test paper hindi

egRoiw.kZ vuqns'k1. ijh{kk iqfLrdk ds bl i"B ij vko';d fooj.k uhys@dkys ckWy ikbaV isu ls rRdky HkjsaA isfUly dk iz;ksx fcYdqy

oftZr gSA

2. bl ijh{kk iqfLrdk esa 90 iz'u gSA

3. bl iz'u i=k esa rhu Hkkx gSaA izR;sd Hkkx esa izR;sd lgh mÙkj ds fy, vadks dk fo"k;okj forj.k uhps fn, vuqlkj

gksxkA

Hkkx A � HkkSfrd 'kkL=k (120 vad )

iz'u la[;k 1 ls 30 rd izR;sd lgh mÙkj ds fy, pkj (4) vad gSA

Hkkx B � xf.kr (120 vad )


Hkkx C � jlk;u foKku (120 vad )


4. ijh{kkfFkZ;ksa dks izR;sd iz'u ds lgh mÙkj ds fy, vad funsZ'k la- 3 esa crk, vuqlkj fn, tk,¡xsA izR;sd iz'u ds xyr

mÙkj dks n'kkZus ij vadks dk �0.5 vad ¼vk/kk vad½ dkVk tk,xkA ;fn iz'u dk dksbZ mÙkj ugha n'kkZ;k x;k gS rks

iznÙk vadksa esa ls �0.125 vad ¼� 1/8 vad½ dkV fn;k tk,xkA

5. ijh{kk Hkou ds vUnj dksjs dkxt] fDyi cksMZ] ykWx Vscy] LykbM :y] dSydqysVj] lsyqyj Qksu] istj vkSj

bysDVªkfud midj.k fdlh Hkh :i esa fuf"k) gSaA

6. jQ dk;Z ijh{kk iqfLrdk esa dsoy fu/kkZfjr txg ij gh dhft,A ;g txg izR;sd i"B ij uhps dh vksj gSA

7. ijh{kk lekIr gksus ij] ijh{kkFkhZ d{k@gkWy NksM+us ls iwoZ mÙkj i=k d{k fujh{kd dks vo'; lkSi nsaA ijh{kkFkhZ vius

lkFk bl ijh{kk iqfLrdk dks ys tk ldrs gSaA

8. ;g lqfuf'pr dj ysa fd bl iqfLrdk dk ladsr] mÙkj i=k ij ladsr ls feyrk gSA vxj ;g fHkUu gks rk ijh{kkFkhZ

nwljh ijh{kk iqfLrdk vkSj mÙkj i=k ysus ds fy, fujh{kd dks rqjUr voxr djk,¡A

9. mÙkj i=k dks u eksM+sa ,oa u gh ml ij vU; fu'kku yxk,¡Aa

10. uksV : iz'u dks NksMus ij � 0.125 vad ¼� 1/8 vad½ dkVk tk,xkA

Date : 08-08-2010 Duration : 3 Hours Max. Marks : 270

d i;k lwpukvksa d ks /;ku ls i<+saA bld s gh fy, vkidks 5 feuV fo'ks"k rkSj ls fn;s x;s gSA

fnukad : 26-02-2012 le; : 3 ?kaVs vf/kdÙke vad : 360

ALL INDIA OPEN TEST (AIOT)TARGET : AIEEE 2012 4

CODE

tc rd

ifjos"kd fun

sZ'k ugha nsa

rc rd iz'u i=k d

h lhy d

ks ugha [kksaysA

ijh{kkFkhZ dk uke iath;u la[;k

eSus lHkh vuqns'kksa dks i<+ fy;k gS vkSj

eS mudk vo'; ikyu d:¡xkA

--------------------------------ifjos"kd ds gLrk{kj

ijh{kkFkhZ ds }kjk Hkjh x;h lHkh tkudkjh;k¡esjs }kjk lR;kfir dj yh xbZ gSA

--------------------------------ijh{kkFkhZ ds gLrk{kj

IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE | SAT

COURSE : AKHIL (EF) & AJAY (ER)

(SPACE FOR ROUGH WORK)

RESONANCE AIOTXII/XIII260212C4-1

PART�A

[k.M- I

lh/ks oLrqfu"B izdkj

bl [k.M esa 27 cgq&fodYih iz'u gSaA izR;sd iz'u ds

4 fodYi (1), (2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d

lgh gSA

1. ,d m nzO;eku rFkk q vkos'k d s d .k dks M nzO;eku

ds vpkyd CykWd ij n<+rk ls yxk;k x;k gSA CykWd

,d {kSfrt lrg ft ld k ?k"kZ.k xq.kkad gS] ij j[kk

gSA fo|qr {ks=k d s ifjek.k d k U;wure eku D;k gksxk

rkfd CykWd xfr d juk izkjEHk d j ld sA

µ

M

q,m

(1) qg)Mm.(

(2) 21q

g)Mm(

(3) qMg.

(4) 21q

Mg.

2. ,d Bksl vpkyd xksys d ks bl rjg ls vkosf'kr

fd ;k x;k gSa fd t c d sUnz ls nwj t krs gSa rks fo|qr

{ks=k ?kVrk gSa] rks fuEu ls dkSulk dFku lR; gSa@ gS&

(1) xksyk leku : i ls vkosf'kr gSA

(2) lrg ij foHko] bld s d snz ls d e gSA

(3) lrg ij foHko] bld s d snz ls T;knk gSA

(4) lrg ij foHko] bld s d snz ls d e gks ld rk gSA

3. ,d ljy yksyd dks iFoh lrg ls 64 fdeh0 Å ij ys

tk;k tkrk gSA bldk vkorZdky gksxk :

(1) c<+sxk 1 % ls

(2) ?kVsxk 1 % ls

(3) c<+sxk 2 % ls

(4) ?kVsxk 2 % ls




4. fn;s x;s foHkoekih ifjiFk esa] ,d leku vuqizLFk dkV

ds 1 ehVj yEcs foHkoekih rkj AB dk izfrjks/k 10 gSA

tc ifjorhZ izfrjks/k R = 10 , gS] rc lUrqyu fcUnq

yEckbZ ds fy, izkIr fd;k tkrk gS tSlk fd fn[kk;k

x;k gSA ;fn ifjorhZ izfrjks/k nqxquk gks tkrk gS] rks ubZ

larqyu yEckbZ gksxhA

e

A JB

R

E

(1)

(2) 1.5

(3) 2

(4) 2

5. xfr'khy d.k dk fLFkfr le; vkjs[k n'kkZ;k x;k gSA

fuEu esa esa ls dkSulk blds osx le; vkjs[k dk lcls

lgh çnf'kZr djrk gSA : (1 = 2 = 120º)

(1) (2)

(3) (4)




6. ,d fi.M dks {kSfrt ls 60º ds dks.k ij iz{ksfir fd;k

x;k gSA vxj mPpre Å ¡pkbZ ij bldh xfrt Å tkZ

10 twy gS ] rks og Å ¡pkbZ ftl ij xfrt mtkZ rFkk

fLFkfrt mtkZ leku gksxh % ¼iz{ksi.k fcUnq ij fLFkfrt

Å tkZ 'kwU; ekus

(1) vf/kdre Å ¡pkbZ dh vk/kh

(2) vf/kdre Å ¡pkbZ dh nks frgkbZ

(3) vf/kdre Å ¡pkbZ dh 1/6 th

(4) iz'u gy djus ds fy, lwpuk vi;kZIr gSA

7. CykWd A o B ij nks vpj {kSfrt cy F1 o F2

d k;Zjr gSA fd lh {k.k CykWd B d k Roj.k F1 d h

fn'kk esa 4m/s2 gS rFkk bl {k.k CykWd A d k Roj.k

B d s lkis{k gSA

(1) 1 m/s2

(2) 2 m/s2

(3) 7 m/s2

(4) 9 m/s2

8. ,d fo|kFkhZ ,d yd M+h d s ckWDl d ks ,d ?k"kZ.k;qä

{kSfrt Q'kZ ij ,d cy P ds }kjk nka;h vksj tSlk fd

fn[kk;k x;k gS] fu;r pky ls [khaprk gSA (CykWd d k

Q'kZ ls lEid Z rksM+s fcuk) (W CykWd d k Hkkj gS, N

CykWd ij vfHkyEc izfrfØ;k gS] f CykWd ij ?k"kZ.k

cy gS)A fuEu esa ls d kSulk lR; gksxk \

(1) P > f rFkk N < W.

(2) P > f rFkk N = W.

(3) P = f rFkk N > W.

(4) P < f rFkk N = W.

9. laihMu ;a=k }kjk yxk;k x;k cy O;Dr fd ;k t krk

gS F(x) = kx (x � ), 0 < x < , t gk¡ egRre

laEHko laihMu gS] x laihMu gS rFkk k ,d fLFkjkad

gSA ;a=k d ks d nwjh rd laihfMr d jus ij egRre

d k;Z gksxk t c &

(1) d = 4

(2) d = 2

(3) d = 2

(4) d =



10. nks d.k A rFkk B fu;r dks.kh; osx ls Øe'k% 1m rFkk

2m f=kT;k ds nks ldsUnzh; oÙkks ij fp=kkuqlkj pDdj

yxk jgs gSA t = 0 ij d.kksa dh fLFkfr;k¡ fp=k esa iznf'kZr

gSA ;fn mA = 2kg, mB = 1kg rFkk AP

o BP

d.kksa ds

js[kh; laosx gS rks nksuksa d.kksa dh vxyh xfr esa BA PP

dk vf/kdre eku ¼kg-m/sec esa) Kkr djksA

2m/s

3m/s

BA

(1) 1

(2) 7

(3) 8

(4) 5

11. f=kT;k R d h oy; ,d fu;r osx ls fcuk fQlyrs

gq, [kqjnjh {kSfrt lrg ij ykSVuh xfr djrh gSA rks

oy; d s mPpre fcUnq d s fd lh d .k }kjk r; fd ;s

x;s iFk d h oØ rk f=kT;k D;k gksxh t c og d .k

vius iFk ij mPpre fcUnq ij gks \

(1) 5 R (2) 2 R

(3) 4 R (4) buesa ls d ksbZ ugha

12. 300 kg nzO;eku dh ,d leku pdrh blds dsUnz ls

xqtjus okys m/okZ/kj v{k ds izfr fu;r dks.kh; osx

ls ?kwe jgh gS A 30 kg dk ,d yM+dk dsUnz ls izkjEHk

djds pdrh dh f=kT;k ds vuqfn'k ijh/kh rd tkrk gSA

vc pdrh dk dks.kh; osx gS &

(1) 0

6

(2) 0

5

(3) 4

5

0

(4) 5

6

0

13. O2 ds 32 g dks 1m Hkqtk ds ?kukdkj crZu esa 127°C

ds rki ij j[kk tkrk gSA xSl dk lerkih; vk;ru

izR;kLFkrk xq.kkad dk eku lkoZf=kd xSl fu;rkad R ds

inksa es gksxk &

(1) 127 R

(2) 400 R

(3) 200 R

(4) 560 R



14. m nzO;eku ,oa r f=kT;k dk xksyk ,d xq:Rojfgr

vkdk'k esa v pky ls ç{ksfir fd;k tkrk gSA ;fn ek/

;e ftlesa ;g xfr'khy gS dk ';kurk xq.kakd 6

1 gS ]

rks oLrq }kjk :dus ls iwoZ r; dh x;h nwjh gksxh :

(1) r2mv

(2) rmv2

(3) r

mv(4) r4

mv

15. ;fn vfHkn'kZd o vfHkus=k ySal dh Qksdl yEckbZ Øe'k%

1.2 cm rFkk 3 cm gSA rFkk oLrq dks vfHkn'kZd ySal ls

1.25 cm nwj j[kk tkrk gS] rks vfUre izfrfcEc vUur

ij curk gS] rks lw{en'khZ dh vko/kZu {kerk Kkr djsA

(1) 150

(2) 200

(3) 250

(4) 400

16. ,d oS|qr f}/kzqo xksys ds dsUnz ij j[kk gSA lgh fodYi

pqfu,

(1) xksys ds çR;sd fcUnq ij fo|qr {ks=k 'kwU; gSA

(2) xksys ls xqtjus okyk oS|qr ¶yDl v'kwU; gSA

(3) xksys ij fLFkr oÙk ij fo|qr {ks=k 'kwU; gSA

(4) xksys ds fdlh Hkh fcUnq ij fo|qr {ks=k 'kwU; ugha gSA

17. ,d vkosf'kr d.k d k vkos'k +q, nzO;eku m gS] ;g

v osx ls fp=kkuqlkj le: i pqEcdh; {ks=k )k�(B esa

xfr'khy gSA lgh d Fku NkafV;sA

q,m

B

X300

extend upto a large distance

X

y

(1) pqEcdh; {ks=k esa d.k }kjk O;frr le; qB6m

gksxkA

(2) pqEcdh; {ks=k esa d.k }kjk O;frr le; qB3m

gksxkA

(3) pqEcd h; {ks=k esa r; nwjh qB6mv

gksxhA

(4) d .k d Hkh Hkh pqEcd h; {ks=k ls ckgj ugh vk,xkA



18. ,d vk;rkdkj ywi ftlesa ,d fQlyus okyh yEckbZ

= 1.0 m dh ,d NM+ CD tqM+h gS] ywi ds ry ds

yEcor~ B = 2T ds ,dleku rFkk fu;r pqEcdh; {ks=k

esa fLFkr gSA tksM+us okyh NM+ CD dk izfrjks/k r = 2

gSA fn[kk;s fp=kkuqlkj 6 rFkk 3 ds nks izfrjks/k tqM+s

gq;s gS \ ywi ds ry esa rFkk CD ds yEcor~ tksM+us okyh

NM+ dks fu;r osx v = 2 m/s ls xfreku j[kus ds fy,

vko';d ckg~; cy gksxk &

(1) 6N

(2) 4N

(3) 2N

(4) 1N

19. fp=kkuqlkj izfrjks/k R rFkk /kkfjrk C ds fljksa ij ,d

izR;korhZ oksYVst V = V0 sin t dk lzksr tksM+k tkrk

gSA ;g fn;k x;k gS fd R = C1

gSA f'k[kj /kkjk 0 gSA

;fn oksYVst lzksr dh dks.kh; vkofÙk cnydj 3

dj

nh tkrh gS (R o C d ks fu;r j[krs gq;s) rks ifjiFk

esa ubZ f'k[kj /kkjk gksxh &

(1) 20

(2) 20

(3) 30

(4) 30




20. vxj ge ekus fd fd lh fofd j.k@d .k d h Hksnu

{kerk d .k d s rjax nS/;Z d s O;qRØ ekuqikrh gS rks &

(1) leku foHkokUrj ls Rofjr gksus d s ckn ,d

izksVkWu rFkk ,d -d .k d h Hksnu {kerk leku gksxhA

(2) -d .k d h Hksnu {kerk izksVkWu ls vf/kd gksxh]

ft ls leku foHkokUrj ls Rofjr fd ;k x;k gSA

(3) izksVkWu dh Hksnu {kerk ml bySDVªkWu dh Hksnu {kerk

ls de gksxh tks fd leku foHkokUrj ls Rofjr fd;k

x;k gSA

(4) Hksnu {kerk d h rqyuk ugha d j ld rs D;ksafd ;s

rhuksa d.k rjax izd fr iznf'kZr ugha d jrs ;k bud h

d ksbZ rjax nS/;Z ugha gksrh gSaA

21. izdk'k oS/kqr izHkko iz;ksx esa fofdj.k vkofr esa ifjorZu

ls fujks/kh foHko 30 oksYV ls ifjofrZr gksrk gSA vkofr

ifjorZu dk ifjek.k gksxkA (h = 6 × 10�34 J-s)

(1) 4 × 10�15 s�1

(2) 8 × 1015 s�1

(3) 1016 s�1

(4) 18 × 1015 s�1

22. ,d inkFkZ ds nks leLFkkfud X o Y dh v)Zvk;q Øe'k%

2 × 109 o"kZ rFkk 4 × 109 o"kZ gSA ;fn ,d xzg bu

leLFkkfudksadh leku la[;k ls cuk gS rks xzg dh orZeku

vk;q D;k gS \ fn;k gS bl le; inkFkZ esa X dh la[;k

20% o Y dh 80% gS -

(1) 2 × 109 years

(2) 4 × 109 years

(3) 6 × 109 years

(4) 8 × 109 years

23. fp=k esa ,d vukosf'kr la/kkfjr d ks ,d vkn'kZ csVªh

rFkk izfrjks/k R d s Js.kh Ø e esa t ksM+k x;k gSA t = 0

ij fLop Sw d ks pkyw fd ;k t krk gSA ;g ik;k x;k

gS fd tc la/kfj=k ij vkos'k blds vf/kdre eku dk

75% gS rks ifjiFk esa /kkjk 1A gSA R d h x.kuk

d hft ;sA

20V

Sw

1µF

R

(1) 1

(2) 10

(3) 5

(4) Kkr ugha dj ld rs gSA

mailto:[email protected]



24. lh/kh js[kk esa xfr d j jgs ,d d.k d s osx v d k

ifjek.k v2 = 12 � 3x2 }kjk fn;k x;k gS] t gk¡ v osx

m/s esa] o x ehVj esa gSA d .k d s nksyu d k vk;ke

ehVj esa Kkr d hft ;sA

(1) 1m

(2) 2m

(3) 4m

(4) 12 m

25. vf/kdrj Bksl çnkFkksZ dh fof'k"V Å "ek fuEu rki ls

ije rki T rd çnf'kZr xzkQ ds vuqlkj ifjofrZr gksrh

gS rks Bksl çnkFkZ ds ,dkad nzO;eku dk rki T = 0 ls

T = 30 K rd c<+kus esa vko';d Å "ek gksxh :

(1) 3300 J

(2) 3900 J

(3) 3450 J

(4) 3150 J

26. jLlh esa mRiUu vizxkeh rjax ds nks Ø ekxr J axksa d s

e/; nwjh x gSA vxj vizxkeh rjax d h vkofÙk d ks

vifjofrZr j[kd j ruko d ks nksxquk d j fn;k t k,

rks Ø ekxr J axksa d s e/; u;h nwjh gksxh &

(1) 2/x

(2) x2

(3) x/2

(4) 2x

27. 600 uSuksehVj (nm) rjaxnS/;Z izdk'k okys ;ax f}fNnz

midj.k ls O;frdj.k fÝUts izkIr dh tkrh gS tks fd

,d nwljs ls 0.25º nwjh ij gSaA vxj izd k'k d h

rjaxnS/;Z dks cnyd j d ks.kh; foLFkkiUu d ks 0.3º

rd c<+k;k tk, rks u;h rjaxnS/;Z gksuh pkfg, &

(1) 480 nm

(2) 540 nm

(3) 720 nm

(4) 840 nm.

[k.M- II

dkj.k çdkj

bl [k.M esa 3 dkj.k çdkj ds ç'u gSA çR;sd ç'u ds

4 fodYi (1), (2), (3),rFkk (4) gS, ftuesa ls flQZ ,d

lgh gSA



28. oDrO;�1 : ,d fo|qr ifjiFk izsjd dq.Myh] izfrjks/k

fLop rFkk Js.khØe esa tqM+s lsyksa ls cuk gqvk gSA tc

yEcs le; ls cUn iM+s fLop dks [kksyk tkrk gS rks

LQqfyax (sparking) ugh gksxhA fdUrq ;fn yEcs le;

ls [kqys iM+s fLop dks cUn fd;k tkrk gS rks LQqfyax gks

ldrh gSA

oDrO;�2 : nh xbZ fLFkfr;ksa esa ifjiFk esa izsjd dq.Myh

ml fLFkfr;ksa d ks O;ofLFkr d jus d h izofÙk j[krh gS

t ks ifjiFk d h fLFkfr esa ifjorZu d jus ls igys

mifLFkr Fkh rFkk LQqfyax dk vFkZ gS fd ok;q esa /kkjk

izokfgr gksrh gSA

(1) oDrO;-1 lR; gS, oDrO;-2 lR; gS; oDrO;-2

oDrO; -1 dk lgh Li"Vhdj.k gSA

(2) oDrO;-1 lR; gS, oDrO;-2 lR; gS ; oDrO;-2

oDrO;-1 dk lgh Li"Vhdj.k ugha gSA

(3) oDrO; -1 lR; gS, oDrO;-2 vlR; gSA

(4) oDrO; -1 vlR; gS , oDrO;-2 lR; gSA


29. oDrO;-1: ikuh esa fLFkr ,d ok;q dk cqycqyk izdk'k

vilfjr djrk gSA

oDrO;-2: ,d ySUl vilkjh ySUl gksxk ;fn ml ij

vkifrr izdk'k viorZu ds i'pkr vilfjr (diverges)

gks rFkk viorZu ds i'pkr okLro esa u feysA

(1) oDrO;-1 lR; gS] oDrO;-2 lR; gS ; oDrO;-2,

oDrO;-1 dk lgh Li"Vhdj.k gSA



(3) oDrO;-1 lR; gS] oDrO;-2 vlR; gSA

(4) oDrO;-1 vlR; gS] oDrO;-2 lR; gSA

30. oDrO;-1: ;fn AND }kjd dk fuxZr ladsr OR }kjd

esa fuos'khr fd;k tk;s rks ;g NOR }kjd dgyk;sxkA

oDrO;-2: ;fn AND }kjd dk fuxZr ladsr NOT

}kjd esa fuos'khr fd;k tk;s rks ;g NAND }kjd

dgyk;sxkA







RESONANCE AIOTXII/XIII260212C4 - 10


PART- B

[k.M- I


bl [k.M esa 25 iz'u gSaA izR;sd iz'u ds 4 fodYi (1),

(2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d lgh gSA

31. 6 yMdksa rFkk 6 yMfd;kssa esa ls de ls de 2 O;fDr bl

rjg pquus gS fd lewg esa de ls de ,d yMdk o ,d

yMdh vo'; jgs&

(1) 212 � 27 � 35 (2) 36

(3) 212 � 13 (4) 212 � 27 + 1

32. ?kuh; gkWy ABCDPQRS ftldk vk/kkj ABCD gS

rFkk laxr Å ijh Qyd PQRS gS ftldh izR;sd Hkqtk

10 bdkbZ gSA nhokj BCRQ dk dsUnz G gS rFkk AB dk

e/; fcUnq T gSA fcUnq T ij G dk mUu;u dks.k gS&

(1) sin�1

3

1(2) cos�1

3

1

(3) tan�1

3

1(4) cot�1

3

1

33. fcUnq (1, 2) ls fudyus okyh fdj.k x-v{k ij fcUnq A

ls ijkofrZr gksrh gS] rc fcUnq (5, 3) ls xqtjrh gSA

fcUnq A ds funsZ'kkad gS&

(1)

0,

513

(2)

0,

135

(3) (�7, 0)

(4) buesa ls dksbZ ugha

34. ;fn fcUnqvksa (5, 1, a) rFkk (3, b, 1) ls xqtjus okyh

js[kk yz-ry dks fcUnq

213�

,2

17,0 ij feyrk gSA

rc]

(1) a = 2, b = 8

(2) a = 4, b = 6

(3) a = 6, b = 4

(4) a = 8, b = 2



35. ;fn f(x) ,d n ?kkr dk cgqinh; Qyu gS tks fd ,d

lehdj.k f(x) f(2x) = xf(3x) dks larq"V djrk gS] rc

f(x) gS&

(1) ,dSdh

(2) cgq,dSdh

(3) ,dSdh vkPNknd

(4) vkPNknd

36.

66 sincos

d2tan cjkcj gS&

(1) n

2cos2cos311 2

+ c

(2) n

2cos2cos31 2

+ c

(3) n

2sin2cos321 2

+ c


37. dxxsin

x37sin

0

dk eku gS&

(1)

(2) 0

(3) /2

(4) 37

38. ;fn oØ y = 1 + 2x�4 vkSj js[kk

y = (x � 2) k + 4 nks fofHkUu fcUnqvksa ij izfrPNsn djrs

gS] rks k dk ifjlj gS&

(1) [1, 3]

(2)

,

125

(3)

43

,125

(4)

43

,125



39. ;fn [x] egÙke iw.kk±d Qyu dks iznf'kZr djrk gS tks

x ds cjkcj ;k NksVk gS rFkk {x} fHkUukRed Hkkx Qyu

gS rc x ds okLrfod ekuksa dh la[;k tks fd lehdj.k

(x � 2) [x] = {x} � 1 dks larq"V djrs gS&

(1) 0

(2) 1

(3) 2


40. ;fn , lehdj.k x2 � 4x � 3 = 0 ds ewy gS rFkk

sn = n + n, n N rc 5

67

s

s4�sdk eku gS&

(1) 3

(2) 4

(3) 5

(4) 7

41. ;fn f(x) = xtanxtan

gS] rc

(1) 0x

lim

f(x) fo|eku ugha gSA

(2)

2x

lim

f(x) fo|eku gSA

(3) f(x) ewyHkwr vkoZrdky j[krk gSA

(4) lHkh lR; gSA

42. tc 3.1351 dks 15 ls foHkkftr fd;k tkrk gS rks

'ks"kQy gS&

(1) 3

(2) 2

(3) 1

(4) 6



43. sin310° + sin350° � sin370° dk eku gS&

(1) 0

(2) 5/8

(3) � 3/8

(4) � 5/8

44. ekuk x > �1 rc dFku p(n) : (1 + x)n > 1 + nx tgk¡

n N ds fy, lR; gS&

(1) lHkh n N

(2) lHkh n > 1

(3) lHkh n > 1 tcfd x 0

(4) lHkh n > 2

45. ekuk f : R R ,d lrr~ rFkk vkPNknd Qyu gS tks

fd f(x) + f(�x) = 0 x R dks larq"V djrs gSA ;fn

f(�3) = 2 rFkk f(5) = 4 gS] rc lehdj.k f(x) = 0

j[krh gS&

(1) Bhd rhu okLrfod gy

(2) Bhd nks okLrfod gy

(3) de ls de ik¡p okLrfod gy

(4) de ls de rhu okLrfod gy

46. js[kk

x + y = sin�1(a6 + 1) + cos�1(a4

+ 1) � tan�1(a2 + 1),

a R dk x-v{k ds lkis{k izfrfcEc gS&

(1) x � y = 0

(2) x � y = /2

(3) x � y =

(4) x � y = /4



47. fuEu esa dkSulk osu&vkjs[k leqPp; efgyk,a] ekrk,a]

fpfdRldksa ds fy, lcls vf/kd mi;qDr gS&

(1) (2)

(3) (4)

48. ekuk g(x) = f(x) sin x tgk¡ f(x) nks ckj vodyuh;

Qyu (�, ) esa bl izdkj gS fd f(�) = 1 rc

g(�) cjkcj gS&

(1) 1

(2) 2

(3) � 2

(4) 0

49.

a

yx

tsina

y

tsin

0xdte�dte

x1

lim22

cjkcj gS&

(1) 1

(2) 0

(3) ysin2e

(4) sin2y. ysin2e

50. ekuk A lHkh 4 × 4 fo"ke lefer vkO;wg gS tks fd

�1, 0 ;k 1 izos'kkad ysdj cus gSA ;fn ogk¡ Bhd pkj

'0', N% '1' rFkk N% '�1' gS] rc vkO;wg dh la[;k bl

izdkj gS&

(1) 64

(2) 32

(3) 0

(4) 16



51. ;fn f(x), [0, 1] esa lrr~ , (0, 1) esa vodyuh; bl

izdkj gS fd f(1) = 0 gS] rc ogk¡ dqN c (0, 1) bl

rjg gS fd

(1) cf(c) � f(c) = 0

(2) f(c) + cf(c) = 0

(3) f(c) � cf(c) = 0

(4) cf(c) + f(c) = 0

52. ;fn Qyu f : R R esa bl izdkj ifjHkkf"kr gS fd

f(x) = ax

a�x2

2

, 0 < a < 9 rc fuEu esa ls dkSulk

vlR; gS&

(1) f(x) dk ifjlj [�1, 1) gSA

(2) x = 0 ij f(x) fufEu"V j[krk gSA

(3) lehdj.k f(x) = 0 ds ewyksa dk fujis{k vUrj 6 ls

vf/kd ugha gks ldrkA

(4) oØ y = f(x), x 3,3� ds fy, vory gSA

53. ,d chek dEiuh] yksxksa dks nks Jsf.k;ksa esa foHkDr ekurh

gS] igys oks ftudh nq?kZVuk gqbZ gS vkSj nwljs oks ftudh

nq?kZVuk ugha gqbZ gSA muds vuqlkj igyh Js.kh ds

O;fDr;ksa ds izfro"kZ nq?kZVuk xzLr gksus dh izkf;drk 0.4

gksrh gS tcfd nwljh Js.kh ds yksxksa ds fy, ;g 0.2

gksrh gSA ;fn ;g fn;k x;k gS fd dqy 30 % yksx

igyh Js.kh esa vkrs gS rks u;s chek /kkjd ds chek

djokus ds ckn Bhd ,d o"kZ esa nq?kZVukxzLr gksus dh

izkf;drk gksxh&

(1) 0.74 (2) 0.28

(3) 0.34 (4) 0.66

54. ;fn A = {z : |z � 2 � 2i| = |z � 6 � 6i|,

B = {z : arg(z � 4 � 4i) = /4}, Re(z) = a,

Im(z) = b, a N, b N, a 6, b 6 gS] rks

(1) n(A B) = 7

(2) n(A B) = 1

(3) A B

(4) B A



55. 2×2 Øe ds vUrZoyuh; oxZ vkO;wgksa ds leqPp; ij

ifjHkkf"kr lEcU/k R gSA ;fn A vkSj B nks vkO;wg bl

izdkj gS rc lEcU/k R, bl izdkj ifjHkkf"kr gS fd

(A, B) R (AB)T = ATBT ] rc lEcU/k R gS&

(1) LorqY; dsoy

(2) LorqY; vkSj lefer

(3) laØked dsoy

(4) rqY;rk

[k.M - II

dkj.k&izdkj

bl [k.M esa 5 dkj.k ds ç'u gSA çR;sd ç'u ds 4

fodYi (1), (2), (3) rFkk (4) gS] ftlesa ls flQZ ,d

lgh gSA

56. oDrO;-1 : oØ xy = 25 rFkk x2 � y2 = 16 ijLij

90° ij izfrPNsn djrs gSA

oDrO;-2 : oØ x2 � y2 = a2 dk ykfEcd iFk

(orthogonal trajectory) oØ xy = c gksxkA







57. oDrO;-1 : ~ (p ~q), O;atd (pv ~q) (~pvq)

ds rqY; gSA

oDrO;-2 : ~(p q), O;atd (p ~q) (~pq)

ds rqY; gSA







58. oDrO;-1 : ijoy;ksa ds fcUnq (1, 2) rFkk (3, 4) ij

[khaph xbZ Li'kZ js[kk;sa fcUnq (�2, �3) ij izfrPNsfnr

gksrh gSA ijoy; dh v{k dh izo.krk 23

gSA

oDrO;-2 : ijoy; ds fdlh ukfHk; thok ds fljksa ij

[khaph xbZ Li'kZ js[kkvksa rFkk vfHkyEcksa ds izfrPNsn

fcUnqvksa dks feykus okyh js[kk ijoy; dh v{k ds

lekUrj gksrh gSA









59. ;fn d,c,b,a v'kwU; lfn'k gks vkSj a

,oa b

lajs[kh;

ugh gS rFkk ba

× dc

= 0

, rks

oDrO;-1 : lfn'k c,b,a leryh; gSA

oDrO;-2 : byax

= 0

x = 0 vkSj y = 0.







60. oDrO;-1 : ekuk nh?kZoÙk dh fu;rk ij P dksbZ fcUnq gS]

rc fcUnq P ds lkis{k nh?kZoÙk ,oa lgk;d oÙk dh Li'kZ

thok,a mldh laxr ukfHk ij izfrPNsn djsxhA

oDrO;-2 : js[kk,a L1 = 0 vkSj L2 = 0 ds izfrPNsn

fcUnqvksa ls xqtjus okyh js[kkvksa ds fudk; dk lehdj.k

L1 + L2 = 0 gSA








RESONANCE AIOTXII260212C4 - 18


bl [k.M esa 30 iz'u gSaA izR;sd iz'u ds 4 fodYi (1),

(2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d lgh gSA

61. ;fn 298 K ij, 0.05 M BaCl2 (iw.kZr% fo;ksftr) esa AgCl

dh foys;rk 10�9 M tds cgqr utnhd ikbZ xbZ rFkk

V80.0Ag/Ag0E gSA rc l eku rki ij

Ag/AgCl/Cl0E dk eku gksxk

(1) 1.39 V (2) 0.8295 V

(3) �0.7705 V (4) 0.21 V

62. M(OH)x ds fy, K

sp = 4 x 1012 ,oe~ foys;rk 104M

gSaA vr% x gSa %

(1) 1 (2) 2

(3) 3 (4) 4

PART - C

Atomic masses : [H = 1, D = 2, Li = 7, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, Si = 28,

P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40, Cr = 52, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65, As = 75,

Br = 80, Ag = 108, I = 127, Ba = 137, Hg = 200, Pb = 207]

63. MnO4¯ ¼vEyh; ek/;e esa½ dk 0.1 M iw.kZ :i ls vkWDlhdr

ughs fd;k tk ldrk gSaA ;g ekudj fd vipk;d dk

vk;ru] MnO4¯ foy;u ds leku gSa½

(1) 0.25 M C2O

42� vkWDlhd r djrk gSA

(2) 0.5 M Fe2+ vkWDlhd r djrk gSA

(3) 0.166 M FeC2O

4 vkWDlhd r djrk gSA

(4) 0.6M Cr2O

72� vkWDlhd r djrk gSA

64. cksjsDl blds xyukad ls Å ij izcy :i ls xeZ djus ij

nzo esa ifjofrZr gks tkrk gS] tks fd Bksl ikjn'khZ nzO;eku

tks fd lekU;r% cksjsDl eudk ds :i esa tkuk tkrk gS] esa

ifjofrZr gks tkrk gSA ikjn'khZ dk¡p tSlk nzO;eku fuEu

dk cuk gksrk gS %

(1) lksfM;e ik;jkscksjsV

(2) cksfjd ,ugkbMªkbM

(3) lksfM;e esVkcksjsV

(4) cksfjd ,ugkbMªkbM o lksfM;e esVkcksjsV



65. 1 yhVj ik=k esa NO2(g) rFkk N2O4(g) ds leku eksy ds

lkFk lkE; LFkkfir gksrk gSA

N2O4(g) 2NO2(g), lkE; ij Mavg. = 3

184, rks

KC rFkk izkjfEHkd dqy eksyksa dh la[;k dk vuqikr gS %

(1) 3 (2) 3/2

(3) 27/4 (4) 6

66. esFksu (CH4) (g) ,oe~ ,Fksu (C2H6)(g) ds fo?kVu dh

,UFkSYih Øe'k% 400 rFkk 670 kJ. mol�1 gS] kJmol�1 esa

HC�C

dk eku gSA

(1) 270 (2) 70

(3) 200 (4) 240 mol

67. 10Cl� (aq) + 2MnO4� (aq) + 16H+ (aq)

5Cl2(g) + 2Mn2+(aq) + 8H

2O()

25ºC rki ij mijksDr vfHkfØ;k ds fy, Eº dk eku

0.15V gSA vr%] bl vfHkfØ;k ds fy, K dk eku gS %

(1) 2.4 × 1025

(2) 4.9 × 1012

(3) 1.2 × 1015

(4) 3.4 × 1020

68. fuEu esa ls dkSulk Øe lgh gS \

(1) F2 > Cl

2 > Br

2 > I

2 (vipk;d {kerk)

(2) Cl2 < F

2 < Br

2 < I

2 (fØ;k'khyrk)

(3) l2 > Br

2 > F

2 > Cl

2 (cU/k yEckbZ)

(4) Cl2 > Br

2 > F

2 > I

2 (cU/k fo;kstu ,UFkSYih)

69. fuEu esa ls dkSulk dFku A = [Co(en)2Cl

2]+ rFkk B =

[Co(NH3)

4Cl

2]+ ds fo"k; esa vlR; gS \

(1) A, B dh vis{kk Å "ekxfrdh; :i ls vf/kd LFkk;h gSA

(2) A izdkf'kd leko;ork n'kkZrk gSA

(3) A rFkk B nksuksa izfrpqEcdh; gSA

(4) A ,d ckâ; d{kd ladqy gS tcfd B vkUrfjd d{kd

ladqy gSA

70. fuEu esa ls dkSulk dFku lgh ugha gS %

(1) ukbfVªd vkWDlkbM Å ijh ok;qe.My esa mifLFkr vkstksu

ijr dks uqdlku igqpk¡rk gSA

(2) O3 ,d 'kfDr'kkyh vkWDlhdkjd inkFkZ gSA

(3) H2Te ls H

2O rd vEyh; lkeF;Z c<+rh gSA

(4) SO2 vipk;d gS tcfd TeO

2 vkWDlhdkjd gSA



71. PCl5 Bksl voLFkk esa vk;fud Bksl [PCl

4]+ [PCl

6]+ ds :i

esa ik;k tkrk gS] blesa /kuk;u ,oe~ _ .kk;u dh ladj.k

voLFkk Øe'k% gS %

(1) dsp2 , sp3d2

(2) sp3 , sp3d2

(3) sp3d2 , sp3

(4) sp3d2 , dsp2

72. fuEu esa ls dkSulk lgh Øe gS %

(1) SbH3 < NH

3 < AsH

3 < PH

3 (DoFkukad fcUnq)

(2) N�H < P�H < As�H < Sb�H (ca/k fo;kstu ,UFkSYih)

(3) NH3 > PH

3 > AsH

3 > SbH

3 > BiH

3(rkih; LFkk;hRo)

(4) Sb2O

5 > As

2O

5 > P

2O

5 > N

2O

5 (vEyh; lkeF;Z)

73. ik;jksQkWLQksfjd vEy esa fdrus P�OH cU/k mifLFkr gksrs

gS %

(1) nks (2) rhu

(3) pkj (4) ,d

74. 100 g ty esa] 1 g ,d{kkjh; vEy fgekad dks 0.168°C ls

voufer djrk gSA ;fn leku vEy ds 0.2 g ds iw.kZ

mnklhuhdj.k ds fy, 10N

{kkjh; foy;u ds 15 ml

vko';d gSa] rc vEy dh fo;kstu dh ek=kk yxHkx gSA

(H2O ds fy, K

f = 1.86 K Kg mol�1)

(1) 20% (2) 30%

(3) 40% (4) 50%

75. Na+ o Br� vk;uksa d s fy, vk;fud f=kT;k Ø e'k%

1.012Å o 1.973 Å gSaA f=kT;k vuqikr

rr

d s vk/kkj

ij Na+ d h leU;o la[;k D;k gksxh %

(1) 6 (2) 8

(3) 4 (4) 2

76. izFke dksfV vfHkfØ;k A(g) 2B(g) + C(s), t1/2

= 24

min ds fy,] vfHkfØ;k dks ,d ik=k esa j[ks gq, A ds

fuf'pr nzO;eku ds fy, ftlesa fd ;g 400mm Hg rd

nkc yxkrk gSaA 48 fefuV dh lekfIr ds i'pkr vfHkfØ;k

feJ.k nkc fuEu gksxk %

(1) 700 mm (2) 600 mm

(3) 800mm (4) 1000 mm



77. ,d vkn'kZ foy;u cukus ds fy, ,d fuf'pr vuqikr esa

T rkieku ij nks nzO;ksa A ,oe~ B dks fefJr fd;k x;kA

;g Kkr gqvk dh A dk vkaf'kd ok"i nkc vFkkZr~ pA nzO;

feJ.k ds fy, B ds ok"i nkc ds cjkcj gSaA pA0 rFkk pB

0

ds inksa esa nzO; feJ.k dk dqy ok"i nkc D;k gSa \

(1) 0B

0A

0B

0A

pp

pp

(2) 0

B0A

0B

0A

pp

pp2

(3) 0B

0A

0A

pp

p

(4) 0

B0A

0B

pp

p2

78. Q Qksysnkj dkWij* dks 'kksf/kr djus ds fy, bldks HkV~Vh

esa xyk;k tkrk gSa ,oe~ ydM+h ds gjs yV~Bs ds lkFk

fgyk;k tkrk gaSA bldk m)s'; fuEu gSa&

(1) QQksysnkj dkWij esa ?kqyh xSl dks fudkyukA

(2) ydM+h ds yV~Bs ls fudyus okyh gkbMªksdkcZu xSlksa ds

}kjk /kkfRod vkWDlkbM v'kqf);ksa dks vipf;r djus

esa

. (3) lrg ij v'kqf) dks ykdj vkWDlhd r djukA

(4) dkWij esa dkcZu vo;o dh of) djukA

79. ,d d kcZfud ;kSfxd �X� fuEu iz;ksx'kkyk ifj{k.k nsrk

gS

(i) ;g VkWysu vfHkd eZd d s lkFk lQsn vo{ksi nsrk gS

(ii) ;g /kukRed vk;ksMksQkeZ ifj{k.k nsrk gS

(iii) ;g 5 feuV esa Y;wd kl ifj{k.k nsrk gS

'X' gks ld rk gSA

(1)

(2)

(3)

(4) d ksbZ Hkh ugha

80.nh xbZ vfHkfØ ;k esa X rFkk Y mRikn vuqekfur gSA



(1) X = Y = 233

3

)CH(CCHCH||OCHOH

(2) X = Y = 233

3

)CH(CCHCH||OHOCH

(3) X = 233

3

)CH(CCHCH||OCHOH

,

Y = 233

3

)CH(CCHCH||OHOCH

(4) X =

OH|

)CH(CCHCH|OCH

233

3

,

Y =

3

233

OCH|

)CH(CCHCH|OH

81. DyksjkscSUthu ls Dyksjhu ds izfrLFkkiu ls fQukWy cukus ds

fy, vR;ar Hk;kud ifjfLFkfr dh vko';drk gksrh gS

ysfdu 2, 4-MkbZukbVªksDyksjkscSUthu ls Dyksjhu dk izfrLFkkiu

cgqr tYnh gks tkrk gS] D;ksa

(1) NO2 oy; dks vkWFkhZ vkSj iSjk fLFkfr ij bysDVªksu /kuh

cukrk gSA

(2) NO2 esVk&fLFkfr ls bysDVªksu [khap ysrk gSA

(3) NO2 esVk&fLFkfr dks bysDVªksu nsrk gSA

(4) NO2 vkWFkksZ vkSj iSjk fLFkfr ls bySDVªkWu [khap ysrk gSA

82. P

P d kSulk gS %

(1) (2)

(3) (4)

83. Xywd ksl CH3OH d s lkFk vfHkfØ ;k d j cukrk gSA

(1) eSfFky Xykbd kslkbM

(2) ,fFky Xykbd kslkbM

(3) Xywd ksfud vEy d k esfFky ,LVj

(4) Xywd sfjd vEy d k esfFky ,LVj



84. SN

2 dh nj dk ?kVrk gqvk Øe gSA

Br � CH2 � CH

2 � Br N C � CH

2 � Br

(I) (II)

Br|

CHCHCH 33 CH3 � CH

2 � Br

(III) (IV)

(1) II > I > IV > III (2) II > III > I > IV

(3) II > I > III > IV (4) IV > I > II > III

85. CH3CHO + HCHO(vkf/kD;)

NaOH (P)

+ HCOONa

mRikn 'P' gS %

(1) CH3CH

2OH (2)

OH|

OHCHCH 22

(3)

(4)

OH|

OHCHCHCH 222

86. fuEu esa ls dkSu 'kh?kzrk ls tyh; NaOH foy;u ds }kjk

tyvi?kfVr gSA

(1)

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

�

COCl

(2)

�

COBr

(3)

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

�

COF

(4)

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

�

COI

87. fdl vfHkfØ;k esa mRikn T;kfefr; leko;oh;ksa dk feJ.k

gksxk %

(1) PhCHO NaOH/HCN

(2) PhCHO OHNH/AgNO 43

(3) PhCHO AcONa/OAc 2

(4) PhCHO-HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH -HCHO/OH

88. fuEu esa ls dkSu vipf;r dkcksZgkbMªsV ugha gS

(1) Xyqdksl (2) ÝDVksl

(3) lqØksl (4) bjhFkzksl



89. fuEu vfHkfØ ;k Ø e d s fy, mRikn (T) vuqekfur gSA

C6H

5�CH=O R S

TT

(1) flusfed vEy

(2) esUMsfyd vEy

(3) cSUt hfyd vEy

(4) cSUt kWbd vEy vkSj csfUt y ,Yd ksgy

90. fuEu cgqyd ds ckjs esa lgh dFku gS %

(i) ;g ,dyd CH2=CH�CH=CH

2 + CH

2=CH�CN

ls cuk gSA

(ii) ;g lgcgqyd gSA

(iii) ;g ;ksxkRed cgqyd gSA

(1) i, ii (2) iii

(3) ii (4) (i), (ii) & (iii)

test paper hindi

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