Jee 2014 Booklet2 Hwt Solutions Dynamics of a Particle

8/13/2019 Jee 2014 Booklet2 Hwt Solutions Dynamics of a Particle

1/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn 3> E_]-[ajutiags/Xeysiks

[ajutiags ta Eadn _arl ]nst/Xeysiks

6.(K) Fktiag - rnfktiag pfir, nqufj fgm appasitn.

3.(FCK) Fkt ag twa mibbnrngt ac`nkts efs nqufj dfogitumns efvn appasitn mirnktiags.

;.(K) Barkn cy knijigo ag kefig

B 4 ] + _3

fgm ] 4 _6

B 4 _6+ _3

>.(F) Cate skfjns wijj rnfm 68 lo.

2.(F)

d J x

] fJ

dx

B ] fJ

B J xB

J

?.(C)

Kjnfrjy, 3 6f f 3 6t t

5.(KM)

9.(M) Ib ten skaatnr fkknjnrftns, teng 8b

]atfj barkn ag dfg cy snft,3 3 B G b >88B G 6 ; fgm t t

B 4 >88 G bar 3t

68.(M) [ystnd kfggat rndfig ig nquijicriud.

Mygfdiks ab f Xfrtikjn E_] - 6

_3

_6

]

_6

B

]

_3

68 lo

]

68o]

]

]

]

J

J x x

rapn

]atfj dfss,dB

J x]

f

x

B

f

]Oaigo up

v

lv

do

fkknjnrftiagf6

Kadigo mawg

do

lv

fkknjnrftiagf3

v

Djibt

]

Do

] 4 Do ib fkknjnrftiag 4 8

dfg

G

b>88G

G 4 >88 G

>88fb

o

Mirnktiag ab

datiag

F CB

sdaate

b

B

CG

do

G

FB do


2/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn 32 E_]-[ajutiags/Xeysiks

6.(F) Briktiag ag C is upwfrm, ta cfjfgkn wnioet.

;.(M) ]en fgojn ab weike ten cjakl `ust cnoigs ta sjimn is

6tfg

mans gat mnpngm ag ten dfss ab ten cjakl.

=.(FC) Briktiag is tawfrms nfst ib ten kfr fkknjnrftns. Ig rajjigo witeaut fkknjnrftiag, tenrn is ga earizagtfj barkn ag ten kfr.

ga briktiag.

>.(M) ]idn pnriam frn nqufj 6 3

3

z 6 3

2.(K)

f o sig kas f o sig kas

36

3s ft 6t / f

oaigo up kaddigo mawg6

3t t

= o sig kas o sig kas 8 2. tfg

?.(K) Ft tap

3

d

do Gr

3

d

dor

9.(F) is mnkrnfsigo fs ten kfr kjidcs ten crimon.3

d

do kas G r

3

d

G do kasr

G is igkrnfsigo

68.(C)

3

6d

br

3 b df

33

3 3 36 3

b b d fr

3

d

Br


d

do sig d o kas

oaigo up

do sig

d o kas

kadigo mawg

wftnr

do

G

3

r

Gardfj barkn brad cuklnt

Gv

do

3d

r

b3

b6

kfr


3/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn 3? E_]-[ajutiags/Xeysiks

6.(CM) Gnt barkn,3

gntdv

Br

(rfmifjjy)

gnt atenrsB B B

Fs ten pfrtikjn davns ig ten kirkjn,

gntB kefgons mirnktiag

Fs B is f kagstfgt, atenrsB dust kefgon mirnktiag fs wnjj fs dfogitumn.

3.(K) ]4d6o

]/3 4d6o/3

d3,d;fkknjnrftn

3 ;

3 ;

3

3

d d]o

d d

3 ; 6

3 ;

3

3

d d o d o

d d

6 3 ;

= 6 6

d d d

;.(C) do ] df

] do df

] do 6 f o g

=.(C)3

D d

Ddo]

D d

33

Ddo~ do

D

>.(K)

6 3

6 3

3

d d] o

d d]atfj barkn ag pujjny, 6 3

6 3

=

d d oB

d d

6 3 d d d6 3=

d d oB

ddfxB do

2.(C) B kas G

B sig G do b G

doB

sig kas

36

dig doB

Mygfdiks ab f Xfrtikjn E_] - ;

]

d6

d3

d;

]/3

]

do

dfgf

]

d

D

Kefigd3

d6

6 3 d d d

]n

d

f 3 3 ] d o d f

]

d6o

f 6 6 d o ] d f

G

B

b

do


4/13

Rimyfdfgmir Kjfssns


?.(F) 8] kas ]

8] sig do

] do / tfg

5.(FC) >8 i kd / s

b i

frnf ugmnr tenkurvn

dfss

8 8?8 >8

8 8?

.. d / s

.

8 > . d / s

6

8 86

b iff

tidn .

3688 d / s

9.(F) Ft rnst6 3

68 2 ] o ] o

@ust fbtnr crnfligo, 6 368 8 ] o ]

=f4 2o

f4 ;o/3 4 6>d/s3

68.(C)

63

do do

fd

33

;

do dof

d;

3

3

do dof

d

4 3/; 4 o/3

6 ; 3 f f f

6.(K) 6 3

lv lvf o f o

d D

6 3|f | | f |

6

ef

6 3e e

3.(K)

]4do

Mygfdiks ab f Xfrtikjn E_] - =

do

]

]8

F C

X

8.88= 8.8885 8.86

68

B(G)

t

]3

=lo

]6

2lo

68o

=lo

=o

f

d B64 3dod

3d

d

d

do

D

do

lv

d

do

lv

3do

3do

] ]

do


5/13

Rimyfdfgmir Kjfssns


>.(F) b do sig

6838

;8

do G

sig

3d lo

2.(F)

6f o sig 3 f o sig kas

6 3 3t t /

3

6

f t 6 3=f f

;

= tfg

?.(K) 3 G do

6G b

]arqun fcaut K 4 8

6 33 3 6 > G b G .

3 3 6 > b b . do

;

5

dob

3 ; 5 b G /

5.(K)6

;

6 3

dig

doB

;dig

do /b

3 ;/63 > . loB

9.(K)

b 4 68G

do

do sig

sdaate

do sig

b do kas

rauoe

F

=

8 ; C

do

K

G6

G3

b

B

3>lo

G;8G

b

do

Gnt barkn ag cjakl cy igkjign


6/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn ;8 E_]-[ajutiags/Xeysiks

6.(F)

3.(K) Snbnr ta E_]-= [ajutiag Ga 6

;.(C) ; ;] do

6

3 3

3

d d o]

d d

=

;

do

3 65

3;

do

] ] rioet simn oans mawg.

=.(C) Snbnr ta E_] - ; [ajutiag Ga.68

2.(FCKM) [uppasn ten kfr fgm pjfgt efvn ten sfdn fkknjnrftiag, f ig appasitn mirnktiags

]+b4d6f

3 b ] d f

8] ib 6 3d d

Ib 6 3 8 d d ]

?.(F)

68G o

63 68 ] G

638 68 6;8 ] G

38G o

388 6;8 38 38 o f

33 >f . d / s

5.(C) G df

do B

sb G

sdo df

s

of

Mygfdiks ab f Xfrtikjn E_] - >

t3

G

b6do

SF

b6

B

do

G

F

d

3d

]6

]3

];

;d

G f

]

bd6o

d6

K

d3S

]

d3o

X

b

Gf

B4388G

38lo68lo

4 8.6 G

]

68lo

do

63d/s3

G

G

388

38o

f

G

6;8G

fD d

b

G

do

f


7/13

Rimyfdfgmir Kjfssns


9.(F) 8 G b do

| G B| do(Gnt barkn cy ten pjfgn)

68.(C) 688od ft rnst 688 ] od o

4 6 G

38838868

6888 6888 ] f

3>f d / s

Fkknjnrftiag ab pujjny X64 >/3 d/s3

6 6>

33

] d o d

6 3 68 > 3d / / 6 628d o

6.(C) Barkn 4 Kefgon ig dadngtud 3tidn

dvt

6;3 68 68 >68

8 86

G

.

3.(F) _n kfg writn

3 8 F C Kf f f

3

F KC

f ff

3

f b

mawg3

f b

ar

6

up3 b f

;.(M) 6 5] G

6

3

;8 ]

tfg]

3 5 ;] G

briktiag 4 3 5 ;] G

=8 5 ; b

; > 8 ;> / .


b

G

do

X6

X3

3]

d6

]688od

388od

(388o)

]

f

d6o

3]

>/3d/s3

]6

_ 4 5G

_ 4 =8G]3

;8

G

]3

=8b

f

F

C

b

K


8/13

Rimyfdfgmir Kjfssns


=.(M) ;? S Do sig b Df

;? ;? ;? do sig b kas S sig df

Xut;?

dob S S df

kas

> >

= ;

do b

S

b S

6> 6>

; > ; >

do doS b

;

>; =

> >

S Do bD

b ddo S

; 3>

6> ; > ?> do Do Do

;

do

> 63 28 do do38

D

ddo

3 36> 6> 3> 38 8 d Dd d Dd

IbD4d

6> 6> 3> 38 8 3

;

>.(M) ? ;

8 =? ;

f . o

2.(C) 6 ; 33 x x x

Mibbnrngtiftn w.r.t. tidn 6 ; 33 8 v v v

6 3;

3

v vv

6 3;

3

f ff

Ft 6t a3

6 68 3 v f d / s

3 3= 8 v d / s f ; 8 3 v d / s3

; 6 f d / s

; > 3 6 > ; v d / s

?.(C) Dfss 4 sjapn ab B f orfpe 46= =

3 >= 8

. lo

5.(K) > ;? >; sig D sig

; =>

> >

DD4 ;.?>lo

9.(F) X G

do G

38 do

X G

68 8 > > G . G

6 > 6 o f

3>f d / s

D

d

;?

Gb

D

S do

f f

C

do

b

;?;?

? ;

F K

C

x6 x3

x;

8 >.

X

G

do

G

68GG

6o

f


9/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn ;; E_]-[ajutiags/Xeysiks

68.(C) sb B G 8 >s .

8 > 28 B . o 8 =s .

;88 G

28 ;88 8 = 288 f .3

6f d / s

6.(K) 38 38o ] f 3?f d / s

28] G

3.(F)

3> 8 > 3 5 . o

C kfggat davn Ga. briktiag cntwnng F fgm C

;.(K) Fkknjnrftiag 4

> ; 6

> ; 6

o

4o/9d/s3

6 9 o ] o /

5

9

o] G

=.(C) Briktiag 4 5 G tawfrms jnbt.

Briktiag 4 3G tawfrms rioet

>.(C) Fkknjnrftiag 4 sjapn 4 33 d / s

3 lf o 8 3l .

2.(C) 63r d3f t d / s

Ft 3>t

33

83

t

4 3m d / s

r tf f 3

3v

r

; |d/ s

Mygfdiks ab f Xfrtikjn E_] - ?

B

G

28lo

B

28o

;88

G

l

G

28o

f

]

daglny

38o

f

3>

3

5

F8.3

8.>

]

; lo

6lo

]

> lo

]

6o

o/9

B6 B3

B6 4 68 GB3 4 3 GB3

tf

rf


10/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn ;= E_]-[ajutiags/Xeysiks

?.(M) dfx] bar ga sjippigo 4 = >s o

4 ;2G

3;2=

= >

f d / s

;2 = Do d

2D lo

5.(F)

9.(F)

99

;

oC o

=

doC do

=62

;

Cd lo

oDfss ab sfgm 4 ?lo

68.(F)

X B do df

B Do Df

XDB

D d

6.(C)

368 33 ;

f d / s

; 2 B f G


=

>lo

f

8 =. ]

D

;2

Do

=

]

6lo

;?

8 5.

G

;?

]

do

C

9o

o/;

C

do

o/=

C 4 63o

X

d

D

X

do

B

f f

do

B

X 4 68G

3lo;lo

CF

f

B ;lo


11/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn ;> E_]-[ajutiags/Xeysiks

3.(C)

33 ;8

3 3

d sig do] o

d

3 3; ;

3 3

] ]]

;

3

do]

;.(F) ;8 ;8 8 digB do sig kas

;8 ;8 66> dfxB do sig kas G

=.(M) ;? ;? G kas do b sig

;? ;? G sig b kas 43

dv

r

Xut b4DG4 ;G /

= ;

> > ;

GG do

3; = ;

= ; ; = ;

dv do do

r

39 = ;

= ;

v or 5=v d / s

>.(C) 6B / d

2.(K) Sfmifj barkn 43

dv

r4

3= 3

626

G

]fgongtifj barkn 4 ; = 63 G ]atfj barkn 4 3 363 62 4 38 G

68.(K)

3 68 3o f 3

>f d / s

3> 8 > 33

df / d / s tawfrms rioet

>3

3] D

= 5>

]D lo

]

D

d

;8

]

;8

]

]

G

;8

]

do

B

G

;8

do

B

b

B

d 4 68lo

;8

; =/

G

;?

6

;

;?

do

v3/r

D

3]

]

d3d6

d6efs ga fkknjnrftiag

] 4 6o

4 68 G

6o

]

3o

f

>/3D

3]


12/13

Rimyfdfgmir Kjfssns


6.(K) Barkn 43 3 6 38

6 >8

dR

t /4 3888 G

3.(M) dfxf ab kfr 4 o

36

3s ft

6t

f

6t

;.(K)

Cnbarn kuttigo

;] do

] do

Fbtnr kuttigo

;] do

8]

>.(C)

3 ] sig B 3

3

33 6

B B]

sig x

f

8 df ] kas

83 3

3

Bf xf .

fd f x

83 3

3

Bxf

d f x

2.(F) 6 3t t ?.(M) Snbnr E_] 6 [ajutiag 9 5.(M) Snbnr E_] 6 [ajutiag - 68

9.(F) Snbnr ta E_] 3 [ajutiag - 6

68.(FKM) 3 G D d o (F)

66 G sig D | f | (K)

3 6 df Df

Fktiag rnfktiag pfir 6 3G G )(M)


;do

3do

f

f 4 o/3]

3d

]

d

do

ff o

B

]]

ff

f8 d x df8

6

xkas

f

d

D

do

G3

G6

G6

do

f6


13/13

Rimyfdfgmir Kjfssns

RDK/Mygfdiks ab f Xfrtikjn ;? E_]-[ajutiags/Xeysiks

6.(K) 38

8 8>> fv

v d / sf

t .

3=88 d / s

;.(F) Ib 8CGnt barkn 4 do C do

=.(K) 8 ; B do . G

>.(K) 6

3

sjapn 6

sjapn 3

f

f

38 >6

63 ;

/

/ 6 6 6

3 3 3

> ?B d f

/B d f

2.(K)

?.(C) 3] f

; ; o ] f

63] G

5.(K) 3 6 X X

Ad d

9.(F) lf o

43

6 3 68 63 . d / s

v u ft

63 8 6 u d / s R t s

68.(K)

6 3d d

6 3

6 3

3

d d] o

d d


C

do

>8

>8

68 38 ;8

B(G)

t(s)

3>8

3>8

v

t68

38 38

f63v d / s

d3d6

Documents

Jee 2014 Booklet2 Hwt Solutions Dynamics of a Particle