wb‡Pi †KvbwU mwVK

(1)

welq †KvW 1 7 4 we G Gd kvnxb K‡jR XvKv

wbe©vPwb cixÿv2017 Øv`k †kªwY

welq t c`v_©weÁvb 1g cÎ (eûwbe©vPwb)

mgq t 25 wgwbU c~Y©gvb25

[ we‡kl `ªóe¨ t mieivnK…Z eûwbe©vPwb Afxÿvi DËic‡Îi cÖ‡kœi µwgK b¤^‡ii wecix‡Z cÖ`Ë eY©m¤^wjZ e„Ëmg~n n‡Z mwVK/m‡e©vrK…ó DË‡ii e„ËwU ejc‡q›U Kjg Øviv m¤ú~Y© fivU Ki| cÖwZwU cÖ‡kœi gvb-1 ]

1. wb‡gœi †Kvb weÁvbx Kv‡jv e¯‘i wewKiY e¨vL¨vq K¬vwmK¨vj wdwR‡·i mxgve×Zv AwZµg Ki‡Z †c‡iwQ‡jb?

iv`vi‡dvW© gvB‡Kj d¨viv‡W AvjevU© AvBbóvBb g¨v· cøvsK 2. wb‡Pi †KvbwU mwVK?

A +  B +  C = 0  A   B   C = 0  A = B + C  A +  B =  C 

3. hw` | A +  B | = | A   B | nq ZLb  A I  B Gi ga¨eZ©x †KvY? 

30 45 60 90

4.

MÖvd †_‡K MwZkxj e¯‘i AwZµvšÍ `~iZ¡ n‡e

10 m 15 m 20 m 25 m

DÏxcKwU c‡o 5 I 6 bs cÖ‡kœi DËi `vI t

GKwU PvKv w¯’i Ae¯’v †_‡K MwZ e„w× †c‡q 50s 400 r.p.m n‡jv|

5. PvKvwUi †KŠwYK Z¡iY

0.837 rads^-1 0.437 rads^-1 0.127 rads^-1 0.837 rads^-2 6. 50 †m‡K‡Û PvKvwU KZevi N~Y©b w`‡qwQj?

168 133 130 113

7. AmsiÿYkxj ej

i. mv›`ª ej ii. AwfKl© ej iii. Zwor ej

wb‡Pi †KvbwU mwVK?

i i I ii ii I iii i, ii I iii

8. wP‡Î 100 kg f‡ii GKwU eøK AB Z‡ji Dci w`‡q Mwo‡q co‡Q

Kv‡Ri cwigvY

100 J 200 J 980 J 1950 J

9. wb‡Pi †KvbwU mwVK bq?

evwl©K MwZi Rb¨ ‘g’ Gi gvb cwieZ©b nq c„w_exi N~Y©b Gi Rb¨ ‘g’ Gi gvb cwieZ©b nq Ae¯’vi cwieZ©‡bi Rb¨ ‘g’ Gi gvb cwieZ©b nq e¯‘i f‡ii cwieZ©‡bi Rb¨ ‘g’ Gi gvb cwieZ©b nq DÏxcKwU c‡o 10 I 11 bs cÖ‡kœi DËi `vI t

GKwU K…wÎg DcMÖn f‚c„ô †_‡K ‘R’ e¨vmva© Gi mgvb D”PZvq Kÿc‡_ AveZ©b iZ| c„w_exi e¨vmva© 6.410⁶ m Ges g = 9.8 ms^-2|

10. DcMÖ‡ni AveZ©bkxj

1.410³ s 1.410⁴ s 2.410⁴ s 1.810² s

(2)

11. DcMÖ‡ni ‰iwLK‡eM KZ?

410⁴ ms^-1 3.910³ ms^-1 510⁴ ms^-1 4.510⁵ ms^-1

12. mij Qw›`Z ¯ú›`bkxj KYvi Rb¨ wb‡Pi †Kvb hvwš¿K kw³i wbZ¨Zvi mgxKiY

1

8 m²w²A² 1

2 mw²A² 3

2 mw²A² 1

4 mw²A² 13. †m‡KÛ †`vj‡Ki Rb¨ †KvbwU mwVK?

L = g²

π L = g

π² L = g

π L = T

g 14. msbg¨Zv

AvqZb cxob AvqZb weK…wZ

AvqZb weK…wZ AvqZb cxob

‰`N©¨ cxob ˆ`N©¨ weK…wZ

e¨eZ©b cxob e¨eZ©b weK…wZ

15. GKwU w¯ús Gi wb‡Pi cÖv‡šÍ 30 N ej cÖ‡qvM Kiv n‡j GwU 4 cm e„w× cvq| ej aªæeK KZ?

7.510² Nm^-1 5.510² Nm^-1 2.510² Nm^-2 5.710² Nm^-1 16. mv›`ªZv ¸Yvs‡Ki gvÎv †KvbwU?

[ML^-1T^-1] [MLT^-2] [ML^-2T^-2] [MLT]

17. †`Iqv Av‡Q

i. c„ôUvb cÖevnxi we‡kl ag©

ii. mv›`ªZv cÖevnxi we‡kl ag©

iii. Zi‡ji c„ôkw³, c„ôUv‡bi mgvb wb‡Pi †KvbwU mwVK?

i I ii ii I iii

i I iii i, ii I iii 18. mv›`ªZv ¸Yvs‡Ki GKK

Nm^-1 Jm^-2 Nsm^-2 Nsm^-1

19. M¨v‡mi MwZkw³i †ÿ‡Î

i. GKB M¨v‡mi AYy¸‡jv m`„k ii. AYy¸‡jvi fi we›`y fi

iii. M¨v‡mi AYy¸‡jv msNl© Aw¯’wZ¯’vcK msNl©

i i I ii ii I iii i, ii I iii 20. wb‡Pi †KvbwU mwVK?

Cr.m.s > Cav > cms Cav > Crms > Cm.s Cms > Cav > Cr.m.s Cr.m.s > Cm.s

21. M¨v‡mi †ÿ‡Î  = Mogy³ c_ P= Pvc, T = ZvcgvÎv,  = M¨v‡mi NbZ¡ n‡j, i.   1

p ii.   T iii.   1

 wb‡Pi †KvbwU mwVK?

i i I ii ii I iii i, ii I iii 22. Uvbv Zv‡i AbycÖ¯’ Zi‡½i Rb¨ †jLwPÎ †`Lvb n‡jv

†KvbwU mwVK?

T  f² f  T² f  T T  f wb‡Pi wPÎwU †_‡K 23 I 24 bs cÖ‡kœi DËi `vI t

(3)

23. A I E we›`y‡K ejv nq

we¯Ívi Zi½ cv`

miY Zi½ kxl©

24. Dc‡ii Zi‡½i wPÎvbymv‡i, P we›`y‡Z Zi‡½i mgxKiY n‡e?

y = sin π

2 (vt5) y = A sin 2π

 (vt  x) y = A sin 2π (vtx) y = 4 sin 2π (vt5)

25. Dcmy‡ii g‡a¨ †h mKj K¤úvsK g~j my‡ii mvaviY ¸wYZK Zv‡`i‡K e‡j

¯^i myi

mg‡gj AóK

welq †KvW 1 7 5 we G Gd kvnxb K‡jR XvKv

wbe©vPwb cixÿv2017 Øv`k †kªwY

welq t c`v_©weÁvb 2q cÎ (eûwbe©vPwb)

mgq t 25 wgwbU c~Y©gvb25

[ we‡kl `ªóe¨ t mieivnK…Z eûwbe©vPwb Afxÿvi DËic‡Îi cÖ‡kœi µwgK b¤^‡ii wecix‡Z cÖ`Ë eY©m¤^wjZ e„Ëmg~n n‡Z mwVK/m‡e©vrK…ó DË‡ii e„ËwU ejc‡q›U Kjg Øviv m¤ú~Y© fivU Ki| cÖwZwU cÖ‡kœi gvb-1 ]

(4)

1. GbUªwci SI GKK wK?

JK^-1 JK J^1K J^-1K^-1 2.  = 5/2 Gi Rb¨ †KvbwU mwVK?

Cv = R 2

3 Cv = 2R

Cv = R 2

5 Cp = R

3 5

3. iƒ×Zvcxq cwieZ©‡bi †ÿ‡Î †KvbwU mwVK?

i. Pv^ = aªæeK ii. Tv^ = aªæeK iii. Tp 1 

 = aªæeK wb‡Pi †KvbwU mwVK?

i I ii i I iii ii I iii i, ii I iii 4. Avavb Nb‡Z¡i GKK wK?

cm^-3 cm^-2 cm² cm³

wb‡Pi DÏxc‡Ki Av‡jv‡K 5 bs cÖ‡kœi DËi `vI t q1 = + 2C q2 =  2C

A I B Awfbœ †MvjKØ‡qi Avavb h_vµ‡g q1 I q2 | 5. A †MvjK KZ B‡jKUªb nvwi‡q‡Q?

1.6 × 10^-19 3.2 × 10^-19

6.25 × 10¹⁸ 1.25 × 10¹⁹

6. †iva gvcvi hš¿ n‡jv

i. wgUvi weªR ii. †cv÷ Awdm e·

iii. †cv‡UbwkI wgUvi wb‡Pi †KvbwU mwVK?

i I ii ii I iii i I iii i, ii I iii 7.

I Gi gvb KZ?

0.2 A 1.8 A 2 A 2.2 A

8. †PŠ¤^K †ÿ‡Î ¯’vwcZ GKwU Zworevnx ÿz`ª KzÛjxi Dci UK© n‡”Q

i.  = M  B ii.  = N I A  B iii.  = NI AB sin

i I ii ii I iii

i I iii i, ii I iii

9. †Kvb ¯’v‡bi f‚-Pz¤^K‡ÿ‡Îi gvb 22.5TGes webwZ 30| H ¯’v‡b f‚-†PŠ¤^K †ÿ‡Îi Abyf‚wgK Dcvs‡ki gvb KZ?

1.95 × 10^-5T 1.95T 19.5T 1.95 × 10⁶T

10. †Kvb w`K cwieZ©x Zwor”PvjK kw³i mgxKiY E = 220 sin 314 t Zwor”PvjK kw³i Mo e‡M©i eM©g~j gvb KZ?

140.14 V 155.54 V

311.17 V 345.36 V

11. †nbix n‡”Q

VAS^-1 VAS

VSA^-1 ASV^-1

12. b~¨bZg wePz¨wZi mwVK m¤úK©wU n‡jv

1

1 r

i  r₁ r₂

2 m r A

r₁ ₂  

2 i A i₁  ₂ 

13. ¯úó `k©‡bi wbKU we›`y‡Z †dvKvmK…Z GKwU `~iexÿY h‡š¿i Awf‡b‡Î †PvL †i‡L †Kvb e¯‘‡K †`L‡j

i. we¤^ `~‡i †`Lv hv‡e ii. we¤^ weewa©Z †`Lv hv‡e iii. we¤^ Dëv †`Lv hv‡e wb‡Pi †KvbwU mwVK?

i I ii ii I iii

i I iii i, ii I iii 14. GKwU Zi‡½i `ywU we›`yi g‡a¨ `kv cv_©K¨

2

| we›`yØ‡qi g‡a¨ c_ cv_©K¨ KZ?

2



4



8



16



1.52 × 10¹⁵H2 1.8 × 10¹⁴H2

1.5 × 10¹⁰H2 15 × 10¹²H2

16. cÖwZwU B‡jKUª‡bi fi‡eM P n‡j

h

P Ph

2

P h

 

Pc 17. †ZRw®Œq ÿq m~Î n‡jv

Noe t

N ^^ NNoe^^^T²¹

2 T1

Ne

r = n²oh²

πme² r = no²h² πm²e²

A B

(5)

r = noh

πme r = n²h²

oπme² 19. GK K¨vjix?

4.2 J 2.4 J

0.24 J 1 J

20. †PŠ¤^K d¬v· Nb‡Z¡i GKK

I‡qevi I‡qevi/m²

i. Gwm I wWwm Dfq ai‡bi mieivn jvB‡b e¨envi Kiv hvq

ii. Zwor Drcv`b I eû `~‡ii Zwor cvV`v‡bi Kv‡R e¨envi Kiv nq

iii. Zwor ÿgZv e„w×i Kv‡R e¨envi Kiv nq wb‡Pi †KvbwU mwVK?

i I ii i I iii

L = Lo





 1  v²

c² Lo = L





 1  v²

c² L = Lo





 1  v²

c²



 

 

 c

1 v L Lo

IE Ic

IB Ic

IE IB

IC IB 24. UªvbwR÷i wK?

8.854 × 10^-12 C²N^-1m^-2 8.854 × 10^-9 C²N^-1m^-2 8.854 × 10^-11 C²Nm 8.54 × 10^-12 CN^-1m^-1