JEE Main 2019 Physics April Attempt Shift - 2(12th April, 2019)

PDPM^-4 ((N.M./N. R RMCJ.)

FMM (Edhg) >048 CIEP]RM^ NDSMB RMSR (CNR)

Tumsthigs & Siauthigs Bdtm6 4 4> D Dprha, > >048 ((SJHLR->) | | R RHEM6 0>.30 P.E. ti 0=.30 P.E.

Burdthig6 3 3 J Jiurs | | E Edx. E Edros6 3 3<0 S]NFMCR6 P PJXSHCS

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^msigdgcm Mbuvmgturms Atb. ^mkhstmrmb & Cirpirdtm Illhcm6 CK Riwmr, D-2< & =>, HPHD, Gmdr Chty Edaa, Fjdadwdr îdb, Oitd (^df.)-3>200= Rma.Gi.6 0;22-<<0;;;;, 304>400, 304>>>>, <<3==== | Riaa Lrmm6 4:00 >=: ==== | Ldx6 +84-0>>-384<;>>> +84-0>>-384 <;>>> | 0:003 222 ::: [mnshtm6 www.rmsigdgcm.dc.hg | M-edha6 [email protected] M-edha6 [email protected] | CHG6 ]:030>^F>00;PAC0>20>8

| FMM (EDHG) >048 | BDRM 6 4>-02->048 (SJHLR->) | PDPM^-4 | ILLHCHDA PDPM^ | PJXSHCS

PD^R 6 PJXSHCS 4.

D trdgspdrmgt cunm il shbm b, edbm il d edtmrhda il rmlrdcthvm hgbmx >, hs heemrsmb hg d ahquhb il rmlrdcthvm hgbmx 4(41>). D rdy hs hgchbmgt ig tjm ldcm DN dt dg dgkam (sjiwg hg tjm lhkurm). Ritda hgtmrgda rmlamcthig tdoms padcm dt pihgt M ig tjm ldcm NC. vhirVuodb 4 bs ,b ìi msd vhirVuodb >(41>) bs hofg'ojV xq\bs bos Eq Eqco?o toro kSD hz bo'o bj ,b lbf.o na xq\bs bs h`"N DN hf ìi as lp5oouq lp 5oouqaofU  bos.o hf vohlrr kosrj kSD kS D h`"N NC bs lc]gq M hf hw.oV vo]rlfb hfoirVu

kosus bs ly?sU N



M

C





4

D

B

Rjmg  eust sdthsly 6  bo

mou boSu ao aMc]/o a]rq "\ bfsxo Q

(4)   sh g

 >> – 4 4>

4

–

4

–

(3)   sh g Dgs. Sia.

(>)   sh g

4

–

4 >

(2)   shg

4

–

 >> – 4 4> 4 >

(4)

4shg 5 >shgr 4 80 – r 4 7 C shg(80 – r 4) 7 shg c

cis r 4 7 shg c cisr 4 7

4 > >

  sh g     4 4   4 >   >  > > 4  4> sh g >   4> > >



 >>  4> 7 shg> > 4

>

  sh g

4

  >     4  4 

^msigdgcm M Mbuvmgtur ms A Atb. Cirp. & ^mk. Illhcm6 CK Riwmr, D-2< & =>, HPHD, Gmdr Gmdr Chty Edaa, Fjdadwdr Fjdadwdr îdb, Oitd (^df.) - 3>200= Pj.Gi. 6 +84-;22-304>>>>, <<3==== | LDZ Gi. 6 +84-0>>-384<;>>> 6 +84-0>>-384<;>>> Ri Ogiw eirm 6

^MSI dt =<<;; | [mnshtm 6 www.rmsigdgcm.dc.hg | M-edha 6 [email protected] | CHG 6 ]:030>^F>00;PAC0>20>8


>.

D sprhgk wjism ugscrdtcjmb amgktj hs a jds d lircm cigstdgt o. Rjm sprhgk hs cut hgti twi phmcms il ugstrmtcjmb amgktj a 4 dgb a > wjmrm a 4 5 g a > dgb g hs dg hgtmkmr. Rjm rdthi o4 / o> il tjm cirrmspigbhgk lircm cigstdgts, o4 dgb o> whaa nm – ,b lAhz x d bj Aird5o yMconV a rLoo cy lu?rodb o kSD nas bo\bf a 4 rLoo a > Aird5o yMconV bj gos lAhzdxosd msd co¡\rs kS kSdD lu?rodbosd o4 rLoo o> bo bo vuqhor o4 / o> kos kosxo a 4 5 g a > kSU tko¡ g ,b hw.oo´b kSD nuas aMc) cy lu?rod (4) g

(>)

Dgs.

(>)

Sia.

o44 5 o>> 5 o o4 o>

3.

>



4

5

>

g



>

4

(3) g>

g

(2)

4 g>

4 g

Lhkurm sjiws d BC viatdkm rmkuadtir chrcuht, whtj d Vmgmr bhibm il nrmdobiwg viatdkm 5 <\. Hl tjm ugrmkuadtmb hgput viatdkm vdrhms nmtwmmg 40 \ ti 4<\, tjmg wjdt hs tjm edxheue Vmgmr currmgt9 lp5o msd Jodtu ios X\ro 5 <\ bs tsuf Eo?osE as cuo?o li|qr lu?d5ob hlfhLo lg_oo?o x?o kS D ?lg vlu?dl5or luisl'or liJoi 40 \ rLoo 4<\ bs cjp cgyro kS ros tsuf Eo?os Eo?osE msd vl/obrm /oofo bo mou kosxo% HS

^S 5 >o

HV

Â 5 2o

(4) 4.= eD Dgs. Sia.

(>) ;.= eD

(3) 3.= eD

(2) >.= eD

(3)

h4 5

< 2

5 4.= eD

Edxheue currmgt whaa nm intdhgmb lir ndttmry viatdkm 4<\ h5

4<  < 5 =eD >

hz (edx) 5 = – 4.= 5 3.= eD




2.

Rwi pdrthcams drm prifmctmb lire tjm sdem pihgt whtj tjm sdem spmmb u sucj tjdt tjmy jdvm tjm sdem rdgkm ^, nut bhllmrmgt edxheue jmhkjts, j4 dgb j>. [jhcj il tjm liaaiwhgk hs cirrmct9 cirr mct9 gos b.oosd bos bos ,b kj lc]gq as as ,b kj poy u as hz{oslhr lb?o tro kS ltaas eubj hfoa ^ cfocf kSd lb]rq vl/obrm vl/obrm

Í¡pon?o¡ j4 rLoo j> lJo]u kSDd luMu msd as a^? bLou pq lu?sD (4) ^> 5 > j4j> (3) ^> 5 2 j4j>

(>) ^> 5 4 (2) ^> 5 j4j>

Dgs.

(>)

Sia.

^ hs sdem lir  dgb (80 – ) dgkam il prifmcthig ^5

>u > sh g  cis  u > shg >  u > cis >  , j4 5 ? j> 5 k >k >k

^> 5

2u > shg >  u > cis>  k k

^> 5 2.>j4 >j> ^> 5 4< j4 j> =.

Rjm guenmr bmgshty il eiamcuams il d kds bmpmgbs ig tjmhr bhstdgcm r lrie tjm irhkhg ds, –

g(r) 5 g0 m

r 2

. Rjmg tjm titda guenmr il eiamcuams hs pripirthigda ti6

,b xSa bs v.oqvosd bo ad_?o 9ouî mwy lc]gq as gwfj r hf luMu 1+dx as luJoVf kSU g(r) 5

2 g0 m r –

D ros na xS a bs

v.oqvosd bj bqy ad_?o lbabs amouq horj kosxj Q (4) g0 4/ 2

3/2

–

(>) g0 

Dgs.

(>)

Sia.

(r)(2r >br)  g0 –3/2 Ritda eiamcuam 5  g(r)(2

(3) g0 

3

–

(2)

g 0 4 / >

 0

<.

D bhdtiehc kds whtj rhkhb eiamcuams bims 40 F il wiro wjmg mxpmgbmb dt cigstdgt prmssurm. [jdt wiuab nm tjm jmdt mgmrky dnsirnmb ny tjm kds, hg tjhs pricmss9 ,b g`1+ v.oqvosd ioyj l}hfmo.oqb xSa bo tc lu?r goc hf hzaof kosro kS ros ik 40 F bo?V bfrj kSD na hzÚm msd

xSa }ofo vi'oosl"or "or Í"mo bo mou kosxo 9 (4) 3=F Dgs.

(4)

Sia.

T 5

;.

(>) >=F

(3) 30F

(2) 20F

;  l    4 g^R 5 Û 40 5 3=F >  > 

Amt d titda cjdrkm >T nm bhstrhnutmb hg d spjmrm il rdbhus ^, whtj tjm cjdrkm bmgshty khvmg ny (r) 5 or, wjmrm r hs tjm bhstdgcm lrie tjm cmgtrm. Rwi cjdrkms D dgb N, il –T mdcj, drm padcmb ig bhdemtrhcdaay ippishtm pihgts, dt mquda bhstdgcm, d, lrie tjm cmgtrm. Hl D dgb N bi git mxpmrhmgcm dgy lircm, tjmg 6 bqy vois'o >T bos l5oR?o ^ bs xosys msd na na hzbof lirlfr bfrs kS kSd lb lb vois'o 9ouî aMc]/o (r) 5 or, as as lg?o toro

kS tko¡ r bs]ì as gwfj kSD gos cfocf –T vois'oosd D rLoo N bos bs]ì as d gwfj hf I?oaj? lihfjr lc]gqvos vosd hf f_oo x?o kSD ?lg D voSf N bosnV cy vuqJoi Joi ukjd bfrs kS kSdU ros 6 (4) d 

3^ 4/ 2

>

(>) d 5 > –4/2^

(3) d 5 : –4/2^

(2) d 5 ^ / 3




Dgs. Sia.

(3) >T

d

d

T

T

–

^

 or 2r br 5 >T >

0

o^2 5 >T

…….. (4) d

 or2r br >

OT 2d

>

5 OT 0

>

OT > 2d >

5 T Oo2

OT >

d> d> 2

 >T 

5 TO  2  d> 2d ^  >

^ 5 d:4/2 :.

D pdrthcam hs eivhgk whtj spmmb  5 n x daigk pishthvm x-dxhs. Cdacuadtm tjm spmmb il tjm pdrthcam dt them t 5  (dssuem tjdt tjm pdrthcam hs dt irhkhg dt t 5 0). ,b b.o poy  5 n x as /ouo^mb x-v{o bj lg'oo msd py fko kS D am? t 5  hf b.o bj poy kosxj % mouo lb ( t 5 0 hf b.o mwy lc]gq hf kSD ). n>

(4) Dgs.

(2)

Sia.

v 5 nx4/> bx bt x

2

(3)

n> >

(2)

n> >

5 nx4/>

bx

x

(>)

n>

4/ >

t

5

0

 nb t 0

> x 5 nt x5

n>t > bx  v5 2 bt



n> t >




8.

Rjm mamctrig hg d jybrikmg dtie lhrst fueps lrie tjm tjhrb mxchtmb stdtm ti tjm smcigb mxchtmb stdtm dgb sunsmqumgtay ti tjm lhrst mxchtmb stdtm. tjm rdthi il tjm rmspmcthvm wdvmamgktj 4/> , il tjm pjitigs mehttmb hg tjhs pricmss hs 6

,b konEªostu hfmo.oq msd nysB\ªo[u hkys rjafj eØosltr viALoo as gwafj eØosltr viALoo msd voSf r^h'por~ gwafj as hzLom eØosltr viALoo viALoo msd toro kSkSD nu gos adÚm.oosd msd eâltVr Tos\o[uosd bs adxr rfdxgS/?os´ bo vuq vuqhor 4/> kos kosxo6 (4) >0/; Dgs. Sia.

(>) ;/=

4

4 4

>

(2) >;/=

4  ;^  4 – 5 ………….. (4)   3 > 2 >  422

5 ^ 

 4  >>

5 ^ 

–

4 

=^

………….. (>)  5 3< 3  >

4 =^ 422 >0  5 5 > 3< ;^ ;

(>) / (4)

40.

(3) 8/;

(4)

Cigshbmr tjm A^ chrcuht sjiwg hg tjm lhkurm. Hl tjm swhtcj S hs caismb dt t 5 0 tjmg tjm deiugt il cjdrkm A

tjdt pdssms tjriukj tjm ndttmry nmtwmmg t 5 0 dgb t 5

^

hs 6

lp5o msd ,b A^ hlfhLo g'ooV?o kSD ?lg t 5 0 hf bq tj ¡ S bos c]g c]g bfrs kSdU ros asy as lubyus ioys vois vois'o bo mou am?o]rfoy t 5 0 as t 5

A ^

bs cjp kosxo 6 A

^

h M

(4) Dgs.

(3)

Sia.

h5 bq bt

>.;MA ^

 ^

5



(>)

;.3MA ^

>

(3)

MA >.;^

>

(2)

MA ;.3^ >

(4 – m –t/)

^ 

bq 5

0

(4 – m –t/) wjmrm  5 A/^

q



>

S



 ^ (4 – m

) bt

–t/

0



  m t/  q5 t –  ^  – 4/   0 –

q5 q5

      –  m ^     ^ m

5

A m^ >

5

A >.;^ >




44.

Dgs. Sia.

D tughgk liro il il lrmqumgcy 2:0 Jz hs usmb hg dg mxpmrhemgt lir emdsurhgk spmmb il siugb () hg dhr ny rmsigdgcm tunm emtjib. ^msigdgcm hs insmrvmb ti iccur dt twi succmsshvm amgktjs il tjm dhr ciaueg, a 4 5 30 ce dgb a > 5 ;0 ce. Rjmg  hs mquda ti 6 vuquog uyj lil/o }ofo io?q msd /ilu bj poy (v) Oor bfus bs bs ly?s ,b hz?osx msd 2:0 Jz voi`lØo bs Ailf5o bo eh?osx bfrs kSdD io?q ArMJo bj gos eØofos eØofosØof yMcon?osd a 4 5 30 ce rLoo a > 5 ;0 ce bs ly?s vuquog hzoHr kosrs kSdD rc  bo mou kS6 (4) 33: es –4 (>) 33> es –4 (3) 3:2 es –4 (2) 3;8es –4 (3)

 >

5 20 ce

l 5 2:0 Jz 4>.

 5 0.: e



\siugb 5 l  5 2:0 Û 0.: 5 3:2 e/s

D ughlire cyahgbrhcda cyahgbrhcda rib il amgktj A dgb rdbhus r, hs edbm lire d edtmrhda wjism Xiugk's eibuaus il Madsthchty mquda X. [jmg tjhs rib hs jmdtmb ny tmepmrdturm R dgb sheuatdgmiusay sunfmctmb ti d gmt aigkhtubhgda cieprmsshigda lircm L, hts amgktj rmedhgs ugcjdgkmb. Rjm cimllhchmgt il viauem mxpdgshig, il tjm edtmrhda il tjm rib, hs (gmdray) mquda ti 6 yMconV A rLoo l5oR?o r bj ,b ,bamou csyuobof GE+ bo adx hz^?oALoro xq .oodb X kSD tc na GE+ bo rohmou R as c1+ors kS kSd rLoo ea hf bqy vuqgS /?V /?V adhjEu cy L yxors kSd ros ros eabj yMconV vhlfilrVr fkrj kSD GE+ bs hgoLoV bs vo?ru hzaof xq.ood b bo yxJox mou kosxo 6 (4) L/(3r > XR) (>) 3L/ (r >XR) (3) XR) (2) 8L/(r > XR)

Dgs.

(>)

Sia.

 5

L D

XR 5 5

L

r > L

XRr >

 5 3 5

43.



3L XRr >

Igm ok il wdtmr dt >0°C, hs hs jmdtmb hg dg mamctrhc omttam wjism jmdthgk mamemgt mamemgt jds d emdg (tmepmrdturm dvmrdkmb) rmshstdgcm il >0. Rjm res viatdkm hg tjm edhgs hs >00\. Hkgirhgk jmdt aiss lrie tjm omttam, them tdomg lir wdtmr ti mvdpirdtm luaay, hs caism ti 6 _Spmchlhc jmdt il wdtmr 5 2>00 F/(ok°C), Adtmgt jmdt il wdtmr 5 >><0oF/okU mo/? hzlrfos/o ±rohmou voSarµ >0 bj ,b li|qr bs ryj ryj msd >0°C bs 4 ok houj houj bos b os ecoyrs kSdD li|qr vohwl rV bj res iosX\ro >00\ kSD bsryj as Í"mo kolu bos ux.? mours kq,U houj bos hw.oVr?o iol"hr kosus msd yxJox am? yxsxo6 houj bj lil'o"\ Í"mo 5 2>00 F/(ok°C), houj houj bj xq Hr Í"mo 5 >><0oF/okU _ (4) 4< ehgutms (>) 40 ehgutms (3) >> ehgutms (2) 3 ehgutms (4) 4< lmu\ (>) 40 lmu\ (3) >> lmu\ (2) 3 lmu\

Dgs.

(3)

Sia.

eSR + eA 5

\> ^

t

4 Û 2>00 Û :0 + 4 Û >.>< Û

40< 5

>00 > >0

t

t 5 >4.> ehgutms




42.

D siahb spjmrm, il rdbhus ^ dcquhrms d tmrehgda vmaichty 4 wjmg ldaahgk (bum ti krdvhty) tjriukj d vhscius lauhb jdvhgk d cimllhchmgt il vhscishty . Rjm spjmrm hs nriomg hgti >; hbmgthcda siahb spjmrms. Hl mdcj il tjmsm spjmrms dcquhrms d tmrehgda vmaichty >, wjmg ldaahgk tjriukj tjm sdem lauhb, tjm rdthi ( 4/ >) mqudas 6 l5oR?o ^ bs ,b Nosa xosys boU '?uro xq.oodb  bs ,b ìi msd ±xq 6îj? cy bs bof.oµ bof.oµ ajmo]r isx 4 kSD ?lg na Nosa xosy bos s bos cfocf l5oR?o bs >; xosyosd ms ms co¡ d co¡\o to?s ros hz^?sb xosys bo ajmo]r isx naj ìi msd > ho?o toro kSU ros 4/ > bo mou kosxo6 (4) >; (>) 4/>; (3) 4/8 (2) 8

Dgs.

(2)

Sia.

E 5  Û E >;

2 3

5  Û

^3

2 3

r 3

^

r

3

\R  (^dbhus)> \R



\gmw

\gmw 5

4=.

^>

^ / 3>

5 8

\R 8

Hg dg depahtubm eibuadtir chrcuht, tjm cdrrhmr wdvm hs khvmg ny, C(t) 5 2 shg (>0000 t) wjham eibuadthgk shkgda hs khvmg ny, e(t) 5 >shg(>000t). Rjm vdaums il eibuadthig hgbmx dgb aiwmr shbm ndgb lrmqumgcy drm 6 ,b vo?omj mo[Eqyu hlfhLo msd luis'oj iokb rfdx C(t) 5 2 shg (>0000 t) kSU tclb mo[ Eqyu laZuy lupyj ho'iV cS cSdE voi`lØo bs mou kos xs d % e(t) 5 >shg(>000t) kSD mo[Eqyu awpbodb rLoo lupyj (4) 0.3 dgb 8 oJz (>) 0.= dgb 8 oJz (3) 0.= dgb 40 oJz (2) 0.2 dgb 40 oJz

Dgs.

(>)

Sia.

E. 5

D e D C



> 2

 0.=

LC – Le 5 L 5 40000 – 4000 5 8000 Jz 4<.

Jdal ahvms il twi rdbhidcthvm gucamh D dgb N drm 40 ehgutms dgb >0 ehgutms, rmspmcthvmay. Hl hghthdaay d sdepam jds mquda guenmr il gucamh, tjmg dltmr <0 ehgutms, tjm rdthi il bmcdymb guenmrs il gucamh D dgb N whaa nm 6 gos fsf slE?os/omjV uolJobosdU D rLoo N, bj v)Vvo?q vo?q Úm'o% 40 lmu\ rLoo >0 lmu\ kSD ?lg ,b umwus msd vofMJo msd gosuosd uolJobosd bj ad_?o cfocf cfocf kS ros <0 lmu\ h'por~, D rLoo N {ol?r uolJobosd bj ad_?o bo vuqhor kosxo 6 (4) 4 6 : (>) 3 6 : (3) 8 6 : (2) : 6 4

Dgs.

(3)

Sia.

G4 5 G0  

<



 4   >  G0  G4 8  G0  G> :

 4   > 

3

G> 5 G0  




4;.

Rjm rdthi il tjm wmhkjts il d niby ig tjm Mdrtj's surldcm ti tjdt tjdt ig tjm surldcm il d padgmt hs 8 6 2. Rjm edss il tjm padgmt hs

4 8

tj il tjdt il tjm Mdrtj. Hl '^' hs tjm rdbhus il tjm Mdrtj, wjdt hs tjm rdbhus il tjm

padgmt9 (Rdom tjm padgmts ti jdvm tjm sdem edss bmgshty)

,b lh.E bs h`Lij rLoo ,b gw afs xz k bj ark hf Joofosd bo vuqhor 8 6 2 kSD gwafs xz k bo ìI?mou h`Lij bs ìI?mou 4

bo

8

kSD ?lg h`Lij bj l5oR?o '^' kS kS ros xz k bj l5oR?o B?o kosxj Q (R mouo lb gosuosd xzkosd bo bo ìI?mou 9ouî amou

kSD) (4)

^

8

(>)

Dgs.

(2)

Sia.

w4 5

KE4e

w> 5

KE>e

^4 ^>

4:.

E4

5

(3)

^ 3

(2)

^ >

^ >>

 ^ >    5 ^4  w> E> 

8

2

^4>

w4

2

^

4 8

5

 ^ >     ^4 

>

>

4 >

D naico il edss =ok =ok hs (h) pusjmb pusjmb hg cdsm (D) (D) dgb (hh) puaamb hg cdsm (N), (N), ny d lircm L 5 >0G, edohgk dg dgkam il 30° whtj tjm jirhzigtda, ds sjiwg hg tjm lhkurms. Rjm cimllhchmgt il lrhcthig nmtwmmg tjm naico dgb laiir hs  5 0.>. Rjm bhllmrmgcm nmtwmmg tjm dccmamrdthigs il tjm naico, hg cdsm (N) dgb cdsm (D) whaa nm 6 (k 5 40es –>)

kSd rLoo (hh) g'oo =ok bs ,b xq \bs bos {oSlrt as 30° bos.o hf cy L 5 >0G as lp5oouqaof (h) g'oo (D) msd /obsyrs kS _ojdprs kSdD xq\bs rLoo amry bs cjp 9o"oV.o xq.oodb  5 0.> kSD nu gos g'oovosd (D) rLoo (N) msd xq\bs bs (N) msd _ojd îf.oosd bs v]rf bo mou mou kosxo % (k 5 40es –>) L 5 >0G 30° 30° L 5 >0G (D)

(4) 0.: es –>

(>) 0 es –>

(N)

(3) 3.> es –>

(2) 0.2 es –>




Dgs.

(4)

Sia.

G4 5 =0 + 40 5 <0G

G> 5 =0 – 40 5 20G

LAhe 5 0.> Û <0 5 4>G

LAhe 5 0.> Û 20 5 :G

Ldppahmb 7 4>G  l 4 5 4>G

Ldppahmb 7 :G  l 4 5 :G

4;.3>  4> = =.3> 5 =



 d4

48.

Dgs. Sia.



d4 – d> 5 



d4 – d>| 5

d>



4;.3>  : =

2 = 2 =

5 0.: e/s>

D Cdrgit mgkhgm jds dg mllhchmgcy il 4/<. [jmg tjm tmepmrdturm il tjm shgo hs rmbucmb ny <>°C, hts mllhchmgcy hs biunamb. Rjm tmepmrdturms il tjm siurcm dgb tjm shgo drm, rmspmcthvmay, ,b bouosV nV tu d bj {omro 4/< kSD tc Í"mo bq.E (shgo) bo rohmou <>°C bm lb?o toro kS ros {omro gosx uj q kos torj kSD Í"mo azosr rLoo bq.E bsU Úm'o%U rohmou rohmou kosdxs 6 6 (4) 4>2°C, <>°C (>) 88°C, 3;°C (3) 3;°C, 88°C (2) <>°C, 4>2°C (3) 4

RC

<

RJ

5 4 –

RC RJ

4 3

<

RC – (<>) RJ

5 4 –

RC RJ



( <>) RJ

4 <>  < RJ



<> RJ 4

5 4 –

4 <



5 4 –

RC 3;>

RC 5



RJ 5 3;>O RC 3; >

= <

=  3;> 5 340O <




>0.

Rwi siurcms il siugb S4 dgb S> pribucm siugb wdvms il sdem lrmqumgcy <<0Jz. D ahstmgmr hs eivhgk lrie siurcm S4 tiwdrbs S> whtj d cigstdgt spmmb ue/s dgb jm jmdrs 40 nmdts/s. Rjm vmaichty il siugb hs 330e/s. Rjmg, u mqudas 6

gos /ilu azosr S4 rLoo S> ,b kj voi`lØo <<0Jz bj /ilu e^h]u bfrs kSdD ,b Fosro S4 as S> bj rfT lALof xlr u e/s as tors kq, hzlr asb.E 40 liAh]g aquro kS D ?lg /ilu bj xlr 330e/s kSU ros u bo mou kosxo6

Dgs.

(4) 4=.0 e/s

(>) 40.0 e/s

(3) >.=e/s

(2) =.= e/s

(3)

Sia. u

S4

>

l 05<<0Jz

l 05<<0Jz

l 4 5 dppdrmgt lrmqumgcy rmcmhvmb lrie S4 5

c – u l 0 c

l > 5 dppdrmgt lrmqumgcy rmcmhvmb lrie S> 5

c  u l 0 c

c  u

nmdt lrmqumgcy 5 l > – l 4 5   c 5

>u l 0 5 40 c

5

>u  <<0 330

–

c – u  l 0 c 

 40

5 u 5 >.= e/s >4.

Hg tjm khvmg chrcuht, tjm cjdrkm ig 2 L cdpdchtir whaa nm 6

lg?s x?s hlfhLo msd 2 L /oolfro bs ad/oolf5o hf vois'o bo mou kosxo 6 2L

4L =L

3L 40\

(4) 43.2 C Dgs.

(2)

Sia.

T 5 Cmq \ 5

(>) 8.< C

(3) =.2 C

(2) >2 C

2 <  40C 5 >2 C 2<




>>.

D eivhgk ciha kdavdgiemtmr, jdvhgk d rmshstdgcm K, pribucms luaa scdams bmlamcthig wjmg d currmgt Hk laiws tjriukj ht. Rjhs kdavdgiemtmr cdg nm cigvmrtmb hgti (h) dg deemtmr il rdgkm 0 ti H0 (H0 7 Hk) ny ciggmcthgk d sjugt rmshstdgcm ^ D ti ht dgb (hh) hgti d viatemtmr il rdgkm 0 ti \(\ 5 K H0) ny ciggmcthgk d smrhms rmshstdgcm ^\ ti ht. Rjmg, hzlrfos/o K bs ,b py bq.Eyj /oofomohj msd /oofo Hk hf hw.oV li{osh ho?o toro kSD na /oofomohj /oofomohj bos hfoa 0 as H0 (H0 7 Hk) /oofo bs vmj\f msd ,b 'od\ hzlrfos/o ^ D yxobf hlfilrVr bf abrs kS kSdD naj /oofomohj bos hfoa 0 as \ (\ 5 KH0) bs iosX\mj\f msd ,b Fs.oj hz lrfos/o ^\ yxobf hlfilrVr bf abrs kSdD ros ,

 H   H – H  ^ (4) ^ D^ \  K  0 k  dgb rLoo D   k   Hk  ^ \  H0 – H k   

>

>

(>) ^ D^ \  K> dgb rLoo

^ D



^\

Hk (H0 – H k ) >

 H    k  (3) ^ D^ \  K dgb rLoo ^ \  H0 – H k  >     H H H – ^ k 0 k D (2) ^ D^ \  K>   H0 – Hk  dgb rLoo ^\   H k      ^ D

>

Dgs.

(3)

Sia.

(H0 – HK) ^ D 5 HK K dgb \0 5 HK (K + ^\) 5

H0

HK

K  ^ D 

\0 5 HK (K + ^ \)

^ D

\0 5 H0K (khvmg)

(K + ^\) 5 HK



HK

K  ^ D K ^ D

^ DK + ^\ ^ D 5 K> + ^ DK ^\ ^ D 5 K> HKK

^ D 5 ^ D ^\ >3.

H0



–

HK

? ^\ 5

H 0

–

HK

K

HK

> HK

H 0

–

HK

>

D sedaa spmdomr bmahvmrs > [ il dubhi iutput. dt wjdt bhstdgcm lrie tjm spmdomr whaa igm bmtmct 4>0 bN hgtmgshty siugb9 _Khvmg rmlmrmgcm hgtmgshty il siugb ds 40 –4>[/e >U

,b Gos\s Ahjbf as > [ 'olBr bj /ilu lubyrj kSD na Ahjbf as lbruj gwfj hf /ilu rjizro 4>0 bN kosxj Q lg?o kS % /ilu bj lugsV'o ± rmlmrmgcm) _ rmlmrmgcm) rjizro 540 –4>[/e >U (4) 40 ce

(>) 30 ce

Dgs.

(2)

Sia.

4>0 5 40aik40  5 4 5

(3) >0 ce

(2) 20 ce

 0

P Drmd

r 5 0.2 e




>2.

 ). Cigshbmr dg mamctrig hg d jybrikmg dtie, rmviavhgk hg hts smcigb mxchtmb stdtm (jdvhgk rdbhus 2.<= D Rjm bm-Nrikahm wdvmamgktj il tjhs mamctrig hs 6  kSD) na nysB\ªo[u ,b konEªostu hfmo.oq msd nysB\ª o[u gw afj eØos ltr b{oo msd 9ow m fko kSD na b{oo bj l5oR?o 2.<= D ( bj lE&xz o[Zyj rfdxgS/?V /?V kosxj 6  (4) 4>.8 D

Dgs.

Sia.

>=.

 (>) 3.= D

 (3) 8.; D

 (2) <.< D

(3) >r 5 g  >r 5 3   8.; Í

Dg mamctrig, eivhgk daigk tjm x-dxhs whtj whtj dg hghthda mgmrky il 400 m\, mgtmrs d rmkhig il edkgmthc lhmab  3 nmtwmmg x 5 0 dgb x 5 >ce. Rjm mamctrig hs N  (4.=  40 R )oˌ dt S (Smm lhkurm). Rjm lhmab mxtmgbs nmtwmmg bmtmctmb dt tjm pihgt T ig d scrmmg padcmb : ce dwdy lrie tjm pihgt S. Rjm bhstdgcm b nmtwmmg P dgb T (ig tjm scrmmg) hs6 (mamctrig's cjdrkm 5 4.< Û 40 –48C, edss il mamctrig 5 8.4 Û 40 –34 ok)  o[ tos x –v{o bs vuqlg'o xlrmou kSU N  (4.=  40 3 R)oˌ bs pqMcbj? {os5o msd lc]gq lc]gq S 400 m\ ÍtoV bo ,b nys B\ª u hf hz is'o bfro kS lp5o gsl_o?s ) D pqMcbj? {os5o x 5 0 as x ( x 5 >ce rb liAr`r kSD lc]gq S as : ce gwfj hf lALor hgs V hf nysB\ª o[u bo adawpu lc]gq lc]gq T hf kosro kSD lc]gq P rLoo T bs cjp bj gwfj b hgs ( V hf) bo mou kosxo % nys nysB\ªo[u bo ìI?mou 5 8.4 Û 40 –34 ok) ( B\ª o[u bo vois'o 5 4.< Û 40 –48C, nys –

–

T b S

P >ce

:ce

(4) 4>.:; ce Dgs.

(>) 4.>> ce

(3) >.>= ce

(2) 44.<= ce

(>)

Sia.

shg 5 si

x ^

dgb ^ 

ev 5 qN

>eo qN

b 5 ^ – ^cis

  

 ^ 4  4 

x> ^>

   

5 ^ – ^>  x > 5 4.>>




><.

Rjrmm pdrthcams pdrthcams il edssms =0 k. 400 k dgb 4=0 k drm padcmb padcmb dt tjm vmrthcms il dg mquhadtmrda trhdgkam il shbm 4 e (ds sjiwg hg tjm lhkurm). Rjm (x, y) ciirbhgdtms il tjm cmgtrm il edss whaa nm 6 =0 k, 400 k rLoo 4=0 k bs rju b.oosd bos lp5oouqaof 4 e Joqto ioys ,b amcokq l5oJoqt bs bosuosd hf f_oo kSD na

lubo? bs ìI?mou bs]ìD (x rLoo y) bs lugs 'ood V b kosdxs % % X

e3 5 4=0k

=0k 5 e 4 0

 ; 3  e (4)  e,   4>

Dgs.

(4)

Sia.

xce 5 5

 

2

  4>

:

 

 3

(3) 

 2

e,

=  e 4> 

 3

(2) 

 :

e,

;  e 4> 

=0  0  400  4  4=0  4/ > =0  400  4=0

4; = 30 0

5

; 4>

ce

=0  0  400  0  4=0 3 / > 3 5 ce 300 2

yce 5

>;.

 ; 3  e (>)  e,

e> 5 4.>> <0° 0.=e 4.0e

D padgm mamctriedkgmthc wdvm jdvhgk d lrmqumgcy  5 >3.8 KJz. pripdkdtms daigk tjm pishthvm z-bhrmcthig hg lrmm spdcm. Rjm pmdo vdaum il tjm Mamctrhc Lhmab hs <0 \/e. [jhcj deigk tjm liaaiwhgk hs tjm dccmptdnam edkgmthc lhmab ciepigmgt hg tjm mamctriedkgmthc wdvm9

mqBr vobo'o msd

 5 >3.8 KJz bj

,b amry li|qr pq Mcbj? rfdx /ouo^mb z-v{o bj lg'oo msd adpf.o bf fkj kS D

namsd li|qr {os5o bo vl/obrm mou <0 \/e kSD luMu msd as as boSu ao libXh na rfdx bs pq Mcbj? {os5o bs ly?s Aijbo?V kS9 

(4) N  <0 shg(0.=  40 3 x  4.=  4044 t )oˌ 

(3) N  >  40; shg(0.=  403 z  4.=  4044 t )ˌh Dgs.

(>)

Sia.

N0 5 O5

M0 C

 C



(>) N  >  40 –; shg(0.= 40 3 z 4.= 40 44t) hˌ (2) N  >  40 –; shg(4.= 40 > x  0.= 40 44t ) ˌf

5 > Û 40 –; >t 5 0.= Û 403 C

 5 >l 5 4.= Û 40 44

dgb N 5 N0shg (oz ´ t) h

ˌ




>:.

Lhgb tjm edkgmthc edkgmthc lhamb dt pihgt pihgt P bum ti d strdhkjt ahgm ahgm smkemgt DN hl amgktj < ce cdrryhgk d currmgt il =D. (Smm lhkurm) (0 5 2 Û 40 –; G – D –>) =D /oofo bs ,b aj/os rof bs < ce yMcs _o.E DN bs bof.oU ±lp5oouqaofµ lc]gq P hf pqMcbj? {os5o Oor bjlt?sD (0 5 2 Û 40 –; G – D –>)

P e c =

= c e

D

N < ce

(4) 3.0 Û 40 –= R Dgs.

(>)

Sia.

N5

(>) 4.= Û 40 –=R

(3) >.0 Û 40 –= R

(2) >.= Û 40 –= R

 0h _shg 4 + shg >U 2r

5 40 –; Û

= 2  40

–

>

3 3 =  =  

N 5 4.= Û 40 –= R >8.

D seiitj whrm il amgktj >r hs nmgt hgti d chrcam dgb ompt hg d vmrthcda padgm. D nmdb cdg sahbm seiitjay igm tjm whrm. [jmg tjm chrcam hs ritdthgk whtj dgkuadr spmmb  dniut tjm vmrthcda bhdemtmr DN, ds sjiwg hg lhkurm, tjm nmdb hs dt rmst whtj rmspmct ti tjm chrcuadr rhgk dt pishthig P ds sjiwg. Rjmg tjm vdaum il > hs mquda ti 6

,b 9o"oV.o flkr rof bos i`Øo cuobf Í/ioV/of amry msd f_oo kS D ,b ml.obo ± nmdb) >r yMconV bs ,b nmdb) na rof hf lTayrj kSD i`Øo bos ,b ,b Í/ioV/of v{o DN bs hlfr% lp5oouq aof bos.oj? isx ml.obo lp5oouq aof lc]gq P hf lALof ho?j torj torj kSD

> bo

 as

9oqmo?o toro kS ros i`Øo bs aohs{o

mou kosxo6

 r

D I

r/> N

(4) Dgs.

>k r

(>)

3k >r

(3)

(k 3 ) r

(2)

>k r 3

(2)




Sia.



G

ek  5 30¶

G shg30¶ 5 e >

r >

G cis30¶ 5 ek tdg30¶ 5

30.

>r >k

> 5

>k 3r

D systme il tjrmm piadrhzmrs P4, P >, P3 hs smt up sucj tjdt tjm pdss dxhs il P3 hs crissmb whtj rmspmct ti tjdt il P4. tjm pdss dxhs il P> hs hgcahgmb dt <0° ti tjm pdss dxhs il P 3. [jmg d nmde il ugpiadrhzmb ahkjt il hgtmgshty

H0

hs hgchbmgt ig P4, tjm hgtmgshty il ahkjt trdgsehttmb ny tjm tjrmm piadrhzmrs hs H. Rjm rdthi

(H0 /H) mqudas (gmdray) 6

rju /ozqibosd P4, P> rLoo P3 bos na rfk f_ors kSd lb P3 bj hoa&v{o as P4 bj hoa v{o as Úo[lar kSD P> bj hoa&v{o P3 bj hoa&v{o as <0° bos.o hf kSD tc ,b H0 rjizro bo v/ozqlir hzbo'o lbf.o hq t d P4 hf vohlrr kosro kS ros na rju /ozqibosd bs amo?ostu as  rjizro bo hzbo'o lbf.o hqdt luxVr kosro kSD vuq hor (H0 /H) bo lub\rm mou kosxo6 (4) 40.<; Dgs.

(>) =.33

(3) 4<.00

(2) 4.:0

(4)

Sia.

> 5 4cis>30° 5

3 5 >cis><0° 5



0 >



3 0 :

3 2





4 2

3 0 :



3 0 3>



JEE Main 2019 Physics April Attempt Shift - 2(12th April, 2019)

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