January 8, 2017 | Author: Darkmoon Sourangsu Grammaton | Category: N/A
,
pRAffiTtGffi pffiffiffitffif;ws TAffiGHT : n$Y-Jffiffi ffiffi$,m
nAurv
cffi
w#'g tt't6*onfi
oc€: wi
th llT-J E E
13to {5
DP,P
Class : Xll
ll,'p
t
Course Name : VIJETA
Batch : P
*g 3
DP Ns. 1 Jp r were h { 9.4.-Q$ :Q:91-o" 0 $*ES.$ sJ Tokl,Marks, : 42 lir.1qle .choice objective ('-1' negative marking) e.t to e.? {3 rnark* s rn in. ) 9unject_ive Ques_ti9ns {'-1' negative marking)-A.g to e.6 {4 nra rks 5 rn in. ) c_om:pr€hen,bioq'{'.1' n€gative ,frarking} e,r I; e.g tg rnarks 3 min.) -(no
Match the
Foilowing
negigtr*1"*"iringJ o.io Assertl.onandReafon'itao.nL'iiiivemar:king)Q.11
{.
A standing,wwe'peftern
J
2"
*T) 1t
*
kx
' (C)' Yr*'"^,cos,qot
i
fx *---al
a,sin
2n
(B) V, = a cos l
3'
,
rrnrJ
"$.i
(rrri
+ kx
1
n +-_ \ 3t 4x
\
3/
p;;itilnX .
area 2..4 cmz, at rhe surface of rhe (us6 n = 22J7,\
zp from the souice. Thewaves reach perpendicutarty I$Y*nqfffgl*lto]i1.an99 oeEctor. I he Ftatpower emitted by the source in ihe form of sortnd is * 2.2
A small cube of mass m slides down
3 ci,rc.utar path of radius R cut into
1oaw. r"rg* ;ocr
LJ ui"Ili"
of mass M. M rests on a table and both blocis *ove *'itnout friction." initially are at rest and m starts from tn" top or in; p;th.'Fi;;]ir" cube as it teaves the "-jr""t,,';oii;;
btock.
5.
i-P .,"
i ;*jf " -:i**_ i_
-
stowtyf tajr. l'l ,r J. figj. (a) Drayv tfre process on the T-V diagram. (b) Find tne maximum :lgyl ,"561-'"1 'lthe thegasduringtheprobess. "L;_ -- >s temperatureof ,ero. enclosed
in a cylinder under a piston is transferred quasistaticaly (i.e. ?991^"L!? tPmst?tg.AalprgssurelSatmandvolume4lit.tostateBls.Batmandvotumee.+ilt
.t_-,_s?_*v
.
6. .
A uniform square plate of mass m is supported as shown. lf the cable suddenly
assuprqlgcentreof massisonhorizontaliinepassingthroughAdeterminei
.(a) The angular acceleration of the (b) The acceteration of corner C.
(c)The reaction
comprchension:
io.
s]
a pulse of sourid that travets radiany outward frorn the |||fpfjffi:fy$-"l Tytq of.ffgq 1 = 't0{!, emitts
[email protected]**n to,Lo.y_"lfl_T-Ylltit"rygpted by an_a'coustic cytinoiiiai olGcior ot surface
4.
9.
i,,^5 ,
3t}"}
9]
Fiquge gt*eft$q|$ryi,P$g$F unifor:rnly c-harged, thin rod of tength L and four rrom trne rod, with ;;!'f-V;, V., V;,ar.e their- respective potentials then
V;
8.
fA
)
)ormeO.
cos ir*t + kx
J
poihbA;,$1b"*ils'At{& $ffieoii'tand;
7.
rlrin.
s,
[s, [s,
b formed on a string. One of the wavile is qiven bv eouation vr = a oo$ tCIt * kx .+ nr'3)
({*}t
=i'
[s, s] , ["tr
I min.)
then the equationof the offirer wave such that at x = 0 a node is (A) y,
Max. T{n'le : 4S mlm.
breaks, - --":'
plate.
tlyy
sU
,,,n\.r,
'\g +*/ '\ ".V" /:1
atA.
A.light inextensible string connects a block of mass m and top of wedge of mass M. The-strihg is paralleito inclin:ed surrace anJille ir"ir"o surface makes an t'[', horizontat as shown. Alt s.urfaces are smooth. No* a constant llgF 9. yltn horizontal force of minimum. magnitude F is applied to wedge towards right such that the.norma,l reaction'on blocR'exerted by wboge just nelo*"s ,eio." .- - -- ' smaoih Jrirwl i horizontal uri4ui ridr su surrfa:ce r?ue ' Tfgphdgnitude of acceleratjgfr of wedge is ;ffig tan0 (c)g sino (D)g cbso lpfg corc The magnitude of tensionffitring is (A) mgFce (C) mg tane (D) mq cotg ld nrSj .d.."e . . ^ ". F
+ [ ;' f-"u{'J'lrir-'rt (D) Mg cosecg i' column:Igivesasituationinwhichtwodipolesof dipolemomentpiano n6plare ,,,_,,i t1l-* \ placed at origin. A circle of radius R with centre at origin is c]rawn as shown tn'frgure .,' * - ii---x Column II gives coordinates of certain positions on the circte Match tne staterients - 'r .7fT" in Column I with the statements in Column II. 'tlir
The-g{agni.tudeofnethorizgntal forceonwedqeis: Ie"rt; (B) (M + m)g secO ''M (M + mlg c1.rn QTMg cote
Ho.'
_
Column I
t;#1fl-xgT'tru r.
(A)
/ -..
iI Fl
The coordinate(s) of point on circle where potential is maximum
f*F' '1
L'\--
i',t\ .i" / I -"i ' I,t:
il I
,rilj,
i'li
,-\ ..:,..
i
:
i
i
Fgg.
$qlg.r"
#
'H
"The
ll-(i t u..J,l
( R "l5n) [-2,- , ) ( .6n R) (') [T'2)
(q)
ecorr1inateisi cf p*irit *n clr*le where
6rctential is zer* [q
The cnCIrdinate(m) nt point on cirele where
I
4p
1
{-nasniturde nf electric field intensity is
iL))
-The
4ne6 Rg
f.,6nRj (s)
c*ardlnate(s) cf point an clrcle where
magnitude of electric field intensity
fi*---'-
[-f'-
12p ir a* *p
4.
z) :
STATEMENT-{ : Two stones are projected with same initial speed u, onE frorn,top.ot {6Wer (of he{ght H} at an angle 0. with horizontal and other from bottom of a tower at an angle 0r with horizontal. lt rnav
,, , *.,jffiiE'r.n ";eOrr{\*=j;ffi; Fg: No.,# 2
Gor
Asr 1.
f. t ' I
,.t.ii.. ;
feB:';p
.:l.l
6. '
'i8,
A clowd, organ p,ipe has leng th,{, ln the air it is
vibrating in 3'd overtone with nnexirnurn amplitude ,&,. : the arnp,titu;e ai,:d';isi;nce of t t7 fromclosgdendottnupipg ''r"I'Lv{rtrfr'r'Lt'ru* {? Find #" t Comprehension : Asolid&,con$'rctilrg block in'theshapeof a cuboid has a cross sectional area of zcml,a front-to-rear bngtr of 18 ctn, an'il a resi*hnce of gob o' rnsbi;k s m-ati-riar contains !l iblr*"onou"tion erectronsrm3. between its rionia;; ;;;' r";".1"' tL,o'o,masntude 200 V/m is 3,lriltgJfl3,triilEf1fl:rence "i""iH" 7. .A:..!nmg,curr:b:nt.density io Oguaiffo-rm, its magnitude is '(A) 100A/mz . ,{Wz6
hnd',.S"ib; r-1
tent-1
.
r'
N^' fdl aoo-'*, 8. The curreDt in the block is gllYA (B)2x1o4A (c)3x10{A 9. T,he dlffqOeed of the conduction etectrons is (B) S crn/s (C)7.5 cm/s ryFfrhts 10' ln :
(D) 400 A/mz
(D)4*1alzA
:
(D) 15 crn/s lies on m, block of mass m2 ,, lies over smo6th 'horizontal'surifacbi xh"iei" Tals ilm"ieinttriction a.nd m, to preventisripping "no between both the blocksi tlorje$i:ffitii ro'rces ormaoniiuoe r, anu ?et*r";;;, and m, respectiveiy as shown. March l;ii;;ilito the stateme.o with that in coiumn-ii " T; riiiriT".i t,:1,,"'*:_,i'".t" each situation:of column-I, a block.of
["Til1;
&rr
(A)
The frictio,nal,f,sr** on block of mass
q{
(r) is tolarcts
v'
The frictional for.ce on block of mass (D)
i
J
#fr"[* -fiij
The frictional,',forde on block o f rnass m,
ieconds. ojection.
r_
t,\r
rq) has rnasnitud-
\,
(c)
,+ ffin
m1
(B) : 36 min.
*t 5 L | r-il2 [ e-n1 mz /*F\
(p) has rnagnitude
l*fi
m1
{si !s rcwards riqht.
1e
The frictional force on block of mass ffi, 17"
blockA
STATEMENT-I:Ablockismovedonroughhorizontaiflxedsurfacearongacircularpath.Theworkdonebyforce horizonutsurfacl to. fi.'" ori"iio;ilt#;
of fribtion on g'iven rough
brock
compretes a circre is zer* STATEMENT-2 : For a moving body, if net displacement in a tinie iritervar is zero, ,n-,., ilr" iilnro c*n* ny a non zero constant force acting on this body is zero. (A) $isfement-1 is True, Staternlnt-2 is Tr:ue; gtatement_2 is a correct explanation for Statemenr_1
ff3gti#J,l;1.,'i,Tftl$5TfiXl#i'p:i3.;.*#"i;''i .(D) Statement-1 is Fatse; Si"i"*"rt+; iil
:CandA C along :he three L
Total fVlarks
: 31
o.3 il'J-nl:;iT:i"::r^:::I:l';.1,n$y,:r:tins)9i ehgice o,bjectilv€ eur'Grrv€ {';{' negatve rn"r1l "'!q'r'!',',e v,rvruE lt'uliipl.e r -1- n6gative marking) Q.3roto Q.4 ll!:Sy.
\
euestio_ns 1'-ri negatii" ,"rLi"gf Oll t"-O.i neg.ative ilarki;gf ,O,i io ?:g$ensio.frf,l. Assertion and Re,as.on {no, negitive marking) e.et e, 0
l2Ec .+r".t
.t-\
+
it1""u".o,,"uct expranation ror starement:-i
(3 marks 3 min.) {5 rnarks a min. j rn,,k. $E mim"} *i^ {4 ff}arks (3 snarks,3 nrin")
-. 'i
1.
lJ_".y"",:T,X.;::Jn{L:y:t?:**l?^r,flillg!.1:r"
{3 rnarks 3
nnnri"}
$Jlax" Tssm* :
[s,
(!) cqntinuously
rr
&
[$, $] r::}i 33
from the roof of a verticailyoperatins
rlltl
!i
decreasing at *." a \-'\.,r -w" rlf r/r constant rqf,rsr rL rcrtff (f IrL"riJL,;iri ili; rate thr*ur;ht r.il{:i jil[..{f'tr"1*ii, (D) continuously increasingat,constant rate thrnuilil(-ri.ii +r^;r, ii-i'r.irr;;,,
Nq"#2
il;;;
;,i{
s"r.r$ru.
trH '{j,, 43 [,s, ,!{ ,$ fiffi, 0] f,ffi,
i:HlH:13;$ff__:5fj'.'3.'nnj""::llxl,**d[{nli,$l;i;:_".;;:,,:1l8THllil'fi ?^rlrlce'showed 30 kg and 5o kg r€spoctivr L
3if
ffi]
lift ri
;mn{:i 1;*ir,\g
",i:3,",113
thr* ifi$ient clisnl * s"i illlfrfi#t r^lsrll l,s fil"
r
\ fi,
ffi
There exists a uniform electric field in.the space as shown. Four points A, H, C and D are marked which are equidistant from:the origin. lf V;, V* V. find '\,'D #r* their prrt*ntlal$ re$pffictively, then i ,*..) \ft :* \,/tt(-;" > " \iot,l 'f:: :" V '"''l "A.
ry
*-F'
ifi) 'tlr, ''* Vr, ,* Vc *
;ii;,
"ffi14oVn"VotV. (il; VntVctVntVn
\t,,
, , ., '. ' ,"
hir:nk cf mass ? kS is hansins #ver a $rn$CIth and light pulley thrnugh a light string The il'rhei '*nd of the string is puiled by a constant force F,= 40 N" At t = 0 the systern is at
$\
2
r*$t
ai$
slrcwri Then
iru
ihe tinre interval frorn t = 0 ,?
s.econds, pick up the
1";f;E6 {r%!" L*?o
r*1ilrref;'rstatenient (s) " tS = tr0 n:isl) itsion iri the strinff i$ 4S frU ) w*rk dorre by t$nsicn on block is 80 J
(ts) work done by gravity is
- 20 J
(D) None of these
4" '- [n Resonance tube experiment,
Total
Mult Subj eom Asst 1.
F=40N
if 400 {-lz tuning fork is used, the irst resonance -s,ccursrtfien tength of air column is 19 crn. lf the 4001'{2. tuning fork is replaced by 1600Hztuning forkthe#toge,tresonance, the water level in the tube should be further lowered by (take end Correction = 1 cm) (D) 20 cm {/\} s nm {B) 10 cnn {C} 15 cm
,Electric field in a region is given by E = -4x i + 6 y 3 . f nen find the charge enclosed irr the cube of side 1m oriented as shown in the diagram.
$"
Tlre arrangement shown in figure consists.of two identical unifopn solid cylindas, eaqh of mass m, on which two light threads are wound symmetrically. Find the iension
i,$,
of each thread,in the process of motion. The friction in the axle of the upper cylinder is assumed to be absent 5"
#*nmglrtrg'rmmsB*,n
Atank of basb area 4 m? is initially filled with water up to height 2m. An object of unifonlr cross-section 2m? and neighi 1 m is now suspended by wire into the tank, keeping distance between base of tank and that of objeot 1m.
7"
8.
d1)l
T-he rJervunwards
A1
(A) 2f;x'i [}.
-l-he
f
t x 1CI5 N
:
2,Jx105N
tension in the wire is
14,) fi.
#"
force exerted by the water on the top surface of the ohjeqt is (fi) (C) 2.2 x 105 N '' (D) 2.9 x fr05'N
05N
*,-ffiZx '1.il5N :
(C) 0.3 x 105 N
tD) 0.4 x
1,105 N, :
Tfim l:uuyant force on the ob.lqEbs 105 t/\i 0.1 H 105 N
:ffiTx
:
(D)04x1:05N {C) 0.1 x 105 N STATEMENT-1 : The contact force on a rigid spherical body in contactwith anotheririgjg:body ib.always:directed ru
0. 'towardsthecentreoftherigidsphericalbody..:
Col
$TATEMENT:Z : Whenevel two smooth rigid bodies are in contact ancl press eaeh o$br, tirby.exert a:contact
forceoneachotherindirectionperpendicuiaitosurfaceofcontact..:
(A) Statement-1 is True, Statement.2 is True; Statement-2 is a coiiect expiangJio, fo-i,,Stat6fiient-1 (B) Statement-1 is True, Statement-2 is True; Statdmentr2 is NOT d,correct explaiati$n f6rl.Sfutement.1 ': (C) Stateggnt-1 is l'rue, Statement-2 is
(Dfffi6ment-1 is False, Statement-2 ,.-'.--/
False isTrue
t
I W*L E-6lvw,.*4t3{d-'LA ti'l* s\ll f'11{- & S
: ,
Ie
I *W\"fi.; {.t
ftlu*
ft
e-d
"4nsi
,,,1
,,,'
.
t'l
Pg.Np. #4
1 tulrT
10.
