Jee 2014 Booklet1 Hwt Introduction to Vectors & Forces

7/22/2019 Jee 2014 Booklet1 Hwt Introduction to Vectors & Forces

1/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs 5? CTU/^cysigs

EOUK 2 IIUBKK 2AO]JW 2

?> UIAK 2 =; AIL[UKW

LOAK 2 UKWU GFEK 2 X&H Z?Q

]F@@ LF. WUO]U UIAK 2 KLE UIAK 2 UIAK UOJKL2

WU[EKLUW WIDLOU[]K 2 Ô]KLUW WIDLOU[]K 2

Ucis tkst gfltoils o tfto` fh ?> Fmbkgtivk Uypk _ukstifls.

Kogc qukstifl gorriks ? aorj. Uckrk is LF LKDOUIXK aorjild.

Gcffsk tck gfrrkgt o`tkrlotivk. Fl`y flk gcfigk is gfrrkgt.

?. Tcot coppkls ih o vkgtfr is au`tipìke my o luamkr = 6

(O) Uck aodlituek fh tck vkgtfr is efum`ke mut its eirkgtifl rkaoils tck soak

(M) Uck aodlituek fh tck vkgtfr rkaoils tck soak mut its eirkgtifl is rkvkrske

(G) Uck aodlituek fh tck vkgtfr is efum`ke ole its eirkgtifl is rkvkrske

(E) Lkitckr tck aodlituek lfr tck eirkgtifl fh tck vkgtfr ulekrdf oly gcoldk

=. Uck aodlituek fh tck rksu`tolt fh twf vkgtfrs fh aodlituek fh tck rksu`tolt fh twf vkgtfrs fh aodlitueks 7 ulits ole 5 ulits il ; ulits.

Tcot is tck old k mktwkkl twf vkgtfrs 6

(O)5

(M)

=

(G)

7

5

(E)

7. Uck aodlituek fh tck rksu`tolt fh twf kquo` vkgtfrs is kquo` tf tck aodlituek fh kitckr vkgtfr. Tcot is tck old`k mktwkkl tck twf

vkgtfrs6

(O) 8> (M) 9> (G) ?=> (E) ?;>

5. Uck aodlitueks fh hfur poirs fh eispògkaklt vkgtfrs ork divkl. Tcigc poirs fh eispògkaklt vkgtfrs gollft mk oeeke tf divk o rksu`tolt

vkgtfr fh aodlituek 5ga 6

(O) =ga, 7ga (M) ?ga, 7ga (G) ?ga, ;ga (E) ?ga, 4ga

;. Ih tck suaO+Mfh twf vkgtfrsOoleMkquo`s tck eihhkrklgk O M mktwkkl tcka, tckl 2

(O) Ois o lu`` vkgtfr (M) Mis o lu`` vkgtfr

(G) mftcOoleMork lu`` vkgtfrs (E) lkitckrOlfrMis o lu`` vkgtfr

8. Uck rksu`tolt fh twf vkgtfrsOoleMsumtkles ol old`k fh 5; witc kitckr fh tcka. Uck aodlituek fh tck rksu`tolt is 2

(O) zkrf (M) = O (G) O (E) =O

4. OoleMork twf vkgtfrs il o pòlk ot ol old`k fh 8> witc kogc ftckr.Gis olftckr vkgtfr pkrpkleiguòr tf tck pòlk gfltoilild vkgtfrs

OoleM. Tcigc fh tck hf``fwild rk otifls is pfssim`k 6

(O) O+M1G (M) O + G1M (G) OM1G (E) OG1M

3. XkgtfrGis tck sua fh twf vkgtfrs OoleMole vkgtfrEis tck grfss prfeugt fh vkgtfrs OoleM. Tcot is tck old`k mktwkkl vkgtfrs

GoleE 6

(O) zkrf (M) 8> (G) 9> (E) ?3>

9. Uck rksu`tolt fh twf vkgtfrs fh aodlitueks 7 ulits ole 5 ulits is ? ulit. Tcot is tck aodlituek fh tckir grfss prfeugt 6

(O) ?= ulits (M) 4 ulits (G) ? ulit (E) zkrf

?>. Ucrkk vkgtfrsO,M oleG ork rkòtke os O+M1G. Ih vkgtfr G is pkrpkleiguòr tf vkgtfrO ole tck aodlituek fhG is kquo` tf tck

aodlituek fhO, wcot wi`` mk tck old`k mktwkkl vkgtfrsOoleM 6

(O) 5; (M) 9> (G) ?7; (E) ?3>


2/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs 5= CTU/^cysigs



LOAK 2 UKWU GFEK 2 X&H Z=Q






?. Uck aodlituek fh tck rksu`tolt fh (O+M) ole O M is 2

(O) =O (M) =M (G)= =

O M (E) = =O M

=. Tcot is tck old`k mktwkkl tck rksu`tolt vkgtfr ole vkgtfrO 6

(O) zkrf (M) ? O

gfsM

(G)? M

gfsO

(E)? O Mgfs

O M

7. Ih ole i b ork ulit vkgtfrs o`fldx-oxis oley-oxis rkspkgtivk`y, tck aodlituek fh vkgtfr i b wi`` mk 2

(O) ? (M) = (G) 7 (E) =

5. Uck old`k mktwkkl tck vkgtfr i b j ole vkgtfr i is divkl my 2

(O) ??

7gfs

(M) ?

?

7sil

(G)

? 7

=gfs

(E)

? 7

=sil

;. Divkl tcot > = > 8 . i . b oj is o ulit vkgtfr. Tcot is tck voùk fho 6

(O) > 7. (M) > 5. (G) > 8. (E) > 3.

8. Divkl = 7 ole O i b M i b . Uck gfapflklt fh vkgtfrOo`fld vkgtfrMis 2

(O) ?

= i b (M)

7

= i b (G)

;

= i b (E)

4

= i b

4. Hidurk scfws tcrkk vkgtfrso , m

ole

g . Ih]_1 =^], wcigc fh tck

hf``fwild rkòtifls is gfrrkgt 6

(O) =o +

g 1 7 m

(M)o + 7

g 1 = m

(G) 7o

g 1 = m

(E)o + =

g 1 7 m

3. Uck aodlitueks fh vkgtfrsO,MoleGork rkspkgtivk`y ?=, ; ole ?7 ulits oleO+M1G. Uck old`k mktwkklOoleMis.

(O) zkrf (M) (G)=

(E)

5

9. Uck sua fh aodlituek fh twf hfrgks ogtild ot o pfilt is ?8L. Ih tck rksu`tolt hfrgk is 3Lole its eirkgtifl is pkrpkleiguòr tf tck sao``kr

hfrgk, tckl tck hfrgks ork

(O) 8Lole ?>L (M) 3Lole 3L (G) 5Lole ?=L (E) =Lole ?5L

?>. Uwf vkgtfrsG1O+MoleEole O M ork pkrpkleiguòr tf kogc ftckr. Uckl

(O) Ois poro``k` tfM (M) Ois pkrpkleiguòr tfM

(G) Mis o lu`` vkgtfr (E) OoleMcovk o kquo` aodlitueks

o

m

g

> ^

_

]


3/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs 57 CTU/^cysigs

EOUK 2 IIUBKK 2 AO]JW 2 ?>

UIAK 2 =; AIL[UKW

LOAK 2 UKWU GFEK 2 X&H Z7Q






?. O vkgtfrOis o`fld tck pfsitivkz-oxis ole its vkgtfr prfeugt witc olftckr vkgtfrMis zkrf, tckl vkgtfrMgfuè mk 2

(O) i b (M) 5i (G) b j (E) 4 j

=. O mfey, ilitio``y ot rkst, is ogtke upfl my hfur hfrgks ? = 7 5= 7 7 ole 7 5 H i j , H b j , H i H b i . Il wcigc pòlk wi`` tck mfey

afvk 6

(O) pòlkx y (M) pòlkx z (G) pòlky z (E) Lflk fh tcksk

7. Ois o vkgtfr wcigc wckl oeeke tf tck rksu`tolt fh vkgtfrs = 7 5 ole ; = i b j i b j yikès o ulit vkgtfr o`fld tck y-oxis. UcklvkgtfrOis 2

(O) 7 8 i b j (M) 7 8 i b j (G) 7 8 i b j (E) 7 8 i b j

5. Uck old`k mktwkkl twf vkgtfrsOoleMis . Xkgtfr ] is tck rksu`tolt fh tck twf vkgtfrs. Ih]aojks ol old`k=

witcO, tckl 2

(O) O1 =M (M)=

MO (G) O1M (E) OM1 ?

;. Tcot is tck tfrquk fh o hfrgk = 7 5 H i b j Lkwtfl ogtild ot o pfilt 7 = 7r i b j aktrk omfut tck fridil 6

(O) 8 8 ?= i b j (M) ?5 8 ?7 i b j (G) 8 8 ?= i b j (E) ?4 8 ?7 i b j

8. Uwf vkgtfrs ? =oleO O

kogc fh aodlituekOork ilgìlke tf kogc ftckr sugc tcot tckir rksu tolt is kquo` tf 7O . Uckl tck rksu`tolt fh

? =oleO O

is 2

(O) =O (M) 7O (G) =O (E) O

4. Ih oleO M

ork pkrpkleiguòr vkgtfrs, wckrk ; 4 7 ole = = O i b j M i b oj

, tckl tck voùk fhois 2

(O) = (M) 3 (G) 4 (E) 3

3. Uck orko fh o poro``k`fdroa wcfsk oebogklt sieks ork = 7 ole 5 ^ i b _ i b

is 2

(O) ; squork ulits (M) ?; squork ulits (G) => squork ulits (E) =; squork ulits

9. Ih = 7 ole 7 = O i b j M i b j

, tckl tck orko fh poro``k`fdroa hfrake hrfa tcksk vkgtfrs os tck oebogklt sieks wi`` mk 2

(O) = 7 squork ulit (M) 5 7 squork ulits (G) 8 7 squork ulit (E) 3 7 squork ulits

?>. Uck vkgtfrs 7 ole = ^ oi ob j _ oi b j

ork pkrpkleiguòr tf kogc ftckr. Uck pfsitivk voùk fhois 2

(O) 7 (M) = (G) ? (E) >


4/13

Xieyoaoleir Gòssks



UIAK 2 =; AIL[UKW







?. Divkl 7 4 O i b j

. Tckl o vkgtfr M

is oeeke tf O

, wk dkt o ulit vkgtfr o`fldS-oxis. Uckl M

is 2

(O) = 7 i b j (M) = 4 i b j (G) 7 5 i j b (E) 5 = 7 i b j

=. Uck aodlituek fh tck S oleY gfapflklts fh O

ork 4 ole 8. O`sf tck aodlituek fhS oleY gfapflklts fh O M

ork ?? ole 9

rkspkgtivk`y. Tcot is tck aodlituek fhM

6

(O) ; (M) 8 (G) 3 (E) 9

7. Uck old`k mktwkkl tckz-oxis ole tck vkgtfr = i b j is 2

(O) 7> (M) 5; (G) 8> (E) 9>

5. Uwf hfrgks, kogc kquo` tfH, ogt os scfwl il hidurk. Uckir rksu`tolt is 2

(O)=

H(M) H

(G) 7 H (E) ; H

;. Ih tck rksu`tolt fh twf hfrgks (O+M) ole = =isO M O M , tckl tck old`k mktwkkl tcksk hfrgks is 2

(O) = =

?

= =

O Mgfs

O M

(M) = =

?

= =

O Mgfs

O M

(G)

= =?

= ==

O Mgfs

O M

(E) = =

?

= =

= O Mgfs

O M

8. Ih > tckl^ _ , | ^ _ |

is 2

(O) |^ ||_|

(M) zkrf (G) ? (E) ^_

4. Ih = 7 ole 7 = tckl ^ i b j _ i b, ^ _

is 2

(O) zkrf (M) 8 (G) ?= (E) ?;

3. Uck aodlituek fh tck twf vkgtfrs oleo m

orkoolemrkspkgtivk`y. Uck aodlituek vkgtfr prfeugt fh oleo m

gollft mk 2

(O) kquo` tf zkrf (M) `kss tcolom (G) kquo` tfom (E) drkotkr tcolom

9. Divkl 5 ole = 7 r b ^ i b j

. Uck olduòr afakltua is @ r p .

(O) 5 3 i j (M) 3 5 i j (G) 3b (E) 9 j

?>. O hfrgk fh ?> 7 8 i b j L ogts fl o mfey fh aoss ?>>dole eispògks it hrfa 8 ; 7 tf ?> = 4 i b j a i b j a . Uck wfrj eflkis 2 T H , W (O) =?B (M) ?=?B (G) 78?B (E) ?>>>B

H

H

8>


5/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs 5; CTU/^cysigs



LOAK 2 UKWU GFEK 2 X&H Z;Q






?. ^rfbkgtifl fh fl^ _

is 2

(O) ^ _

(M) _

(G) ^ _

(E) ^ _

=. Divkl 5 8 ole = 7 O i b M i b

. Tcigc fh tck hf` fwild is gfrrkgt 6

(O) >O M

(M) =5O.M

(G)?

=

| O|

| M |

(E) oleO M

ork olti-poro``k`

7. Ih > ole ? tckl oleO.M O M , O M

ork ekhilitk`y 2

(O) pkrpkleiguòr ulit vkgtfrs (M) poro``k` ulit vkgtfrs

(G) poro``k` (E) pkrpkleiguòr

5. Uck tfrquk fh o hfrgk 7 ; H i b j

ogtild ot o pfilt is

. Ih tck pfsitifl vkgtfr fh tck pfilt is4 7 tckl i b j ,

fh tcis hfrgk omfut

fridil is 2

(O) 4 3 9 i b j (M) ?5 7 i b j (G) = 7 3 i b j (E) ?5 73 ?8 i b j

;. Hf``fwild hfrgks stort ogtild fl o portig`k ot rkst ot tck fridil fh tck gf-freilotk systka siau`tolkfus`y

? = 7 5; ; ; = 3 8 8 5 4 7 = H i b j , H i b j , H i b j , H i b j

. Uck portig`k wi`` afvk 2(O) ilx-y pòlk (M) ily-z pòlk (G) ilx-z pòlk (E) o`fldx-oxis

8. Hfrgk is ilgìlke ot 8> tf mk tck cfrizflto`. Ih its rkgtolduòr gfapflklt il tck cfrizflto` eirkgtifl is ;>L, tckl gfapflklt fh tck hfrgk

il tck vkrtigo` eirkgtifl is 2

(O) =;L (M) 4;L (G) 34L (E) ?>>L

4. O sao`` spckrk is culd my o strild hixke tf o wo``. Uck spckrk is puscke owoy hrfa tck wo``

my o stigj. Uck hfrgk ogtild fl tck spckrk ork scfw il hidurk. Tcigc fh tck hf``fwild

stotkaklts is wrfld 6

(O) ^ T tol (M) >U ^ T

(G) U=1^=+T= (E) U1^+T

3. UckSole Ygfapflklts fh vkgtfr O

covk luakrigo` voùks 8 ole 8 rkspkgtivk`y ole tcot fh O M

covk luakrigo` voùks ?> ole 9.

Tcot is tck luakrigo` vo uk fhM

6

(O) = (M) 7 (G) 5 (E) ;

9. O aol, usild o 4>jddorekl rf``kr fl o `kvk` surhogk kxkrts o hfrgk fh =>>Lot 5; tf tck drfule. Tcot is tck vkrtigo` hfrgk fh tck rf``kr

fl tck drfule, ih tck puscks tck rf``kr 6 ( =?>d as )

(O) 4>L (M) =>>L (G) ;8>L (E) 35>L

?>. Ih tck vkgtfrs = 5 ole ; O i b M i p b

ork poro` k` tcklp1

(O) ?> (M) ?> (G) 5 (E) 5

^

T

U


6/13

Xieyoaoleir Gòssks


EOUK 2 IIUBKK 2 AO]JW 2 9

UIAK 2 =; AIL[UKW




Ucis tkst gfltoils o tfto fh 9 Fmbkgtivk Uypk _ukstifls.



?. Divkl tcot ? ?>>U L , tckl hile U=2

(O) ?>> 7L (M)?>>

7L

(G) ;>L (E) =>> L

=. Ucrkk hfrgks fh aodlitueks 8L, 8Lole 4=Logt ot o gfrlkr fh o gumk o`fld tcrkk sieks os scfwl il

hidurk. ]ksu`tolt fh tcksk hfrgks is 2

(O) ?=Lo`fldFM (M) ?3Lo`fldFO

(G) ?3Lo`fldFG (E) ?=Lo`fldFK

7. Hfur gflgurrklt gfpòlor hfrgks il Lkwtfl ork ogtild ot o pfilt ole jkkp

it il kquiìmriua hidurk. Uckl voùks fhHole ork 2

(O) ? 8>L , (M) = 8>L ,

(G) = 9>L , (E) = 9>L ,

5. Ih ? =oleO O

ork twf lfl-gf`ìlkor ulit vkgtfrs ole ih ? = 7| O O |

, tckl tck voùk fh ? = ? ==O O . O O

is 2

(O) ? (M) ?/= (G) 7/= (E) =

;. O vkgtfr O

wckl oeeke tf tck vkgtfr 7 5 M i b

yikès o rksu`tolt vkgtfr tcot is il tck pfsitivk yeirkgtifl ole cos o aodlituek kquo`

tf tcot fhM

. Hile tck aodlituek fh O

.

(O) ?> (M) ?> (G) ; (E) ?;

8. Il o twf eiaklsiflo` aftifl fh o portig`k, tck portig`k afvks hrfa pfilt O, pfsitifl vkgtfr

?r

tf pfilt M, pfsitifl vkgtfr =r

. Ih tck aodlitueks fh tcksk vkgtfrs ork rkspkgtivk`y,

r?1 7 oler=1 5 ole tck old`ks tcky aojk witc tck x-oxis ork ? 4; ole ?; , rkspkgtivk`y,

tckl hile tck aodlituek fh tck eispògkaklt vkgtfr.

(O) ?; (M) ?7 (G) ?4 (E) ?;

4. Uck rksu`tolt fh twf vkgtfrs oleO M

is pkrpkleiguòr tf tck vkgtfr O

ole its aodlituek is kquo` tf co`h fh tck aodlituek fh vkgtfrM

.

Uckl tck old`k mktwkkl O

ole M

is 2

(O) 7>

(M) 5;

(G) ?;>

(E) ?=>

3. Uck aodlituek fh rksu`tolt fh tcrkk vkgtfrs fh aodlituek ?, = ole 7 wcfsk eirkgtifls ork tcfsk fh tck sieks fh ol kquiòtkro` triold`k

tojkl il frekr is 2

(O) zkrf (M) = = ulit (G) 5 7 ulit (E) 7 ulit

9. Uwf vkgtfrs oleO M

ork ilgìlke tf kogc ftckr ot ol old`k . Tcigc fh tck hf``fwild is tck ulit vkgtfr pkrpkleiguòr tf mftc oleO M

6

(O) O M

O M

(M) O M

sil

(G)

O M

OM sil

(E) O M

OMgfs

O M

G

8>

U? U=

7>

O M

G

EKH

D

8L

8L

4=L

O

M

?

=

?r

=r

H

=L

=L

=L

F


7/13

Xieyoaoleir Gòssks



UIAK 2 =; AIL[UKW







?. O spckrk is pògke mktwkkl = ilgìlke pòlks os scfwl. HileL?oleL=.

(O) ? =?>> ?>>

= =

L L: L L (M) ? =;> ;> 7L L: L L

(G) ? =;>

;>7

L L: L L (E) L?1 ;>L:L=1 ;>L

=. O m`fgj fh ;>Lis prksske lfrao``y odoilst o wo`` os scfwl. Uck hrigtiflo` hfrgk ogtild fl tck m`fgj is 2

(O) ;>L (M) ?>>L (G) ;L (E) ?>L

7.HfrT1 ?>>L, tck 5>>Lm`fgj bust storts sìeild. Hile tck gfkhhigiklt fh stotig hrigtifl.

(O) >.>=;

(M) >.=

(G) >.77

(E) >.=;

5. O swiaakr wolts tf eirkgt`y rkogc tck pfilt Mstortild hrfaO, Uck rivkr is

h`fwild o`fld x-oxis. Ih tck vk`fgity fh tck swiaakr is=

7 tiaks tck

vk`fgity fh tck rivkr, hile tck old`k hrfa tck ìlk OM ot wcigc cisswiaaild khhfrt scfuè mk eirkgtke.

(O) 8>

(M) 7>

(G) 5;

(E) 8;

;. O aol wo`jild witc 7a/shkk`s tck roil ho`ìld vkrtigo``y witc o spkke fh 5 a/s. Hile tck old`k wcigc tck roilho`` aojks witc tck vkrtigo`

oggfreild tf o stotiflory fmskrvkr 2

(O) 74

(M) ;7

(G)? 7

;tol

(E)? ;

7tol

8. Uck tklsifl il strildFO is 2

(O) ;>L

(M) 7; 7L

(G) ?>>L

(E) 4;L

;>LH1 ?>>L

?W

5>>L

rfudc

T

O F

;> 7L

7>

Wpckrk ?>>L

L?

L=8> 7>

O

M

x

y5;


8/13

Xieyoaoleir G`ossks


4. Hile ih tck systka is il kqui`imriua.

(O) 5; (M) 7>

(G) 8> (E) 4;

3. Uck hfrgkHhfr wcigc tck m`fgj storts afvild is 2

(O) 7?.=;L (M) =;L

(G) ==.4L (E) 5?.4L

9. Uck aodlituek fh OMv is 2

(O) ;a/s (M) ; 7a / s

(G) ; = a / s (E) Lflk fh tcksk

?>. Uck m`fgj scfwl is afvild witc gflstolt vk`fgity. Hile j mktwkkl tck m`fgj ole tck surhogk.

(O) tol (M) gft

(G) sil (E) gfs

a a

7 a

;>L

H

74?

=W

;a/s

Mv

Ov

8>;a/s

a

v


9/13

Xieyoaoleir G`ossks










?. Uck hrigtiflo` hfrgk fl tck ?>> L m`fgj is2

(O) 7> L (M) ;> L (G) 5> (E) 8; L

=. MOv 6

(O) ?>i (M) ?>i (G) 7>i (E) 7>i

7. Uck scfrtkst eistolgk mktwkkl tck gor ole tck aftfrgyg`k wi`` mk 2

(O) ?>> a (M) ;> = a (G) ;> a (E) > a

5. O hfrgk 7 4 H i b L afvks o mfey hrfa (?a, ?a, ?a) tf (=a, 7a, 5a). Uck wfrj eflk my tcis hfrgk is2

(O) ?4 B (M) => B (G) 75 B (E) 5> B

;. Hile sf tcot tck swiaakr eirkgt`y `oles fl tck pfilt M.

(O) 5;

(M) 7>

(G) 9>

(E) Lft pfssim`k

8. Uck swiaakr gol swia il sti`` wotkr witc o spkke fh =.; a/s. Tcot is tck scfrtkst tiak tojkl my cia tf swia ogrfss tck rivkr6

(O) 5 skgfles (M) ; skgfles (G) 8.4 skgfles (E) 3 skgfles

?>>L;>L

74

> ;s .

O M=>a/s ?>a/s

S

Y

v]1 =a/s?>a

A 7> a/s

Gor

7> a/s?>> atrs

O

M

v]1 =a/s

vW]1 =a/s


10/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs ;> CTU/^cysigs

4. Ih | o | | m | , tckl tck old`k mktwkkl oleo m o m is2

(O) > (M) 9> (G) ?3> (E) 5;

3. O portig`k is afvild fl o girguòr potc witc gflstolt spkke v. Uck aodlituek fh tck gcoldk il its vk`fgity ohtkr it cos eksgrimke ol old`k

fh 9>

is2(O) v (M) = v (G) > (E) 7 v

ôrodropc hfr _.9 - ?>

= m`fgjs O ole M fh wkidct ?> jd ole ; jd rkspkgtivk`y ork pògke fl o safftc ilgìlke

pòlk os scfwl. Uck systka is il kquiìmriua. Ih tck old`k fh ilgìlotifl is ilgrkoske, tck

m`fgj M storts sìppild.

9. Hile s mktwkkl O ole M.

(O) >.4; (M) ?.77 (G) >.;> (E) >.77

?>. Uck tklsifl il tck strild is2

(O) =9.5 L (M) 79.= L (G) ;3.3 L (E) 33.= L

O

M

74


11/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs ;? CTU/^cysigs


UIAK 2 =; AIL[UKW







?. O rfe fh wkidct T is suppfrtke cfrizflto``y my = strilds2

flk ot o eistolgk @/7 ole tck ftckr ot o eistolgk @/= hrfa

tck gkltrk fh tck rfe. Uck tklsifls U?ole U=ork divkl my 2

(O) ? =7 =

T TU : U

(M) ? == =

T TU : U

(G) ? =5 5

T TU : U

(E) ? =7 =

; ;

T TU : U

=. O ?> jd stkk` mo`` is suspkleke my = strilds os scfwl.

Uck tklsifls il tck = strilds ork2 (d1 9.3a/s=)

(O) ?98 L ole 93 L

(M) 93 7 ole 93 =L L

(G)?98 93 =

ole? 7 ? 7

L L

(E)93 ?98

ole7 8

L L

ôrodropc hfr _. 7-;

7 = 5 5 4 8 o i b, m i b, g i b, e i b .

7. o m g e

(O) ; 9 i b (M) ; 9 i b

(G) ; 9 i b (E) ; 9 i b

5. o . m g 6 (O) =? (M) ?;

(G) ; (E) ?;

;. o m g e 6

(O) j (M) =3 j

(G) ?9 j (E) ?9 j

8. O portig`k is afvild fl o girguòr potc witc o gflstolt

spkke v. Uck aodlituek fh tck gcoldk il its vk`fgity ohtkr

it cos eksgrimke ol old`k fh 9> is 2

(O) v (M) =v

(G)=

v(E) =v

4. Hf``fwild hfrgks stort ogtild fl o portig`k ot rkst ot tck

fridil fh tck gffreilotk systka siau`tolkfus`y.

? == 7 = H i b j H i b j

7 55 5 5 = 5 H i b j H i b j

Uckl tck portig`k wi`` afvk 2

(O) `l pòlkx y (M) `l pòlkx z

(G) `l pòlky z (E) O`fldy-oxis

3. Fh tcksk hfrgks, tck rksu`tolt fh wcigc fh gollft mk zkrf 2

(O) =, 5, 4 (M) ?>, ?>, ?=

(G) ?>, =>, 5> (E) ?>, =>, =;

9. O M O M

(O) gol lkvkr mk zkrf

(M) is o`woys zkrf

(G) gol mk zkrf ih oleO M ork gf` ilkor

(E) Lflk fh tcksk

?>. O ulit vkgtfr il tck eirkgtifl fh i b is 2

(O) i b (M) ?

= i b

(G) i b (E) Lft ekhilke

U? U=

@/7@/=

5; 8>


12/13

Xieyoaoleir Gòssks

XAG/Iltrfeugtifl tf Xkgtfrs ;= CTU/^cysigs


UIAK 2 =; AIL[UKW

LOAK 2 UKWU GFEK 2 X&H Z?>Q






?. Uck sua fh tcksk 7 vkgtfrs is 2

(O) 5 5i b

(M) ; =i b

(G) 5 7i b

(E) ; 3i b

=. O ckìgfptkr is eispògke my ?>jaeurild sfak iltkrvo` fh tiak. Its eispògkaklt vkgtfr gfuè pfssim`y mk divkl my 2

(O) 7 5 ;i b j ja (M) ?> ?> ?>i b j ja (G) 7 4 8i b j (E) ?> ?> ?>= = =

i b j ja

Hfr _. 7 - 8

4o i b

5 7m i b

7. o m . g (O) 7= (M) =5 (G) =5 (E) 85

5. o m g (O) 78j (M) =j (G) 49j (E) 78j

;. o m g

(O) 7 ;i b (M) 7 =i b (G) = 8i b (E) 7 4i b

8. o g m (O) 78j (M) 49j (G) 49j (E) 78j

4. O òrdk ckai spckrk fh roeius ?>>ais hixke fl tck drfule. O aol wkidcild 4>>Lstoles o ot ckidct fh ;>aomfvk tck drfule.Loleh

rkprksklt tck lfrao` ole hrigtiflo` hfrgk ogtild fl cia.

(O) L1 4>>L,h1 >

(M) L1 7;>L,h1 7;>L

(G) L1 7;>L,h1 7;> 7L

(E) L1 7;> 7 ,h1 7;>L

Y?>

S

;

8 =

5; 74;7

?>

S74

Y

g

;>a

Aol


13/13

Xieyoaoleir G`ossks

XAG/Iltrfeugtifl tf Xkgtfrs ;7 CTU/^cysigs

3. Uwf m`fgjs ork jkpt fl o safftc wkedk wcigc is hixke fl o

cfrizflto` drfule. Hileaih tck systka is il kqui`imriua.

(O) a1 ?>jd (M)=>

7a jd

(G) a1 4Jjd (E) a1 ?8.84jd

9. Il _.3, tck lfrao` rkogtifl fl tck pu``ky my tck wkedk is 2 (d 1 =?>as )

(O) ?47L (M) ?5?L (G) ?>>L (E) =>>L

?>. Uck ileigotke tklsifl ihw1 ?>>Lis

(O) ;>L (M) 8>L

(G) 3>L (E) ;> 7L

7>

w

U

=>jd A

7> 8>

Jee 2014 Booklet1 Hwt Introduction to Vectors & Forces

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