c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 1gj †U÷ †ccvim-Gi AwZwi³ Askwbe©vPwb cix¶vi cÖkœ I DËi-2014: eûwbe©vPwb mKj †ev‡Wi© kxl¯© ’vbxq ¸iZ“ c¦ Y© ¯‹z‡ji 2014 mv‡ji wbe©vPwb cix¶vi cÖkœ I DËi 1. K¨v›Ub‡g›U †evW© Avštwe`¨vjq, XvKv welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. †W‡gvwµUvm †Kvb †`‡ki bvMwiK wQ‡jb? 12. e›`yK †_‡K ¸wj †Qvov n‡j⎯ M v=1 N v = T f λ K fviZ L BZvwj i. e›`Ky I ¸wji †eM ci¯•i wecixZ gLy x nq ii. ¸wj †Qvovi c‡y e© e›`Ky I ¸wji †eM kb ¨ 25. mgZj `c©‡Y m„ó we¤^ wKicƒ ? M wMKÖ N wgmi2. †K †jvW‡÷v‡bi Ô†PŠ¤^K agÕ© m¤•‡K© Rvb‡Zb? _v‡K K m` L D‡ëv iii. ¸wj †Qvovi Av‡Mi I c‡ii fi‡e‡Mi M Aev¯e N weewa©Z K wc_v‡Mvivm L A¨vwi÷vKvm© mgwó mgvb n‡e 26. †Mvjxq `c©‡Yi †dvKvm `iZ¡, eµZvi M AvBb÷vBb N †_wjm wb‡Pi †KvbwU mwVK?3. d e¨vm I h D”PZv wewkó †Kv‡bv wmwjÛv‡ii e¨vmv‡a©i⎯ AvqZb wbY‡© qi mÎ †KvbwU? K i I ii L i I iii K 1 ¸Y L 1 ¸Y M ii I iii N i, ii I iii 2 K 1 πd3 13. KvR Kx ivwk? 6 L πd3h M 2 ¸Y N 4 My Y M 4 πd3 π N 1 πd2h K w`K L †f±i 27. †ø‡ji m‡ Îi mv‡_ wb‡Pi †Kvb ivwkwUi wgj 3 4 M †¯‹jvi N †gŠwjK Av‡Q?4. GKwU mg‡e‡M MwZkxj e¯‘i †eM 4 ms−1.55 14. ej I mi‡Yi ga¨eZx© †KvY KZ n‡j KvR K weea©b L µvwš †KvY ci Gi †eM KZ n‡e? m‡ev© ”P nq? M gixwPwKv N cwÖ ZmiYv¼ K 4 ms−1 L 8 ms−1 M 16 ms−1 N 20 ms−1 K 0° L 90° 28. +5D ¶gZv wewkó †jÝwUi †dvKvm `iZ¡ KZ? K 0.5 m L 5m5. e¯‘i †eM e„w×i nvi‡K Zi¡ Y e‡jÑ M 180° N 360° M 0.2m N 0.2 cm G‡¶‡Î⎯ 15. wb‡Pi weeiY¸‡jv j¶¨ Ki : 29. Kzj¤^ Kx‡mi GKK? i. GKK ms−2 i. Iw = 1.34 × 10−3 HP K Zwor wefe L Avavb ii. 1 kwh = 3.6 × 106J ii. gvÎv LT−2 M †iva N wefevši iii. 1J = 25Nm iii. Aw`K ivwk wb‡Pi †KvbwU mwVK? 30. ¯Y^ c© vZ Zworex¶Y hš †K Avwe®‹vi K‡ib? wb‡Pi †KvbwU mwVK? K i I ii L i I iii K Kjz ¤^ L †e‡bU M ii I iii N i, ii I iii M †fvë N Ing K i I ii L ii I iii 31. †iv‡ai GKK Kx? M i I iii N i, ii I iii 16. Pv‡ci gvÎv †KvbwU?6. 3 kg f‡ii GKwU e¯‘ 5 ms−1 Avw`‡e‡M hvÎv K ML3 L ML−3T K †fvë L wm‡gÝ M ML−1T–2 N MLT−2 M A¨vw¤•qvi N Ing ïi“ K‡i 3s ci 11 ms−1 †eM cÖvß n‡jv e¯‘wUi 17. c„w_exi c„‡ô cÖwZ eM©wgUv‡i evqygÛ‡ji Pvc 32. wb‡Pi Dw³¸‡jv j¶¨ Ki⎯ ej KZ? L 6N KZ? L 103N i. Zwor ceÖ vn I = Q K 1N N 4N K 102N t M 3N M 104N N 105N ii. Zwor ceÖ vn Aw`K ivwk7. m(v − u) = 0 mgxKi‡Y †KvbwU Am¤¢e? 18. cxo‡bi gvÎv †KvbwU? K v=0 Lu=v iii. Zwor †Kv‡li kw³ ivmvqwbK kw³ M m=0 N v−u=0 K ML−2T−2 L ML−1T−2 M ML−1T N ML−1T−2 wb‡Pi †KvbwU mwVK?8. Nl©Y e‡ji gvb †KvbwUi Dci wbf©i K‡i? 19. cvwbi ˆÎawe›`yi ZvcgvÎv KZ? K i I ii L i I iii K ZvcgvÎv L fi K −273k L 273k M ii I iii N i, ii I iii M †eM N Zi¡ Y M 373K N 1 wb‡Pi AskUzKz co Ges 33 I 34 bs cÖ‡kœi DËi9. fi †e‡Mi msi¶‡Yi D`vniY⎯ 273 K `vI : i. e›`y‡Ki cðvr MwZ 20. dv‡ibnvBU †¯‹‡ji wbæw¯’i we›`y KZ? ii. evmhvÎx wcQ‡bi w`‡K †n‡j cov GKwU Uvª Ýdigv‡ii †MŠY I gLy ¨ KÛz jx‡Z cvKmsL¨v K 32°F L 0°F h_vµ‡g 400 I 100| Gi gLy ¨ KÛz jx‡Z Zvwo”PvjK M 273°F N 100°F kw³ 10V| iii. i‡KU Pvjv‡bv 33. UªvÝdigviwU‡Z †MŠY KÛz jx‡Z Avweó Zwo”PvjK 21. Av‡cw¶K Zv‡ci GKK †KvbwU? wb‡Pi †KvbwU mwVK? K Jkg−1 L Jkg−1k−1 kw³ KZ? K i L ii M Jk−1 N Jkg−1k−2 M i I ii N i I iii 22. †Kvb e¯‘ 20 †m‡K‡Û 1000wU cY © ¯•›`b m¤•bœ K 11V L 22Vwb‡Pi Aby‡”Q`wU co Ges 10-12 bs cÖ‡kœi DËi Ki‡j K¤•v¼ KZ? M 40V N 880V`vI : 10 34. UªvÝdigviwU‡K †÷c WvDb Ki‡Z PvB‡j Kx 1006 kg f‡ii GKwU e›`yK †_‡K 100 gm f‡ii GKwU K 10 Hz L Hz Ki‡Z n‡e? M 50 Hzey‡jU 300 ms−1 †e‡M †ei n‡q GK UKz iv Kv‡Vi g‡a¨ N 100 Hz K gyL¨ KÛz jxi Zwo”PvjK kw³ AviI evov‡Z n‡e4.5 cm c‡Ö ek K‡i †_‡g †Mj| 23. GKwU Zi½cv` I GKwU Zi½ kx‡li© ga¨eZx© L †MŠY KÛz jxi cvK msL¨v mgvb n‡Z n‡e10. e›`‡y Ki cðvr †eM KZ? M †MŠY KÛz jxi cvKmsL¨v AviI evov‡Z n‡e `i Z¡ KZ? N gLy ¨ KÛz jxi cvK msL¨v AviI eov‡Z n‡e K 5 ms−1 L 10 ms−1 35. †KvbwU abvÍK Avavbh³y iwk¥? M 15 ms−1 N 25 ms−1 Kλ L λ 211. 4.5 cm AwZµg Ki‡Z e‡y j‡Ui KZ mgq M 2λ N λ †j‡MwQj? 24. †KvbwU mwVK? 4 K ∝ iwk¥ L y iwk¥ M x iwk¥ N β iwk¥ K 3 × 10−4s L 3 × 104s K v = fλ L v = Tλ M 3 × 105s N 3 × 106sDËigvjv 1 M 2 N 3 N 4 K 5 K 6 L 7 M 8 L 9 N 10 K 11 K 12 N 13 M 14 K 15 K 16 M 17 N 18 N 19 L 20 K 21 L 22 M 23 L 24 K 25 M 26 K 27 N 28 M 29 L 30 L 31 N 32 N 33 M 34 N 35 K
2 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 2. Avigvwb‡Uvjv miKvwi D”P we`¨vjq, XvKv welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. †KvbwU †gŠwjK GKK? M 3q Ae¯’v N 4 _© Ae¯’v K †fvë L Ryj 15. Av‡cw¶K Zv‡ci GKK †KvbwU? M IqvU N A¨vw¤•qvi KJ L JK−1 a gva¨g M JKg−1 N JKg−1k−12. wWwRUvj _vgv Nwo KZ mgq ch©š wbf©‚j cvV b gva¨g 16. †KvbwU c`v‡_©i ZvcgvwÎK ag© bq? w`‡Z cv‡i ? i K ± 1s L ±0.1s K †iva L fi M ± 0.01s N ± 0.001s M AvqZb N evZv‡mi Pvc 26. cÖwZmiY †Kv‡Yi gvb KZ?3. †Kvb m¤•K©wU mwVK? 17. †Kvb K¤•bkxj e¯‘KYvq chv© qKv‡ji 10 K 0° L 90° i. h α t2 †m‡KÛ n‡j Zvi K¤•v¼ KZ? M 180° N 45° ii. s α v K 0.1 Hz L 0.01 Hz 27. i = KZ? (†hLv‡b anω = 1.33) iii. v α t M 10 Hz N DËi bvB K 1.33° L 0.75° (cÖvq) wb‡Pi †KvbwU mwVK? 18. 20°C ZvcgvÎvq †jvnv‡Z k‡ãi †eM KZ? M 90° N 48.75° (cÖvq) K i I ii L ii I iii K 344 ms−1 L 1550 ms−1 28. `wy U we›`y Avav‡bi ga¨eZx© `iZ¡ A‡aK© Kiv M i I iii N i, ii I iii M 1580 ms−1 N 5130 ms−1 n‡j Zv‡`i g‡a¨ AvKl©Y/weKl©Y e‡ji gvb4. w¯’i Ae¯’vb n‡Z mly g Zi¡ ‡Y Pjgvb †Kvb 19. †KvbwU `xw߯vb e¯‘ bq? KZ¸Y n‡e? e¯‘ 5 †m‡K‡Û 50 wgUvi c_ AwZµg Ki‡j K mh© L Zviv 1 e¯‘wU 10 †m‡K‡Û KZ wgUvi c_ AwZµg M b¶Î N †gvgevwZ K 2 ¸Y L `yB ¸Y Ki‡e? 20. †Mvjxq `c©‡Yi eµZvi e¨vmva© 10 †m.wg. n‡j M Pvi ¸Y N 1 ¸Y 4 K 100 wgUvi L 200 wgUvi `c©YwUi †dvKvm `i Z¡ KZ? 29. †Kvb cwievnxi †iva KZwU wel‡qi Dci wbf©i M 50 wgUvi N 10 wgUvi K 10 cm L 20 cm M 5 cm N 1 cm K‡i?5. RoZvi cwigvc †KvbwU? 21. AeZj `c‡© Yi caÖ vb A‡¶ †Kvb †Kvb Ae¯’v‡b K 2wU L 3wU K mgq L ZvcgvÎv j¶¨e¯‘ ivL‡j e¯‘wUi weewa©Z we¤^ MwVZ M 4wU N 5wU M fi N †eM nq? 30. †KvbwUi Kvhc© YÖ vwj‡Z ZvwoZ †PŠ¤^K Av‡ek6. 5 kg f‡ii †Kvb e¯‘i Zi¡ Y wظY Kiv n‡j i. eµZvi †K›`ª Ges Amx‡gi ga¨eZx© e¨envi Kiv nq? e¯‘wUi ej KZ¸Y n‡e? Ae¯’v‡b K Uvª Ýdg©vi L Uvª bwR÷i K 2 ¸Y L 5 ¸Y ii. eµZvi †K›`ª Ges cÖavb †dvKv‡mi ga¨eZx© M †gvUi N A¨vwgUvi M 10 ¸Y N DËi †bB Ae¯’v‡b 31. †Uwj‡dvb KZ mv‡j Avwe®‹Z… nq?7. ev‡qvgvm caÖ vbZ †Kvb †Kvb Dcv`vb w`‡q iii. cÖavb †dvKvm Ges †gi“ we›`yi ga¨eZx© K 1775 L 1875 ˆZwi? Ae¯’v‡b M 1975 N 1675 K Kveb© L nvB‡Wvª ‡Rb wb‡Pi †KvbwU mwVK? 32. †ZRw¯Œq †gŠj KZ ai‡bi iwk¥ wbMg© b K‡i? M mvjdvi NKIL K i I ii L i I iii K1 L28. ¶gZvi gvÎv †KvbwU? M ii I iii N i, ii I iii M 3 N 4 ai‡bi iwk¥ K ML−1T−1 L ML2T−2 M ML2T−3 N MLT−3 22. Av‡jvi cwÖ Zmi‡Yi wØZxq m‡ Îi Avwe®‹viK 33. weÁvbx RM`xkP›`ª emyi mv‡_ †Kvb welqwU9. GKwU e¯‘‡K Uvb Uvb K‡i ivL‡j e¯‘wUi †Kvb †`‡ki bvMwiK? mswk−ó? g‡a¨ †Kvb kw³ Rgv _v‡K? K Rvg©vwb L BUvjx i. emy gw›`i cwÖ Zôv K Zvc kw³ L MwZkw³ M dv« Ý N Bsj¨vÛ ii. †µv‡¯‹vMvÖ d Avwe®‹vi M wefekw³ N ivmvqwbK kw³ 23. †Kvb †¶‡Î me`© vB Aev¯e Ges j¶¨e¯‘i iii. nvB‡WªvwgUvi Avwe®‹vi10. 2 †gMvIqvU = KZ IqvU? Zjz bvq †QvU we¤^ MwVZ nq? wb‡Pi †KvbwU mwVK? K 12 w L 12000000w K mgZj `c‡© Y L AeZj `c©‡Y K i I ii L i I iii M 2000000w N 0.000002w M DËj †j‡Ý N AeZj †j‡Ý M ii I iii N i, ii I iii11. Zij c`v‡_©i NbZ¡ cwigv‡ci h‡ši bvg Kx? 24. †Pv‡Li †Kvb Ask P¶z †j‡Ýi Dci AvcwZZ 34. m¶ ¥ i³bvjxi e−‡KR cix¶v Kivi cÖhyw³i bvg K K¨vjwiwgUvi L e¨v‡ivwgUvi Av‡jvi cwigvY wbqšY K‡i? Kx? M nvB‡WªvwgUvi N j¨vK‡UvwgUvi K KwYq© v L AvBwik K GbwRIMvÖ g L B.wm.wR12. AvB.wc.Gm.G †Kvb GwmW _v‡K? M †Pv‡Li gwY N †iwUbv M B.wU.wU N GbwRIcv− w÷ K HCl L H2SO4 25. `xN`© w„ ó cwÖ ZKv‡ii Rb¨ †KvbwU e¨envi Kiv 35. i³bvjxi eK− g³y Kivi †KŠk‡ji bvg Kx? M HNO3 N H2CO3 nq?13. cw„ _ex c‡„ ô evqgy Û‡ji Pvc KZ? K AeZj †jÝ L AeZj `c©Y K GbwRIMvÖ g L B.wm.wR K 103 Pa L 105 Pa M DËj †jÝ N DËj `cY© M B.wU.wU N GbwRIcv− ÷ M 1.5 × 105 Pa N 2.5 × 105 Pa14. c−vRgv c`v‡_i© †Kvb Ae¯’vi bvg? wb‡Pi wP‡Îi Av‡jv‡K 26 I 27 bs cÖ‡kœi DËi `vI K 1g Ae¯’ L 2q Ae¯’vDËigvjv 1 N 2 M 3 N 4 L 5 M 6 K 7 N 8 M 9 M 10 M 11 M 12 L 13 L 14 N 15 N 16 L 17 K 18 K 19 N 20 M 21 M 22 K 23 N 24 L 25 M 26 L 27 N 28 M 29 M 30 K 31 L 32 M 33 K 34 K 35 N
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 3 3. Rq‡`eciy miKvwi evwjKv D”P we`¨vjq, MvRxciy welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. GKwU e¯‘ e„ËvKvi c‡_ GKevi Ny‡i Avm‡j 12. Kvu Pv †jvnvi Dci AšwiZ Zvgvi Zvi †cuwP‡q wb‡Pi wPÎwU j¶¨ Ki Ges 23 I 24 bs cÖ‡kœi DËi miY KZ? ˆZwi Kiv nq⎯ `vI : x K 2πr L πr2 K Kg¨y ‡UUi L evª m 30 A B M0 N πr2 M Av‡g©Pvi N †Rbv‡iUi †eM (ms–1)2. wµqvkxj e‡ji gvb kb¨ n‡j MwZkxj e¯‘i 13. n UvBc Aa©cwievnx ˆZwi‡Z e¨eüZ nq KZ †eM †Kgb n‡e? †hvRbxi †gŠj? K w¯’i _vK‡e L Amxg n‡e K wØ-†hvRx L w·hvRx O 1t0 mgt q (s) M e„w× cv‡e N nv« m cv‡e M PZ©z‡hvRx N c‡hvRx 23. AB Ask wb‡`©k K‡i †KvbwU?3. 500N ej c‡Ö qv‡M †Kv‡bv e¯‘i e‡ji w`‡K 14. †Uwjwfk‡bi c`v© q _v‡K †Kvb c`v_?© K miY L mgq 50m miY n‡j KZ… Kv‡Ri cwigvY KZ? K wmwRqvg L dmdi `vbv M mg‡eM N mgZ¡iY K 25 × 104J L 2.5 × 104J M B‡jKUªbMvb N nvB‡cv 24. O gj we›`y n‡j OA As‡k Zi¡ ‡Yi gvb KZ? M 25 × 105J N 2.5 × 103J 15. cvigvYweK Pzj−xi g¾v †Kvb c`v_© w`‡q ˆZwi? K 2 ms−2 L 3 ms−24. †Kvb e¯‘i †eM e„w× †c‡q cuvP¸Y n‡j M 4 ms−2 N 0.33 ms−2 K †evib L B¯•vZ MwZkw³i cwieZb© n‡e⎯ M MÖvdvBU N K¨vWwgqvg 25. †Kvb wbw`©ó gva¨‡gi cÖwZmiv¼ wbf©i K‡i⎯ K cvu P ¸Y L `k ¸Y wb‡Pi DÏxcKwU c‡o ckÖ œ¸‡jvi DËi `vI : i. gva¨‡gi cKÖ w… Zi Dci M cuwPk ¸Y N cwieZb© n‡e bv GKwU wbDUbª Øviv BD‡ivwbqvg cigvYiy fv½‡b ii. AvcZb †Kv‡Yi Dciwb‡Pi wPÎwU j¶¨ Ki Ges 5 I 6 bs c‡Ö kiœ DËi `vI : wZbwU wbDUbª I 200 MeV kw³ wbMZ© nq| wZbwU iii. Av‡jvi i‡Oi Dci wbDUbª Avevi wZbwU BD‡iwbqvg‡K AvNvZ K‡i| wb‡Pi †KvbwU mwVK?4cm2 20cm2 Gfv‡e wewµqv µgvMZ Pj‡Z _v‡K| Ki L ii 16. Av‡jvwPZ wewµqvwU GKwU⎯ M ii I iii N i I iii c1 cvwb c2 i. wdmb wewµqv ii. wdDkb wewµqv 26. kb ¨ gva¨‡g 20°C ZvcgvÎvq k‡ãi `w“ª Z KZ iii. k„Lj wewµqv n‡e?5. wP‡Îi †QvU wc÷‡b 20N ej c‡Ö qvM Ki‡j eo wb‡Pi †KvbwU mwVK? K 322 ms−1 L 344.2 ms−1 M 0.61 ms−1 N 0 ms−1 wc÷‡b chÖ ³y ej n‡e⎯ K i I ii L ii I iii 27. ZworPvjK kw³i GKK †KvbwU? K 5N L 4N M i I iii N iii K †fvë L Ryj M 80N N 100N 17. wØZxq chv© ‡qi fv½‡b wK cwigvY kw³ weg³y M Kzj¤^ N A¨vw¤•qvi6. 0.25kg f‡ii 250cm3 AvqZ‡bi GKwU e¯‘‡K n‡e? K 200 Mev L 400 Mev 28. †KvbwU jä ivwk? D³ Zi‡j †Q‡o w`‡j⎯ M 600 Mev N 800 Mev K fi L ‰`N©¨ i. e¯‘wU Wz‡e hv‡e ii. e¯‘wU †f‡m _vK‡e wb‡Pi wPÎwU j¶ Ki Ges 18 I 19 bs cÖ‡kiœ DËi M ZworceÖ vn N NbZ¡ iii. e¯‘wU wbgw¾Z Ae¯’vq fvm‡e `vI : 29. ¯Z^ tev®•xfeb c×wZ‡Z KZ ZvcgvÎvq cvwb wb‡Pi †KvbwU mwVK? 20°c Zvgvi `Ê ev‡®• cwiYZ nq? K i L ii 2m K 100°C L 70°C M iii N i, ii I iii 75°c M †h †Kvb ZvcgvÎvq7. evq‡y Z Av`ª©Zv evo‡j k‡ãi †eM †Kgb n‡e? 2.20m N 120°C K evo‡e L Kg‡e 30. †Kvb cwievn‡Ki cÖ¯’‡”Q`‡K wظY Ki‡j Gi M AcwiewZZ© nq N Amxg nq 18. `ÛwUi ˆ`N¨© ew„ × wbfi© K‡i? †iva R wK n‡e?8. †j‡Ýi ¶gZv wظY Ki‡j †dvKvm `i Z¡ †Kgb i. Avw` ˆ`‡N©¨i Dci K 2R L 4R n‡e? ii. ZvcgvÎvi cv_‡© K¨i Dci M R N R K wظY L A‡aK© iii. ‰`N¨© cmÖ viY mn‡Mi Dci 4 2 M Pvi¸Y N cwieZb© n‡e bv wb‡Pi †KvbwU mwVK? 31. G·‡ii GKK‡K wK e‡j?9. †Pv‡Li e‡Yi© Rb¨ `vqx †Kvb AskwU? K i L i I ii K †e‡K‡ij L jv· K †iwUbv L †jÝ M ii I iii N i, ii I iii M Ing N i›U‡Rb M KwYq© v N AvBwik 19. `ÛwUi ˆ`N¨© cmÖ viY mn‡Mi gvb KZ? 32. wb‡Pi †KvbwUi Avqbvqb ¶gZv †ewk?10. †Pv‡Li n«¯^ `„wói KviY⎯ K 1.7 × 10−3k−1 L 6.1 × 10−3k−1 K ∝-iwk¥ L β iwk¥ M 1.6 × 10−6k−1 N 1.67 × 10−5k−1 i. Aw¶‡Mvj‡Ki e¨vmva© †e‡o hvIqv M y iwk¥ N x iwk¥ ii. Awfmvix ¶gZv K‡g hvIqv 20. KZ ZvcgvÎvi cvwbi NbZ¡ †ewk? 33. ÷xgv‡ii mvP© jvB‡U wKiƒc `c©Y e¨envi Kiv iii. P¶z †j‡Ýi †dvKvm `i Z¡ K‡g hvIqv K 4°C L 10°C nq? M 0°C N 25°C wb‡Pi †KvbwU mwVK? K mgZj L AeZj 21. cY © Af¨šixY cÖwZdjb NU‡j mZ¨ n‡e⎯ K i I ii L ii I iii M DËj N DËj I AeZj i. AvcZb †KvY > θC M i I iii N i, ii I iii ii. Avcb †KvY = cÖwZdjb †KvY 34. e¯‘i Ašwb©wnZ Zvc kw³ †KvbwUi Dci wbf©i11. mwjbv‡q‡Wi †PŠ¤^K cÖvej¨ e„w× Kiv hvq⎯ iii. aηb > 1 †hLv‡b b > a K‡i bv? i. Zwor cÖevn evwo‡q wb‡Pi †KvbwU mwVK? K fi L AvqZb ii. Zv‡ii cvKmsL¨v evwo‡q Ki L ii M Dcv`vb N ZvcgvÎv iii. gReyZ Zvi e¨envi K‡i M i I ii N i, ii I iii 35. †Kvb e¯‘i ˆ`N©¨ l Ges cwÖ Zwe‡¤^i ˆ`N©¨ l′ n‡j wb‡Pi †KvbwU mwVK? 22. [T−1] †Kvb ivwkwUi gvÎv? †KvbwU mwVK? K i I ii L i I iii K K¤•v¼ L †`vjbKvj K m = l L m = l1 l1 l M ii I iii N i, ii I iii M ZvcgvÎv N mgq M m = l × l1 N m = l × b1DËigvjv 1 M 2 K 3 L 4 M 5 N 6 M 7 K 8 L 9 N 10 M 11 K 12 M 13 N 14 L 15 M 16 M 17 M 18 L 19 N 20 K 21 N 22 K 23 M 24 L 25 N 26 N 27 K 28 N 29 M 30 N 31 N 32 K 33 L 34 L 35 L
4 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 4. gvwbKMÄ miKwi D”P we`¨vjq, gvwbKMÄ welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 35 wb‡Pi wPÎwU †`‡L 28 I 29 bs c‡Ö kœi DËi `vI:1. cix¶vgjK ˆeÁvwbK c×wZ ceÖ ³v wQ‡jb? 14. MwZ kw³ wK‡mi Dci wbf©i K‡i? 5Ω i. d«vwÝm †eKb K †eM L AvqZb 5Ω ii. iRvi †eKb M ej N Zi¦ Y 5Ω 16.67V iii. M¨vwjwjI 15. nv‡Z nvZ Nl‡j kw³i i“cvši wKfv‡e nq? wb‡Pi †KvbwU mwVK? K hvwšK → Zvc L Zvc → hvwšK Ki L ii M hvwšK → kã N kã→ hvwšK M i I ii N i, ii I iii 16. 200 Mev = KZ Rjy ?2. cvÖ PxbKv‡ji weÁvbx †K? K 32 × 10–11J L 3.2×1011J M 3.2×10–11J N 3.2×1012J K wc_v‡Mvivm L Be‡b BDbym M wbDUb N †Kcjvi 17. GK wK‡jvIqvU N›Uv mgvb KZ Rjy ? 28. eZb© xi Zjy ¨ †iva KZ Ing?3. wb‡Pi †KvbwU †gŠwjK GKK? K 3.6×106J L 36×106J 3 4 M 3.6 × 105J N 3.6×10–5J 5 5 K wbDUb L IRb K L 18. †KvbwU NbZ¦ †ekx? M †gvj N †eM M5 N 15 34. GK b¨v‡bv‡m‡KÛ mgvb KZ †m‡KÛ? K †jvnv L KK© 29. eZ©bxi Zwor ceÖ vn (I) KZ? K 10–18s L 10–15s M 10–12s N 10–9s M iƒcv N †mvbv K 10A L 4.5A5. †f±i ivwk †KvbwU? 19. w¯’wZ¯’vcK ¸Yv‡¼i gvÎv †KvbwU? M 4A N 3.75A K KvR L ZvcgvÎv K ML–2T–2 L ML–1T–2 30. gvB‡Kj d¨viv‡W KZ mv‡j Zvwor P¤z K^ Av‡ek M Zwor ZxeªZv N ˆ`N©¨ M ML–1T–3 N ML–2T–3 Avwe®‹vi K‡i?wb‡Pi Aby‡”Q`wU co Ges 6 I 7 bs cÖ‡kiœ DËi 20. cvwbi DcwiZj n‡Z GKB MfxiZvq wb‡Pi K 1731 L 1830`vI: †KvbwUi c−eZv †ewk? M 1831 N 183254kmh–1 †e‡M Pjš GKRb Mvwoi PvjK 46m `‡i K cKy z‡ii cvwbi L b`xi cvwbi 31. Kw¤•DUv‡i UvBc Kivi mgq Kw¤•DUv‡ii c`v©GKRb c_Pvix‡K †`L‡Z †c‡jb Ges mv‡_ mv‡_ n‡Z †PvL KZ `‡i _vKv c‡Ö qvRb?†eKª †P‡c w`‡jb| G‡Z MvwowU c_Pvixi 1m mvg‡b M Kzqvi cvwbi N mgy‡`iª cvwbi K 20 –25cm L 30 –40cm M 40–50cm N 50 – 60cmG‡m †_‡g †Mj| 21. wb‡Pi †KvbwUi ˆ`N¨© cmÖ viY mnM †ekx? 32. weÁvbx RM`xkP›`ª e¯yi mv‡_ mswk−ó⎯6. MvwowUi Z¦iY KZ wQj? K KvP L †jvnv i. emy gw›`i cwÖ Zôv K 2.5ms–2 L –2.5ms–2 M Zvgv N `¯v ii. †ZRw¯Œq †gŠ‡ji e¨envi M –3.4ms N –4.5ms–2 22. wb‡Pi †Kvb m¤•K© mwVK? iii. ‡µ‡¯‹vMÖvg Avwe®‹vi7. †eKª Pvcvi ci MvwowU _vg‡Z KZ mgq K Q L Q wb‡Pi †KvbwU mwVK? †j‡MwQj? C= Δθ S = Δθ K 6 sec L 5 sec M C N Q = mcΔθ K i L i I ii Δθ M 4 sec N 3 sec Q = M i I iii N i, ii I iii8. g-Gi gvb †Kv_vq me †_‡K †ekx? 23. wb‡Pi †KvbwUi Av‡cw¶K Zvc †ekx? 33. UªvÝdgv© ‡ii †¶‡Î GwU⎯ K c„w_exi †K›`ª L Pvu ‡` K wUb L Zvgv i. Zwor icƒ všiK M weley xq A‡j N †gi“ A‡j M cvi` N `¯v ii. †iva ic všiK9. nxi‡Ki cÖwZmiYv¼ 2.4 n‡j Gi µvwš †KvY 24. 30°C ZvcgvÎvq Puv‡` k‡ãi †eM KZ? iii. wefe icƒ všiK KZ? K 350ms–1 L 344ms–1 wb‡Pi †KvbwU mwVK? K 24° L 24.5° M 332ms–1 N 0ms–1 K i I ii L ii I iii M 24.6° N 25° 25. 20°C ZvcgvÎvq cwÖ ZaŸwb †kvbvi bb¨Zg `iZ¦ M i I iii N i, ii I iii10. †eM ej‡Z eySvq⎯ KZ? wb‡Pi DÏxcKwU c‡o 34 I 35 bs c‡Ö kiœ i. mi‡Yi nvi K 16.6m L 17.2m DËi `vI: ii. GKK mg‡q AwZµvš miY M 17.5m N 17.6m mgq (w`b) 01 23 iii. wbw`©ó w`‡K GKK mg‡q AwZµvš `iZ¦ 26. AeZj `c©‡Yi eµZvi e¨vmva© 10cm n‡j †ZRw¯Œq †gŠ‡ji cigvYiy msL¨v 104 7000 wb‡Pi †KvbwU mwVK? †dvKvm `i Z¦ KZ? 5000 3500 K i, ii I iii L ii I iii K 5cm L 10cm 34. DÏxc‡Ki †gŠjwUi Aa©vqy KZ? M i I iii N i I ii M 20cm N 2.0m K 43200s L 86400s11. mej wbDwKq¬ e‡ji cvjv− KZ? M 129600s N 172800s K Amxg ch©š L 10–15m 27. AeZj `c‡© bi †¶‡Î ˆiwLK weeab© m > l n‡j 35. Av‡jvP¨ †gŠjwUi †¶‡Î M 10–15m Gi Kg N 10–15m2 j¶¨e¯yi Ae¯’vb n‡e⎯ i. cigvYy fvO‡bi nvi µgvš‡q Kg‡Z _vK‡e12. Nl©Y mvaviYZ KZ cÖKvi? i. caÖ vb †dvKv‡m ii. cwÖ Z Pviw`‡b cigvYiy msL¨v 75% K‡g hv‡e K2 L3 ii. cÖavb †dvKvm I †gi“ we›`yi gv‡S iii. mxwgZ mg‡qi g‡a¨B me¸‡jv cigvYy †f‡O iii. Amxg I eµZvi †K‡›`ªi gv‡S M4 N5 wb‡Pi †KvbwU mwVK? hv‡e wb‡Pi †KvbwU mwVK?13. e‡ji gvÎv †KvbwU? K i I ii L i I iii K i I ii L i I iii M ii I iii N i, ii I iii K M–1 LT–2 L MLT–1 M ii I iii N i, ii I iii M MLT–2 N ML–2T–2DËigvjv 1 L 2 K 3 M 4 N 5 M 6 L 7 K 8 N 9 M 10 K 11 L 12 M 13 M 14 K 15 K 16 M 17 K 18 N 19 L 20 N 21 N 22 K 23 L 24 N 25 L 26 K 27 K 28 M 29 K 30 M 31 N 32 M 33 M 34 N 35 K
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 5 5. †kicyi miKvwi wf‡±vwiqv GKv‡Wgx, †kicyi welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. BD‡iwbqv‡gi †ZRw¯ŒqZv Avwe®‹vi K‡ib †K? 15. my¯’ gvby‡li †`‡ni ZvcgvÎv 98.4°F n‡j, 26. DcwiD³ wP‡Î AB cwievnxi Avavb †Kvb K †e‡K‡ij L ib‡Rb †mjwmqvm †¯‹‡j KZ? ai‡Yi? M c−¨v¼ N g¨v·I‡qj K 35.6°C L 36.89°C K Av‡ekx L Avweó2. wb‡Pi †KvbwU †f±i ivwk? M 39.68°C N 42.68°C M abvÍK N FYvÍK K `“wª Z L KvR 16. Zvc c‡Ö qv‡M †Kvb ai‡bi c`v‡_i© cmÖ viY M g›`b N fi 27. Av‡ekx Avavb i‡q‡Q⎯ me‡P‡q †ewk?3. Z¡i‡Yi gvÎv †KvbwU? K R-G L A cvÖ ‡š K Zij L KwVb KL L LT−1 M B cvÖ ‡š N AB Gi meΩ M LT−2 N MT−1 M M¨vmxq N KwVb I Zij 28. Zwor ex¶Y h‡š Avavb FYvÍK Ges cix¶Yxq4. GKwU †gvUi Mvwoi †eM 60Kmh−1| H Mvwo‡Z 17. Zi½ GK ¯’vb †_‡K Ab¨ ¯’v‡b Kx mÂvjb K‡i? e¯‘i Avavb FYvÍK n‡j cvZ؇qi dvu ‡Ki Kx 5s Gi 2ms−2 Zi¡ Y mw„ ó Ki‡j MvwowUi †kl K MwZ L ¶gZv cwieZ©b NU‡e? †eM KZ? M `w“ª Z N kw³ K 16.67ms−1 L 26.67ms−1 i. duvK e„w× cv‡e 18. Aby‰`N©¨ Zi‡½i KYv¸‡jvi ¯•›`b w`‡Ki mv‡_ M 36.6ms−1 N 46.67ms−1 ii. duvK n«vm cv‡e Zi½ cÖev‡ni w`‡Ki ga¨eZ©x †KvY KZ nq?5. †gŠwjK ej¸‡jvi g‡a¨ me‡P‡q kw³kvjx ej iii. duvK AcwiewZ©Z _vK‡e K 0° L 45° nj⎯ wb‡Pi †KvbwU mwVK? M 60° N 90° K Zvwor †PŠ¤K^ ej L mej wbDK¬xq ej Ki L ii M `yej© wbDwKq¬ ej N gnvKl© ej 19. †Kvb e¯‘ 5 †m‡K‡Ê 100wU cY © ¯•›`b m¤•bœ M iii6. †Kvb Mvwoi †eM wZb¸Y Kiv n‡j cÖvß N i, ii I iii Ki‡j K¤•v¼ KZ n‡e? 29. A¨vwgUvi eZ©bx‡Z Kxfv‡e ms‡hvM Ki‡Z nq? MwZkw³ c‡ei© MwZ kw³i? K 20HZ L 30HZ K AbyµwgKfv‡e L mgvšivj fv‡e 1 1 M 1 HZ N 1 HZ K 3 ¸Y L 9 ¸Y 20 100 M cvkvcvwk N AvovAvwofv‡e M 3 ¸Y N 9 ¸Y 20. Wv³viiv bvK, Kvb, Mjv ch‡© e¶‡Yi Rb¨ 30. GKwU 100W-220V ev‡j¦i †iva KZ?7. fi †e‡Mi msi¶Y mÎwU wbDU‡bi †Kvb mÎ e¨envi K‡ib⎯ K 4.84Ω L 48.40Ω M 0.48Ω N 484Ω †_‡K cvIqv hvq? K mgZj `cY© L AeZj `c©Y K MwZi c_Ö g mÎ †_‡K M DËj `cY© N †Mvjxq `c©Y wb‡Pi wPÎwU j¶¨ Ki Ges 31 b¤i^ cÖ‡kiœ DËi `vI : L MwZi wØZxq mÎ †_‡K 21. e¯‘i ˆ`N©¨ 50cm Ges †Mvjxq `c‡© Yi we‡¤^i 1Ω M MwZi ZZ… xq mÎ †_‡K ˆ`N©¨ 25cm weeab© Ki? N RoZvi aviYv †_‡K K 0.5 L 1.00 2Ω 3Ω8. wbDK¬xq wewµqvq fi kw³ mgxKiY †KvbwU? M 1.5 N2 K E = 1mc2 L E = mc2 22. AeZj `c©‡b m„ó we¤^ wbæiƒc n‡Z cv‡i⎯ 2 i. ev¯e I Dë K M 2m N E = 1mc2 10V E= c2 3 ii. Aev¯e I †mvRv 31. Dc‡ii wP‡Î Zjz ¨‡iva KZ?9. wb‡Pi †Kvb ivwk ¸wji gvÎv I GKK Awfbœ? iii. j¶ e¯‘i mgvb K 0.35Ω L 0.45Ω K KvR I kw³ wb‡Pi †KvbwU mwVK? M 0.55Ω N 15Ω L wefe I Zwor cÖevn K i L i I ii 32. Zwor Drcv`b ev‡o, hw`⎯ M Zvc I Zvc gvÎv M i I iii N i, ii I iii i. KzÊjxi cvKmsL¨v e„w× Kiv nq N †eM I miY10. 1260J MwZ kw³ wewkó †Kvb †`Šo we‡`i †eM 23. cY © Af¨šixb cwÖ Zdj‡bi †¶‡Î we‡f` Zj- ii. †PŠ¤^K †¶‡Îi cvK msL¨v e„w× Kiv nq 6ms−1 n‡j Zvi fi KZ? Gi b¨vq AvPiY K‡i| iii.KzÊjxi Zv‡ii †iva e„w× Kiv nq K 50kg L 60kg K †jÝ L `c©Y wb‡Pi †KvbwU mwVK? M 70kg N 80kg M Nb gva¨g N nvjKv gva¨g K i I ii L i I iii11. cPu v wWg cvwb‡Z †f‡m †Kb? 24. 50cm †dvKvm `iZ¡ wewkó DËj †j‡Ýi ¶gZv M ii I iii N i, ii I iii K cPu v wW‡gi NbZ¡ cvwbi †P‡q †ewk e‡j KZ? 33. `i `iv‡š Zwor †cÖi‡Yi Rb¨ Kx e¨eüZ nq? L cPu v wW‡gi NbZ¡ cvwbi †P‡q Kg e‡j M cuPv wW‡gi Kmyg †f‡½ hvq e‡j K − 2D L − 0.2D K Wvqbv‡gv M 0.2D N 2D N †KvbwUB bq L †Rbv‡iUi 25. †iwUbvq MwVZ cwÖ Zwe¤^ Kx ai‡bi?12. cxo‡bi GKK †KvbwU? M Av‡ivnx Uvª Ýdg©vi K Nm L Nm−1 K Aev¯e I Dëv L Aev¯e I †mvRv N Ae‡ivnx UªvÝdg©vi M Nm−2 N Nm−3 M ev¯e I Dëv N ev¯e I †mvRv 34. †iwWqvg avZz †ZRw¯Œq fvO‡bi d‡j av‡c av‡c13. GKwU cyK‡z ii ˆ`N¨© , c¯Ö ’ Ges D”PZv h_vµ‡g wb‡Pi wPθ‡jv †_‡K 26 I 27 bs c‡Ö kiœ DËi `vI: †Kvb avZz‡Z cwiYZ nq? 30m, 20m I 3m cKy iz wU cvwb w`‡q cY|© R A +++ −− −−++++++ B K wmjfvi L mxmv cKy ‡z ii cvwbi fi KZ? M A¨vjywgwbqvg N g¨vM‡bwmqvg K 8 †KwR L 18 †KwR 35. dzmdz‡m K¨vÝvi mbv³ Kivi Kv‡R e¨eüZ nq? M 1800 †KwR N 1.8 × 106Kg K GbwRIMvÖ g L AvjUvª m‡bvMvÖ g14. dv‡ibnvBU †¯‹‡ji DaŸw© ¯’iv¼ †KvbwU? M wmwU¯‹¨vb N G‡Ûv¯‹wc K 100°C L 212°F M 273K N 373KDËigvjv 1 K 2 M 3 M 4 L 5 L 6 N 7 M 8 L 9 K 10 M 11 L 12 M 13 N 14 L 15 L 16 M 17 N 18 K 19 K 20 L 21 K 22 N 23 N 24 N 25 M 26 L 27 K 28 K 29 K 30 N 31 M 32 K 33 M 34 L 35 M
6 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 6.W‡bvfvb miKvwi evwjKv D”P we`¨vjq, gv`vixcyi welq †KvW : 1 3 6mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. †KvbwU Aac© wievnx c`v_?© 12. GKwU 35 kw ¶gZv wewkó Bwćbi Kg©`¶Zv 23. D I E we›`y Øviv wK eySv‡bv n‡q‡Q?K KvP L c−vw÷K 51% BwÄbwUi jf¨ KvhK© i ¶gZv⎯ K Zi½ kxl© L Zi½ cv`M ivevi N wmwjKb i. 17.85kw M K¤•v¼ N we¯vi ii. 68.63 kw2. Zwor †Rbv‡iU‡i e¨eüZ Kvu Pv †jvnvi cvZvwU‡K iii. 68.63 × 103w 24. kã Zi‡½i †eM 1452.5 ms−1 n‡j AB c‡_wK e‡j? wb‡Pi †KvbwU mwVK? Pjgvb Zi½wUi K¤•v¼ KZ? K 1600 Hz L 1660 HzK Kg‡y UUi L Av‡g©Pvi Ki L ii M 16000 Hz N 16600 Hz M iiiM †¶ÎP¤z ^K N wúc wis N ii I iii 25. A, B I C we›`y wZbwUi †¶‡Î cÖ‡hvR¨⎯ 13. †KvbwU abvÍK KvR?3. †h mKj c`v‡_©i ga¨ w`‡q Zwor Z_v Avavb K jvd w`‡q †Nvovi wc‡V IVv i. Zi½ mbv³KiY KYvi `kv GKB ii. Zi½ mÂvjbKvix KYvi GKK mg‡qmn‡R PjvPj Ki‡Z cv‡i Zv‡`i‡K e‡j? L mgZj c_ a‡i †n‡u U Pjv K cwievnK L AšiK M MvQ †_‡K bvgv AwZµvš `iZ¡ mgvb M AcwievnK N Kcz wievnK N Mvwo‡Z ågY Kiv iii. Zi½ mbv³Kvix KYv Zi‡½i w`‡Ki4. †KvbwU jä ivwk? 14. Awfl©R wefe kw³i gvÎv †KvbwU? mv‡_ mg‡Kv‡Y AMÖmigvbK fi L `xcb ¶gZv K [MLT2] L [ML−2T2] wb‡Pi †KvbwU mwVK?M Zwor ceÖ vn N NbZ¡ M [ML2T−2] N [ML−2T−2] K i I ii L ii I iii 15. Kq †kÖwYi c`v_© cÖevnxi Ašf³©z ?5. ¯ŒzM‡Ri Aci bvg Kx? M i I iii N i, ii I iii K5 L4 K fvwbq© vi wgUvi L gvB‡µvwgUvi ¯ŒMz R M3 N2 26. mgZj `c©‡Y m„ó cÖwZwe¤⎯^ M gvB‡µvK¨vwjcvm© N e¨vKj¨vk hš K ev¯e I †mvRv L ev¯‡e Dë6. 20 ms−1 †e‡M Pjš Mvwo‡K †eKª K‡l 50s G 16. Nm−2 GKK wewkó ivwk n‡jv⎯ M Aev¯e I Dëv N Aev¯e I †mvRv i. Pvc ii. cxob_vgv‡bv n‡jv| G mgq MvwowUi AwZµvš `i Z¡ iii. w¯’wZ¯’vcK ¸Yv¼ 27. Av‡jv hLb GK gva¨g †_‡K Ab¨ gva¨‡g hvqn‡e⎯ wb‡Pi †KvbwU mwVK? ZLb⎯ i. Av‡jvi cwÖ Zdjb nqi. 5m ii. 350 cm Ki L ii M iiiiii. 0.5 km N i, ii I iii ii. Av‡jvi cwÖ ZmiY nqwb‡Pi †KvbwU mwVK? 17. RyZv cv‡q GKRb †jv‡Ki fi 50 kg RZy vi iii. Av‡jvi MwZ cwieZb© nqK i L ii wb‡Pi †KvbwU mwVK? Zjvi †¶Îdj 2.00 cm2 n‡j Pvc KZ n‡e?M iii N ii I iii K 2.45 × 106 Pa L 2.45 × 104 Pa Ki L ii I iii N i, ii I iii7. †KvbwU MwZi mgxKiY? M 2.45 × 10−4 Pa N 2.45 × 10−6 Pa M i I iiK v ∝ at L s ∝ ct 18. GKRjy = KZ K¨vjwi? 28. mgZj `c©Y e¨envi K‡i ˆZwi Kiv nq⎯ M v∝ s Ns∝ N K 4.2 L 0.24 K †Uwjwfkb L Ifvi‡nW cÖ‡R±i8. M 2.4 N 420 M †jRvi N me¸‡jv wb‡Pi DÏxcKwU co Ges 19-20 bs cÖ‡kœi DËi `vI : 29. µvwš †KvY †KvbwUi Dci wbf©i K‡i?DËigvjv 100m K Av‡jvi e‡Yi© Dci (V) 20°c L cÖwZmiY †Kv‡Yi Dci we¯vi0 (t) 50°c M we‡f` Z‡ji Dci N Awfj‡¤^i Dci l2 =100.033 30. eRcª v‡Zi mv‡_ mv‡_ †h kã †kvbv hvq Zv‡K†iLvwPÎ Øviv e¯‘i Z¡i‡Yi cÖK…wZ †KvbwU n‡e? e‡j⎯ K MRb© L eRªbv`K mgZ¡iY L AmgZ¡iY 19. DÏxc‡Ki c`v_w© U‡Z Zvc c‡Ö qv‡Mi d‡j M eRªùzwj½ N Zworex¶YM †KŠwYK Zi¡ Y N kb ¨ Z¡iYwb‡Pi DÏxcKwU co Ges 9-11 bs c‡Ö kœi DËi `vI : cÖmvwiZ nq †Kb? 31. `yBwU Avav‡bi ga¨eZx© `iZ¡ wZb¸Y Kiv n‡jvGK e¨emvqx gvj wb‡q GKwU Mvwo‡Z K‡i 20 ms−1 K c`v‡_©i AYy¸‡jv G‡jv‡g‡jvfv‡e web¨¯ G‡`i ga¨Kvi ej KZ¸Y n‡e?†e‡M Pj‡Q| hvÎvc‡_ Mvwoi PvjK nVvr wbqšY nvwi‡q nq e‡j 1 1 9 3†d‡j| GgZve¯’vq iv¯vi cv‡k GKwU Mv‡Qi mv‡_ L c`v‡_©i AYy¸‡jv mijc‡_ ¯’vbvšwiZ nq e‡j K L2s ci av°v jv‡M gvjmn MvwowUi fi 2×105 kg wQj| M c`v‡_i© AY¸y ‡jv †KŠwYKfv‡e ¯’vbvšwiZ M3 N99. e¨emvqxi kix‡i AvNvZ cvq †Kb? nq e‡j 32. †iv‡ai wecixZ ivwk⎯K w¯’wZ RoZvi Kvi‡Y N c`v‡_i© AY¸y ‡jv GKB Ae¯’v‡b †_‡K K cwievwnZv L cwievnKZ¡ Gw`K Iw`K ¯•w›`Z nq e‡j M Av‡cw¶K †iva N †ivaKZ¡L MwZ RoZvi Kvi‡Y 33. cÖevn‡K A¨vw¤•qv‡i †iva‡K In‡g Ges mgq‡KM Mvwoi MwZi Kvi‡Y 20. jw¤^K Zi½⎯ NÈvq cKÖ vk Ki‡j B.O.T GK‡K e¨wqZ ZworN AwfKl© e‡ji cfÖ ve K mh © iwk¥ L mg‡y `ªi †XD kw³i mgxKiYwU⎯10. MvwowUi Dci wµqviZ ej KZ wQj? M wMUv‡ii kã N †eZvi Zi½ K W = V2It 1000K 2 × 106N L 3 × 105N 21. cvwb‡Z k‡ãi †eM⎯ L W = I2RTM 2 × 105N N 2.5 × 104N K 522 ms−1 L 1540 ms−111. e¨emvqx AvNvZ cvIqv m‡ËI¡ gv‡ji AwaKvsk M 332 ms−1 N 1450 ms−1 Vt VI M W = 1000R N W = 1000A¶Z Ae¯’vq _v‡K⎯ 22. 2500 Hz K¤•v‡¼i Kw¤•Z †Kv‡bv kã 34. †fv‡ëR I Zwor cÖevn Dfq‡KB iƒcvši Ki‡Zi. gv‡ji fi‡eM k‡ b¨ cwiYZ n‡Z mgq Kg Zi‡½i Zi½ ˆ`N©¨ KZ? cv‡i⎯jv‡M K 0.133m L 0.0133mii. gv‡ji fi‡eM k‡ b¨ cwiYZ n‡Z mgq †ewk M 1.330m N 13.30m K Uvª Ýdigvi L gL ¨KÛz jx M Av‡g©Pvi N †MŠYKzÛjxjv‡M wb‡Pi wP‡Îi Av‡jv‡K 23-25 bs cÖ‡kœi DËi `vI : 35. wmwU ¯‹¨vb Kivi Kvi‡Y A‡b‡Ki GjvwR©iii. gv‡ji fi‡eM cwieZ©‡bi nvi A‡c¶vK…Z AB C RwbZ mgm¨v †`Lv †`q †Kb?Kg _v‡K 8.75cm K Zij Aw·‡R‡bi Rb¨wb‡Pi †KvbwU mwVK? L WvB bvgK Zi‡ji Rb¨ M †ZRw¯Œq wewKi‡Yi Rb¨Ki L ii N Av‡jvi cÖwZmi‡Yi Rb¨M iii N ii I iii DE1 N 2 L 3 K 4 N 5 L 6 M 7 M 8 N 9 L 10 K 11 N 12 K 13 M 14 M 15 N 16 N17 K 18 L 19 N 20 M 21 N 22 K 23 L 24 N 25 N 26 N 27 L 28 L 29 K 30 L 31 K 32 K33 L 34 K 35 L
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 7 7. B¶z M‡elYv D”P we`¨vjq, Cki¦ `x, cvebv welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. 1 kg mxmvi ZvcgvÎv 1 K evov‡Z KZ 15. GKwU B‡jKUª‡bi fi KZ? wb‡Pi wPÎwU j¶¨ Ki Ges 23-25 bs c‡Ö kœi DËi `vI : Rjy Zv‡ci c‡Ö qvRb? K 9.11 × 10−19 kg L 9.11 × 10−31 kg M 9.21 × 10−28 kg N 9.11 × 10−21 kg K 130 L 120 M 230 N 320 16. wmwU¯‹¨vb cix¶vwU cÖ‡hvR¨⎯2. 0°C ZvcgvÎvq evq‡y Z k‡ãi †eM KZ? we¯vi (†m.wg)1 i. †cjwfK gv‡mi Dcw¯’wZ wbY‡© q 1m 2m 3m 4m K 350 ms−1 L 344 ms−1 M 332 ms−1 N 300 ms−1 ii. dzmd‡z mi K¨vÝvi wbY‡© q3. DËj `cY© †Kv_vq e¨envi Kiv nq? iii. ü`h‡ši Îw“ U kbv³Ki‡Y f = 50 Hz miY → K Mvwo‡Z L UP© jvB‡U wb‡Pi †KvbwU mwVK? M ‡mŠiPwz j‡− Z N ivWv‡i Ki L ii 23. Zi½wUi Zi½‰`N¨© KZ?4. GKwU DËj `c©‡Yi eµZvi e¨vmva© 14 K 1m L 2m M 3m N 4m M i I ii N i, ii I iii †m.wg. n‡j Gi †dvKvm `iZ¡ KZ? 17. ey‡Ki e¨v_v cix¶vi Rb¨ c‡Ö hvR¨⎯ 24. Zi½wUi we¯vi KZ? K 14 †m.wg. L 3.5 †m.wg. i. G‡Ûvm‡Kvwc K 1m L 1cm M 2m N 2cm M 7 †m.wg. N 28 †m.wg. ii. BwmwR 25. Dc‡ii Zi½ GK ai‡bi⎯5. Av‡jv mij c‡_ P‡j †Kvb ga¨‡g? iii. †iwWI‡_ivwc i. Abcy ¯Ö ’ Zi½ ii. jw¤^K Zi½ iii. Avo Zi½ K ¯”^ Q I mgmË¡ gva¨‡g wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK? L A¯^”Q I mgmË¡ gva¨‡g K i I ii L i I iii K i L ii M ¯^”Q I AmgmË¡ gva¨‡g M ii I iii N i, ii I iii M i I iii N i, ii I iii N A¯^”Q I AmgmË¡ gva¨‡g 18. eZ©bx‡Z ˆe`y¨wZK Ae¯’v cwigv‡ci Rb¨ 26. †fŠZ RM‡Z hv wKQy cwigvc Kiv hvq6. †Kv‡bv †j‡Ýi †dvKvm `iZ¡ −0.1 m n‡j, e¨envi Kiv nq⎯ Zv‡K e‡j⎯ ¶gZv KZ? i. †fvëwgUvi ii. A¨vwgUvi K gvÎv L ivwk K 10D L − 10D iii. †Rbv‡iUi M GKK N cwi‡gq e¯‘ M 20 D N − 20D7. DËj †j‡Ýi f I 2f Gi g‡a¨ †Kvb j¶e¯‘ wb‡Pi †KvbwU mwVK? 27. wc_v‡Mviv‡mi RxebKvj? ivL‡j Gi we¤^ †Kv_vq MwVZ n‡e? K i I ii L i I iii K wLª÷ce© 624-569 K 2f `i ‡Z¡ L 2fGi †ewk `i‡Z¡ M ii I iii N i, ii I iii L wL÷ª ce© 527-497 M wLª÷ce© 460-370 M f `i‡Z¡ N Amx‡g 19. mgZj `c‡© Y⎯ N wLª÷ce© 287 - 2128. `ywU Avav‡bi ga¨eZx© `yiZ¡ A‡a©K Kiv i. e¯‘i `iZ¡ hZ, `c©Y †_‡K cÖwZwe‡¤^i 28. Zi¡ ‡Yi GKK †vbwU? n‡j G‡`i ga¨eZx© e‡ji cwigvY Kx n‡e? `i ZI¡ ZZ K ms−1 L ms−2 M Ns N kgs−2 K wظY n‡e L GK-PZz_v© sk n‡e ii. cÖwZwe¤^ c`©vq MVb Kiv hvq bv M Pvi¸Y n‡e N A‡aK© n‡e iii. cÖwZwe‡¤^i cvk¦x©q cwieZ©b N‡U 29. 10 kg f‡ii †Kv‡bv e¯‘ 10 ms−1 †e‡M9. wb‡Pi †KvbwU Zwor cwievnK? wb‡Pi †KvbwU mwVK? MwZkxj n‡j Gi fi‡eM n‡e− K KvP L KvV K i I ii L i I iii K 10 kgns−1 L 120 kgms−1 M cw„ _ex N Zzjv M 100 kgms−1 N 1 kgms−1 M ii I iii N i, ii I iii10. B‡jKU‡ª bi wbiew”Qbœ ceÖ vn‡K Kx e‡j? wb‡Pi Z‡_¨i Av‡jv‡K 20 - 22 bs c‡Ö kœi DËi 30. fi †Kvb ai‡bi ivwk? K w¯’i Zwor L Zwor †¶Î `vI : K †¯‹jvi ivwk L ‡f±i ivwk M Zwor ceÖ vn N Zwor ej‡iLv M w`K ivwk N Pvc ivwk11. 100W GKwU ˆe`y¨wZK evwZ cÖwZw`b 7 `Ny U© bv Gov‡bvi Rb¨ PvjK 10 ms−1 †e‡M 31. GKwU e¯‘‡K Uvb Uvb Ki‡j Gi g‡a¨ NÈv Rv¡ jv‡j GwcÖj gv‡m KZ Zwor kw³ MwZkxj GKwU Mvwo‡K †eªK K‡l 5s G _vwg‡q †Kvb kw³ Rgv _v‡K? LiP n‡e? w`‡jb| K MwZ kw³ L wefe kw³ K 21.0 kWh L 21.7 kWh 20. MvwowUi †kl †eM KZ? M Zvc kw³ N ivmvqwbK kw³ M 210.0 kWh N 217.0 kWh K 50 ms−1 L 2 ms−1 32. 60 kg f‡ii GKRb †jvK 15 cm DPz 40wU M0 N 0.5 ms−112. Uvª Ýdgv© ‡ii wb‡Pi †KvbwU icƒ vši K‡i? wmwu o 20s G DV‡Z cv‡i| †jvKwUi ¶gZv 21. MvwowUi Zi¡ Y KZ? K †fv‡ëR L Zwor ceÖ vn KZ? K −0.5 ms−2 L − 2 ms−2 M ‡fv‡ëR I Zwor ceÖ vn M − 10 ms−2 N − 50 ms−2 K 175W L 176W N ¶gZv13. †h Zwor hš Zwor kw³‡K hvwšK kw³‡Z 22. MvwowU †_‡g hvIqvi gny ‡ Z© Pvj‡Ki M 176.4 W N 277.2 W 33. evqPy vc cwigv‡ci h‡ši bvg Kx? icƒ všwiZ K‡i Zv‡K Kx e‡j? kix‡ii Dc‡ii As‡ki⎯ K _v‡g©vwgUvi L e¨v‡ivwgUvi K hvwšK †gvUi L ‡gvUi i. w¯’wZ RoZvi Kvi‡Y wZwb mvg‡bi M g¨v‡bvwgUvi N wmm‡gvwgUvi M Zwor †gvUi N Zwor kw³ w`‡K †n‡j c‡ob 34. †mvbvi NbZ¡ KZ?14. Kxfv‡e †ZRw¯Œh c`v_© †_‡K Avjdv, weUv ii. MwZ RoZvi Kvi‡Y wZwb mvg‡bi w`‡K K 10500 kgm−3 L 12600 kgm−3 M 19300 kgm−3 N 1000 kgm−3 I Mvgv iwk¥ wbMZ© nq? †n‡j c‡ob 35. Zvc w`‡j c`v‡_i© AY¸y ‡jvi MwZkw³i Kx K hLb GwU DËß Kiv nq iii. RoZv Mvwoi RoZv A‡c¶v Kg cwieZb© nq? L hLb Zvi Ici D”P Pvc c‡Ö qvM Kiv nq wb‡Pi †KvbwU mwVK? K K‡g L ev‡o M hLb Ab¨ c`v‡_©i mv‡_ msNl© nq K i I ii L i I iii M w¯’i _v‡K N wKQyB N‡U bv N †Kv‡bviKg cfÖ ve Qvov ¯Z^ :ù‚Z©fv‡e M ii I iii N i, ii I iiiDËigvjv 1 K 2 M 3 K 4 M 5 K 6 L 7 L 8 M 9 M 10 M 11 K 12 M 13 M 14 N 15 L 16 L 17 K 18 K 19 N 20 M 21 L 22 M 23 L 24 L 25 M 26 L 27 L 28 L 29 M 30 K 31 L 32 M 33 L 34 M 35 L
8 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 8. Kwz oMvÖ g miKvwi evwjKv D”P we`¨vjq, Kwz oMÖvg welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. hvi mv‡c‡¶ †Kvb e¯‘i w¯’wZ ev MwZ M Bivb N BivK 25. Kv‡Pi †h w`‡K wmjfvwis Kiv nq Zvi wbYq© Kiv nq Zv‡K e‡j⎯ 14. e¨v‡ivwgUv‡i cvi`¯‡¤¢i D”PZv ax‡i wecixZ cô„ ‡K e‡j⎯ K Roe¯‘ L Ro KvVv‡gv ax‡i evo‡j AvenvIqv Kx wb‡`k© K‡i? K Zjc„ô L wecixZ M Rwe KvVv‡gv N cÖm½ KvV‡gv K Av`ª L ew„ ócvZ M cÖwZdjK c„ô N gmY„ cô„2. wb‡Pi †KvbwU †¯‹jvi ivwk? M Nw YS© o N ﮋ 26. wmjfvwis Kiv KvP QvovI wb‡Pi †KvbwU K `w“ª Z L miY 15. GKK ˆ`‡N©¨i ev GKK AvqZ‡bi `c©Y wn‡m‡e we‡ewPZ n‡Z cv‡i? M ‡eM N Z¡iY cwieZb© ‡K Kx e‡j? K N‡ii †`qvj L Nlv KvP M mv`v KvMR3. †c‡Uvª j Bwćbi wmwjÛv‡ii g‡a¨ wc÷‡bi K w¯’wZ¯’vcKZv L cxob MwZ⎯ M weK…wZ N NbZ¡ N cvwjk Kiv †Uwej K ‰iwLK L chv© eË„ 16. c−vRgvi †¶‡Î †KvbwU wbw`©ó bq? 27. †mj‡y b †KvbwU e¨eüZ nq? M Pjb N ¯•›`b K fi I AvqZb L IRb I AvKvi K mgZj `c©Y L AeZj `cY©4. wb‡Pi †Kvb ivwk¸‡jvi GKK I gvÎv M fi I AvKvi M DËj `cY© N wcÖRg GKB bq? N AvKvi I AvqZb 28. P¶z †j‡Ý MwVZ cÖwZwe¤^ Kxicƒ ? K Z¡iY I g›`b L miY I `i Z¡ 17. †Kvb c`v‡_i© AY¸y ‡jvi g‡a¨ AvKl©Y K †mvRv I weewaZ© M ‡eM I Zi¡ Y N `wª“ Z I †eM weKlY© ej KvR K‡i bv? L D‡ëv I LweZ© M †mvRv I j¶¨e¯‘i mgvb5. GKwU Mvwoi †eM 27 ms−1 †_‡K mly gfv‡e K M¨vmxq L Zij M KwVb N avZe nv« m †c‡q 8s c‡i 11 ms−1 nq| MvwowUi N D‡ëv I weewaZ© Zi¡ Y KZ? 18. AvqZb cÖmviY mnM †¶Î cÖmviY mn‡Mi wb‡Pi c`Ö Ë Z_¨vbmy v‡i 29 I 30 bs cÖ‡kœi K − 2 ms−1 L 2 ms−2 KZ ¸Y? DËi `vI : M − 2 ms−2 N 4 ms−2 K 3 ¸Y L 3 ¸Y †ebwR‡b Av‡jvi †eM 2 × 108 ms−1 Ges 26. 70 kg f‡ii GK e¨w³ 200 m DPz ce©Z †ebwR‡bi mv‡c‡¶ †K‡ivwm‡bi cwÖ ZmiYv¼ M 2 ¸Y 2 ¸Y Av‡ivnY Ki‡jb, wZwb KZ KvR Ki‡jb? N 3 0.96| K 1.4 × 104J L 1.372 × 104J 19. cvwbi θ ˆÎawe›`iy ZvcgvÎv KZ? 29. †K‡ivwm‡bi mv‡c‡¶ †ebwR‡bi cÖwZiYv¼ M 1.4 × 106J N 1.372 × 106J K 373 k L 100 k n‡jv⎯7. †Kvb e¯‘i MwZ kw³⎯ M 1 k N 273.16 k K 5 L 24 i. e¯‘i f‡ii mgvbycvwZK 273 6 25 ii. e¯‘i †e‡Mi mgvbcy vwZK 20. B¯•v‡Zi AvqZb cÖmviY mnM 33 × 10−6 M 23 N 25 24 24 iii. e¯‘i †e‡Mi e‡M©i mgvbcy vwZK k−1 n‡j Gi ˆ`N¨© cmÖ viY mnM KZ? K 33 × 10−6 k−1 L 22 × 10−4 k−1 30. †K‡ivwm‡b Av‡jvi †eM n‡jv⎯ wb‡Pi †KvbwU mwVK? M 11 × 10−6 k−1 N 22 × 10−6 k−1 K 1.9968 × 108 ms−1 K i I ii L i I iii 21. ùzUbv‡¼i gvb wK‡mi Dci wbfi© K‡i? L 2.80 × 108 ms−1 M 2.08 × 108 ms−1 M ii I iii N i, ii I iii K Zv‡ci L Av`ªZvi N 1.8699 × 108 ms−18. ivbvœ i Kv‡R †Kvb kw³ e¨eüZ nq? M Nb‡Zi¡ N Pv‡ci i. ev‡qvgvm 22. wb‡Pi †KvbwUi Zvcxq cmÖ viY †ewk? 31. Zwo”PvjK kw³i GKK †KvbwU? ii. cvÖ K…wZK M¨vm K nvB‡Wªv‡Rb L cvwb K VA−1 L Cs−1 iii. Kqjv N JC−1 M cvi` N †jvnv M Nm2C2 wb‡Pi †KvbwU mwVK? 23. 100° C ZvcgvÎvi cvwb‡Z Zvc w`‡j⎯ 32. eZ©bxi Zwor cÖev‡ni gvb wbqšY K‡i K i L i I ii i. cvwbi ZvcgvÎv AcwiewZZ© _vK‡e †KvbwU? M ii N i, ii I iii ii. cvwb Zvc †kvlY Ki‡e K †ivaK L aviK M myBP N A¨vwgUvi9. 1 HP = KZ IqvU? iii. cvwb ev‡®• cwiYZ n‡e K 764 W L 674 W M 1000 W N 746 W 33. cKÖ …Zc‡¶ ZworcÖevn⎯ wb‡Pi †KvbwU mwVK?10. ¶gZvi gvÎv †KvbwU? K D”P wefe †_‡K wbæ wef‡ei w`‡K K iii L i I iii K MLT−3 L ML−2T−1 L wbæ wefe †_‡K D”P wef‡ei w`K M i N i, ii I iii M ML2T−3 N MLT2 M DfqB wb‡Pi cÖ`Ë Z_¨vbymv‡i 24-26 bs cÖ‡kœi DËi11. wb‡Pi †KvbwU mwVK? N †KvbwUB bq `vI : K 1 pa = 1N−1m−2 L 1 pa = 1 Nm−1 34. c−vw÷K †Kvb RvZxq c`v_?© M 1 pa = 1 N2m−2 N 1 pa = 1 Nm−2 mvaviYZ Kv‡Pi GKw`‡K avZiz c‡Ö jc jvwM‡q K mcy wievnx L Aac© wievnx12. ej wVK †i‡L †¶Îdj †ewk n‡j Pv‡ci `cY© ˆZwi Kiv nq| Kv‡Pi Ici avZiz c‡Ö jc M Kz-cwievnx N Acwievnx cwigvY †Kgb? †`qv‡K cviv jvMv‡bv ev wmjfvwis Kiv e‡j| 35. wefe cv_‡© K¨i GKK Kx? K K‡g L ev‡o 24. wmjfvwis Kivi b¨ mvaviYZ †Kvb avZz K Ing L IqvU M AcwiewZ©Z nq N †KvbwUB bq e¨envi Kiv nq? M †fvë N A¨vw¤•qvi13. gZ„ mvMi †Kv_vq Aew¯’Z? K †mvbv L Zvgv M cvi` N iƒcv K Rvcvb L RWv© bDËigvjv 1 N 2 K 3 K 4 M 5 M 6 N 7 L 8 N 9 N 10 L 11 N 12 K 13 L 14 N 15 M 16 N 17 K 18 L 19 N 20 M 21 N 22 K 23 N 24 N 25 M 26 N 27 K 28 L 29 N 30 M 31 N 32 K 33 K 34 N 35 M
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 9 9. †bvqvLvjx miKvwi evwjKv D”P we`¨vjq, †bvqvLvjx welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. cKÖ w… ZK BwZnvm m¤•‡K© GbmvB‡K¬vwcwWqv Kvi 14. GKwU AcwUK¨vj dvBev‡ii ga¨ w`‡q GKmv‡_ Dc‡ii eK− wPÎwU wK‡mi? iwPZ? KqwU †Uwj‡dvb ms‡KZ mÂvjb Kiv hvq? K Avj nv‡Rb L Avj-gvm`y x K 100wU L 500wU K Kw¤•DUv‡ii L wc›Ö Uv‡ii M iRvi †eKb N M¨vwjwjI M 2000wU N 5000wU M d¨v‡·i N B-†gB‡ji2. m‡hi© Pviw`‡K cw„ _exi MwZ wK MwZ? 15. 1C Avavbwewkó `wy U e¯y `‡ i evqy gva¨‡g 1m 23. G·iwk¥i Zi½ ˆ`N©¨ KZ? K ¯•›`b MwZ L ‰iwLK MwZ `i ‡Z¦ Ae¯’vb Ki‡j Zv‡`i g‡a¨ wµqvkxj ej M chv© eË„ MwZ N †`vjb MwZ KZ n‡e? K cÖvq 10–6m L cÖvq 10–7m3. GKwU e¯‡y K Lvov Dc‡ii w`‡K wb‡¶c Ki‡j K 1N L 225 × 109N M cÖvq 10–10m N cÖvq 10–11m e¯wy Ui Zi¦ Y n‡e⎯ M 4.5×109N N 9 × 109 N 24. †h †KŠk‡j GbwRI MÖvg Kivi mgq agbxi eK− i. 9.81 ms–2 ii. 32ms–2 16. 10C g³y Kiv nq Zv‡K Kx e‡j? iii. –9.81ms–2 K GbwRIMÖvwd L G‡Ûvm‡Kvwc wb‡Pi †KvbwU mwVK? Ki L ii P M GbwRI‡Kvwc N GbwRIc−vw÷ M iii 15N N ii I iii 25. K¨vÝvi Avµvš †Kv‡li DNA aŸsm Kivi4. msN‡li© mgq mó„ ej †Kvb ai‡bi e‡ji GKgvÎ wPwKrmv Ašf‚©³⎯ K GK ai‡bi gnvKl© ej K †iwWI †_ivwc L GbwRI MÖvwd L GK ai‡bi A¯•k© ej Zwor cÖvej¨ KZ n‡e? M GgAviAvB N G‡Ûvm‡Kvwc M GK ai‡bi ¯•k© ej N GK ai‡bi `ey j© wbDwKq¬ ej K0 L 2NC–1 26. wbivc` åg‡Yi †¶‡Î †KvbwU gLy ¨ fw‚ gKv cvjb M 10NC–1 N 20NC–15. †KvbwU ¶gZvi gvÎv? K‡i? K [ML–2T–2] L [ML–2T2] 17. 60W Gi GKwU evj¦ cwÖ Zw`b 5 N›Uv K‡i 30 w`b K fi L MwZ M [ML2T–3] N [ML2T–1] R¦vjv‡j KZ BDwbU we`¨y r kw³i c‡Ö qvRb n‡e? M Nl©Y N IRb6. gvbly evqiy Pvc Abfy e Ki‡Z cv‡i bv †Kb? K i‡³i Pvc Gi †P‡q mvgvb¨ †ewk e‡j K 9.Kwh L 19Kwh 27. 2kg 20N→m¤§Ly Mvgx L i‡³i Pvc Gi †P‡q Kg e‡j M 29Kwh N 30Kwh ej 10N M i‡³i Pvc Gi mgvb e‡j wb‡Pi wP‡Îi Av‡jv‡K 18 I 19 bs cÖ‡kœi DËi `vI: F2 N i‡³i Pvc Gi †P‡q A‡bK †ewk e‡j Nl©Y ej + F1 12V7. wMm− vwi‡bi cÖK…Z cÖmviY mnM 53 × 10–5K–1 0°C ZvcgvÎvq 200 cm3 wM−mvwi‡bi ZvcgvÎv 30°C A evov‡j Gi cÖmviY KZ n‡e? PQ wP‡Îi MvwowUi Zi¦ Y KZ? K –5ms–2 L 5ms–2 K 3.18cm3 L 4.18cm3 M 10ms–2 N 15ms–2 M 518cm3 N 6.18cm3 Dc‡ii wP‡Î GKwU m¤•Y© eZb© x †`Lv‡bv n‡q‡Q|wb‡Pi DÏxcKwU c‡o 8 I 9bs c‡Ö kiœ DËi `vI: GLv‡b PQ Gi gvSLv‡b GKwU evwZ I GKwU 12Ω 28. wb‡Pi †Kvb c`v‡_i© Av‡cw¶K Zvc †ekx? K †jvnv L cvwbAvgRv` k‡Li e‡m GKwU FM †iwWI wK‡b G‡m †iva‡K mgvšivj mwbœwe‡k hy³ Kiv n‡q‡Q| M Zvgv N Rjxq ev®•89.6MHZ G †iwWI U‡z W Gi Abôy vb ï‡b Avb›` cvq| 18. A¨vwgUv‡ii cvV 2.5A n‡j eZ©bxi evwZwUiZ‡e †m 630KHZ G m¤•ÖmvwiZ XvKv †eZvi †K›`ª n‡Z ¶gZv KZ n‡e? 29. GKwU mgZj `cY© ‡K Niy v‡j cwÖ ZdwjZ iwk¥ 60° †Kv‡Y N‡y i hvq| `cY© ‡K KZ †Kv‡YwekK¦ vc wµ‡K‡Ui GKwU ¸iZ“ c¦ Y© †Ljvi aviv weeiYx K 12w L 18w Nyiv‡bv n‡q‡Q?wb‡Ri †iwWI †Z ïb‡Z bv †c‡q †¶vf cKÖ vk Kij| M 30w N 60w8. AvgRv‡`i µqKZ… wWfvBmwU‡Z Mn„ xZ Zi½ 19. m¤•Y © eZb© xi †¶‡Î c‡Ö hvR¨⎯ K 30° L 80° M 90° N 120° gva¨‡gi KYv¸‡jvi K¤•‡bi w`‡Ki mv‡_ i. eZb© x‡Z `wy U c_ w`‡q Zwor ceÖ vwnZ nq 30. KwYq© vi evwn¨K MVb Kxicƒ ? ii. eZ©bxi GKB gvÎvi Zwor ceÖ vwnZ nq Kxi‡ƒ c AMmÖ i nq? iii. eZ©bxqi mKj c‡_i cÖv‡š ceÖ vwnZ nq K mgZj L DËj K mgvšivjfv‡e L mg‡Kv‡Y M e„ËvKvi c‡_ N DceË„ Kvi c‡_ wb‡Pi †KvbwU mwVK? M AeZj N DËjveZj 31. iwOb Qvcvi Rb¨ KZ iK‡gi iwOb Kvwj9. AvgRv‡`i µqK…Z wWfvBmwU‡Z M„nxZ Zi‡½i K i I ii L ii I iii e¨envi Kiv nq? M ii I iii N i, ii I iii Zi½‰`N©¨ KZ n‡e? 20. †h Uvª Ýdigvi Aí wef‡ei AwaK Zwor cÖevn‡K K2 L4 K 0.29m L 0.92m M 3.35m N 343 m AwaK wef‡ei Aí Zwor cÖev‡n i“cvši K‡i M5 N7 32. GK BDwbU mgvb KZ?10. †Mvjxq `c©‡Yi cÖwZdjK c„‡ôi ga¨we›`y‡K Kx e‡j? Zv‡K Kx e‡j? K 1 kw L 1 kwh K eµZvi †K›`ª L †gi“ M 1wh N 1w M caÖ vb †dvKvm N †MŠY †dvKvm K Av‡ivnx UªvÝdigvi L Ae‡ivnx Uvª Ýdigvi 33. Zwor †gvU‡i e¨eüZ Zvgvi ejq‡K Kx ejv11. DËj `c‡© Yi mv‡_ mvgÄm¨ we`¨gvb⎯ M Zwor †gvUi nq? i. cwÖ Zwe¤^ me©`v D‡ëv N Wvqbv‡gv K evª k L Av‡g©Pvi ii. cÖwZwe‡¤^i AvKvi e¯iy AvKv‡ii †P‡q †QvU M wúcwiI N Kg¨y ‡UUi iii. †dvKvm `i Z¦ mmxg I FYvÍK ivwk 21. Mvgv iwk¥i ˆewkó¨ n‡jv⎯ 34. Kw¤•DUvi wfkb wmb‡Wªvg Gi Kvi‡Y mó„ wb‡Pi †KvbwU mwVK? i. G iwk¥ Avavb wbi‡c¶ K i I ii L i I iii ii. G iwk¥ finxb †Pv‡L mgm¨v cÖwZ‡iva Kiv hvq⎯ iii. ¯í^ Avqbvqb ¶gZvm¤•bœ i. UvBc Kivi mgq nvZ †mvRv †i‡L M ii I iii N i, ii I iii ii. UvBc Kivi mgq nv‡Zi Av½yj mgvšivj †i‡L12. j¶¨e¯‡y K DËj †j‡Ýi mvg‡b †Kv_vq ¯’vcb wb‡Pi †KvbwU mwVK? iii. mwVK wbq‡g e‡m I mvg‡b †mvRvfv‡e Ki‡j cÖwZwe¤^ AZ¨š weewa©Z n‡e K i L i I ii ZvwK‡q †_‡K KvR K‡i K 2f `i‡Z¦ L f `i‡Z¦ M ii I iii N i, ii I iii wb‡Pi †KvbwU mwVK? M f I 2f `i‡Z¦ N Amx‡g 22. K i I ii L i I iii13. †Kvb e¨w³ 10cm †dvKvm `i‡Zi¦ AeZj †jÝ e¨envi K‡ib| H e¨w³i e¨eüZ †j‡Ýi ¶gZv msev` cPÖ vi M ii I iii N i, ii I iii cvVK hš 35. gvb‡y li kix‡ii bvB‡Uvª ‡Rbhy³ eR©¨ c`v_© KZ? Acmvi‡Y †KvbwU mnvqZv K‡i? K –10D L 10D wc›Ö Uvi MvÖ nK Zvi M 2D N 1D hš K hK…r L e„° M ü`wcÛ N dzmdmzDËigvjv 1 L 2 M 3 M 4 M 5 M 6 K 7 K 8 L 9 M 10 L 11 L 12 L 13 K 14 M 15 N 16 L 17 K 18 L 19 M 20 K 21 N 22 M 23 M 24 N 25 K 26 L 27 L 28 L 29 K 30 L 31 L 32 L 33 N 34 N 35 L
10 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 10. bvwmivev` miKvwi D”P we`¨vjq, PÆMvÖ g welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. 50N = --------- K i I ii L i I iii iii. GwU Zwor w`K wb‡`k© K‡i M ii I iii N i, ii I iii wb‡Pi †KvbwU mwVK? i. 50kg × lms–1 13. †Uwjwfk‡bi c`©vq wK Øviv cÖ‡jc †`qv _v‡K? ii. 5kg×10ms–1 K i I ii L i I iii iii. 50kg×10ms–1 K †gvRvBK L wmwRqvg M ii I iii N i, ii I iii M dmdi `vbv N wmjfvi n¨vjvBW 25. †Kvb Zv‡ii cvÖ šØ‡qi wefe cv_K© ¨ 20V; †iva wb‡Pi †KvbwU mwVK? K i I ii L i I iii 14. mgZj `c©‡Y m„ó cÖwZwe¤^ ⎯ 4Ω n‡j, Gi g‡a¨ w`‡q wK cwigvY Zwor M ii I iii N i, ii I iii cÖevwnZ n‡e? i. ev¯e2. Nwoi KuvUvi MwZ n‡”Q⎯ ii. †mvRv K 4A L 5A i. NYb© MwZ ii. Pjb MwZ iii. Aev¯e M 6A N 7A iii. chv© eË„ MwZ 26. nVvr e¨v‡ivwgUv‡ii cvi` ¯‡¤¢i D”PZv Ley wb‡Pi †KvbwU mwVK? K i I ii L i I iii K‡g †M‡j⎯ wb‡Pi †KvbwU mwVK? K i I ii L i I iii M ii I iii N i, ii I iii i. wbæPv‡ci m„wó n‡e 15. AeZj `c‡© Y caÖ vb A‡¶i mgvšiv‡j AvcwZZ ii. S‡oi m¤¢vebv Av‡Q M ii I iii N i, ii I iii iii. evqgy Û‡ji Pvc ax‡i ax‡i K‡g hv‡e Av‡jvK iwk¥ cÖwZdj‡bi ci wK N‡U? wb‡Pi †KvbwU mwVK?3. AveZ© Nl‡© Yi D`vniY⎯ K caÖ vb †dvKvm w`‡q hvq i. gv‡e‡© ji MwZ ii. Mvwoi MwZ L cÖavb †dvKvm †_‡K Avm‡Q e‡j g‡b nq K i I ii L ii I iii iii. mvB‡K‡ji MwZ M eµZvi †K›`ª w`‡q hvq M i I iii N i, ii I iii wb‡Pi †KvbwU mwVK? N caÖ vb A‡¶i mgvšiv‡j hvq 27. cv− Rgv n‡jv⎯ i. AwZ D”P ZvcgvÎvq AvqwbZ M¨vm K i I ii L i I iii 16. †KvbwU eY© ms‡e`bkxj? ii. c`v‡_©i 4_© Ae¯’v K wfwUªqvj wnDgvi L †KvY iii. wbw`ó© AvKvi I AvqZb wenxb M ii I iii N i, ii I iii M iW N †iwUbv wb‡Pi †KvbwU mwVK?4. 2kg f‡ii †Kvb e¯yi †eM 5ms–1 †_‡K 6ms–1 17. †Kvb e¨w³ 10 †m. wg. †dvKvm `i ‡Zi¦ AeZj Kiv n‡j Gi MwZ kw³ KZ ew„ × n‡”Q? K i I ii L ii I iii K 9J L 11J †jÝ e¨envi K‡ib †j‡Ýi ¶gZv KZ? M i I iii N i, ii I iii K -10d L 10d M 27J N 36J M 2d N 4d5. †KvbwUi Dci AwfKlR© wefe kw³i gvb wbfi© 28. hw` w1 = w2 nq Z‡e⎯ 18. †Kvb cwievnxi c¯Ö ’‡”Q` wظY Ki‡j †iv‡ai i. e¯wy U Zi‡j m¤•Y© wbgw¾Z Ae¯’vq fvm‡e K‡i bv? wK NU‡e? ii. e¯iy IRb e¯y Øviv AcmvwiZ Zi‡ji K fi L mgq IR‡bi mgvb M D”PZv N AwfKlR© Z¦iY K wظY L Pvi¸Y iii. e¯iy IRb e¯y Øviv AcmvwiZ Zi‡ji M A‡aK© N GK PZy_©vsk IR‡bi †P‡q Kg6. d¨v· †gwkb gjZ GKwU⎯ wb‡Pi †KvbwU mwVK? K wc›Ö Uvi L ¯‹¨vbvi 19. myßZv‡ci gva¨‡g⎯ M Zwor Av‡jvKxq †gwkb i. e¯iy ZvcgvÎv ew„ × nq N WvDb †jvWvi ii. e¯yi Ae¯’vi cwieZb© nqwb‡Pi Z_¨ †_‡K 7Ñ8 bs c‡Ö kiœ DËi `vI: iii. e¯yi Af¨šixY kw³ e„w× cvq K i I ii L ii I iii wb‡Pi †KvbwU mwVK? M i I iii N i, ii I iii 29. mgZj `c‡© Y ˆiwLK weea‡© bi gvb KZ?GKwU ev‡ji¦ Mv‡q 100W−220V †jLv Av‡Q| K i I ii L ii I iii K2 L17. evj¦wUi †iva KZ? K 484Ω L 806.67Ω M i I iii N i, ii I iii M 0.5 N 0.1 30. 15°C ZvcgvÎvq evq‡y Z k‡ãi `wª“ Z KZ? M 403.33Ω N 3.67Ω 20. ev®•vqb cÖfvevwšZ^ nIqvi KviY⎯ K 332ms–1 L 330ms–18. Gi g‡a¨ w`‡q KZ Zwor cÖevwnZ n‡e? i. Zij c`v‡_i© cKÖ w… Z M 362ms–1 N 341ms–1 ii. Zi‡ji Dcwi Z‡ji †¶Îdj K 0.455A L 3.67A 31. 0°C ZvcgvÎvi 1 †KwR eid‡K m¤•Y © cvwb‡Z M 0.273A N 0.5A iii. evqyi ﮋZv wb‡Pi †KvbwU mwVK? cwiYZ Ki‡Z KZ Zv‡ci c‡Ö qvRb n‡e?9. θ Gi gvb 90° n‡j Kv‡Ri cwigvY KZ? K 0J L 80J K 2100J L 4200J K i I ii L ii I iii M 336000J N 2268000J M 90J N 98J 32. 20°C ZvcgvÎvq GKwU †ij jvB‡bi ˆ`N©¨ 10m M i I iii N i, ii I iii10. bevqb‡hvM¨ kw³ n‡”Q⎯ 21. e¯yi cÖwZ GKK f‡ii Zvc aviY¶gZv‡K Kx n‡j 40°C ZvcgvÎvq Gi ˆ`N©¨ KZUzKz e„w× i. †Rvqvi fvUv e‡j? cv‡e? (†ij jvB‡bi Dcv`v‡bi ˆ`N©¨ cÖmviY ii. ev‡qvgvm iii. fZ‚ vcxq kw³ K Av‡cw¶K mßy Zvc L K¨vjwi mnM 11.6×10–6K–1) wb‡Pi †KvbwU mwVK? M Av‡cw¶K Zvc N Av‡cw¶K ¸i“Z¦ K 10.464cm L 10.232cm 22. d‡Uv Kwcqv‡i Wªv‡gi Dci †Kvb Avavb †¯•Ö M 0.464cm N 0.232cm K i I ii L i I iii 33. Rwni †kÖYxK‡¶i †cQ‡b e‡m e−¨vK‡ev‡W©i †jLv M ii I iii N i, ii I iii Kiv nq? ¯•ó †`L‡Z cvq bv| G‡¶‡Î Rwn‡ii †Pv‡Li11. Avjdv iwk¥i fi⎯ K abvÍK L FYvÍK wK ai‡bi Îw“ U n‡q‡Q? M Dfq Avavb i. nvB‡Wvª ‡Rb cigvYyi 4 ¸Y N †Kvb Avavb †¯•Ö Kiv nq bv K `xN© `w„ ó L n¯« ^ `„wó ii. †evib cigvYyi wظY M Pvj‡m N `ieÜ `„wó iii. wnwjqvg cigvYiy mgvb 23. we`y¨r Pg‡Ki mgq evqy gÛ‡ji⎯ 34. 10 †KwR cvwbi ZvcgvÎv 45°C †_‡K 46°C G wb‡Pi †KvbwU mwVK? K i I ii L i I iii i. Zvc e„w× cvq DbœxZ Ki‡Z KZ Zv‡ci c‡Ö qvRb n‡e? ii. cÖmvwiZ nq K 336000J L 42000J M ii I iii N i, ii I iii iii. Pvc e„w× cvq M 2100J N 4200J wb‡Pi †KvbwU mwVK? 35. cvwb ei‡d cwiYZ nIqvi mgq †KvbwU ew„ ×12. †ZRw¯ŒqZv GKwU⎯ i. ¯Z^ :ù‚Z© NUbv K i I ii L ii I iii cvq? ii. Aweivg NUbv M i I iii N i, ii I iii K fi L NbZ¦ iii. cKÖ w… Z wbqwšZ NUbv 24. Zwor ej‡iLv ⎯ M ZvcgvÎv N AvqZb wb‡Pi †KvbwU mwVK? i. ev¯‡e Gi †Kvb Aw¯Z¦ †bB ii. GwU Zwor ZxeZª vi gvb wb‡`©k K‡iDËigvjv 1 K 2 L 3 N 4 L 5 L 6 M 7 K 8 K 9 K 10 N 11 L 12 N 13 M 14 M 15 K 16 L 17 K 18 M 19 N 20 N 21 M 22 K 23 K 24 N 25 L 26 K 27 N 28 K 29 L 30 N 31 M 32 N 33 L 34 L 35 L
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 11 11. w` evWm& †iwm‡Wbwmq¨vj g‡Wj ¯‹jz GÛ K‡jR, †gŠjfxevRvi welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. evqiy cv¤• Avwe®‹vi K‡ib wPÎ-1 wPÎ-2 25. DÏxc‡Ki cÖwZmiY‡KvY 19° Gi Rb¨ AvcZb K ievU© ûK L †Kcjvi 13. 1bs wP‡Îi †j‡Ýi ¶gZv †KvY KZ n‡Z cv‡i? M fb ¸‡qwiK N iRvi †eKb K 4d L –4d K 19° L 25° M 30° N 45°2. 5 wgwj A¨vw¤•qvi⎯ M 2.5d N –2.5d K 5 × 106 A¨vw¤•qvi L 5 × 103 A¨vw¤•qvi 14. i. 2bs wP‡Îi †j‡Ýi ¶gZv +2d 26. d¨v· †gwkb Avwe®‹vi nq M 5 × 10-3 A¨vw¤•qvi N 5 × 10-6 A¨vw¤•qvi ii. nvBcvi‡g‡Uvª wcqv Îw“ U `i Ki‡Z 2 bs †jÝ K 1842 L 1882 M 1903 N 1960 e¨envi Kiv nq.....3. `w“ª Zi gvÎv⎯ 27. G·‡i Avwe®‹viK iii. 2bs †j‡Ýi †dvKvm `iZ¦ m` `iZ¦ K MLT–1 L ML–1 K †i‡K‡ij L i›U‡Rb M LT–1 N LT–2 wb‡Pi †KvbwU mwVK? M AvBb÷vBb N wbDUb4. i. †eM I `“wª Zi gvÎv mgvb K i I ii L ii I iii 28. i. x–ray Gi Zi½ ˆ`N¨© 10–10m Gi KvQvKvwQ ii. mij †`vj‡Ki MwZ chv© eË„ MwZ M i I iii N i, ii I iii ii. wmwU ¯‹¨vb hš Øviv mó„ cwÖ Zwe¤^ wÎgvwÎK iii. mylg †e‡M Pjgvb e¯yi Z¦iY kb ¨ nq 15. evqyi Pvc cwigvcK hš⎯ iii. _vBi‡qW K¨vÝv‡ii †¶‡Î †ZRw¯Œq Av‡qvwWb wb‡Pi †KvbwU mwVK? K _v‡gv© wgUvi L g¨v‡bvwgUvi Øviv wPwKrmv Kiv nq K i I ii L ii I iii M e¨v‡ivwgUvi N wmm‡UwgUvi wb‡Pi †KvbwU mwVK? M i I iii N i, ii I iii 16. 21°C ZvcgvÎvq evqy‡Z k‡ãi †eM K i I ii L ii I iii5. mej wbDwKq¬ e‡ji cvjv− ⎯ K 332ms–1 L 344ms–1 M 344.6ms–1 N 350.6ms–1 M i I iii N i, ii I iii K 10–10m L 10–12m 17. cvwb‡Z k‡ãi `“ªwZ L 1450ms–1 29. m¶ ¥ i³ bvwjKvi e‡− KR cix¶v Kivi chÖ wy ³i M 10–15m N 10–13m N 5130ms–1 K 344ms–16. 10 Ak¦¶gZv M 1650ms–1 bvg K 74.6W L 746W 18. mij †cwi‡¯‹vc ˆZwi‡Z e¨eüZ nq? K GbwRIc−vw÷ L GbwRI MÖvg M 7460W N 74600W M BwUwU N BwmwR7. 1 kg cvwbi ZvcgvÎv 1K evov‡Z KZ Ryj Zvc K mgZj `c©Y L AeZj `c©Y 30. ¯x‡ivM I cmÖ wZ weÁv‡bi me‡P‡q †ewk e¨envi 2 M DËj `cY© jvM‡e? nq N DËj I AeZj Dfq cKÖ vi `cY© K 42j L 2100j K G·-†i M 4200j N 8200j 19. AeZj †j‡Ý MwVZ cwÖ Zwe¤^ L BwUwU8. wef‡ei GKK †KvbwU? K m`we¤^ L Am` we¤^ M Avëvª m‡bvMvÖ wd K cj–1 L jc–1 M Dëv N weewa©Z we¤^ N GbwRI MÖvg M jc N jc–2 20. †Pv‡Li `xN© `„wó ΓwUi KviY 19. icƒ vi NbZ¦ K Aw¶‡MvjK eo n‡q hvIqv 31. GKwU AeZj †j‡Ýi ¶gZv x WvB AÞvi Gi K 1000kgm–3 L 10500kgm–3 L †Pv‡Li †j‡Ýi ¶gZv †e‡o hvIqv †dvKvm `iZ¦ M 193mmkgm–3 N 5000kgm–3 M †j‡Ýi ¶gZv K‡g hvIqv K 1 L –1 x x10. cvwb, Rjxqev®• I Zvgvi Av‡cw¶K Zv‡ci m m Abcy vZ N P¶z‡j‡Ýi †dvKvm `iZ¦ K‡g hvIqv M +xm N –xm K 19 : 10:1 L 21:10:2 21. kb ¨¯’v‡bi Rb¨ Kjz ‡¤i^ ae“ª ‡Ki gvb 32. c`v‡_©i RoZvi cwigvc M 21:14 : 1 N 21:12:2 K 9 × 109 Nm2C–2 K fi L ej L 9 × 10–9 Nm2C–211. e¯yi wefekw³ wbf©i K‡i⎯ M 6.67 × 10–7 Nm2C–2 M MwZ N w¯’wZ N 6.67×1011 Nm2C–2 i. f‡ii Ici 33. Pv‡ci GKK ii. D”PZvi Ici 22. we`¨y r Acwievnx c`v_© n‡jv K Nm L Nm–1 iii. AwfKlR© Z¦i‡Yi Ici K Zvgv L ivevi M Nm–2 N Kgm–2 wb‡Pi †KvbwU mwVK? M wmwjKb N Rv‡g©wbqvg 34. 10kg f‡ii cvwbi ZvcgvÎv 1k evov‡Z Mn„ xZ K i I ii L ii I iii 23. Av‡cw¶K †iv‡ai GKK Zvc M i I iii N i, ii I iii K jc–1 LΩ K 4.2 × 102j12. AkÖ“ ej‡Z †evSvq? M Ωm N (Ωm)–1 L 4.2×103j M 4.2×104j K A¨vKzqvm wnDgvi L wfwUªqvm wnDgvi evqiy mv‡c‡¶ cvwbi cwÖ ZmYv¼ 1.33| evqy †_‡K N 4.2×105j M AvBwim N Kò… gÛj cvwb‡Z cÖwZmi‡Yi †¶‡Î cÖwZmiY †KvY 19° cvIqv 35. µvwš †Kv‡Yi †¶‡Î cÖwZmiY †Kv‡Yi gvb †Mj| K 0° L 30° M 90° N 45° 40cm 50cm cÖ`Ë Z_¨ †_‡K (24 ⎯25) bs Gi DËi `vI| C FF C FF 24. cvwbi mv‡c‡¶ evqiy cwÖ ZmiYv¼ AB K 3.31 L 0.75 M 1.51 N 0.49DËigvjv 1 M 2 M 3 M 4 N 5 M 6 L 7 L 8 L 9 L 10 L 11 N 12 K 13 N 14 N 15 M 16 M 17 L 18 K 19 L 20 M 21 K 22 L 23 M 24 L 25 L 26 K 27 L 28 N 29 M 30 M 31 N 32 K 33 M 34 M 35 M
12 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 12. kÖxg½j miKvwi evwjKv D”P we`¨vjq, †gŠjfxevRvi welq †KvW : 1 3 6mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. mhM© nÖ Y m¤•wKZ© fwel¨Z evYx †K 14. †KvbwU evqyi †P‡q nvjKv? 25. AvcwZZ Av‡jvi KZUKz z cwÖ ZdwjZ n‡eK‡iwQ‡jb? K Rjxq ev®• L eo cvwbi KYv Zv wbfi© K‡i⎯ M KK© N cvi`K wc_v‡Mvivm L †_wjm i. KZ †Kv‡Y iwk¥ AvcwZZ n‡”Q ZviM †jvW‡÷vb N †W‡gvwUUª vm 15. gvbly †ewk D”PZvq DV‡j⎯ Dci2. Dcgnv‡`‡ki cÖ_g †bv‡ej weRqx weÁvbx i. kv¦ m ckÖ v¦ ‡m Avivg nq ii. cÖ_g gva¨‡gi cKÖ …wZi Dci†K? ii. k¦vm ckÖ ¦v‡m Kó nq iii. wØZxq gva¨‡gi cKÖ w… Zi DciK iex›`ªbv_ VvKzi L P›`‡ª kLi igb iii. bvK w`‡q i³ co‡Z cv‡i wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?M Ave`my mvjvg N W. BDbym3. Av‡jvi Zi½ Z‡Ë¡i D™¢veK †K? K i I ii L i I iii K i I ii L i I iii M ii I iii N i, ii I iii M ii I iii N i, ii I iiiK nvB‡Mb L †øjM †ivgvi N †_wjm 16. †Kvb m¤•Kw© U mwVK? 26. AcwUK¨vj dvBev‡i Av‡jvi †Kvb NUbv4. MwZkxj e¯‘i †e‡Mi gvb I w`K K α = 2β L α = 3β N‡U?AcwiewZZ© _vK‡j Zv‡K wK e‡j? M γ = 3α N β = 3γ K Av‡jvi cÖwZmiYK Mo †eM L Amg †eM 17. 100g fiwewkó A¨vjywgwbqv‡gi cv‡Îi L Av‡jvi cÖwZdjbM mly g †eM N Amg Zi¡ Y ZvcgvÎv 20°C evov‡Z 1800J Zvc jv‡M, M cY © Af¨šixY cÖwZdjb5. †Kvb ivwkhMy ‡ji GKK I gvÎv wfb?œ A¨vjwy gwbqv‡gi Av‡cw¶K Zvc KZ? N Av‡jvi we”Qiy YK ej I IRb L Z¡iY I g›`b K 900 Jkg−1K−1 L 900 J 27. †Kvb †j‡Ýi ga¨fvM cyi“ I cÖvšfvM M 950 Jkg−1K−1 N 920 Jkg−1M KvR I ¶gZv N `ªw“ Z I †eM 18. †Kvb ZvcgvÎvq †mjwmqvm I dv‡ibnvBU cvZjv?6. 72 Kmh−1 †e‡M Pjš GKwU Mvwo‡Z 4 †¯‹j GKB? K ¶xY ga¨ †jÝ L AeZj †j݆m‡KÛ hver 1.5 ms−2 Z¡iY cÖ‡qvM Kiv K 40°C L ⎯ 40°C M DËj †jÝ N Acmvix †jÝn‡jv| MvwowUi †kl †eM KZ? M −273°C N 30°C wb‡Pi wPÎ j¶ Ki Ges 28-30 bs c‡Ö kœi DËiK 20 ms−1 L 26 ms−1 19. †gvg Zi‡j icƒ vš‡ii mgq⎯ `vI :M 39 ms−1 N 3.9 ms−17. wbDU‡bi cÖ_g mÎ †_‡K wK wK wel‡qi i. AvqZb †e‡o hvq O FC F′ O′aviYv cvIqv hvq? ii. AvqZb K‡g hvq 28. j¶¨e¯‘ f `i ‡Z¡ Aew¯’Z n‡j we‡¤^iK ej L RoZv iii. Pvc evo‡j Mjbv¼ †e‡o hvq AvK…wZ Kxiƒc n‡e? wb‡Pi †KvbwU mwVK?M ej I RoZv N fi‡eM I ej K Lwe©Z L AZ¨š LweZ© K i I ii L i I iii8. GKRb QvÎx 30N ej Øviv GKwU 15 kg M ii I iii N i, ii I iii M AZ¨š weewa©Z N mgvbf‡ii GKwU ev·‡K av°v †`q| ev·wUi 20. m‡h©i Pviw`‡K c„w_exi evwl©K MwZ wK 29. D³ †j‡Ýi eµZvi †K›`ª KqwU?Z¡iY KZ? L 45 ms−2 ai‡bi MwZ? K 1wU L 2wUK 2.5 ms−2 N − 2 ms−2M 2 ms−2 K ¯•›`b MwZ L chv© eË„ MwZ M 3wU N GKwUI bv M mij Qw›`Z MwZ N NY©b MwZ9. 50kg f‡ii GKwU e¯‘i Ici 50N ej 30. D³ †j‡Ýi cwie‡Z© AeZj †jÝ e¨envi 21. †Kvb Zi‡½i Rb¨ gva¨‡gi cÖ‡qvRb nq?c‡Ö qvM Kiv n‡j Gi Z¡iY n‡e⎯ Ki‡j 2f `i‡Z¡ e¯‘ ivL‡j we‡¤i^ cKÖ …wZ K Av‡jvi Zi½K 12 ms−2 L 8 ms−2 †Kgb n‡e?M 13 ms−2 N 1 ms−2 L ZvwoZ †PŠ¤^K Zi½ M †eZvi Zi½ K weewa©Z L Lwe©Z10. †c‡Uvª wjqvg k‡ãi A_© Kx? N hvwšK Zi½ M mgvb N AZ¨š LweZ©K cv_i L †ZjM cv_‡ii g‡a¨ mwÂZ †Zj 22. k‡ãvËi Zi‡½i K¤•vsK KZ? 31. AšiK c`v_© wb‡Pi †KvbwU?N cv_i †_‡K Drcbœ †Zj K 20,000 Hz Gi †ewk K Zvgv L iƒcv11. †Rvqvi fvUvi kw³i mvnv‡h¨ Zwor L 2000 Hz Gi †P‡q †ewk M KuvP N A¨vjwy gwbqvgDrcv`‡bi †¶‡Î mdj †Kvb †`k? M 200,000 Hz Gi †P‡q Kg 32. †KvbwU Øviv A¨vw¤•qvi eySvq?K Bsj¨vÛ L h³y ivó« N 20 Hz Gi †P‡q †ewk K Cs−1 L Sc−1 23. mij †cwi‡¯‹v‡c KqwU `cY© _v‡K? M C−1s−1 N C−1M dv« Ý N ivwkqv K 2wU L 3wU 33. g¨vMgv wK?12. Kg©`¶Zv⎯ M 4wU N 5wU K ev‡qvgm L Wvqbv‡gvi. 100% Gi AwaK n‡Z cv‡i bv 24. wP‡Î cÖwZdjb †Kv‡Yi gvb KZ? M Zvc kw³ N MwjZ wkjvii. GKwU GKK wenxb ivwkiii. n‡jv AšgLy x© ¶gZv I ewng© Ly x 34. †Uwjfk‡b wcKPvi wUD‡ei wfZ‡i †hDËigvjv¶gZvi Abcy vZ ivmvqwbK c`v‡_©i c‡Ö jc _v‡K Zvi bvg Awfj¤^wb‡Pi †KvbwU mwVK? wK?K i I ii L i I iii 70° K A¨vjwy gwbqvg L dmdiM ii I iii N i, ii I iii K 50° M wmwjKb N wmjfvi M 30°13. Zwor cwievnx wnmv‡e KvR K‡i †KvbwU? 35. KZ mv‡j G·‡i Avwe®‹Z… nq?K KwVb L Zij L 40° K 1895 L 1899 N 20°M M¨vm N cv− Rgv M 1905 N 19281 L 2 L 3 K 4 M 5 M 6 L 7 M 8 M 9 N 10 M 11 M 12 K 13 N 14 K 15 M 16 M17 K 18 L 19 L 20 L 21 N 22 K 23 K 24 N 25 N 26 M 27 M 28 M 29 L 30 L 31 M 32 K33 N 34 L 35 K
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 13 13. mvZ¶xiv miKvwi evwjKv D”P we`¨vjq, mvZ¶xiv welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. G·‡ii Zi½ ˆ`N¨© KZ Gi KvQvKvwQ? 16. wmwRqvg-133 Gi K¤•v¼ KZ? K 10–9m L 10–10 K 9192631770Hz L 9129631770Hz 26. we¤^wU †Kgb n‡e⎯ M 9192431770Hz N 9192632720Hz M 10–11 N 10–12m i. m`2. †h †Kv‡bv cwievnxi †iva KqwU wel‡qi Dci 17. ch©vqe„Ë MwZ n‡Z cv‡i⎯ ii. Dëv wbfi© K‡i? i. e„ËvKvi iii. Am` K7 L5 ii. mij‰iwLK wb‡Pi †KvbwU mwVK? iii. Dce„ËvKvi M4 N3 K i I ii L ii I iii3. bvB‡µvg Zv‡ii Av‡cw¶K †iva Zvgvi Zv‡ii wb‡Pi †KvbwU mwVK? M i I iii N i, ii I iii Av‡cw¶K †iv‡ai KZ¸Y †ewk? K i I ii L ii I iii 27. AvcvZb I µvwš †Kv‡Yi g‡a¨ m¤•K© †Kgb? K 25 L 30 M i I iii N i, ii I iii K i = θc L i > θc M i < θc N i > θc M 60 N 58.8 18. Amgvb †e‡M Pjgvb e¯iy †eM wK‡mi Dci4. mgag©x 1C PvR© 1m `‡i †_‡K ci¯•i‡K KZ wbfi© K‡i? 28. Awjqvg A_© wK? e‡j weKl©Y Ki‡e? K `iZ¦ L ej K †Zj L cvwb K 9 × 109N L 9 × 1010N M mgq N †KvbwUB bq M cv_i N Kqjv M 9 × 10–9N N 9 × 1010N 19. wbDU‡bi cÖ_g mÎ wK‡mi aviYv †`q? 29. Zwor e‡ji Kvi‡Y mw„ ó nq⎯5. †¯•Ö Mvb †KvbwU ˆZwi K‡i? K ej L KvR i. Nl©Yej M MwZ N `iZ¦ K AbvwnZ KYv L wbi‡c¶ KYv ii. w¯•sÖ ej M PvRn© xb KYv N AvwnZ KYv 20. Kv‡Ri gvÎv mgxKiY †KvbwU? iii. Uvbej6. †Kvb AvB‡mv‡Uv‡ci mvnv‡h¨ Acv‡ik‡bi K ML2T–1 L ML–1T–2 wb‡Pi †KvbwU mwVK? hšc vwZ RxevYygy³ Kiv nq? M ML2T–2 N ML–2T2 K i I ii L i I iii K †Kvevë-59 L †Kvevë-60 21. NbZ‡¦ K wK w`‡q cKÖ vk Kiv nq? M ii I iii N i, ii I iii M †Kvevë-62 N †Kvevë-63 Kη Lμ 30. wPÎvbymv‡i e¯iy miY KZ?7. MxÖ W Zwor ceÖ vn wbqšY K‡i⎯ Mϑ Na K 4m L 5m M 6m N 45m K A¨v‡bvW ←→ K¨v‡_vW 22. mgy‡`ªi cvwb‡Z 20°C ZvcgvÎvq k‡ãi †eM L A¨v‡bvW→K¨v‡_vW 1450ms–1 sonar Gi kãZi½ †ciÖ Y I MnÖ ‡Yi wP‡Îi Av‡jvK (31-32) bs cÖ‡kiœ DËi `vI : M K¨v‡_vW→A¨v‡bvW ga¨eZ©x mgq 0.69s. mg‡y `iª MfxiZv KZ? F N Zwor ceÖ vn wbqšY MxÖ ‡Wi KvR bq K 1500m L 1000m8. P-n Rskb Wv‡qvW wK wnmv‡e KvR K‡i? M 100m N 500m K Aa©-cwievnx L GKgwy LKviK wb‡Pi wPÎ n‡Z (23-24) bs cÖ‡kiœ DËi `vI: M Uvª ‡qvW N UªvbwR÷i Pn P 20cm cvwb9. µvwš†KvY‡K wK w`‡q cKÖ vk Kiv nq? 23. wP‡Î n n‡jv⎯ KΔ L ΔC K wb:mviK L cxV M θC N θK M msMÖvnK N weea©K10. myßZvc e¯iy wK cwieZb© K‡i bv? 24. GwU e¨eüZ nq⎯ K MwZ L ZvcgvÎv i. †iKwUdvqvi wnmv‡e 31. cÖ`wk©Z ZijwUi NbZ¦ KZ? M AvšAvYweKeÜb N me¸‡jv ii. A¨vgwc−dvqvi wnmv‡e K1 iii. mBy P wnmv‡e L 1000gm/cm311. †Kvl bó nq hw` Gwm‡Wi NbZ.¦ .....nq? wb‡Pi †KvbwU mwVK? M 1000 K Kg L †ewk N 1000kg/m3 K i I ii L i I iii M cwieZ©b N w¯’i 32. cv‡Îi Zjvq Zij KZ…©K Pv‡ci gvb KZ? M ii I iii N i, ii I iii12. GKwU e›`Ky †_‡K 500ms–1 †e‡M 10g f‡ii K 98Pa L 980Pa 25. m¤•K¸© ‡jv j¶¨ Ki⎯ M 1690Pa N 1960Pa GKwU ¸wj †Qvov nj| e›`‡y Ki fi 1kg n‡j F 33. †jvnvi g‡a¨ kã evZv‡mi †P‡q KZ ¸Y `“ªZ Gi cðvr †eM KZ? i. q = E K 2.5ms–1 L 5.5ms–1 v P‡j? ii. W = q M 5ms–1 N 7.5ms–1 K 15 L 1413. AcwUK¨vj dvBev‡ii c`v‡_i© cwÖ Zmiv¼ KZ? iii. v = w M 13 N 12 q K 1.5 L 1.7 34. kã †kvbvi ci Zv KZ¶Y gvb‡y li gwZ‡®‹ wb‡Pi †KvbwU mwVK? M 1.6 N 2.7 ¯’vqx nq?14. cvnvwo iv¯vi wec`RbK evu ‡K KZ †Kv‡Y K i I ii L i I iii K 10–1s L 5–2s M 3–1s N 4–1s `cY© emv‡bv _v‡K? M ii I iii N i, ii I iii K 40 L 45 35. †KvbwUi fi †bB? M 50 N 44 mA K∝ L e-15. Zwor `ey ©j ej Avwe®‹vi K‡ib †K? Mn N℘ K nvB‡Mb L ûK P C F M †øj N Avãym mvjvgDËigvjv 1 L 2 M 3 N 4 K 5 N 6 L 7 L 8 L 9 M 10 L 11 K 12 M 13 L 14 L 15 N 16 K 17 N 18 M 19 K 20 M 21 M 22 N 23 L 24 M 25 L 26 K 27 L 28 K 29 K 30 L 31 N 32 N 33 K 34 K 35 N
14 c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 14. ei¸bv miKvwi evwjKv D”P we`¨vjq, ei¸bv welq †KvW : 1 3 6mgq ⎯ 35 wgwbU c`v_©weÁvb cY©gvb ⎯ 351. †K †jvW‡÷vb †PŠ¤K^ ag© m¤•‡KI© Rvb‡Z? K 3.92 kw L 6.92kw M ii I iii N i, ii I iii M 39.20kw N 392kw 25. gvKokv KZ nvR© K¤•vs‡Ki kã ˆZwi Ki‡ZK wc_v‡Mvivm L †W‡gvwµUvmM †_wjm N AvwK©wgwWm 13. ev‡qvM¨vm c−v‡›U †Mvei I cvwbi wgk‡Ö Yi I ïb‡Z cv‡i?2. †K c−v‡¼i †Kvqv›Uvg Z‡Ëi¦ GKwU ï×Zvi Abcy vZ KZ? K 35,000Hz L 1,00,000Hz M 45,000Hz N 36,000HzcÖgvY Dc¯’vcb K‡ib? K2:1 L 1:3K m‡Z¨›`ªbv_ emy M 3:1 N 1:2 26. DËj `c‡© Yi †¶‡Î cwÖ Zwe¤^ MV‡bi †¶‡ÎL m¨vi RM`xmP›`ª emy mZ¨⎯M AvBb÷vBb 15 i. DËj `c‡© Y cwÖ Zwe¤^ `c‡© Yi wcQ‡b MwVZ nqN †c‡− Uv 10 A B ii. DËj `c‡© Y ev¯e, †mvRv I j¶e¯yi †P‡q3. 1ns = KZ?DËigvjvK 10–6 L 10–7 D eo cwÖ Zwe¤^ MVb nq v ms– 1 5 CEM 10-9 N 10–8 iii. DËj `c‡© Y Aev¯e, †mvRv I j¶ e¯yi4. ˆiwLK †¯‹‡ji cvV 6mm Ges e„ËvKvi †¯‹‡ji †P‡q †QvU cwÖ Zwe¤^ MVb nqfvM 40 n‡j, †Kvb Zv‡ii e¨vm KZ? Mvwoi fi 1000 kg wb‡Pi †KvbwU mwVK?K 3.2 mm L 6.4 mmM 4.4 mm N 2.4 m 14. †jL0wP‡Îi †Kvb As‡k †tesMecmg‡qi mgvbcy v‡Z K i I ii L i I iii M ii I iii N i, ii I iii5. †Kvb GKwU Rxc Mvwo ewikvj †_‡K Lyjbv e„w× cvq⎯ 27. †Mvjxq `c‡© Yi †gi“ I eµZvi †K‡›`ªi ga¨ w`‡qhvIqvi c‡_ mKj 10 Uvq iIbv n‡q 7 N›Uvq K OA As‡k L AB As‡k M CD As‡k N DE As‡k AwZµgKvix mij‡iLv‡K `c‡© Yi wK e‡j?364 wK‡jvwgUvi c_ AwZµg K‡i Zvn‡j Rxc 15. m‡e©v”P MwZ kw³ KZ? K e·Zvi e¨vmva© L †gi“MvwowUi Mo `ªw“ Z KZ? M †MŠY A¶ N caÖ vb A¶i. 52 kmh–1 K 1.25×105J L 5 × 104Jii. 866 ms–1 M 1.25×104J N 6.2×103J 28. evqy †_‡K cvwb‡Z cÖwZmi‡Yi †¶‡Î AvcZbiii. 50 kmh–1 16. Nb‡Zi¦ GKK Kx? †KvY 30° Ges cÖwZmiY †KvY 19° n‡j, evqywb‡Pi †KvbwU mwVK? K kgm2 L kgm–3 M kgm–4 N kgNm–3 mv‡c‡¶ cvwbi cwÖ ZmiYv¼ KZ?K i I ii L i I iii K 1.629 L 1.723 17. wMm− vwi‡bi NbZ¦ KZ? M 1.538 N 1.638M i N i, I ii K 1260kgm–3 L 920kgm–3 M 1000 kgm–3 N 250 kgm–3 29. †Kvb Z_¨wU cY © Af¨šixY cwÖ Zdj‡bi kZ©⎯6. wb‡Pi Ask¸‡jv co I mwVK DËi `vI⎯ i. Nb gva¨‡g i †Kvb θC †Kv‡Yi †P‡q eo n‡Zi. Z¦i‡Yi gvÎv LT2 18. 10 Cal = KZ Rjy ? n‡eii. †eM GKwU †f±i ivwkiii. g Gi Av`k© n‡”Q 9.80669 ms–2 K 4.5j L 4.2j M 45j N 42j ii. θC< cÖwZmiY †KvY 90° (+) iii. nvjKv gva¨g †_‡K Nbgva¨‡g c‡Ö ekwb‡Pi †KvbwU mwVK? 19. GKRb m¯y ’ gvb‡y li †`‡ni ZvcgvÎv 97.5F|K i I ii L i I iii †mjwmqvm †¯‹‡j GB ZvcgvÎv KZ n‡e? Av‡jvK iwk¥ c‡Ö ek Ki‡Z n‡e K 36.38°C L 36.39°CM ii I iii N i, ii I iii M 36.89°C N 37.5°C wb‡Pi †KvbwU mwVK?7. GKwU ivB‡dj e‡y jU †_‡K 10 kms–1 †eM 10 20. wb‡Pi Z_¨¸‡jv co I DËi `vI ⎯ K i I ii L ii I iiigm f‡ii GKwU ey‡jU †Quvov nj| ivB‡d‡ji M ii I iii N i, ii I iii i. Zvgvi ˆ`N©¨ cÖmviY mnM 16.7 × 10–6k–1 30. †Kvb †j‡Ýi †dvKvm `i Z¦ –0.25cm n‡j Gifi hw` 20kg nq, Gi cðvr †eM KZ?K –10ms–1 L 10ms–1 ii. Vr = Va + Vg ¶gZv KZ?M –5ms–1 N 5ms–1 K –400D L 40D iii. ℘ = 3 ∝ Ges 2∝ = β M –10D N 10D wb‡Pi †KvbwU mwVK?8. GKwU e¯y w¯’i Ae¯’vb †_‡K a mgZ¦i‡Y K i I iii L i I iii 31. Kzj¤^ aeª“ ‡Ki gvb KZ?Pj‡Q| wbw`ó© mg‡q GB e¯yi AwZµvš `iZ¦ M i I ii N i I iii K 9 × 109Nm2C–2 L 9 × 1011Nm2C–2n‡e⎯ 21. Rjxq ev‡®•i Av‡cw¶K Zvc KZ? M 3 × 1011 Nm2C–2 N 8 × 10–11Nm2C–2 u+v 2S=( )i. t K 2000 Jkg–1k–1 L 4200Jkg–1k–1 32. Uvs‡÷b c`v‡_©i †ivaKZ¦ KZ?ii. S = ut + 1 at2 M 130Jkg–1k–1 N 230Jkg–1k–1 K 1.7×108Ωm L 5.5×10–8Ωm 2 M 100×10–8Ωm N 1.6×10–8Ωm 22. †ij jvBb wbgv© ‡Yi mgq `y‡Uv †ij †hLv‡biii. S2 = u2 + 2at 33. GKwU Uvª Ýdgv© ‡ii gLy ¨ KzÛjxi cvKmsL¨v 20 wgwjZ nq †mLv‡b GKUz dvu Kv ivLv nq †Kb?wb‡Pi †KvbwU mwVK? Ges †MŠY KÛz jxi cvK msL¨v 100, gyL¨ KÛz jxi K †jvnv mvkÖq Kivi Rb¨K i L i I ii L MÖx®§Kv‡j †ij jvB‡bi ZvcgvÎv e„w× nv« m Zwor ceÖ vn 9A n‡j †MŠY KzÛjxi cÖevn KZ?M ii I iii N i, ii I iii Kivi Rb¨ K 1.4A L 2.8A9. `ye©j wbDwKq¬ e‡ji cvj−v KZ? M 3.8A N 1.8A M †ijMvwo Pjvi mgq LULU kã Kivi Rb¨K 10–14m Gi †ewk L 10–16m Gi Kg N Zvcxq cÖmvi‡Yi Rb¨ †ij jvB‡bi weK…wZ 34. †Uwjwfkb m¤•PÖ vi K¨v‡givi KvR Kx?M 1012m N 108m cwinvi Kivi Rb¨ K Qwe‡K Zwor ms‡K‡Z ic“ vši Kiv L Qwe‡K kã Zi‡½ i“cvši Kiv10. GKwU evjK 150 ejØviv GKwU 40kg f‡ii 23. 40°C ZvcgvÎvq evq‡y Z k‡ãi †eM KZ? M Zwor ms‡KZ‡K Qwe‡Z i“cvši KivGKwU ev·‡K av°v †`q| ev·wUi Zi¦ Y KZ K 344ms–1 L 350ms–1 N kã Zi½‡K Qwe‡Z i“cvši Kiv M 356ms–1 N 332ms–1n‡e?K 2.5 ms–2 L 4.10ms–2 24. wb‡Pi †Kvb Z_¨wU mwVK? 35. ETT Gi cY © icƒ wK?M –3.7ms–2 N 3.75ms–2 i. Mvwoi nY© Ah_v evRv‡bv ev †Rv‡i evRv‡bv K Exercise Tolerance Test11. Sliding friction †K wK e‡j? cwinvi Kiv DwPZ L Exercise Tolarance Test M Exarcise Tolerance TastK wcQjv‡bv NlY© L ceÖ vnx NlY© ii. kã `l ‡Yi nvZ †_‡K evu Pvi Dcvq n‡jv N Exercise Tolerence TestM w¯’wZ NlY© N AveZ© NlY©12. †Kvb †µ‡bi mvnv‡h¨ 800kg B¯•vZ‡K 20s G kã Kgv‡bv iii. Abôy v‡b D”P¯‡i gvBK evRv‡bv DwPZ10m DPu z‡Z †Zvjv nj| †µbwU KZ ¶gZv wb‡Pi †KvbwU mwVK?cÖ‡qvM Kij? K i I ii L i I iii1 M 2 K 3 M 4 L 5 M 6 K 7 N 8 L 9 L 10 N 11 K 12 K 13 N 14 K 15 L 16 L17 K 18 N 19 L 20 L 21 K 22 N 23 M 24 K 25 M 26 L 27 N 28 M 29 K 30 K 31 K 32 L33 N 34 K 35 N
c`v_©weÁvb Q wbev© Pwb cix¶vi ckÖ œ I DËi : eûwbev© Pwb 15 15. miKvwi niP›`ª evwjKv D”P we`¨vjq, SvjKvVx welq †KvW : 1 3 6 mgq ⎯ 35 wgwbU c`v_©weÁvb cY ©gvb ⎯ 351. wb‡Pi †KvbwU‡Z GbvjM †WUv‡K wWwRUvj ev 14. cvigvYweK mvg‡gwi‡b wbDwKq¬ kw³‡K †Kvb ii. ns < np wWwRUvj †WUv‡K GbvjM †WUv‡Z i“cvši K‡i? kw³‡Z ic“ všwiZ nq? iii. EpIp = EsIs wb‡Pi †KvbwU mwVK? K gW‡z jUi K we`y¨r kw³ L hvwšK kw³ K i I ii L i I iii L g‡Wg M Av‡jvK kw³ N ivmvqwbK kw³ M ii I iii N i, ii I iii M wWgW‡z jUi 15. chv© ‡e¶Y I cix¶vi gva¨‡gB weÁv‡bi me 28. Uvª Ýdgv© i wb‡Pi †KvbwU ic“ vši K‡i? N A¨vWvi mZ¨ hvPvB Kiv DwPZÑ GwU Kvi gZ? K ¶gZv L †fv‡ëR2. wb‡Pi †KvbwU A¨vgwc−dvqvi ev weea©K wn‡m‡e M Zwor ceÖ vn K U‡jwg L iRvi †eKb KvR K‡i? M wbDUb N AvwK©wgwWm N †fv‡ëR I Zwor cÖevn K Wv‡qvW L †jW 16. MwZi Rb¨ †KvbwU mZ¨? 29. k‡ãvËi Zi‡½i mvnv‡h¨⎯ M Nwo N UªvbwR÷i K v α at L sα s i. Kvc‡oi gqjv cwi®‹vi Kiv hvq3. †ZRw¯ŒqZv †K Avwe®‹vi K‡ib? M v α s2 N v α at ii. †ivM wbYq© Kiv hvq K cxqv‡i Kwz i L †eK‡ij 17. AwfKl© e‡ji cfÖ v‡e †Kvb e¯y wb‡P co‡Q| iii. `vu ‡Zi †¯‹wjs Kiv hvq M _gmb N iÄb GwU wK‡mi D`vniY? wb‡Pi †KvbwU mwVK?4. †iKwUdvqvi †Kvb KvRwU K‡i? K mvg¨ej L Zwor ej K i I ii L ii I iii K †fv‡ë‡Ri weeab© NUvq M Amvg¨ ej N wbDwKq¬ ej M i I iii N i, ii I iii L Zwor cÖevn e„w× K‡i 18. Dead sea †Kv_vq Aew¯’Z? 30. we‡¤i^ AvKvi e¯yi Zjy bvq eo n‡j weea©‡bi M Zwor ceÖ vn n«vm K‡i K Rvcv‡b L Bsj¨v‡Û gvb n‡e⎯ N Zwor cÖevn GKgyLx K‡i M RW©v‡b N wdbj¨vÛ K 1 Gi mgvb L 1 Gi †P‡q eo5. mKj †bUIqv‡Ki© Rbbx †KvbwU? 19. †Uix‡mwji kb¨ ¯’v‡b Kx _v‡K? M 1 Gi †P‡q †QvU K DB‡ÛvR L Kw¤•DUvi K mvgvb¨ Rjxq ev®• L mvgvb¨ cvi` ev®• M wUwf N B›Uvi‡bU N 1 Gi mv‡_ m¤•K© †bB M N2 gas N wKQBy _v‡K bv 31. `i `„wói Rb¨ †Pv‡Li mvg‡b j¶¨ e¯yi we¤^6. d¨v· †gwkb⎯ 20. wb‡Pi †KvbwU Av‡cw¶K Zv‡ci GKK? †iwUbvi †Kv_vq Aew¯’Z nq? K Jkg–1 L Jkg–1K–1 i. †gv‡Wg e¨eüZ nq M JK–1 N JS–1 K mvg‡b L mgZ‡j M †cQ‡b N we¤^ MwVZ nq bv ii. WvqvMvÖ g †ciÖ Y K‡i 21. `By UzK‡iv eid GK‡Î ax‡i Pvc w`‡j †Rvov iii. Zwor Av‡jvKxq †gwkb †j‡M hvq †Kb? 32. cwÖ ZmiYv¼ wbfi© K‡i⎯ wb‡Pi †KvbwU mwVK? i. KwVbx feb I Mjb i. gva¨‡gi Nb‡Z¦i Dci K i L iii ii. Zi½ ˆ`‡N¨© i Dci ii. cby :wkjxfeb M ii I iii N i, ii I iii iii. ev®•xfeb7. mh © MnÖ Y m¤•‡K© fwel¨Øvbx K‡ib? wb‡Pi †KvbwU mwVK? iii. Av‡jvKxq e‡Yi© Dci wb‡Pi †KvbwU mwVK? K wc_v‡Mvivm L U‡jgx K i I ii L ii M †_wjm N Be‡b wmbv M i I iii N i, ii I iii K i L i I ii8. †KvbwU †f±i ivwk? 22. GKwU e¯yi ˆ`N¨© 0.1m Ges †Mvjxq `c©‡bi M ii I iii N i, ii I iii K KvR L kw³ ˆiwLK weeab© 0.5 n‡j we‡¤i^ ˆ`N©¨ KZ n‡e? 33. cxob m¤•‡K© wb‡Pi †Kvb¸‡jv mwVK? M ZvcgvÎv N Zwor ZxeªZv K 0.5m L 0.05 i. e¯iy GKK AvqZ‡bi Dci cÖhy³ ej‡K9. ˆe`y¨wZK cvLvi MwZ †Kvb ai‡bi MwZ? M 5m N 50m cxob e‡j K ‰iwLK MwZ L Pjb MwZ 23. †Kvb AeZj `c‡© bi mvg‡b r `i‡Z¦ †Kvb e¯y ii. cxo‡bi GKK Nm–2 2 M ¯•›`b MwZ N NYb© MwZ iii. cxob α weKw… Z10. avZiy †fRvj wbY©‡qi mÎ Avwe®‹vi K‡ib †K? ivL‡j Gi we¤^⎯ wb‡Pi †KvbwU mwVK? K †W‡gvwµUvm L AvwK©wgwWm i. Amx‡g MwVZ n‡e K i I ii L i I iii M ii I iii N i, ii I iii M †Kcjvi N †øj ii. me©`v ev¯e I D‡ëv nq11. GKwU Pjš †Uª‡bi wfZ‡ii hvÎx⎯ iii. AZ¨š weewaZ© nq i. Av‡cw¶K w¯’wZkxj wb‡Pi †KvbwU mwVK? ii. Av‡cw¶K MwZkxj K i I ii L i I iii iii. cig MwZkxj M i I iii N i, ii I iii wb‡Pi †KvbwU mwVK? 24. wb‡Pi †KvbwUi mvnv‡h¨ Avav‡bi Aw¯’Z¦ wbYq© K i I ii L i I iii Kiv hvq? M ii I iii N i, ii I iii K A¨vwgUvi L †fvëwgUvi AwgZ Dc‡ii wP‡Îi †jÝwU Zvi †Pv‡Li Îw“ Ui12. cvnvwo iv¯vi euv‡K e¨eüZ `c©Y⎯ M Zwor ex¶Yhš N gvwëwgUvi DÏxcKwU n‡Z 34 I 35 bs c‡Ö kœi DËi `vI: i. e„nr AvK…wZi `c©Y wb‡Pi Z_¨ †_‡K 25 I 26 bs c‡Ö kœi DËi `vI: ii. mgZj `c©Y 34. †jÝwUi ¶gZv KZ? GKwU ev‡j¦i Mv‡q †jLv Av‡Q (220v –60w) K 2D L 3D iii. †Mvjxq `c©Y M 4D N 5D wb‡Pi †KvbwU mwVK? 25. Gi ga¨ w`‡q KZ Zwor cÖevwnZ n‡e? K 0.27A L 0.72A M 60A N 2.7A 35. †jÝwUi Av‡jvK †K›`ª n‡Z 50 cm `‡ i j¶¨ K i I ii L ii I iii 26. KZ wefe cv_‡© K¨ evjw¦ U me‡P‡q †ekx Av‡jv e¯iy we‡¤^i AvK…wZ n‡e⎯ M i I iii N i, ii I iii wewKiY Ki‡e? K j¶¨ e¯iy †P‡q †QvU13. †KvbwUi cwÖ ZmiYv¼ 1.5? K 22v L 220v L j¶¨ e¯yi †P‡q eo K Kvu ‡Pi L nxiK M 110v N 120v M j¶¨ e¯yi †P‡q Lwe©Z M cvwbi N eid 27. Uvª Ýdgv© ‡ii †¶‡Î †`Lv hvq⎯ N j¶¨ e¯yi mgvb i. ns > npDËigvjv 1 L 2 L 3 L 4 N 5 N 6 M 7 M 8 N 9 N 10 L 11 M 12 K 13 K 14 L 15 L 16 L 17 M 18 M 19 L 20 L 21 K 22 L 23 L 24 M 25 K 26 L 27 N 28 N 29 N 30 L 31 M 32 M 33 M 34 M 35 N
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