XvKv Bgwcwiqvj K‡jR
mywcÖq wkÿv_©xe„›`,
†Zvgv‡`i cÖwZ ï‡f”Qv| Avkv Kwi gnvb ¯ªóvi K…cvq †Zvgiv mK‡jB fv‡jv Av‡Qv| eZ©gv‡b Ô†KvwfW 19Õ-Gi msμg‡Y mgMÖ wek^mn Avgiv GK AbvKvw•ÿZ mgq AwZμg KiwQ| e¨vnZ n‡”Q GKv‡WwgK Kvh©μg| B‡Zvc~‡e© †Zvgv‡`i GwcÖj I †g gv‡m evwo‡Z cov I PP©vi Rb¨ 2q e‡l©i wm‡jev‡mi wKQz †bvU I cÖkœvewj ( MCQ I CQ ) cÖ`vb Kiv n‡q‡Q| cvkvcvwk mxwgZ AvKv‡i AbjvB‡b Live Class Kvh©μg Pj‡Q| K‡ivbvKvjxb QzwU `xN© nIqvq AbjvBb K¬v‡mi cvkvcvwk Pjgvb Ryb gv‡m evwo‡Z cov I PP©vi Rb¨ 2q e‡l©i wm‡jev‡mi AviI wKQz †bvU I cÖkœvewj ( MCQ I CQ ) †cÖiY Kiv n‡jv| 2q e‡l©i cÖ`Ë cÖkœ¸‡jvi Dci Assignment †bqv n‡e Ges b¤^i cieeZ©x (2q e‡l©i) wgW Uv‡g©i mv‡_ †hvM Kiv n‡e| AviI D‡jøL¨ †h, D³ welq¸‡jv Avmbœ cÖvK&&-wbe©vPbx cixÿv-2020-Gi AšÍf©y³ _vK‡e| myZivs g~j¨evb mgq Ah_v bó bv K‡i evwo‡Z h_vh_
¸iæZ¡mnKv‡i GB welq¸‡jv cov I PP©v Kivi Rb¨ mevB‡K Aby‡iva KiwQ| †h-†Kv‡bv cÖ‡qvR‡b welqwfwËK wkÿ‡Ki m‡½
†dv‡b †hvMv‡hvM Ki‡e| ¯^-M„‡n Ae¯’vbc~e©K ¯^v¯’¨ wewa †g‡b Pj‡e|
†Zvgv‡`i mK‡ji ïf Kvgbvq
Aa¨ÿ
XvKv Bgwcwiqvj K‡jR
QzwUKvjxb cov (Avmbœ 2q e‡l©i)ÑweÁvb wefvM
welq : c`v_©weÁvb 2q cÎ
Z…Zxq Aa¨vq (Pj Zwor)
( K) Ávbg~jK cÖkœ I DËi
1) cÖkœ : †iv‡ai DòZv mnM Kv‡K e‡j ?
DËi :
00CZvcgvÎvi GKK †iv‡ai †Kv‡bv cwienxi ZvcgvÎv cÖwZ GKK e„wׇZ Zvi †iv‡ai †h e„w× N‡U Zv‡K H cwievnxi Dcv`‡bi †iv‡ai DòZv mnM e‡j|
2) cÖkœ : AwZcwievnxZv Kv‡K e‡j ?
DËi : AwZ wb¤œ ZvcgvÎvq wKQz wKQz c`v‡_©i †iva k~‡b¨ †b‡g Av‡m| G mKj c`v_©‡K AwZcwievnx e‡j| c`v‡_©i G ag©‡K AwZcwievnxZv e‡j|
3) cÖkœ : Zwo”PvjK kw³ Kv‡K e‡j ?
DËi : cªwZ GKK Avavb‡K †Kvl m‡gZ †Kv‡bv e× eZ©bxi GK we›`y †_‡K m¤ú~Y© eZ©bx Nywi‡q Avevi H we›`y‡Z Avb‡Z †h cwigvb KvR m¤úbœ nq Zv‡K H †Kv‡li Zwo”PvjK kw³ e‡j|
4) cÖkœ : Av‡cwÿK †iva Kv‡K e‡j ?
DËi : †Kv‡bv wbw`©ó ZvcgvÎvq GKK ˆ`‡N©¨i I GKK cÖ¯’‡”Q‡`i †ÿÎd‡ji †Kv‡bv cwievnxi †iva‡K H ZvgvÎvq H cwievnxi Dcv`v‡bi Av‡cwÿK †iva e‡j|
5) cÖkœ : wKk©‡di 2q m~ÎwU wee„Z Ki|
DËi : †Kv‡bv e× Zwor eZ©bxi wewfbœ Ask¸‡jvi †iva Ges Zv‡`i Avbylw½K cÖev‡ni ¸Yd‡ji exRMvwYwZK mgwó H eZ©bxi AšÍf©~³ †gvU Zwo”PvjK kw³i mgvb|
6) cÖkœ : kv›U Kv‡K e‡j ?
DËi : AwaK cwigvY cÖevn wM‡q hv‡Z M¨vjfv‡bvwgUvi‡K bó Ki‡Z bv cv‡i Zvi Rb¨ M¨vjfv‡bvwgUv‡ii mv‡_ mgvšÍivj ms‡hv‡M †h Aígv‡bi
†iva mshy³ Kiv nq Zv‡K kv›U e‡j|
7) cÖkœ : kv‡›Ui ¸YK Kv‡K e‡j ?
DËi : M¨vjfv‡bvwgUv‡ii mv‡_ kv›U hy³ _vK‡j M¨vjfv‡bvwgUv‡ii cÖevn‡K †h ivwk w`‡q ¸Y Ki‡j g~j cÖevngvÎv cvIqv hvq Zv‡K kv‡›Ui ¸YK e‡j|
8) cÖkœ : wgUvi weªR Kx ?
DËi : †h h‡š¿ GK wgUvi j¤^v mylg cÖ¯’‡”Q‡`i GKwU Zvi‡K Kv‡R jvwM‡q ûBU‡÷vb weª‡Ri bxwZ e¨envi K‡i †Kv‡bv ARvbv †eva wbY©q Kiv
nq Zv‡K wgUvi weªR e‡j|
9) cÖkœ : wbivcËv wdDR Kv‡K e‡j ?
DËi : AwZwi³ we`y¨r cÖev‡ni d‡j `~N©Ubv Gov‡bvi Rb¨ evwo‡Z ˆe`y¨wZK jvB‡b wUb I mxmvi wgkÖ‡b ˆZwi †h miy Zvi e¨envi Kiv nq, Zv‡K wbivcËv wdDR e‡j|
10) cÖkœ : Zwor †Kvl Kv‡K e‡j ?
DËi : †h h‡š¿i mvnv‡h¨ ivmvqwbK kw³ †_‡K wbiew”Qbœfv‡e Zwor cÖevn cvIqv hvq Zv‡K Zwor †Kvl e‡j|
11) cÖkœ : wK‡jvIqvU-N›Uv Kx ?
DËi : GK wK‡jvIqvU ÿgZvi †Kv‡bv hš¿ GK N›Uv KvR Ki‡j †h kw³ e¨q nq, Zv‡K GK wK‡jvIqvU-N›Uv e‡j|
12) cÖkœ : †Kv‡li nviv‡bv †fvë Kv‡K e‡j ?
DËi : †Kv‡li †fZi w`‡q Zwor cÖevn Pvjbv Ki‡Z †Kv‡li Zwo”PvjK kw³i GKwU Ask e¨wqZ nq, Zv‡K †Kv‡li nviv‡bv †fvë e‡j|
13) cÖkœ : Zvob †eM Kv‡K e‡j ?
DËi : †Kv‡bv †Kv‡li `yB cÖvšÍ GKwU cwievnx Zvi w`‡q hy³ Ki‡j cwievnxi gy³ B‡jKUªb¸‡jv Zwor cÖevn m„wó K‡i| Zwor cÖev‡ni mgq B‡jKUªb¸‡jv †h Mo †e‡M cÖevwnZ nq Zv‡K Zvob †eM e‡j|
(L) Abyavebg~jK cÖkœ I DËi
1) cÖkœ : ZvcgvÎv evov‡j cwievnxi †iva ev‡o †Kb ? e¨vL¨v Ki|
DËi : cwievn‡Ki g‡a¨ gy³ B‡jKUª‡bi cÖev‡ni d‡j ZworcÖevn m„wó nq| gy³ B‡jKUªb cÖev‡ni mgq cwievn‡Ki AYy-cigvYyi mv‡_ msN‡l©
wjß nq, hvi Kvi‡Y cwievn‡K †iv‡ai D™¢e nq| ZvcgvÎv evo‡j AwZwi³ kw³ cvIqvq cwievn‡Ki AYy-cigvYy¸‡jvi K¤úb †e‡o hvq, d‡j gy³ B‡jKUªb¸‡jvi mv‡_ G‡`i msNl© e„w× cvq Ges ZworcÖevn Pjvi c‡_ †ewk evavi m„wó nq| GKvi‡Y ZvcgvÎv e„w× †c‡j cwievn‡Ki †iva e„w× cvq|
2) cÖkœ : Zwor cÖev‡ni d‡j eZ©bx‡Z Zvc Drcbœ nq †Kb ?
DËi : Zwor cÖev‡ni d‡j Zwor eZ©bx‡Z †h Zv‡ci D™¢e nq Zvi KviY B‡jKUªb gZev‡`i mvnv‡h¨ e¨vL¨v Kiv hvq| Zwor cwievn‡K †ek wKQz msL¨K gy³ B‡jKUªb _v‡K| cwievn‡Ki `yB we›`yi g‡a¨ wefe cv_©K¨ m„wó n‡j gy³ B‡jKUªb¸‡jv AYy-cigvYyi AvšÍtAvYweK ¯’v‡bi ga¨w`‡q cwievn‡Ki wb¤œ wefe wewkó cÖvšÍ †_‡K D”P wefe wewkó cÖv‡šÍi w`‡K Pj‡Z _v‡K, d‡j Zwor cÖev‡ni m„wó nq| GB B‡jKUªb¸‡jv Pjvi mgq cwievn‡Ki cigYyi mv‡_ msN‡l© wjß nq Ges B‡jKUª‡bi MwZkw³ cigvYy‡Z mÂvwjZ nq, G‡Z cigvYyi MwZk³ Av‡iv e„w× cvq| GB ewa©Z MwZkw³ Zv‡c i~cvšÍwiZ nq Ges cwievn‡Ki ZvgvÎv e„w× cvq| G Kvi‡Y Zwor cÖev‡ni d‡j eZ©bx‡Z Zv‡ci D™¢e nq|
3) cÖkœ : A¨vjywgwbqv‡gi †iv‡ai DòZv mnM
3.9103/0Cej‡Z Kx †evSvq ?
DËi :
00CZvcgvÎvi GKK †iv‡ai †Kv‡bv cwienxi ZvcgvÎv cÖwZ GKK e„wׇZ Zvi †iv‡ai †h e„w× N‡U Zv‡K H cwievnxi Dcv`‡bi †iv‡ai DòZv mnM e‡j|
A¨vjywgwbqv‡gi †iv‡ai DòZv mnM
3.9103/0Cej‡Z †evSvq,
00CZvcgvÎvi
1†ivawewkó A¨vjywgwbqvg Zv‡ii ZvcgvÎv
1Kevov‡j Gi †iva
3.9103e„w× cvq|
4) cÖkœ : †Kv‡bv †Kv‡li Zwo”PvjK kw³
1.5Vej‡Z Kx eyS ?
DËi : cªwZ GKK Avavb‡K †Kvl m‡gZ †Kv‡bv e× eZ©bxi GK we›`y †_‡K m¤ú~Y© eZ©bx Nywi‡q Avevi H we›`y‡Z Avb‡Z †h cwigvb KvR m¤úbœ nq Zv‡K H †Kv‡li Zwo”PvjK kw³ e‡j|
†Kv‡bv †Kv‡li Zwo”PvjK kw³
1.5Vej‡Z †evSvq
1CAvavb‡K H †Kvl m‡gZ †Kvb eZ©bxi GKwe›`y n‡Z GKevi m¤ú~Y© eZ©bx Nywi‡q cybivq H we›`y‡Z Avb‡Z
1.5JKvR nq|
5) cÖkœ : †Kv‡bv Zwor e¨vUvwii Mv‡q
5Amhour†jLvi A_© e¨vL¨v Ki|
DËi : †Kv‡bv Zwor e¨vUvwii Mv‡q
5Amhour†jLvi A_© -e¨vUvwiwU‡K
5Agv‡bi Zwor cÖevn ( PvR©vi ) Øviv PvwR©Z Kiv n‡j, GwU k~b¨
PvR© n‡Z c~b© ÿgZvi PvwR©Z n‡Z GK N›Uv mgq wb‡e|
hour Cs
hour
Am 5 1
5 1
5Cs13600s
18000C
A_©vr, e¨vUvwiwU
18000CPvR© mwÂZ ivL‡Z mÿg|
6) cÖkœ :
00CZvcgvÎvq Zvgvi Av‡cwÿK †iva
1.56108mej‡Z Kx †evSvq ?
DËi : †Kv‡bv wbw`©ó ZvcgvÎvq GKK ˆ`‡N©¨i I GKK cÖ¯’‡”Q‡`i †ÿÎd‡ji †Kv‡bv cwievnxi †iva‡K H ZvgvÎvq H cwievnxi Dcv`v‡bi Av‡cwÿK †iva e‡j|
0C
0
ZvcgvÎvq Zvgvi Av‡cwÿK †iva
1.56108mej‡Z †evSvq,
1mˆ`N©¨ I
1m2cÖ¯’‡”Q‡`i †ÿÎdj wewkó Zvgvi Zv‡ii †iva
n‡e
1.56108|
7) cÖkœ : †Kv‡bv cwievnxi cwievwnZv
0.2wm‡gÝ ej‡Z Kx †evSvq ?
DËi : †h cwievnxi `yB cÖv‡šÍi wefe cv_©K¨
1Vn‡j Zvi ga¨ w`‡q hw`
1AZwor cÖevn P‡j Zvn‡j †mB cwievnxi cwievwnZv‡K
1wm‡gÝ e‡j|
†Kv‡bv cwievnxi cwievwnZv
0.2wm‡gÝ ej‡Z †evSvq †h, H cwievnxi `yB cÖv‡šÍi wefe cv_©K¨
1Vn‡j Zvi ga¨ w`‡q
0.2AZwor cÖevn P‡j|
8) cÖkœ : †Kv‡bv eZ©bx‡Z †Kv‡li Af¨šÍixY †iv‡ai f~wgKv Kx, e¨vL¨v Ki|
DËi : cÖ‡Z¨K Zwor Dr‡mi Af¨šÍ‡i wKQz †iva _v‡K hv me©`v Zwor cÖevn‡K evav †`q| G‡K Dr‡mi Af¨šÍixY †iva e‡j| G †iv‡ai Kvi‡Y eZ©bxi ewnt¯’ †iv‡a cÖvß wefe cv_©K¨ Dr‡mi Zwo”PvjK kw³ A‡cÿv Kg nq| G Kvi‡YB ewnt¯’ eZ©bx‡Z cÖvß kw³, Drm KZ…©K e¨wqZ kw³i mgvb nq bv|
9) cÖkœ : †Kv‡bv eZ©bx‡Z Zwo”PvjK kw³ I wefe cv_©K¨ GK bq †Kb ? e¨vL¨v Ki|
DËi : eZ©bxi †Kv‡bv GK we›`y n‡Z
1Kzj¤^ PvR©‡K †Kvl m‡gZ m¤ú~Y© eZ©bx Nywi‡q Avevi H we›`y‡Z Avb‡Z †h cwigvY KvR m¤úbœ nq Zv‡K
†Kv‡li Zwo”PvjK kw³ e‡j| Aciw`‡K, Zwor †ÿÎ ev Zwor eZ©bxi GK we›`y n‡Z Aci GK we›`y‡Z
1Kzj¤^ PvR© ¯’vbvšÍi Ki‡Z †h cwigvY KvR m¤úbœ nq Zv‡K H `yB we›`yi g‡a¨ wefe cv_©K¨ e‡j| eZ©bx‡Z Zwo”PvjK kw³, wefe cv_©K¨ A‡cÿv †ewk nq| KviY, †Kv‡li Af¨šÍixY
†iv‡ai `iyb me©`v †Kv‡li Af¨šÍ‡i wKQz wefe cZb N‡U| A_©vr, eZ©bxi Zwo”PvjK kw³ = eZ©bxi wefe cv_©K¨ + Af¨šÍixY wefe cZb| d‡j,
†Kv‡bv eZ©bxi Zwo”PvjK kw³ I wefe cv_©K¨ GK nq bv|
10) cÖkœ : wKk©‡di 1g m~Î Pv‡R©i msiÿY bxwZ †g‡b P‡j e¨vL¨v Ki|
DËi : wKk©‡di m~Î Abymv‡i, †Kv‡bv eZ©bxi †h‡Kv‡bv we›`y w`‡q †Kv‡bv wbw`©ó mg‡q AvMZ I wbM©Z †gvU cÖev‡ni †hvMdj k~b¨| †h‡nZz GKB mg‡q cÖev‡ni wnmve Kiv nq, ZvB H we›`y‡Z AvMZ I cÖ¯’vbK…Z †gvU Pv‡R©i †hvMdjI k~b¨ n‡e| A_©vr H we›`y‡Z †h cwigvY PvR© cÖ‡ek K‡i, wVK †mB cwigvY PvR© cÖ¯’vb K‡i| AZGe, eZ©bx‡Z †Kv‡bv AwZwi³ PvR© m„wó ev †Kv‡bv Pv‡R©i we‡jvc N‡U bv| ZvB ejv hvq †h, wKk©‡di cÖ_g m~Î Pv‡R©i msiÿYkxjZv bxwZ †g‡b P‡j|
11) cÖkœ : kv›U Kxfv‡e M¨vjfv‡bwgUvi‡K iÿv K‡i ?
DËi : AwaK cwigvY cÖevn wM‡q hv‡Z M¨vjfv‡bvwgUvi‡K bó Ki‡Z bv cv‡i, †m D‡Ï‡k¨ M¨vjfv‡bvwgUv‡ii mv‡_ mgvšÍivj mgev‡q GKwU Aí gv‡bi †iva mv›U wn‡m‡e mshy³ Kiv nq| Gi d‡j g~j cÖevn `yÔfv‡M wef³ n‡q hvq| mv‡›Ui †iva Kg nIqvq †ewk cwigvY cÖevn Gi †fZi w`‡q cÖevwnZ nq Ges Aí cwigvY cÖevn M¨vjfv‡bvwgUv‡ii ga¨w`‡q cÖevwnZ nq| G‡Z M¨vjfv‡bvwgUvi bó nIqv †_‡K iÿv cvq|
12) cÖkœ : miy avZe Zvi‡K kv›U wn‡m‡e e¨envi Kiv nq bv †Kb ? e¨vL¨v Ki|
DËi : A¨vgwgUv‡ii mv‡_ mgvšÍiv‡j Lye ¯^ígv‡bi GKwU †iva jvwM‡q A¨vgwgUv‡ii cvjøv e„w× Kiv nq| G‡K mv›U e‡j| †iv‡ai
R A1m~Îvbymv‡i, miy avZe Zv‡ii †iva A‡cÿvK…Z †ewk nIqvq G‡K mv›U wn‡m‡e e¨envi Kiv hvq bv| KviY Gi d‡j A¨vgwgUv‡ii wfZi w`‡q †ewk gvÎvi Zwor cÖevwnZ n‡q A¨vgwgUvi‡K cywo‡q †dj‡Z cv‡i| Ab¨ K_vq, miy avZe Zvi mv›U wn‡m‡e e¨envi K‡i A¨gwgUv‡ii cvjø †ewk e„w×
Kiv m¤¢e bq|
12) cÖkœ : Zwor eZ©bx‡Z A¨vgwgUvi †Kb †kÖwY‡Z mshy³ Kiv nq ?
DËi : eZ©bxi ZvorcÖevn cwigvc Kivi Rb¨ A¨vgwgUvi‡K eZ©bx‡Z †kÖwY mgev‡q hy³ Kiv nq| †kÖwY mgev‡q eZ©bx‡Z hy³ mKj h‡š¿i ga¨w`‡q GKB gv‡bi Zwor cÖevwnZ nq| G Kvi‡Y eZ©bxi ZworcÖevn mwVKfv‡e cwigv‡ci Rb¨ eZ©bx‡Z A¨vgwgUvi‡K †kÖwY mgev‡q hy³ Ki‡Z nq|
A¨vgwgUv‡ii †iva D‡cÿYxq nIqvq G mgq cwigvc¨ Zwor cÖev‡ni cwieZ©b N‡U bv|
13) cÖkœ : A¨vgwgUvi GK cÖKvi M¨vjfv‡bvwgUvi e¨vL¨v `vI|
DËi : M¨vjfv‡bvwgUvi LyeB my‡e`x nIqvq Aí Zwor cÖev‡nB GwU cy‡o hvq| ZvB G‡K A¨vgwgUvi wn‡m‡e e¨envi Ki‡Z PvB‡j Gi mv‡_
mgvšÍiv‡j GKwU ¯^í gv‡bi †iva Z_v mv›U e¨envi Kiv nq| †h‡nZz mv‡›Ui †iva LyeB Kg ZvB eZ©bxi Zzj¨ †iv‡ai †Kv‡bv cwieZ©b nq bv Ges g~j ZworcÖevn `yBfvM n‡q hvIqvq M¨vjfv‡bvwgUviI cy‡o hv&Iqvi nvZ †_‡K iÿv cvq| cieZ©x‡Z
IgS S
I G
m~Î e¨envi K‡i ZworcÖevn wbY©q Kiv hvq| GLv‡b,
GI
Sh_vμ‡g M¨vjfv‡bvwgUvi I mv‡›Ui †iva Ges
Ig M¨vjfv‡bvwgUv‡ii ZworcÖevn| ZvB ejv hvq, A¨vgwgUvi GK cÖKvi M¨vjfv‡bvwgUvi|
14) cÖkœ : evmv evwo‡Z we`y¨r ms‡hv‡Mi †ÿ‡Î mgvšÍivj mgevq e¨eü nq e¨vL¨v Ki|
DËi : evmvevwo‡Z mvaviYZ Avgiv evwZ ev cvLv c„_K c„_Kfv‡e PvjvB| G¸‡jv‡K †kÖwY mgev‡q jvMv‡bv n‡j †h‡Kvb GKwU eÜ Ki‡Z PvB‡j
me¸‡jv eÜ n‡q †hZ Avevi †h‡Kvb GKwU‡K Pvjv‡Z PvB‡j me¸‡jv‡K Pvjv‡Z n‡Zv hv evmvevwoi Rb¨ LyeB AmyweavRbK| ZvQvov mgvšÍivj
mgev‡q me¸‡jv †iv‡ai wefe cv_©K¨ mgvb _v‡K| ZvB evmvevwo‡Z †iv‡ai mgvšÍivj mgevq e¨envi Kiv nq †hb c„_K c„_Kfv‡e me¸‡jv‡K
Pvjv‡bv hvq|
15) cÖkœ : wbivcËv wdD‡R weï× avZz e¨envi Kiv nq bv †Kb e¨vL¨v Ki|
DËi : mxmv I wU‡bi ( mxmv 75% Ges wUb 25% ) mswgkÖ‡Y ‰Zwi GKwU miy Zvi‡K wbivcËv wdDR wn‡m‡e e¨envi Kiv nq| G Zv‡ii Mjbv¼ Kg ( cÖvq
3000C)| Zv‡ii ga¨ w`‡q AwZwi³ Zwor cÖevwnZ n‡j ZviwU Mig n‡q D‡V Ges Zv M‡j wM‡q we`y¨r mieivn eÜ K‡i †`q| g~jZ Mjbv¼ Kgvevi Rb¨ wbivcËv wdD‡R weï× avZz e¨envi Kiv nq bv|
16) cÖkœ : ZvcgvÎvi cwieZ©‡b cwievnx I Aa©cwievnx GKBi~c AvPiY K‡i wKbv e¨vL¨v Ki|
DËi : ZvcgvÎvi cwieZ©‡b cwievnx I Aa©cwievnx GKBi~c AvPiY K‡i bv| ZvcgvÎv evov‡j cwievnxi †iva ev‡o wKš‘ Aa©cwievnxi †iva K‡g|
KviY ¯^vfvweK ZvcgvÎvq cwievnx‡Z AwaK msL¨K gy³ B‡jKUªb _v‡K, ZvcgÎv evov‡j Zv‡`i ga¨Kvi msNl© e„w× cvq, d‡j †iva e„w× cvq|
Aciw`‡K ¯^vfvweK ZvcgvÎvq Aa©cwievnx‡Z KgmsL¨K gy³ B‡jKUªb _v‡K| ZvcgvÎv evov‡j gy³ B‡jKUªb msL¨v evo‡Z _v‡K| d‡j cwievnxZv e„w× cvq Ges †iva n«vm cvq|
17) cÖkœ : ûBU‡÷vb eªx‡Ri fvimvg¨ Ae¯’v e¨vL¨v Ki|
DËi : wgUvi eªxR ev ûBU‡÷vb eªx‡Ri mvg¨ve¯’v ev wb¯ú›` we›`y ej‡Z eySvq, M¨vjfv‡bvwgUv‡ii ga¨w`‡q †Kv‡bv Zwor cÖevwnZ n‡”Q bv| d‡j eªx‡Ri GK‡Rvov (
P,Q) ev (
R,S) †iv‡a GKB Zwor cÖevn AwZμg K‡i| GgZve¯’vq
S R Q
P
cÖ‡hvR¨ nq|
18) cÖkœ : †Kv‡bv eZ©bx‡Z nviv‡bv wef‡ei gvb Kxfv‡e n«vm Kiv hvq ? e¨vL¨v Ki|
DËi : †Kv‡li Af¨šÍixb †iv‡ai ga¨ w`‡q Zwor cÖevn Pvjbv Ki‡Z †Kv‡li Zwo”PvjK kw³i †h Ask e¨q nq Zv‡K nviv‡bv wefe e‡j| †Kv‡bv eZ©bxi †Kv‡li mv‡_ GKB gv‡bi †Kvl mgvšÍiv‡j hy³ Ki‡j †Kvl؇qi Af¨šÍixY †iv‡ai Zzj¨‡iva n«vm cvq, d‡j nviv‡bv wefe n«vm cvq|
Gfv‡eB eZ©bx‡Z nviv‡bv wef‡ei gvb n«vm Kiv hvq|
(M) AsK
1|
300CZvcgvÎvi Uvs‡÷b Zv‡ii †iva
40|
800CZvcgvÎvq Gi †iva KZ? Uvs‡÷‡bi †iv‡ai DòZv mnM,
5103/0C|
)1
0(
R
R
DËi:
48.692|
25WGi mvZwU ˆe`y¨wZK evwZ I
60WGi PviwU ˆe`y¨wZK cvLv cÖwZw`b
10N›Uv e¨eüZ n‡j Ryb gv‡m ˆe`y¨wZK we‡ji wnmve †ei Ki|
cÖwZ BDwb‡Ui g~j¨
5.50UvKv|
1000
W nPt
DËi:
684.75UvKv
3| GKwU ˆe`y¨wZK wnUvi
220Vmieivn jvBb †_‡K
0.2AcÖevn MÖnY K‡i| wnUviwU
600N›Uv e¨envi Kv‡j e¨wqZ kw³ KZ ?
1000W Vit
DËi:
26.4kWh4|
40†iv‡ai †fZi w`‡q
5AcÖevn
10 minPvjbv Ki‡j
300CZvcgvÎvi KZUzKz cvwbi ZvcgvÎv
1000C-G †cŠQv‡e|
Rt i
W 2
Ges
H mSDËi:
2.0408kg5|
270CZvcgvÎv
1KWÿgZvi GKwU B‡jKwUªK †KZwj‡Z
2wjUvi cvwb Av‡Q| †KZwjwU‡K
10wgwb‡Ui Rb¨ myBP Ab Kiv n‡jv| hw`
Pvwicv‡ki Zvc n«v‡mi nvi
160J/snq, Z‡e
10wgwb‡U †KZwji cvwbi ZvcgvÎv KZ n‡e|
Pt
W
,
H1mS(21),
H2 1601060kZ© Abymv‡i
W H1H2DËi:
870C6| GKwU †Kv‡li Zwo”PvjK kw³
6V| hLb †KvlwU
0.5AZwor cÖevn MÖnY K‡i ZLb Gi cÖvšÍ؇qi wefe cv_©K¨
5.5V†b‡g Av‡m| †Kv‡li Af¨šÍixY †iva KZ ?
iR V
;
r R i E
DËi:
17| GKwU evwoi †gBb wgUv‡i
15A220VwPwýZ Kiv Av‡Q| KZwU
100Iqv‡Ui evwZ H evwo‡Z wbivc‡` e¨envi Kiv hv‡e ?
VIP
Ges
P1n P
DËi:
33wU
8|
10,20I
30gv‡bi wZbwU †iva‡K †kÖwY mgev‡q hy³ K‡i
12VZwo”PvjK kw³ Ges
1.5Af¨šÍixY †iv‡ai GKwU †Kv‡li mv‡_
hy³ K‡i eZ©bx c~Y© Kiv n‡jv| cÖ‡Z¨KwU †iva‡Ki cÖvšÍxq wefe cv_©K¨ wbY©q Ki|
3 2
1 R R
R
Rs
;
r R i E
Ges
V iRDËi:
1.95V,3.90V,5.85V9|
100,200I
300gv‡bi wZbwU †iva‡K mgvšÍivj mgev‡q hy³ K‡i
12VZwo”PvjK kw³ Ges
1.5Af¨šÍixY †iv‡ai GKwU
†Kv‡li mv‡_ hy³ K‡i eZ©bx c~Y© Kiv n‡jv| cÖ‡Z¨KwU †iv‡ai †fZi w`‡q cÖevwnZ cÖev‡ni gvb wbY©q Ki|
3 2 1
1 1 1 1
R R R
Rp
;
r R i E
p
;
V iRpGes ,
1
1 R
i V
3 3 2
2
,
R i V R i V
DËi:
0.117A,0.058A,0.039A10|
9†iv‡ai GKwU Zvgvi Zvi‡K AvqZb AcwiewZ©Z †i‡L wZb¸Y j¤^v Kiv n‡jv| GB Ae¯’vq ZviwUi †iva KZ ?
1 1
1 A
R
L,
2 2
2 A
R
LGes
A1L1 A2L2DËi:
8111| †kÖwY mgev‡q mw¾Z `ywU cwievnxi †iva
40hv mgvšÍivj mgev‡q
7.5nq| cÖwZwU cwievnxi †iva wbY©q Ki|
2
1 R
R
Rs
Ges
2 1
1 1 1
R R
Rp
DËi:
30,1012|
5mj¤^v Ges
1.2mme¨vmwewkó A¨vjywgwbqv‡gi Zv‡ii wfZi w`‡q
2.75Awe`y¨r cÖevwnZ n‡”Q| GB Zv‡i cÖwZ †m‡K‡Û Kx cwibvY kw³ e¨q n‡”Q ? (A¨vjywgwbqv‡gi Av‡cwÿK †iva
2.80108m) |
r2
R L
,
Pi2RDËi:
0.93614J13| †Kv‡bv †Kv‡li Zwo”PvjK kw³
1.5VGes Af¨šÍixY †iva
0.2| Giƒc
6wU †Kv‡li †kÖwY ms‡hv‡M MwVZ GKwU e¨vUvwii evB‡ii †Kv‡bv
†iva‡Ki ga¨ w`‡q
0.5AcÖevn Pvjv‡Z cv‡i| evB‡ii †iva‡Ki †iva Ges †iva‡Ki cÖvšÍ؇qi wefe cv_©K¨ wbY©q Ki|
nr R i nE
Ges
V iRDËi:
16.8,8.4V14| †Kv‡bv †Kv‡li Zwo”PvjK kw³
1.5VGes Af¨šÍixY †iva
5| Giƒc
8wU †Kvl‡K mgvšÍiv‡j mvwR‡q
2†iv‡ai mv‡_ hy³ Kiv n‡jv| eZ©bxi cÖevn wbY©q Ki|
r mR i mE
DËi:
0.571A15| GKwU ûBU‡÷vb weª‡Ri Pvi evû‡Z h_vμ‡g
10,20,30Ges
40†iva hy³ Av‡Q| cÖ_g evû‡Z KZ †iva Kxfv‡e hy³ Ki‡j weªRwU mvg¨ve¯’vq _vK‡e|
S R Q
P
,
PP1P2DËi:
5†iva †kÖwY‡Z
16| GKwU ûBU‡÷vb weª‡Ri Pvi evû‡Z h_vμ‡g
10,20,30Ges
40†iva hy³ Av‡Q| Z…Zxq evû‡Z KZ †iva Kxfv‡e hy³ Ki‡j weªRwU mvg¨ve¯’vq _vK‡e|
S R Q
P
,
1 2
2 1
1 1 1 1 1 1
R R R R R
R
DËi:
60†iva mgvšÍiv‡j
17| GKwU wgUvi weª‡Ri evg duv‡K
15Gi GKwU Av`k© †iva Ges Wvb duv‡K GKwU ARvbv †iva hy³ Ki‡j Zv‡ii evg cÖvšÍ †_‡K
60cm`~‡i wb¯ú›` we›`y cvIqv hvq| ARvbv †iv‡ai ‰`N©¨
120cmGes e¨vm
0.2mmn‡j ARvbv †iv‡ai Av‡cwÿK †iva wbY©q Ki|
l l Q
p
100 Ges
L r Q r
Q L
2 2
DËi:
2.618107m18|
20†iv‡ai GKwU M¨vjfv‡bvwgUv‡ii ga¨ w`‡q
2AZwor cÖevn Pj‡Q| GKwU kv›U e¨env‡ii d‡j GB cÖevn K‡g
0.1Anq| kv‡›Ui
†iva KZ ?
S S G ig i
DËi:
1.052619| GKwU M¨vjfv‡bvwgUv‡ii †iva
100| Gi mv‡_ KZ kv›U hy³ Ki‡j g~j Zwor cÖev‡ni
98%kv‡›Ui ga¨ w`‡q cÖevwnZ n‡e?
G
S G is i
DËi:
2.04120| GKwU A¨vgwgUv‡ii Af¨šÍixY †iva
9Ges GwU m‡e©v”P
0.5Ach©šÍ cÖevn gvc‡Z cv‡i| Gi mvnv‡h¨
5Ach©šÍ cÖevn gvc‡Z Kx e¨e¯’v wb‡Z n‡e ?
; 1
1
2
n
S r i
n i
DËi: A¨vgwgUv‡ii mv‡_ mgvšÍiv‡j
1†iva hy³ Ki‡Z n‡e|
(N) m„Rbkxj cÖkœ I DËi
1| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z R
1= 20 , R
2= 30 , R
3= 40 , †Kv‡li Zwo”PvjK kw³ E =12V Ges Af¨šÍixY †iva r =2 | M) eZ©bx‡Z Zzj¨ †iva wbY©q K‡iv|
N) Zwor cÖev‡n d‡j Drcbœ Zv‡ci †ÿ‡Î †Kvb †ivawU‡Z †ekx Zvc Drcbœ n‡e - MvwYwZK we‡kølY mnKv‡i gZvgZ `vI|
DËi : M)
Rs R1R2 50
1 1 22 . 22 1
3 p s
p
R R R R
N) g~j cÖevngvÎv,
Ar R i E
p
495 .
0
A I C we›`y‡Z wefe cv_©K¨,
V iRp 11
VR
1I R
2Gi ga¨ w`‡q cÖevngvÎv,
A Ri V i
s
22 .
2
0
1
R
3Gi ga¨ w`‡q cÖevngvÎv,
A Ri V
0 . 275
3
3
R
1G Zvc Drc‡bœi nvi,
H1i12R10 . 968
Js1R
2G Zvc Drc‡bœi nvi,
H2 i22R2 1 . 452
Js1R
3G Zvc Drc‡bœi nvi,
H3i32R33 . 025
Js1†h‡nZz R
3†Z Zvc Drc‡bœi nvi †ekx; ZvB R
3†Z †ekx Zvc Drcbœ n‡e|
2| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z P = 120 , Q = 150 , R = 80 Ges †Kv‡li Zwo”PvjK kw³ E = 12 V
M) eZ©bxi A we›`y‡Z cÖevngvÎv wbY©q K‡iv|
N) †Kvb †ivaKwU AcmviY Ki‡j eZ©bxi †gvU cÖevn m‡e©v”P n‡e - MvwYwZK we‡kølY mnKv‡i gZvgZ `vI|
DËi : M) 1
1
1
66 . 67
p p
Q R P R
R R
146 . 67
Rs pR A i E
s
08182 .
0
eZ©bxi A we›`y‡Z cÖevngvÎv 0.08182 A
N) P AcmviY Ki‡j eZ©bxi †iva, R
s1= Q+R = 230
cÖevngvÎv,
AR i E
s
0522 . 0
1
1
Q AcmviY Ki‡j eZ©bxi †iva, R
s2= P+R = 200
cÖevngvÎv,
AR i E
s
06 . 0
2
2
R AcmviY Ki‡j eZ©bxi †iva, R
p= 66.67
cÖevngvÎv,
AR i E
p
18 .
3
0
GLv‡b i
3i2i1AZGe, eZ©bx †_‡K R †iva AcmviY Ki‡j eZ©bxi †gvU cÖevngvÎv m‡eŸ©v”P n‡e|
3| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z R
1= 20 , R
2= 30 , R
3= 40 , †Kv‡li Zwo”PvjK kw³ E = 12VGes Af¨šÍixY †iva r = 2 | eZ©bx‡Z †gvU cÖevngvÎv I ; eZ©bxi A I C we›`y‡Z 10 †iva hy³ Ki‡j eZ©bx‡Z †gvU cÖevngvÎv nq I
1Ges H †ivawU‡K wew”Qbœ K‡i C I D we›`y‡Z hy³ Ki‡j eZ©bx‡Z †gvU cÖevngvÎv nq I
2|
M) eZ©bxi R
2†iv‡ai `yB cÖv‡šÍi wefe c_©K¨ wbY©q Ki|
N) eZ©bx‡Z I, I
1, I
2Gi g‡a¨ †KvbwU eo; †KvbwU †QvU MvwYwZK e¨vL¨v mn ‡Zvgvi gZvgZ `vI|
DËi : M)
Rs R1R2 R3 90 r AR I E
s
1304 .
0
V IR
V2 2 3.913
N) cÖ_g †ÿ‡Î g~j cÖevngvÎv, I = 0.1304 A (M bs †_‡K ) w`¦Zxq †ÿ‡Î, AI C we›`y‡Z 10 †iva hy³ Ki‡j
1 2 50
1 R R
Rs
8 . 333
10 1 1 1
1
p s
p
R R R
3
48 . 333
2 R R
Rs p
r A R I E
s
2384 . 0
2
1
Z…Zxq †ÿ‡Î, C I D we›`y‡Z 10 †iva hy³ Ki‡j
8
10 1 1 1
3
p p
R R R
1 2 p
58
s R R R
R
r A R I E
s
2 .
2
0
GLv‡b I
1I2I4| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z R
1= 2 K, R
2= 3 K, R
3= 6 K, R
4= 8K, R
5=4 K Ges †Kv‡li Zwo”PvjK kw³ E = 220V | M) eZ©bxi AI B we›`yi g‡a¨ wefe cv_©K¨ wbY©q Ki|
N) eZ©bxi AI B we›`yi g‡a¨ GKwU †ivanxb Zvi jvMv‡j †gvU cÖevngvÎv c~‡e©i cÖevngvÎvi KZ ¸Y n‡e MvwYwZK e¨vL¨vmn gZvgZ `vI|
DËi : M)
R KR R
R
1
p1 1
p3 . 4286
4 3
R R R R K
Rs 1 2 p 5
12 . 4286
R Ai E
s
0177 . 6 0 . 12428
220
AI B we›`yi g‡a¨ wefe cv_©K¨
V i(R1R2)88.51VN) cÖ_g †ÿ‡Î g~j cÖevngvÎv i = 0.0177 A (M bs †_‡K ) w`¦Zxq †ÿ‡Î, AI B †Z †ivanxb Zvi jvMv‡j
†gvU †iva,
RRpR5 7 . 4286
KZLb g~j cÖevngvÎv,
AR
i1 E 0.0296
AZGe,
1.67230177 . 0
0296 .
1 0
i i
i i11.6723
cÖevngvÎv 1.6723 ¸Y n‡e|
5| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z R
1= 15 , R
2= 10 , R
3= 20 , R
4= 30 Ges †Kv‡li Zwo”PvjK kw³ E = 12 V | M) eZ©bxi R
4†iv‡ai ga¨ w`‡q Zwor cÖevngvÎv wbY©q Ki|
N) eZ©bxi R
1†iv‡ai Drcbœ Zvc Øviv 100 gm f‡ii eid LÛ‡K Mjv‡Z KZ mgq jvM‡e ? MvwYwZK we‡kølYmn gZvgZ `vI|
DËi : M) 1
1
1
12
4 3
p p
R R R R
2 p
22
s R R
R
R
sGi ga¨ w`‡q cÖevngvÎv,
A RV R i E
s s
5455 .
0
R
pGi `yB cÖv‡šÍ wefe cv_©K¨,
V iRp 6 . 546
VAZGe, R
4Gi ga¨w`‡q cÖevngvÎv,
AR
i V
0 . 2182
4
4
N) R
1Gi ga¨w`‡q cÖevngvÎv,
AR V R
i E
0 . 8
1 1
1
R
1G Drcbœ Zvc,
H1 i12R1teid Mjv‡Z cÖ‡qvRbxq Zvc, H
2= mL
fkZ© Abymv‡i,
H1H2mLf
t R
i
12 1 R S i
t mL2 f
3500
1
6| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z R
1= 15 , R
2= 30 , R
3= 10 , R
4= 20 , R
5= 12 Ges †Kv‡li Zwo”PvjK kw³ E = 12V | M) eZ©bxi Pvwe K
1eÜ Ges K
2†Lvjv _vK‡j eZ©bx‡Z Zzj¨ †iva KZ n‡e|
N) eZ©bxi Pvwe K
1eÜ, K
2†Lvjv _vK‡j R
3Gi cÖevngvÎv Ges Pvwe K
1†Lvjv, K
2eÜ _vK‡j R
3Gi cÖevngvÎvi wKi~c cwieZ© n‡e MvwYwZK e¨vL¨vmn gZvgZ `vI|
DËi : M) K
1eÜ Ges K
2†Lvjv _vK‡j
3 4 30
1 R R
Rs
1 1 15
1
1 2
p s
p
R R R R
1 5
42
2 R R R
Rs p
N) K
1eÜ Ges K
2†Lvjv _vK‡j
R Ai E
s
2857 . 0
2
R
pGi `yB cÖv‡šÍ wefe cv_©K¨, V = iR
p= 4.2857 V R
3Gi ga¨ w`‡q cÖevngvÎv,
AR i V
s
14286 . 0
1
3
K
1†Lvjv Ges K
2eÜ _vK‡j, R
2I R
4†iva Kvh©Ki n‡e bv|
AZGe,
Rs R1R3R5 37R
3Gi ga¨ w`‡q cÖevngvÎv,
A Ri E
s
32432 .
/
0
3
GLv‡b,
i3/i3AZGe cÖevngvÎv e„w× cvq,
i3i3/ i30 . 18146
A7| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z ewn‡iva R = 50 , †Kv‡li Zwo”PvjK kw³ E = 12 V Ges Af¨šÍixY †iva r = 1.2 | M) eZ©bxi R Gi `yB cÖv‡šÍi wefe cv_©K¨ wbY©q Ki|
N) eZ©bx‡Z Abyiƒc Av‡iv GKwU †Kvl †kÖwY‡Z hy³ Ki‡j †iva R G Drcbœ Zvc kw³i nvi †Kgb cwieZ©Y n‡e ? MvwYwZKfv‡e we‡kølY Ki|
DËi : M)
Ar R
i E 0.2344
R Gi `yB cÖv‡šÍ wefe cv_©K¨,
V iR11.72VN) cÖ_g †ÿ‡Î cÖevngvÎv,
i1 0.2344AR G Drcbœ Zvc kw³i nvi,
H1i12R2 . 7472
Js1wØZxq †ÿ‡Î cÖevngvÎv,
Anr R
i2 nE 0.458
R G Drcbœ Zvc kw³i nvi,
H2 i22R10 . 489
Js1GLv‡b H
2H1AZGe Drcbœ Zvc kw³i nv‡ii e„w×, H = H
1-H
2=7.7417 Js
-18| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx-K †Z E
1= E
2= 1.5 V; r
1= r
2= 0.3 Ges eZ©bx-L †Z E
1=E
2=E
3= 1.5V; r
1= r
2= r
3= 0.5 ; Dfq eZ©bx‡Z ewn‡iva R = 15 |
M) eZ©bx-K Gi †ÿ‡Î I
s-Gi gvb KZ ?
N) eZ©bx-K I eZ©bx-L Gi g‡a¨ †KvbwUi ewnt‡iva †ekx DËß n‡e ? MvwYwZKfv‡e we‡kølY Ki|
DËi : M)
Anr R
is nE 0.1923
N) eZ©bx-K †Z cÖevngvÎv,
is 0.1923ADrcbœ Zv‡ci nvi,
H1is2R0 . 5547
Js1eZ©bx-L †Z cÖevngvÎv,
Ar mR
ip mE 0.0989
Drcbœ Zv‡ci nvi,
H2ip2R0 . 1467
Js1GLv‡b H
1H2AZGe eZ©bx-K Gi ewnt‡iva †ekx DËß n‡e|
9| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z E
1=12V, E
2= 9V, R
1=8 , R
2=6 , R
3= 15 , R
4= 6 Ges R
5= 4 | M) DÏxc‡Ki eZ©bx‡Z i
1, i
2I i
3Gi gvb wbY©q Ki|
N) Kvk©‡di m~‡Îi mvnv‡h¨ eZ©bx‡Z kw³i wbZ¨Zv m~Î cÖgvY Kiv hvq DÏxc‡Ki Av‡jv‡K MvwYwZK we‡kølYmn gZvgZ `vI|
DËi : M) Kvk©‡di cÖ_g m~Îvbymv‡i,
i3 i1i2--- (i) Kvk©‡di wØZxq m~Îvbymv‡i,
cÖ_g jy‡c,
i1R1i3R3 i1R4 E101 1 2 1
1 15( ) 6
8i i i i E
12 15 291 2
i i
--- (ii) wØZxq jy‡c,
i2R2 i3R3i2R5E202 2 2 1
2 15( ) 4
6i i i i E
9 25 151 2
i i
--- (iii)
(i), (ii) I (iii) mgxKiY mgvavb K‡i nq
A iA i
A
i10.33 ,2 0.162 ,3 0.492
N) R
1†iv‡ai Rb¨ wefe cZb, V
1=i
1R
1=2.64 V R
2†iv‡ai Rb¨ wefe cZb, V
2=i
2R
2=0.972 V R
3†iv‡ai Rb¨ wefe cZb, V
3=i
3R
3=7.38 V R
4†iv‡ai Rb¨ wefe cZb, V
4=i
1R
4=1.98 V R
5†iv‡ai Rb¨ wefe cZb, V
5=i
2R
5=0.648 V cÖ_g jy‡c, E
1-V
1-V
3-V
4=12-2.64-7.38-1.98=0 wØZxq jy‡c, E
2-V
2-V
3-V
5=9-0.972-7.38-0.648=0
A_©vr cÖwZwU jy‡c †KvlØq †h cwigvY we`y¨r mieivn K‡i, Zv mswkøó †iva؇q e¨wqZ nq| hv kw³i msiÿYkxjZvi cÖgvY K‡i|
10| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z E
1=12V, E
2=6V, R
1=10 , R
2=20 , R
3= 30
| GKRb ch©‡eÿK DÏxc‡Ki eZ©bx ch©‡eÿY Ki‡jb I wnmve K‡i †`L‡jb R3
†iv‡ai ÿgZv me‡P‡q †ekx|
M) A I B we›`yi g‡a¨ Zzj¨ †iva wbY©q Ki|
N) DÏxc‡Ki ch©‡eÿ‡Ki ch©‡eÿ‡Yi mZ¨Zv MvwYwZKfv‡e hvPvB Ki|
DËi : M) Kvk©‡di cÖ_g m~Îvbymv‡i,
ii1i2--- (i) Kvk©‡di wØZxq m~Îvbymv‡i, Dc‡ii jy‡c
2 0
2 1 3
2R iR E i
6 20 302 1
i i
6 . 0 3 21 2
i i
--- (ii)
wb‡Pi jy‡c,
1 0
2 1
1iR E iR
12 20 10 1
i i
12 20 ) (
10 1 2 1
i i i
2 . 1 31 2
i i
--- (iii)
(i), (ii) I (iii) mgxKiY mgvavb K‡i nq
A iA i
A
i10.2727 , 20.3819 , 0.6546
A I B cÖv‡šÍi wefe cv_©K¨, V=E
1=12 V
AZGe, A I B we›`yi g‡a¨ Zzj¨ †iva
18.33 iR V
N) M bs †_‡K cvB,
i = 0.6546 A, i
1= 0.2727 A, i
2= 0.3819 A R
1= 10 , R
2= 20 , R
3= 30
R
1Gi ÿgZv, P
1= i
2R
1= 4.285 W
R
2Gi ÿgZv, P
2= i
12R
2= 1.487 W
R
3Gi ÿgZv, P
3= i
22R
3= 4.375 W
GLv‡b, P
3P1P2A_©vr R
3Gi ÿgZv †ekx| AZGe ch©‡eÿ‡Ki mZ¨Zv mwVK|
11| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z GKwU ûBU‡÷vb weªR †`Lv‡bv n‡q‡Q, hvi E = 12 V, P = 100 , Q = 60 , R = 40 , S = 30 Ges G = 10 |
M) PZz_© evû‡Z KZ gv‡bi †iva wKfv‡e hy³ Ki‡j weªRwU mvg¨ve¯’vq Avm‡e|
N) DÏxc‡Ki eZ©bx‡Z i, i
1, i
2, i
3, i
4, i
gcÖevngvÎv wbY©q Ki‡Z cvi‡e wK-bv ? MvwYwZKfv‡e e¨vL¨v Ki|
DËi : M) awi, mvg¨ve¯’vq PZz_© evûi †iva S
1ûBU‡÷vb weª‡Ri bxwZ Abymv‡i,
1 24
1
S S R Q
P
GLv‡b S
1S , AZGe S Gi mv‡_ S2mgvšÍiv‡j hy³ Ki‡Z n‡e Ges Zzj¨ †iva n‡e S
1
1 1 120
1
2 1 2
S S S S
N) Kvk©‡di cÖ_g m~Îvbymv‡i,
3 2 1 4 4 3 2
1 i i i i i i i
i
i
g
g i i i
i i
i1 3 3 1 ig
i i4 2
Kvk©‡di wØZxq m~Îvbymv‡i, ABDA jy‡c,
0 40 10
100
i1 ig i2 0 4
10
1 2 i i ig
--- (i) BCDB jy‡c,
0 10 30
60
i3 i4 ig 0 10 ) ( 30 ) (
60
1 2 i ig i ig ig
0 100 30
60
1 2 i i ig
0 10 3
6
1 2 i i ig
--- (ii) ABCEA jy‡c,
0 60
100i1 i3E E i i
i g
100
160 (
1) 12 60 160
1 i ig
6 . 0 3 8
1 i ig
--- (iii)
(i), (ii) I (iii) mgxKiY mgvavb K‡i nq
A i
A i
A i
A i
A i
A i
g 0.009945 ,
247 . 0 , 1658 . 0
08125 . 0 , 1757 . 0 , 0713 . 0
4
3 2
1
12| wb‡P GKwU eZ©bx †`Lv‡bv nj:
DÏxc‡Ki eZ©bx‡Z E =12V, P =10 , Q =15 , R =5 , S = 10 , G
= 5 Ges R
1= 20 |
M) DÏxc‡Ki eZ©bx‡Z Pvwe K †Lvjv _vK‡j eZ©bxwUi Zzj¨ †iva wbY©q Ki|
N) Pvwe K eÜ _vK‡j M¨vjfv‡bvwgUv‡ii cÖevngvÎv KZ n‡e ? MvwYwZKfv‡e wbY©q Ki|
DËi : M) DÏxc‡Ki eZ©bx‡Z Pvwe K †Lvjv _vK‡j
25
1 P Q
Rs
15
2 R S
Rs
1 1 9 . 375 1
2 1
p s
s p
R R R R
AZGe eZ©bxwUi Zzj¨ †iva,
RRpR129 . 375
N) Kvk©‡di cÖ_g m~Îvbymv‡i,
3 2 1 4 4 3 2
1 i i i i i i i
i
i
g
g i i i
i i
i1 3 3 1 ig
i i4 2
Kvk©‡di wØZxq m~Îvbymv‡i, ABDA jy‡c,
0 5 5
10
i1 ig i2 0 2
1 2 i i ig
--- (i) BCDB jy‡c,
0 5 10
15
i3 i4 ig 0 5 ) ( 10 ) (
15
1 2 i ig i ig ig
0 30 10
15
1 2 i i ig
0 6 2
3
1 2 i i ig
--- (ii) ABCEA jy‡c,
0 20 15
10i1 i3E i
E i i i
i
i g
10
115 (
1) 20 (
1 2) 12 15 20
45
1 2 i i ig
4 . 2 3 4
9
1 2 i i ig
--- (iii) (i), (ii) I (iii) mgxKiY mgvavb K‡i nq
A i
A i
A i
A i
A i
A i
g 0.0168
, 4197 . 0 , 2685 . 0
1511 . 0 , 2854 . 0 , 1343 . 0
4
3 2
1
AZGe Pvwe K eÜ _vK‡j M¨vjfv‡bvwgUv‡ii cÖevngvÎv
ig 0 . 0168
An‡e|
(O) eûwbe©vPbx cÖkœ (MCQ ) I DËi
1| 0
0C ZvcgvÎvi GKK †iv‡ai †Kv‡bv cwievnxi ZvcgvÎv GKK e„wׇZ Zvi †iv‡ai †h e„w× N‡U Zv‡K H cwievnxi Dcv`v‡bi Kx e‡j ? (K) Av‡cwÿK †iva (L) †ivav¼ (M) †iv‡ai DòZv mnM (N) cwievwnZv mnM
2| wb‡Pi †KvbwU PvR© cÖev‡ni nvi cwigv‡ci GKK
(K) Kzj¤^ (L) †fvë (M) wm‡gÝ (N) A¨vw¤úqvi 3| wb‡Pi †KvbwUi †iv‡ai DòZv mnM FYvZ¥K ?
(K) Al (L) Cu (M) Si (N) Bi 4| cÖevn Nb‡Z¡i GKK Kx ?
(K) A-m (L) Am
-1(M) Am
2(N) Am
-25| Av‡cwÿK †iv‡ai GKK †KvbwU ?
(K) (L) -m (M) -m
-1(N) mho
6| hw` wbw`©ó cwievnx‡Z wbw`©ó mgq a‡i Zwor cÖevwnZ Ki‡j m„ó Zv‡ci cwigvY n‡e cÖevwnZ Zwo‡Zi - wb‡Pi †KvbwU ? (K) mgvbycvwZK (L) e¨¯ÍvbycvwZK (M) e‡M©i mgvbycvwZK (N) e‡M©i e¨¯ÍvbycvwZK 7| e„ËvKvi cÖ¯’‡”Q‡`i †Kv‡bv cwievnxi e¨vmva© A‡a©K Kiv n‡j, †iva n‡e
(K) GK-PZz_©vsk (L) A‡a©K (M) wظY (N) Pvi¸Y 8| †iva †Kvb wel‡qi Dci wbf©i K‡i bv ?
(K) Dcv`vb (L) ˆ`N©¨ (M) Zwor cÖevn (N) cÖ¯’‡”Q‡`i †ÿÎdj
9| V wefe cv_©K¨wewk÷ †Kv‡bv cwievnxi wfZi w`‡q t mgq a‡i Q cwigvY Avavb cwievwnZ n‡j Zwor ÿgZv wb‡Pi †KvbwU n‡e ? (K)
VQt(L)
VQ(M)
Qt
V
(N)
t VQ10| ûBU‡÷vb weª‡Ri mvnv‡h¨ Kx cwigvc Kiv nq ?
(K) cÖevngvÎv (L) †iva (M) Zwo”PvjK kw³ (N) wefe cv_©K¨
11| wb‡Pi †Kvb m~Î e¨envi K‡i ûBU‡÷vb weªR bxwZ cÖwZcv`b Kiv nq ?
(K) Kzj‡¤^i m~Î (L) wKk©‡di m~Î (M) A¨vw¤úqv‡ii m~Î (N) d¨viv‡Wi m~Î 12| k›U n‡jv h‡š¿i mv‡_
(K) mgvšÍiv‡j hy³ D”Pgv‡bi †iva (L) mgvšÍiv‡j hy³ wb¤œgv‡bi †iva (M) †kÖwY‡Z hy³ D”Pgv‡bi †iva (N) †kÖwY‡Z hy³ wb¤œgv‡bi †iva 13| mn‡R cvwb Mig Ki‡Z n‡j
(K) †ewk we`y¨r †ewk †ivaK Zv‡ii ga¨ w`‡q cvVv‡Z n‡e (L) †ewk we`y¨r Kg †ivaK Zv‡ii ga¨ w`‡q cvVv‡Z n‡e (M) Kg we`y¨r †ewk †ivaK Zv‡ii ga¨ w`‡q cvVv‡Z n‡e (N) †ewk we`y¨r †ewk mycwievnx Zv‡ii ga¨ w`‡q cvVv‡Z n‡e
14| cwievnxi cÖ¯’‡”Q‡`i GKK †ÿÎd‡ji ga¨w`‡q cÖevwnZ Zwor cÖevn‡K Kx e‡j ?
(K) Zwor ej (L) j‡iÄ ej (M) †PФ^K ej (N) cÖevn NbZ¡
15| wb‡Pi †KvbwU mwVK bq ? (K)
2 1
1 1 1
R R
Rp
(L)
2 1
1 1 1
C C
Cs
(M)
Rs R1R2(N)
Cp C1C216| GKwU Zvi‡K `yB fv‡M fvM Ki‡j
(K) ‰e`y¨wZK ¸Yvewj bó n‡q hvq (L) Av‡cwÿK †iva GKB _v‡K (M) †iva Av‡cwÿK †iv‡ai A‡a©K nq (N) †iva GKB _v‡K
17| mvg¨ve¯’vq †Kv‡bv ûBU‡÷vb weª‡Ri M¨vjfv‡bvwgUvi cÖev‡ni gvb
(K) Amxg (L) m‡e©v”P (M) k~b¨ (N) g~j cÖev‡ni mgvb 18| G = M¨vjfv‡bvwgUv‡ii †iva Ges S = kv‡›Ui †iva n‡j kv›U ¸YK n‡e
(K)
G S S
(L)
S GG
(M)
GS G
(N)
SS G
19| wb‡Pi †Kvb h‡š¿i mvnv‡h¨ GKwU †Kv‡li Zwo”PvjK kw³ wbY©q Kiv hvq ?
(K) A¨vgwgUvi (L) M¨vjfv‡bvwgUvi (M) †cv‡UbwkIwgUvi (N) IÕgwgUvi 20| wgUvi weªR wb‡Pi †KvbwUi wfwˇZ KvR K‡i ?
(K) A¨vw¤úqv‡ii m~Î (L) ûBU‡÷vb weªR bxwZ (M) dvg©v‡Ui bxwZ (N) wKk©‡di bxwZ 21| †cvó Awdm e· †h Kv‡R e¨envi nq
(K) †cvó Awd‡m wej msMÖ‡n (L) cwievnxi ARvbv †iva wbY©‡q (M) eZ©bxi cÖevngvÎv wbY©‡q (N) †Kv‡li Zwo”PvjK kw³ wbY©‡q 22| wb‡Pi †Kvb h‡š¿i mvnv‡h¨ †iva cwigvc Kiv nq ?
(K) wgUvi weªR (L) A¨vwgUvi (M) †cv‡UbwkIwgUvi (N) †fvëwgUvi 23| wbw`©ó cwievnx†Z wbw`©ó mgq a‡i Zwor cÖevn Pvjbv Ki‡j Drcbœ Zv‡ci †ÿ‡Î wb‡Pi †KvbwU mwVK ?
(K) H i
2(L) H R (M) H t (N) H i 24| we`y¨r cÖev‡ni d‡j Drcbœ Zv‡ci †ÿ‡Î Ry‡ji cÖevnKv‡ji m~‡Îi iƒc †KviwU ?
(K) H i
2(L) H R (M) H t (N) H t
225| †Kv‡bv cwievnx†Z wbw`©ó mgq a‡i wbw`©ó Zwor cÖevn Pvjbv Ki‡j Drcbœ Zv‡ci †ÿ‡Î wb‡Pi †KvbwU mwVK ? (K) H i
2(L) H R (M) H t (N) H R
226| †KvwU mZ¨ ?
(K) V = I/R (L) V = QC (M) V = (PR) (N) V = R/I 27| 10 B.O.T. unit = ….kWh
(K) 1 (L) 10 (M) 3.6×10
6(N) 3.6×10
528| GKwU B‡jKwUªK †gvU‡ii ÿgZv 0.25 Ak¦kw³| hLb GwU‡K 220 V mieivn jvB‡bi mv‡_ ms‡hvN †`Iqv nq ZLb Gi ga¨ w`‡q KZ we`y¨r cÖevwnZ n‡e ?
(K) 1.212 A (L) 0.848 A (M) 0.424 A (N) 0.212 A cÖ‡hvRbxq mgxKiY
PVI29| GKwU 1500 Iqv‡Ui wnUvi‡K 220 V jvB‡b 1 N›Uvi Rb¨ mshy³ Kiv n‡j H wnUv‡i Kx cwigvY we`y¨r cÖevn Pj‡e ? (K) 5.28 A (L) 5.82 A (M) 6.28 A (N) 6.82 A
cÖ‡hvRbxq mgxKiY, P = VI
30| 60 W – 220 V Ges 60 W – 110 V †jLv evj¦ `ywUi †iv‡ai AbycvZ KZ ?
(K) 1 t 1 (L) 2 t 1 (M) 1 t 4 (N) 4 t 1 cÖ‡hvRbxq mgxKiY
R P V
2
31| 30
0C ZvcgvÎvq wb‡Kj Zv‡ii †iva 100 | 75
0C ZvcgvÎvq D³ Zv‡ii †iva KZ n‡e ? ( wb‡K‡ji Zv‡ii †iv‡ai DòZv mnM 610
-3
/
0C )
(K) 117.39 (L) 120 (M) 122.88 (N) 124 cÖ‡hvRbxq mgxKiY
R R0(1)32| GKwU 1500 Iqv‡Ui wnUvi‡K 220 V jvB‡b 1 N›Uvi Rb¨ mshy³ Kiv n‡j H wnUv‡i Kx cwigvY we`y¨r cÖevn Pj‡e ? (K) 5.28 A (L) 5.82 A (M) 6.28 A (N) 6.82 A
cÖ‡hvRbxq mgxKiY, P = VI
33| GKwU ûBU‡÷vb weª‡Ri PviwU evû‡Z h_vμ‡g 10, 15, 20 Ges 25 †iva hy³ Av‡Q| PZz_© evû‡Z Avi KZ gv‡bi †iva wKfv‡e hy³ Ki‡j weªRwU mvg¨ve¯’vq Avm‡e ?
(K) 13.64 , †iva †kÖYx‡Z (L) 13.64 †iva mgvšÍiv‡j (M) 5 , †iva †kÖYx‡Z (N) 5 †iva mgvšÍiv‡j cÖ‡hvRbxq mgxKiY,
S R Q
P
34| GKwU wgUvi weª‡Ri evg I Wvb duv‡K h_vμ‡g 12 I 16 †iva hy³ Ki‡j evg cÖvšÍ n‡Z KZ `~‡i mvg¨ve¯’v cvIqv hv‡e ? (K) 24.86 cm (L) 24.68 cm (M) 42.68 cm (N) 42.86 cm
cÖ‡hvRbxq mgxKiY,
l l Q
P
100
35| 50 †iv‡ai GKwU M¨vjfv‡bvwgUvi 10 mA Zwor cÖevn wbivc‡` MÖnY Ki‡Z cv‡i| 2 A Zwor cÖevn gv‡ci Rb¨ KZ †iv‡ai kv›U `iKvi ? (K) 0.2 (L) 0.25 (M) 0.3 (N) 0.3.5
cÖ‡hvRbxq mgxKiY,
S G ig iS
36| GKwU ev‡j¦i Mv‡q 220 V 60 W †jLv Av‡Q| Gi ga¨ w`‡q Kx cwigvY Zwor cÖevwnZ n‡e ? (K) 0.173 A (L) 0.237 A (M) 0.273 A (N) 0.372 A cÖ‡hvRbxq mgxKiY
PVI37| †Kv‡bv ev‡j¦ wdjv‡g‡›Ui †iva 100 Ges Gi `yB cÖv‡šÍi wefe cv_©K¨ 220 V n‡j, Gi ga¨ w`‡q KZ Zwor cÖevwnZ n‡e ? (K) 1.1 A (L) 1.2 A (M) 2.2 A (N) 2.4 A
cÖ‡hvRbxq mgxKiY V=IR
38| wbw`©ó cwievnx‡Z cÖevngvÎv wZb¸Y Kiv n‡j Drcbœ Zv‡ci cwigvY KZ¸Y n‡e ? (K)
91
(L)
31
(M) 3 (N) 9 cÖ‡hvRbxq mgxKiY H = i
2Rt
39| GKwU Zv‡ii †iva 10 | G ZviwUi AvqZb wVK‡i‡L ˆ`N©¨ wظY Kiv n‡j †iva KZ n‡e ? (K) 10 (L) 20 (M) 40 (N) 100 cÖ‡hvRbxq mgxKiY ,
A1L1 A2L2A
R L
40| †Kv‡bv evwoi †gBb wgUv‡i 6 A 220 V wPwýZ Kiv Av‡Q| KZ¸‡jv 60 W-Gi evwZ e¨venvi Kiv hv‡e ? (K) 11 (L) 22 (M) 33 (N) 44
cÖ‡hvRbxq mgxKiY
P nVI41| 12 V Zwo”PvjK kw³ Ges 0.2 Af¨šÍixY †iv‡ai GKwU e¨vUvwi‡K GKwU ˆe`y¨wZK cvLvi mv‡_ hy³ Ki‡j e¨vUvwii cÖvšÍ؇qi wefe cv_©K¨ `uvovq 10 V| cvLvq mieivnK…Z Kv‡i‡›Ui gvb KZ ?
(K) 110 A (L) 10 A (M) 62 A (N) 0.4 A cÖ‡hvRbxq mgxKiY,
r V i E
42| GKwU 3 †iv‡ai Zvi‡K mgevû wÎfz‡Ri AvKv‡i euvKv‡bv n‡jv| GKwU evûi `yB cÖv‡šÍi †iv‡ai gvb KZ ? (K) 2/3 (L) 1 (M) 3/2 (N) 3
cÖ‡hvRbxq mgxKiY
3 2
1
1 1 1
R R R R
R R
s p
s
43| 20 †iv‡ai GKwU Zvi‡K mgvb 4wU L‡Û wef³ K‡i mgvšÍivj mgev‡q mshy³ Kiv n‡jv| Zzj¨ †iva KZ n‡e ? (K) 0.8 (L) 1.25 (M) 5.0 (N) 20.0
cÖ‡hvRbxq mgxKiY
4 3 2 1
1 1 1 1 1
R R R R
Rp
44| GKwU ˆe`y¨wZK evwZ, cvLv I wnUv‡ii Mv‡q h_vμ‡g 100W220V, 80W220V Ges 1.5KW220V †jLv Av‡Q| †KvbwUi
†iva me‡P‡q Kg ?
(K) evwZ (L) cvLv (M) wnUvi (N) †Kv‡bvwUiB bq cÖ‡hvRbxq mgxKiY
P R V
2
45| GKB †iva I cÖ¯’‡”Q‡`i `ywU Zv‡ii ˆ`‡N©¨i AbycvZ 1t2| hw` GKwUi Av‡cwÿK †iva 1-m nq, Zvn‡j Ab¨wUi Av‡cwÿK †iva KZ ? (K) 0.5 -m (L) 1 -m (M) 2 -m (N) 4 -m
cÖ‡hvRbxq mgxKiY
1L1 2L2 AR L