 20.51m0 †Kv‡bvwUB bq DËi: 20.51m0 e ̈vL ̈v: mc2 = Ek + m0c 2  c 2 (m – m0) = 10  106  1.6  10–19  m – m0 = 1.6  10–12 c 2  m = m0 + 1.78  10–29 = 1.8711  10–29 = 1.811  10–29 m0 m0 = 1.811  10–29 9.1  10–31 m0  m = 20.56m0 8. m~h© cÖwZ †m‡K‡Û KZ kw3 wewKiY K‡i? [JUST-A 19-20] 6  1026 J 8  1026 J 3  1026 J 4  1026 J DËi: 4  1026 J 9. †Kvb avZzi Dci 200 A  Zi1⁄2‣`‡N© ̈i AwZ‡e ̧bx iwk¥ †djv n‡jv| avZzi Kvh©v‡cÿK 23 eV n‡j wbtm„Z d‡Uv B‡jKUa‡bi m‡e©v”P †eM KZ? [JUST-A 19-20] 968.42 kms–1 367.5 kms–1 283.63 kms–1 991.2 kms–1 DËi: Blank

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