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Hall Ticket Number
Z f, 6 + + + S. No. 31243(To be filled in by the candidate)
Booklet Code: C
1.
INSTRUCTIONS TO THE CANDIDATES(Read the Instructions carefully before Answering)
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A
3.
4.
10.
ll.
This booklet consists of61 Pages for 160Work + 1 Title Page i.e.
o2015E
questions + 2 Pages of RoughTotal 64 Pages.
C
Signature of the
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PRATHIBHA
Text Box
TS EAMCET - 2015
PRATHIBHA
Text Box
Engineering
PRATHIBHA
Text Box
Held on 14-05-2015
Page 2
Time : 3 Hours
Instructions :
(i) Each question carries one mark'
$:0 [r{15c a.5 5:'dj3, 5o6c.
(ii) Choose the correct or most appropriate answer from the given options to the following questions
and darken, with blue/black ball point pen the corresponding digit 1,2,3 or 4 in the circle
pertaining to the question number concerned in the OMR Answer Sheet, separately supplied to
you.
6r{,:5 a03$ 1Xr3 1i:{y5o a53a;65 d"ej6,6 SoGJS (>5J'g'$5'r:50 JSc;SC o"CC
5r'')od Los l' 2' 3 ag 4 ddcn'a')3$ oMR 5$:-g"$ i:1'!54:ef 1i>{1d'>
. (roooQoOS soq:gr{o roe355c ?r-lg-S a-el }oood5 -o 5o; '666rno1) Co{:$BS:'
MATHEMATICS
segmeirt between the coordinate axes is divided by the point
A Marks : 160
1. An equation of a line whose
/r t\I ;'; I in the ratio 2 : 3 is\z ))
a,$ "od#dq:, Cd:''6:s'g e>
Ddero eo'oei i>dd der'
(1) 6x+9y=5
(3) 4x+9y=5
/r r\[;',.] ,2:3 S"oSQeS
+-Ll6t+Jf.
tr| ${". , -\
i>d# dpeu 4x -y + 7 = 0, kx-5Y-9 = 0 o $c{g$ao 45"
(3) 3
.- \x
.o
a
aodgc k>0 se):S
(4) 5 ",, - t<.1. q
25(1) T
Rough Work . zl .)
t:<
t. , ,.Lt 2
. ^\t
' (,tl- -
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r!\L "{
1\,.'-I-rr)r\r''t\
al.-l -'uL1t -.'/
's1
I1'J' \o
q\o"I'+5 " "i
V
.-.Y q
u\\\. ' )- )
. rY'{)
\-_o
<t^ ;
L-| .
a\,
I
r! .t' 4
1= r'n x -\ C
, U( f, \. n.v
an '- L{, L
*q'o'11r
L( *- + ,?
S;{g dqr qroor$; Aoc5c$
Ss:ddca-e)(f e,5 e3
9x +- 6y = J
9x+4y:5
(2)
@
2. The value ofk> 0 such that the angle between the lines 4x-y + 7:0 and
kx-5y-9=0is45o,is
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3. The combined equation of the straight lines passing through the point (4, 3) and each line
making intercepts on the coordinate axes whose sum is -1 is
Oo5.:$ (4, 3) dcoo" dFe5r" Cdr'-":rg'e} Lbe Sdfdq)
tsr:c, o -l esdcgocod X>dd dPc: 65c3& "o5:Sdtao
CI (l* - 2y - 6\ (x'2v + 2\: o
(3) (3x - 2y - 6) (x - 2Y - 2) : 0
(2) (3x - 2y + 6)
(4) (3x - 2y + 6)
5d3dd dqrq:oa'e>
(x-2y+2)=0(x-2y-2)=0
4. If rhe origin of a coordinate system is shifted to dr,J and then the coordinate system
is rotated anticlockwise through an angle 45" the point P(l, -1) in the original system has
new coordinates
a,5 Cd.:"'oS SgSf 5.r:"o Do6c$5; <-"6,JilB $;'dc;d"o' er 5o"5'5 er $5$5S
ergi>d$ea 6{ct' 45'$ooc5f [Csceao dc$ca" Eccdc'9 $5$5ef$ Do6J{
P(1. -l) 6o51 S{ Sd;'6s-er
0 tJl,-zJi) @ Q.-2',D)
(3) (0,-2-Ji) ( 4) (0,-2+ Jr)
5' The locus of the point P which is equidistant from 3x + 4y + 5:0 and 9x+ 12y +7 =0
is
(2) an elliPse
(4) a straight line
e.:Sc r)$:'5 5J'dod 6od ao6ro P Dod.:i>{o
(2) a,5 6$$1{o
(1) a hyperbola
@ a parabota
3x+4y+5:0,9x+12Y+7=0(l) a,5 el8 "oo"5 oo5co
(3) a.,5 "oo"$ocS:o
Rough Work
' l x\- qI
- I Y'j' ", ,,
2.1 6'' ..^ .l +,/
@L'/ .\
3,.tr = rt)
b+q+
),i ,g) * zh4 t 7ul *1 : o
ebT+ 6X+( '@'
41+6"J iil1.4
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6. The probability of a coin showing head is p. 100 such coins are tossed. If the probability
of 50 coins showing heads is same as the probability of 51 coins showing heads, then p :
a,5 o'Bo e5'5ca i:d X>oz;-S5d p. eo$-oc3 100 s'ds: Jifodda'd:' 50 o-do:
z5-$ca i>d 6oqr-55d' 51 o'do.: e5l6ca 5d 5oa;-$5e!er X>$':"54:d *;';$n:
t-4951 5os{l) , O ,* (3) lol (4) lol !
rsE
7. X is a binomial variate with parameters n:6 and p' If 4P(X = 4) = P(X = 2)' then p is
n = 6, p o$c bo'CocJceJfl. r{o 65X>6 ,5oo'€ X. 4P(X:4) = P(X = 2) erood p :
(l) @; (3) (4)
8. In a certain college, 4oh of the men and 1% of the women are taller than 1.8 meters' Also,
60% of the students are women. If a student sel'ected at random is found to be taller than
1.8 meters, then the probability that the student being a woman is
(1)
dn d r{ 6: oc.
er Sg 3 1.8
4\ t iLI0,
1
614
I
,
8
11
5
11
9x11 to
r1';lt
e,5 5v-a-od 4% Q;dc'jroc, 1% \7oc 1'8 Scod 5o-d J5:65
epodmd 60% Do'5droo %7o:. a,5 Do"5!C c$,:'5;nlBon' JSc;S"S
Slc;{ (od }ddo; 5S:ffo';dc. o 569 57 .odc5 5o4-$56
(4)3
l1
6(3) 11
g. If A and B are two events such that p(fi ^X) --
t - p ( OU S)P(11 Bl= 0.6, P(B lA) = 0.3, P(A) = 0.1 :; .\/a\ + DuD _ ptao R)
then P(AnB)= 2(nug? -- Q@)+P(D -
lHere E is the complernent of the event E)
Eo6o {ue.:Ser A. B q: P(A I B) = 0.6. P(B I A) = 0 3' P(A) : 0'l eed:5i::od pfE n el =
(aS65 E esda 6ce.r5 E 3 {21d5o)
@ o.rs (2) o.r2 (3) 0.6
lyTo(4) 0.4
Rough Work LrrLrxuXtrx ll
.a31
f {nfta} J '
::
P:
ur \lpry!rv
:' t0
,!j- \ l"-,B) to
;i'\_?\v q
ft
t\
I(
IP(il (
- \( J !-.o. -
r o.f ,
3Q
: ,0 1 -o l.
t.?u1)
I'
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{0.
tl
If A and B are events such
(l) mutually exclusive
(3) exhaustive events
<trthat P(A\-/B)=1.prAi=l.p1g1=-l . thenAand B
643@ independent
(4) exhaustive and independent
{:ci:serc A, B oc rtaunt=},rfXl=}'lrni=} esdcggcod ei>ydc A, B q:
(2) (>g5o1o'e>
(4) ryg "qric$o:, $g.Joge'oc
I I . Two teams A and B have the same mean and their coeflicients of variation are 4. 2 respectively.
If oo, ou are the standard deviations of teams A, B respectively then the relation between
them is
Eodc a(:.: A, B oc e"€ Scdg$co 5Od 6o& o"g3 D,J'o;:"o s.e.D Sd",rn 4, 2
.6d.)o,!. A, B ab g5$;C'5 o o"o: $d(>n" oo, o" .lo>d a"cJ Sc{g "ooero{o(1) co = ou (2) cr- 2oo ,@ oo = 2o, (4) on : 4on
12. In a data the number i is repeated i times for i = 1, 2, ....., n. Then the mean of the data
ls
a,5 de'o{oe$ X>oP5 i 50g'i }dc '"p5o"S;6$o$SoA (i -*1,2,.....,n). o-oy6:es 5o.o{Q; $.:dg$co
2n+1
(l) ;:d53d C$Qo-o:(3) "alg $rb$oc
2n+l 2n +1 2n +l(1) (3) {4)
t3. Ila=2i-3J+s[. 6=:i -aj +5[ and E=5i -3j-2k.then thevolumeoftheparallelopiped
with co-terminus edges A+6, E+8, E+a is
a=zi*:J+ s[, 6=:i-+J+sE, e=si -3j- z[ sso>d
egorSccr:n- r{s 5$.;.odd $ c.: S"q "q:c $ "oO $.:-ea o
(1) I (2) s (3) 8 @
A+b, b+c, e+a sSo 5S{$}C5
16
t-
\'
-'L
-,'l:
sta) + z(til+: l'-rri
l
f 'uttal, ra
..-"-
Rough Work
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.2t'6'; -Y+t,
2r+rr_ \0- o
: :3 rrt, :3 k+ 6
ty-3* -s'o J ul'ri ' \?
{ q. onq n','t4. The shortest distance
er#:g S
@o
:i"t*""n the skew ri,* *l: -rll =+ +=+=T2 i'
ds:or x-3 _y -4 _z+z,1:l=!:7=L*o so{g-1 21132
5Cf cirdo
(4) J35(l) rG(2) 7
15. The position vectors ofthe vertices ofA ABC are 3i+aj-k, i +3J+[, S(i+J+[l respectively'
The magnitude of the altitude from A onto the side BC is
AABC ig"o J"5 i>a{er: $dbn" fi+4J-[, i+fJ+[,d-cao BC 3 do 6513 "o85c'eao
S(i+J+[). eoX:Yt5o A 5co6
{a4r-(l) t'v)
5r=(2) J
{5 o iJ5rqffiI ;(4) j.v)
f6. ABCD is'a parallelogram and P is a point on the segment eD divlding it inlernally in the
ratio 3 : 1. The line EF meets the diagonal AC in Q' Then AQ : QC :
ABCD a,d 55:'o6d v5 6cd,:"1a o, der podo AD C asoeJdon' 3?)
DC€qoa."drr sP C5{o ACC Q 5{ 5o:{o6' er"oy6c AQ
-AD--?4r:0"(1) 3:4 Q) a:3 @ r,z (4)
:l S
:QC
2:1
ASQef r
t7. If M and N are the mid
ABCD, then AM+AN="o$,:.odd.l"5odcpao
M, N o olld eri:y6c
points of the sides BC and CD
BC, CD
it(\
I
I
5
-l) +r(s'ttfIL
:)
to
ABCD dP Cce-o:---AM+AN=
<-rlr i- AC
t(3) AAC
) (4) 9m5
Rough Work
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-. -tot-: itl(
{;;-r-.44
J
respectively of a
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1g. p is'thp point of intersection of the diagonals of the parallelogram ABCD. If S isanypoint
in the space and Sa + SB + SC + SU = I'Sp , then l" :
$$':'oeld ,Je5rdcJao AY i
Dsg:o po65 D-odo$ P erodo'#odc bdp
Oodc{ S er$6;-, Sa+SB+SC*SD=}'SP eoood erbydc }'=
(1) 2 @4 (3) 6 (4) 8
19. If in a A ABC,
a,5 A ABCd
(1) 4:3
=3r-.thenb:c:J
:3r1 er o::d b:co\ \.4 @ z:t 14) 3:2
t, : 2r,
r, :,2r,
at2b
at
(2)
111120. 7* **e*4=
(1)a2 +b2 + c2 a2 +b2 +c2
----;-NA2-"t -ai----,
a'+b'+c'A
(4) };g;J
21. The angles of a triangle ABC are in an arithmetic progression. The larger sides a, b satisfu
the relation *.1.t, then the possible values of the smallest side are
e,5 1&qYcao ABC Sea-e:: e"S eoSlHSd &d")o$' o'S -o{ dca-o a' b er
"hb--r,-J---!--*<-<I erE boz:o{o YOf 6od es'oydc erd5o; dcaQ 5odc5 Do':S o:2a
(2)aXa+
0) (4)(1)- 3a2
Rough Work
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22. If cosh 2x = 199, then coth x =
cosh 2x = 199 ePo::B coth x =
5 (2) ;m (3)(1) ffi ,ffi ,@#
1 ,1t\\23. If cos[cot-'
[rJJ = *U""'-r x) , then a value of x is
"o.(.ot-'[]))=*n-"rx) *o,d x e a,s 3s:5
1
G(l) (2)-1fr
)0c {o
24. The number of solutions of sec x cos 5x * 1 = 0 in the interval [0' 2n] is
cpoddo l},ztr,l .f secxcos5x+ 1=0 g
(1) s (2) 8
de:
a,){5o boqrS
(4) 12l0
"lp
bI
pa-f:$" -u
25. IqaAABC,ZC=r31, ' then a+b+c - a+c
=
AABCd zC=: ePo::d5
31a+b+c a+c
Ib+c
2n^c(4)
I(1) a+b
(3)2a+b b+2c
Rough Work
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,6. IfA = sin20 + cosae, then for all values of 0, A lies in the intervalA = sin20 + cos40 coood 0 erCy Cel$o*r' A dod goddo
C| rr, zt o' [i'']
2.7. If f(x) is a real function defined on [-1, l], then rhe real function g(x) = f(5x + 4) is defined
l-r rl l-s rsl(3) Lr';l (4) L4'16l
on the interval
f(x) a9da [-1, r] :r Cd5s6
Sd5$e5$.:dc5 eroddo
(1) [-4,e]
o"!5 pdco5cp:d o'QS lbdooJco C(x) = f(5x + 4)
(4) I-3,e1
28. If f : N -+ R is defined by f(1) = -t and f(n + I) = 3f(n) + 2 for n > I, then f is(l) one-one (2) onto
(3) a constant function
f : D.I --+ R. C f(l) = -1, LbA
(1) erdgSo
(3) ?;d 1X:S;o5oo
ffif(")>0forn>1/ t-/
n > I 3 f(n +f1) = 3f(n) + 2 n" Cdggro ae.oydo f: (2) 6ogr{!o
@r"on>iBf(n)>o
,o The remainder of n4 - 2n3 - n2 + Zn - 26 when divided by 24 is
n4-2n3 -n2+2n-26b 24$ qr.fo.Sn $dg Hxlo
(?) 2t
'\,4'\)
I(1) 20 (3) 22
+'.qj
r\o
KT .. \.,,. q\
-n .-|Y U"
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A++'1.! +v'+
iz3x+l z*Lt I :**t
x2 +1 Zxl+1 3x2+1
.\
, t) -- (0?'*t1x 1 lr) ' ' ))
.l. {lr-r)(x)'t)/
+r)(:r)+il - (lr*f) (Ilri))
rfr.
tr+r) ( , r*
+r) f rr?))
(2) 24
* (t-rr (rr,u*) J -
()x+J) * frloIr
)titr
)
,lrV
1?r
I r [6,* '1"l- ' IF,.'""
t
t/oi","' *I
+ Ja1*;a*=
' 'f l'ffr
30. A(x)=
31. Let
be an
(3) 2
=ax4+b.x3+cx2+dx+
d c>: EOro
6rc
fr*'^'d''
(4) 4
Iit ,-
o*)"x2+x+1 x+1 2x_ 33x2 -1 x+2 x -l
x2+5x+1 2x+3 x+4
a, b, c,
,Ji
axr.t1'll -lt-I -rt'+
(:$;'56 ec5:$o&.
-3)
el!>'sdc e DoS
(4) e
r-r) [f*r.r) - (t]+tr* r)
'r){ut\'lr?.?)r 61+8
rt+tlr+ u)
(1)
'l
5ds
29 I
rrr)J:r).r ri
(trt- r)r lI-l (
Rough Work
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rt- r>r,-,J -'fre-rt *6xr.rr rr,'r)
I
I
t,
l) " lrla dy- A
(r*+r)o-x +
eQ
x2+x+l x+l Zx-ll \3x2-l x+2 * - I I = ax4 * bxr + cx2 $x\ e'r I .X ,/x'+5x+l 2x+3 x+al ,r, \t
{+identity in x. lf a, b, c, d are kleraal; then the value of e
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The system of equations4x+y+22--5x-5Y+32:109x - 3y + 7z -.20
has(1) no solution (2) unique solution(3) two solutions (4) infinite number of solutions
55c5dee-o 5g$5/*+.+r-:<x-5Yr 3z-109x-3y+72:20€t
(r) &{s dd) .@ 5Es i"{s 6oa(3) Sodc &{5oo 6 .)oD (4) er5od }{5er 6 o')on
If 1, w, ul are the cube roots of unity and if cr, = w + 2ul - 3 thencrr+l2cr2r48a+l- -c\ tUtttf(t1
l. *.w2u: 5ss'q {::s $:.:.o-w, tr,=w+)*2-3 epood o3 + l2a2+ 48cr
(1) -63 (2) -62 &t -or (4) -60
If cr, p are the roots of 1 -t- x + x2 = 0 then the value of oo + 0a n o*p* :cr, B e:r 1+x+x2=08,$c:.crEd arbydc oo+ 0o*o'p* =
(l) 0 @ i (3) -1 (s2If cr, p are roots of the equation x2 * 4x+ 8 = 0 then for any n € N, cr2n + 92' :cr,p er: x2-4x+8:03 $al'e:"Ed, 1i:3 neNScr2n*B'n=
1l; 22n*rcosll ffi ?3""o"Y 13; 23n*1 cos,ll (4) 23ncosll
If o, B are the non-real cube roots of 2 then o6 * P6
o.,pe:': 23 r"Sdcrd d>c55.:l.c;-Ed o6+p6=(1) 8 (2) 4 @2 (4) l i,
Rough Work
)\. >,\r
r0Q
r+ pft u
('r g$-rrt$' "'
uq+ 2!
..1' \ \x
....+\.' '
... -,{1l .*YF
)
*
.t'1'
.\
t
It"
)'
+
o
f*
.,.
,%
+\>
qt,.t
t\.}
+.
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37.
ALet o ;c p satisfy cr,2 + 1 : 6cl, P2 + 1 = 6p. Then,
--oaD
o+1' P*, tt p'- 6F+t
cl*Fw a2+1:6cr,P2+1=6Pc
$::. e.r. o: n' r{o ${ "oScSdeoo
(l) 8x2+8x+l=0(3) 8x2-8x+1=0
the quadratic equation whose roots are
*'-6{*':od;'g'odclo5;ScSoE. er'oyd. #' fr .*,
@(4)
8x2-8x-1=o8x2+8x-1=o
38. The set of solutions of lx l2-5lxl+4 <0 is
lx l?-5 lx l+4<0 3 3"{$o 6Do&
(l) (-4. - 1)
(3) (*4, -1) u (1,4)
,o
"^t.(l'*.*'nril
+ T,.;i,'1.1: '
(4)
@(4)
(1,4)(-4, 4)
39. Let a, p, y be the roots of x3 + x + l0 : 0. write al =UP'p, = p*rY'It ='ff ''nt"
the value of (of+pf*vil-*t'i +F? *ril is
o, p, y .o x3 + x + 10 = 0 g S.r,"eroscSo6 o,=9f'0,=p*rY'Y,=? "'
o.c$co6. er!:yetu fr?*p?*vil-lto? *gi +1f ; a*s
1(1) 10
1
=5(3)
3
l012
Rough Work {r. 1trxii-ax\<-
..3
+a -377q)'r tt " .3
,J ?? - 3a +7"1" -
))(^,t',) |2 {)t '
{tr.'l)i }a{ })iil-13,rt---'f
Z
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40. Suppose cr, p, T are the roots x2+(a+0-2y)(g+y-2o)(y+c-29 ) .t--;-ll.- " .l[ B ,l''cr, F, y q: xl+x2+x+2=03 $u.e,-oScSo&. e'oy6c
(or 0-zy)(0+y za)[y+c-20) r**l. , .lt, " J[-B )"*-
Aofx3+
47(l) -; z
A1
@; ) -47
+2=0.Then the value ofx
(4) 47(3
t0
41. I(1)
(40-r)r,\-5 -
o'c, - 'oc, (2) 4rc6 - 3oc6 o,c, *,0c, (4) alcu@
42. The number of diagonals of a regular polygon is 35. Then
polygon is
a,S ld5c a-o"odce CSo-o 'ooq:5 35. e a'o.s{ceef0
(1) 12 @ e (3) 10
the number of sides of the
aYozr"s K:oa:e. ,E)
(4) 11
.)3 I 3x7Il\-43. x=l+-x-+-l- |l! 6 2t \6)
3x7xll f l)3 4+-l-l+..--.----.-x3t (6/
(2) s4 (3) 27Q8r (4) 8
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A44. If I x I is so small so that x2 and higher powers of x may be neglected, then an approximate
'"';:: 2-)-,,,,< (*;r) )c,.,r,^)(r,
Ir+{x | (l-lsx;-trs\ r.i _is \ - t5r))lt.rr(rt- A-"/- \z /
x2 $"0 cS,:> erlo 'q>.r. o. e.:Sc 55O dc$:6n5ercn lx I C.oc$ ea& ei5c65n aoder i>; a5o
[,.1.)-'(r-r5x)-rls(2 -3x)a
1r; |1'*re
6eJ-o$ob) Ce.:rS
l,t-r,.i16'
(3) 1-7x 1oy ft,*r*1
45. The
l*l
(1)
coefficient of xn in
1<t E
-
x2 -5x+611
2r-l 3n-l
11(z) ja- t"a
Ithe expansion of -;-- forlxl< I is-
xz -5x+6
&5dmet' xn dcea 5o
(4)zn+l 3n+l 2)
46. In a A ABC, the value of ZA is obtained from the equation 3 cos A + 2 : 0. The quadraticequation, whose roots are sin A and tan A, is .
AABCS ZA Ds;$Sc 3cosA+2=0 egH X>Sc5deao Sco.,) YScS6o";d:. er(:yd,:sin A, tan A o$c $.r:. cr" e:.: n- d e) Sd i:Sogdeao
@ u*'-J5x-s=o(4) 6x2+r6x+5=0
(1) 3x2 +r6x-5=0(3) 6x2+r6x-5=0
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t),
1)'
in. List II
r$ea*od ad6d$:S>
a l\2
r),
I
l;':tI,
(iv)(c)(c)(f)(d)
Rough Work
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48. The solution of the differential
er$Sq5 SScSdeao xy' = 2x(l) e)/)'-r ln lcx | = Q
(3) e)'/x = ln I cx I
equation
e-vll + y
xyt = 2x e-Y/x +
c ${syts
(2) e-Yt*: x + c
@ "t'* = 2ln lcx I
49. The differential equation of the
constant, has the degree
a * 0 cU.r.d;SpS "5d bo+g
ep$ $erS X:5,:$deo eJddO(1) 4
@t
family of curves y=a(+l, *here a * 0 is an arbitrarya
Ier$5:., y=ax +1. g6 Sr"Oo.Ja:d $ gs.o S{re)Joa.r""pa
(2) 3
(4) 2
The area of the region bounded by the curves y = 9x2 and y = 5x2 + 4 (in square units) is$ger y -9x2,!:5x2 + + oS boaf;p5 LX)d{ Ez.ogo (Jddip oJry.Ce;ef>
50.
(1) 64
32(3) T (4)
64
3
16;J
T/2
sl. j0
l6x sin x cos x dx
sin4x + cos4x
_2(t) ; (2)
n2
2 O"' (4) 2n2
Rough Work
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I
s2. I0
/i;,-1/l+*
dx= r-1l+ ,L
, r-X'Tfr r,-ff),l.q;-'(3) z- 1
n-+l2-3n.,)
I-i'l n' ''
A)
(4)
t/v(rt\ tV
Irt,'r x; Jtt
i r-K
sl. rr [-{:-;dx = a log (*z + 4x+J x'+4x+5 + k) + constant then (a, b, k) =
+ "od Sopg, erord 1a, b, k; =
s) + b tan-l (x
Jf#;* = a log (x2 + 4x + 5) + b tan-r (x +
(2)
k)
(l) (i,,)
o .(4) (1, 3, 2)
(3) 2
/@2
(4)
Rough Work
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ss. J.
(1)
.l-* mn-l 1e*; dx = f(x) - I log ( I * e2' 1+.I
e* - e-^ tan-l 1e*;
= f(x) =
(2) x2 + e-* tan I 1e*;
(4) x - e-x tan-l (ex)
O ** tan-r (ex)
2+x_ dx=J
8rn) ?)'Dtztx.)
,r. "o.-'lr'l-fr=*.\L) \ ) I
rar 2 sin-t [l) - .[- -' *.\ .,, | ) I\- /
.in-r I I ]*trl ^[4-t *" )+I*{'70."'
'".r"ltJ_)- .
tJ. - )n/
(3) sinr(f-.,4;....' ,
+i;* i,r
57. Two particles P and Q located at the points with coordinates P(t' t3 - l6t * 3)."?'e(t + 1, t3 - 6t - 6) are moving in a plane. The minimum distance between them in their
motion is
c dJ.{: s.eD P(t, t3 - 16t - 3), Q(t + 1, t3 - 6t - 6) oJ rler Dodc$o 5d do 3o6c
Sea'er P, Q el a.S X:$cderoef '5OQo'}o::. o'03 'Je$oey a'e3 $o{5r{o eo"55o3
d.:-do
(1) I (2) s 49@(3) 16e
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58. 'Define
.f
' (l<x<2)I x (0<x<l)
f(x) = {[ 2 - * (l s x < 2
Then Rolle's theorem is not applicable to f(x) because
(1) f(x) is not defined everywhere on [0, 2] @ f(*) is not continuous on [0, 2]
(3) f(x) is not differentiable on (1, 2) (a) f(x) is hot differentiable on (0, 2)
(I x (0<x<l)f(x) = {t^
[2-* (l<x<2)
n" c65.)o$5r. 6i (x) 3 66E' '")6'050 S00.5t5:, Jot$S0d
(1) t0,21a"9o3 f(x) cdgsdo s'da$ (2) t0,213 f(x) erDr))$}o s"c5c
(3) (1, 2) 3 (x) cp$5o5oJoo s'dc (4) (0, 2) 12 f(x) eSSoSoico 's'5o
59.. An equilateral triangle is of side l0 units. In measuring the side, an eror of 0.05 units is
made. Then the percentage error in the area of the triangle is
a.6 b5ca:"o's Lsqica'e) a/cao &5$ l0 o5u's$:' er qYcao Sodbi:yt$ 0'05
. osoJ"c Q 54iro &0806. as 13 aJca Ea"oSoef 5nA 4".! o
0.5(o(1) 5 (2) 4 (3) I
60.
:
If the lines y = - 4x + b are tangents to the
X>df tapo 51So
@ +2
y = -4x + b ;rliJo rl:
(1) +4
tcurve y=' , then b =
x
y=1 e x>36p6epd b=x
(3).+r (4) +8
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6t. tf x=t-{.,n"nl*./Y
-=t-_{ eso)d,I * ./y
(t) -2y
r* * rr d'{ *f 3[vj 1) dv
=' 'dxz I Jv )d*
,..,,#.[#)*=@-v (4) v(2) 0
,)262. lf *'*y2=t+l and x4+ya=r2+-1 .,n.,.rrji=
x'+y'=11:t
(1) -l
tl.t4. x +y =t-+ ? eioJ)d,
(2) -2
rdvx"y=: ='dx
(4) xy@i
-, [:*-*3) ,l, 4,.-q*3 )63. rf y=ran'[,_*r1.,* ,[i;{7.,1 o,.,
y = ran -r ['* - *] l*,un '' f 4* .4*' , I *o..d(l- 3x', (l 6x' +x' )
t lL..dy=dx
dy=dx
(1) (2)l+x2 l+x2l+x2 l+x2
Rough Work31 -).3turt-ur)l- 3a2 + l' 61a +
^\
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r
64. The value that should be assigned.to f(0) so that the function f(x) = (x +a1 x:0, is
x = 0 5d $rdcc$co f(x): (x +DscS
(t) e
l)cot* epD,),) 515:d:3or (0) 3r, d" O6
11\ ?
1)cdt x 's continuous
t gr. oc: o,5 s o ?.: $
(4) "-r&s
/@) "'r' (4) "-r
(2) e
6s" tin, lrun l,n *1)-1"- =r..+oj t 4il
(1) e2
66. A plane meets the coordinate axes in B e, R
/, r l)['';'rJ. then the equation ol the plane is
a.( i:$:deo Sdr-org.oS;, Sd.on p, e,i, l r\['';';.,J erosd er b$ce!c.: 55.:Ydeao
(l) 2x+4y+32:5/3t)x+4v+62=5
respecrively. if the centroid of A peR is
R od 5ei{o8. A PQR {oqd qrto
(2) x+2y+32=3(4) 2x-2y+62=3
67. If the extremities ofa diagonal of .a square arc (r,2,3) and (2, -3, 5), then its side is oflengrh
a,d .5-5cdgK:Xp a,S eSgX?) S.So; (1, 2, ,, e, _3, 5l epo::d o"C dcaXp &di3(1) J6 (2) 15 Gr Jis (4) 3
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A(4, 3, 5), B(0, -2, 2) and C(3, 2, l) are three points. The coordinates of the point in which
rhe bisector of ZBAC meets the side BC is
A(4, 3, 5), B(0, -2, 2), C(3, 2, l) er> $::"do Ooctu$cr:. ZBAC
BC 3 SOro 0od: C d.r""o s'er:
Br:Sp 5$r6gpo65de)
/rs + tt\(r) [T's'T.,l(s z l\
(3) [t's',tJ
*(4,\\\'/'/
,f"///
717(a(
I'0,1.]:) )l
12210{
\(t9+2\
69. The product of lengths of perpendiculars from any point on the hyperbols 12 - v2 = 16 to
its asymptotes'is
ec& 5o'5eo5ro x2-y2=168 o"cp 5dc ooac6 $coa o'c ar$o6 5362d+:o$:
l(o ooa: d:-o"o oqr o
(1) 2 @)4 (3) 8 t6
(x+v-3)' (x-v+l)'70. The centre of the ellipse "' ' '' -' *'- ' ' =l i5' 9 16
(x+y-3)2 . (x-y+1.12 -,-:---:-.:-+-= r 3 toLdo916
("i-r)' - S )--q -
6d$reYo
(1) (-1,
o (-1,
*1111-l>u1+l
,bz)
-2)
(2) (r, -2)
(4) (t,2)
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v2 v271. For the ellipse :'+i'=1, a list of lines given in' 25 16
equations given in [,ist IIList-I
(D Directrix corresponding to the focus (-3, 0) (a)
(ii) Tangent at the vertex (0, 4F.-- - (b)
(iii) Latus rectum through (3, 0)-- --- --- *{c), (d)
(e)
(0
7)6d5"1d-o **l=r B a-Ds. I dc de,res)do sr 25 16
d'AE -I
(D r"8 (-3, 0) B essra:o{ DcSreS dq:
(ii) tdo (0. 4) 5d 53dpdq(iiD (3, 0) o'go. Ed; o.Q ooa:o
List I are to be matched with their
List-II
v=43x=25x:3y+4=0x+3:03x+25=
a.Ds. II dC
a;'0e-II(a) y=4(b) 3x: 25
(c) x=3(d) y+4=0(e) x+3=0(f) 3x+25=
X>5:Sdea"oS adbd,:-O
The correct rnatching :
5odJ5 dA :
(i) (i0
(1) (b) (a)
(2) (0 (4
O", @Y(4) (0 (a)
(iiD
(e)
(c)
(c) -
(e)
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72, IfP is a point on the parabola y2 = 8x and A is the point (1, 0), then the locus of the mid
point of the line segment AP is
5o.Soc$co y2: 8x 1o P e.5 Do6:$, EodoS; A (1, 0) eoood dqr.po6o AP
$.:{5 0o6$ 6o5; Eedcl>{o
(i) v2 @) v' = 2(2x + 1)
(4) Y2=2x+1
73. The equation of the parabola with focus (1, -l) and directrix x * y + 3:0 is
(1, -1) C o'Q n"$.r', x - y + 3:0 C Cc$ce5dq:n- SOES 'o o.$ ocSr'"p -o$r5dcoo
(1) x2+y2- l0* -2y -2xy -5=0@ r' *y2 + 10x -2y -2xy- 5 - 0
(3) x2+y2+ lox + 2y -2xy -5:0(4) x2 ry2+ lQx,2y +2xy 5=0
74. The equation oIthc circle passing through (1.2) and the points ofintersection olthe circlesx2 +y2 - 8x-6y +21 =0 and x2 + y2 -zx- 15:0 is
$)q* *'*y'-8x-6y+ 21 :0,x2+y2-2x-15=0e.:.po65 Dodo$o i{co o-
id6,:. Ood;g (1,2) o-5o" erd: S39 i>Scddeao
=4r.,1)\ 2)
r1(3) Y-=x--
(1) x2+ y2+6x-2y+9:0
O *'*y2-Gx-4y+9:o(2) x2+y2-6x-2y+9=0(4) x2+ y2-6x+4y+9=0
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two circles (x - a)2 +,,
v- = a2 and15. The length of the common chord of the
x2+(y-b)2=b2is3oc5c s;o'o: (*-a)2 +y2=*,x2+(y-b)2=b2 o '65036 a:-5 dn6$
aba)m-a+b
(3) EF ^2 +b2
76. lt (4,2) and (k, -3) are
then k =
*2*y2-5x+8Y+6=0k=
l ilr28
conjugate points with resPect to *2+f-5x+.8y+6:0.
i>oc$.::r{3 Do&$Ed oirY6;
3(4) - 2s
6r&-e , (4.2), (k. -3) ocaao r,1r'rtYl
(Dt 28(2) -T (3)3
28
7?. The area (in square units) of the triangle formed by the tangent, normal at
circle x2 + y2 = 4 and the X-axis is
Doc$$ 0,.6) S{ $36o x2 +y2=4 6::51 Xrld;dp,
5d3dd lAaYpa pa'ogo tr56d{p qJ.}r"Str.d)
(l) 4..6 @ :r1 (t) zJj
erQooo dq:ex'
to the
X-er$oS
o,J1r
RoughWork is.r,*1{trr r ..* {},+ )tt ),} l,\ (It.l g}).1 6' (:
,.\,_)\ -< I t,+16) t rr ( a-Dt 6,(c'ft')t rt-,l(r')+()trr it \
up..6 *" t*p'Q+6''o
u(- e -,o't+ +x2a 8oqr-16-{-L*2 'o
' ,r-- ,ne = z_E.? r
,/,'r-{t2
9L-=r9
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The value of a, such that the power of the
x2 * y2 n 4x - 6y- a = 0 is -16. is
$3.5o x2 +y2+4x-6y-a=0 6l*S Dodcd; (1,6) c.::51 Oodc {B -16
a Dsc$
{1) 7 (2) 11 (a" (4) 21
79. The line x + y = k mebts the pair of straight lines x2 + y2 -2x- 4y +2= 0 in two points
A and B. If O is the origin and IAOB = 90o then the value of k > t is
x2 -y2 -2x-4y I 2=0 -o.:.r)od "od#dq:- c$.::n-2 C'1 X>6fdq:. x+ y: k. Sodr, c, ci" ..
Oodc$e.r: A, B o S{ q:o8bro6. O $,u'o Dodc$, /AOB:90' epor:d k> 1
lL.'-
(3) 3
point (1, 6) with respect to the circle
e, oJJ ( eJJ
re)
80. Two pairs of straight lines with combined equations xy + 4x - 3y * 12 = 0 and
xy - 3x + 4y - 12 - 0 form a square. Then the combined equation of its diagonais is
Bo6 X:d# d q:. c$,::n 3oc xy+4x -3y-12= 0,xy-3x +4y'12:0e)r z,(
'5d.:d1-5o 5d3dcbco";oo. o"S CYgo a$c3& 55c5deao
(1) *2- 2xy +yz +x*y=0
(J) x'-Y'+x-Y:U
Rough Work
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PHYSICS
lil. The moment of inertia of a solid cylinder of mass M, length 2 R and radius R about an axis
passing through the centre of mass and perpendicular to the axis oi the cylinder is i, and
about an axis passing through one end of the c1 linder and perpentiicular to the axis of
cylinder is 12. then
M 1d$go"€, 2R $6$ $cocU.r: a'5i"{$:: R gOnS
a665 ge-$.:S$o, o'C $$go"A tol6o rfcoo" dodc'
aod er{o {>don- I, S'>O c$r: "g,:'"o $;: do56 a"( ,)$d
e)oaofi' aod esso Sdon' I, eoo::d, er6yd.:
a.5 -4:5 "3:-{:5,:: 6::51
o-C er$ $o$ 5: c>o?.Jon'
5oo& d o:: o"C erg'C3
(1) Iz <
t,(J) ll
12-Ir:MR2
rz =1Ir 6
(.4)
Il
19
12
82. A body of mass I kg, initially at rest explodes and breaks into three parts. The masses of
the parts are in the ratio [ : I : 3. The two pieces of equai mass fly oif perpendicular to
each other with a speed of 30 m/s each. l'he ,,elocitY of the heavier part in m/s is
D{;o 'oeeJf $51 l kg 1d$5o'€ ,{e., 5Q$ Dd{3b55:: tso5 So"d: qrrl"ern-
I&dr6o;:o6. cr qln-o 1d$go-{coc l:1 :3 rlr;eet' fu51D 3$J-J 16$5o"{:oc
do EodJ ql rr e.:c a,do:SS'g€ ooe.:on' a"S'63303 30 mls dr{o*f Jfl0 dr{o::5D
Cr-dp$ 4-r1$J: 6o56 dr{$o: mis 64
(i) ro.'E (2) 6 @)3 (4) 6.tE
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83. A particle of mass
Y=8cos[100t+
4 kg gdS5o"3 r{e>
S5:Sdeao Y = 8
(1) 128 J @ e+t (3) 16 J
4 kg is executing S.H.M. Its displacement is given by the equation
n/4] cm. Its maximum kinetic energy is
a,5 5ea5$ 'od# fr.o'e535 .JoSo dcSo'JrS;6. o'C f51eYo{ocos[100 i + xt4l cmn" ao:;dc. o'C t{0"6 t13a{$
(4) 32 t
84. Infinite number of spheres, each of mass m are placed on the X-axis at distances 1, 2, 4,
8. 16, ........ meters lrom origin. The magnitude of the gravitational field at the origin is
cl5o6 5o+gey $5y 6^v"oo, a"9653.e3 m 16$5o"3 SOnSD, X-e$oic Sr:'oOoc5:$
Scod 1, 2,4,8, 16, .... 5ce.r{ do-o'od 6o')a'dc. S::.e>Oodc$ $5 t{odc"55
$ p l>O$:.ea6::
2^(l) lum Gm (4) 6 GmA
(2t a
Gm
85, When a force F, is applied on a metallic wire, the length
is appiied on the same wire, the length of the wire is Lr.
LisF, ed aro5o a,5 ct'""r$ &x-o 6:o:"non5i:y6c,ao5:: epd &X3: gSa>noS5'oydc' 0.{ }6$' L2.
of the wire is L,. If a force F,
The original length ol the wire
ef6-xu 6d sdg L,.F, erd
SJ-OS &r( &6$ L:L1\ + L2F2
(1) F, +F,
FiL2 - F2Lr(3) Fr J,
Lz -LrFr +Fz
F,L, -F,L,@) -i;;
Rough Work
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A1000 spherical drops of water each 1 0-8 m in diameter coalesce to form one large spherical
drop. The amount of energy liberated in this process in Joules is
(surface tension of rhe warer is 0.075 N/m)
a,S65; Eo5:g a"5(>$:: 10-8 m gS; 1000
1{ 6av-s-d Dodcg 5O3aSa. & (r1So5:df
(5d de"5sEd = 0.075 N/ml
(l) 10.75 7r x 10-ls
@ *es 7r x 10-15
87' A thermos flask contains 250 g of coffee at 90oc. To this 20 g of milk at 5"C is added. After
equilibrium is established, the temperature of the liquid is
(Assume no heat loss to the thermos bottle. Take specific heat
I .00 cal/g 'Cl
e.5 {o'35 }51 90.C Sd 250 [o.. s-"ac SOn go6. 6Cg 5.C s{ g5l 20
gn-. #o,: SO"oo-d.:. 5$ce. "o& 5O3aS ddco.eJ 1dS$o adrr1,{"5,
{}56{: 5 5;'pdx,o 6'o s{rs.p dddddsrso&. s.'".), }o., sSdf{r$o 1.00cal/g"cl
@ 3.11"c
(4) 37.8'C
(2)
(4)
ffv-s-d 5e3 0odr4;oc 5O"o a,S
a6p$;$rdcg {9 B>eJo, *-#pet'
6.75 n * 16'ts
3.88 n x 19-ts
of coffee and milk as
(1)
(3)
3.23'C
83.7 "C
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A copper rod of length 75 cm and an iron rod of length 125 cm are joined together end to
end. Both are of circular cross section with diameter 2 cm. The free ends of the copper and
iron are maintained at l00oC and OoC respectively. The surfaces of the bars arE insulated
thermally. The temperature of the copper-iron junction is
[Thermal conductivity of copper is 386.4 Wm-K and that of iron is 48.46 Wm-K]
75.cm o.B 5{ Scoo:r 125cm a$;i: S€S &So"C 0$d a.Ss3 Ser:X:o8SC. ?o6.r"
2cm o.5b$oSy 5;e"s.d Scdgdpo"Sl SOn $SyD. o'E $cOc$.r: aSc$;: ro5':'1
.')$ dq: S d(: n' 100'C 5c0 cS:: 0"C $ { 6o0o"d:. 5$ o 6X:O elo'o: 6f a:o{ 5$.r:
dc$ca&53. o'h-a$c5* SoQ 5{ 6f666* r'-.r"S65S:> 386.4W/m-K ScOcSr aScS'r 6$ a'-o"5eI35'r: 48.46W/m-K)
(2) 0 "c @ el'c (4) 50'C
( o'R
(l) 100'c
89. 1 g of water at 100oC is completely converted into steam at 100oC' I g of steam occupies
a volume of 1650 cc. (Neglect the volume of I g of water at 100"C). At the pressure of
105 N/m2, latent heat of steam is 540 calsig (1 Calorie : 4.2 Joules)' The increase in the
internal energy in Joules is
100'C S{ I g 5i3C 100"C $6 Q!"}n" erSon" S;'d3o656. I g e$o 1650 cc
fu56oSroo$>5o e15aco$o6. (100"C Sf 1g 5ti fuSSosrea"C1o56ef3 o?o$sssUo
ddol.6oASSr: 105N/.m2 S{ e5o arh;C$$ r{c{$o 540cals/g (1 3e6 =4'2
d.dop). eso6{6 {gef :,)drrtSo, d"fpe$
(1) 2310 @ ZrOr (3) I6s0 /1\ '15n
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90. R.M.S. velocity of oxygen molecules
hydrogen molecule at N.T.P. is
N.T.P 5d ecSre5 ereac$o R.M.S.6.J
R.M.S. Srtsn
(l) 4 km/s
@) 3 km/s
at N.T.P. is 0.5 km/s. The R.M.S. velocity tbr the
d,{$o 0.5 km/s. N,T.P. Sd eecaJOe
(2) 2 km/s
(4) 1 km/s
l:-i66aS
91. A thin wire of length of 99 cm is fixed at both ends as shown in the figure. The wire is
kept under a tension and is divided into three segments of lengths lr. lrand /, as shoun in
figure. When the wire is made to vibrate, the segments vibrate respectively with their
fundamental frequencies in the ratio | : 2 : 3. Then, the lengths i,, /r, /, of the segments
respectively are (in cm)
6irocf ,Jr.bSirc 99cm $6g $5y5513 6i{5c Eodc ,.)Sds EBo,t -osa:6o6.
&X e,C "55ge5d -obz:&o6. ec &i{Sc /,./, $:EcUo /, }dgoo aodbo: $rr.d:
e:llrberr n! i>Clod !5J-".)S CN Dd€oba:6o6. ec 0aJSc {o-o$5): do.r:o,)$X>ydc, &r1
$crdc qryn-er: $dcbm o.e3 pdlo5 n'5:Qo.5e.:ef l:2:3 Ci:;eS SoX>S$;:
Bodce.oo. eo'oy6.: e, a.:rrpel /,, /r, /, Sd $e.:,: $dbn (-oo,5c.od)
(l)
(3)
27, 54, 18
54,27, t8
@ tz,zt, s+
(4) 27, e, t4
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92. Three thin lenses are combined by placing them in contact with each other to get more
magnification in an optical instrument. Each lens has a focal length of 3 cm. If the least
distance of distinst vision is taken as 25 cm, the total magnification of the lens-combination
in normal adjustment is
a,$ d15${$oe$ $v6c 5ep$S gtrs"or a,$o"S$ 4,503 XrSdPef -o$ $o6:'do
dh JSc65 ec$dSo S"oo erSco';dc. g50 5{.:So 6r:d3. o'e,r5odd$cc 3 cm.
Sl* Al:* 55$ c!"do 25 cm m Sfofod er dc.>s'o. (:o6rl{o 6r$tr Eo6o
eg$dSo, ilo'deo Sdra'dr:e5fc
(2) 26
(4) 3300
(11
o
93. A convex lens of.glass (p, :
liquid of refractive index (p,)
n"Oef a,5 n'ar' (P- = 1.45)''g
1.3 5LgC5$ r$eaSo (p,)
(1) 3.e
(3) 0.43
1.45) has a focal length f" in air. The lens is immersed in a
1.3. The ratio oflthe friqui6/f" i.
stoqls"d Sd:So fo o"qlgo.ldo 5on$o6. er SbSo
951 165ocf 5.::o.5o6d C6J9 f|'o*_/fo
(4)
0.23
0.39
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94. Through a narrow slit of width 2 mm, diftaction pattern is formed on a scfeen kept at a
distance 2 m from the slit. The wavelength of the light used is 6330 A and falls normal to
the slit and screen. Then, the distance between the two minima on either side ofthe central
maximum is
2 mm E6cr:3 SORS a,5 55)C 5OS o'5o' SSdS {r5";"So 5OU ScoB 2 m
' d.:.don $S1fo65 5cd 5U36oa. ciird:"noSs s'oe 6dot{p$5o 6330A Sroc$)
er [email protected] 6{ef 5Og 5ca,5tr15 Scd'o6;6co6' €o16oI;6:53i;c$coB 3o6c
EOer- aod 6:ge5o-5 53So 5c{5 t5.:'do
(1) l2.7 mm
@ 2532 mm
95. Charges 'Q' are placed at the ends of a diagonal of a square and charges 'q' are placed at
the other two comers. The condition for the net electric force on'Q'to be zero is
(1) Q=-2Jrq, q being -ve (2) a=-;, q being -ve
(3) q=zJ7q, q being -ve (4) Q = 2 q, q being -ve
6153. a,S 5{So $$do 5{ sd{s'D 'Q' $coc$$ toEO.$ 3o6:
esd{So 'q'o ,6orIaBSC. 'Q' } SSd Sd5:55 aoo {rSsS.:su'CB
(ll Q=*zJlq, q a::ea"e!3So @ O=-1' q a:cea'd3so
(3) q=2J2q, q ar::ea-.533o (4) Q = 2q, q zra:er"c!3So
(2)
(4)
1.27 mm
25.3 mm
a.5.Xdrd166.r:
S:l.o5oo 56oCa:o { S
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A96. In the arrangement of capacitors shown in the figure, if each
effective capacitance between the poinrs A and B is
& "ob$::d r5;."o$ SJ'oo63 5o.por$, 1bO Blhbd.:0o6:{)o: A. B 5:{g 6Oe, B}hel$l; De.:oS
capacitor is 9 PF, then the
DscS 9 PF epo::$ Jd q,
(1) 10 PF (2) rs PF @ 2oPF (4) 5 PF
97. A battery of the emf 18 v and internal resistance of 3 c) and another battery of emf 10 vand intemal resistance of 1 Cl are connected as shown in figure. Then the voltmeter reading is
i: i.l $.1eS r5,-'o5tlcn e,S d:cCro Cdcg+rod a:oo 18 V $c0 c$,:: eo60)646o 3 e,EodS {>cC.:o DSog..;-o5 aqo 10V $cEcUo ero"J0;d{o I O 65) 6r Eo6o6$iroq.$irdr5a:65$. ei>J6c ec $e)c 5,:c.>dc ,5;,?:oJc.6&o6
(r) 10 v @ rzv (3) 16 v (4) 8vRough Work
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98. A wire of Aluminium and a wire of Germanium are cooled to a temperature of 77.K.
l hen
(l ) resistance of each of them decreases
(2) resistance of each of them increases
@ resistance of Aluminium wire increases and that of Germanium wire decreases
(4) resistance of Aluminium wire decreases and that of Germanium wire increases
eou:.glo5c$oo &X Scoc6> Ed3Cc$:o &i{ 77.K 6#tt6 $d$ A.iO56ea dciloaASl.
erbydc
(l) L;)Oo.C Sdd$:: dt{:5c
(2) 1r:eo"C CSdSo $;6Eo6c5c
(3) ero:-gDcocUco &r{ C64d5.)) $;6Eo6o$c Sco c$J:
. ei d:,5:
(4r e.oo:.gtuCcUoo &X CdaSr er&5o SDoctu Ed3Sc6.:o &,{ pS6SD $;atso6o5o
99. A voltmeter of 250 mV range having a resistance of l0 Q is converted into an ammeter .of
250 mA range. The value of necessary shunt is (nearly)
Cdd$x 10 O, o.g"q 250 mV r{o a,5 {.5 S.:c:d;, o.g,o 250 mA r{s er5;5;o6n-
$.d;$-CB s-$o'oS ilocl fK:o$;'dcm)
(1) 2o 0.1 C2 (3) lo (4) 10 o
Ed3cc$co &.t Pddsn
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A100. A circular loop and a square loop are formed from tv/o wires of same length and oross
section. Same current is passed through them. Then rhe ratio of their dipole momcnts js
5$;-5 &d{, 5:{5J;6$> r{e; Eo6: &Xog., a,d $;o"rd,"p e,r:-E$.: S:0o$::
a,5 r5dd'"p er.S5.> dc$J.dod"oo"dc.;r.e3ef a,C Dc5cg5 (rS.o-obda.d.:. o"ej
Edr6e' pE-$cs-e D&3Q
(1) 4 (2)
@z (4)
l0l' At a certain place a magnet makes 30 oscillations ;ier minute. At another place where the
rnagnetic field is doubled, its time period wil be
?7t
IIt
a,5 D0XrEoS tsd{$",d a,5 erc$c}}odo CC.&S.::SS: 30 56er$ $::q: dOoXcSyo.
dd 1X:dX$o $d escUci'tro"t lg! Doc$ ESo6: dts.oyac o-C e=$d;:- s.oo
(1) 1[ sec
(3) 4 sec
@ 2sec
I(4) ; sec
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102. Match the fo[owing :
A(a) Rocket propulsion
(b) Aeroplane
(c) Optical fibers
(d) Fusion test reactor
g3o6;rCC ao5{r6.jo6:_A
(a) o"Bei ,$aSS.,(b) CS;.SS,r:
(c) d;a. e5oclc$or
(d) 5d05 x)6s 00$.56
The correct match is :
x>Ogr5 S& : :
(a) (b) (c) (d)
(g) (0' (e) (h) "
(e) (e) (D (i) .
(i) (e) (f) (e)
(g) (e) (0 (h)
B
(e) Bernoulli's princlple in fluid dynamics(f) Total internal reflection of light(g) , Newon;s laws of motion(h) Magnetic confinement of plasma
(i) Photoe.lectriceffect
(e) g:a.6'd& algoef ad-JO SJ.L6o(f) s.o8 Soeng.o6d E>o.SdSE;:(g) 5.r5oS dS;$ Co5cScSooo
(h) **a eeo5c#;o&c$c a:odSS.::(i) s'o8 C6c56 gO.5E.:r
(1)
. (2)
@(4)
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I03. Force F is given.by the equation f ==. L. Then dimensions of X areLmear densrty
aoo F gSoA 55c5deoo o!So! a6ga:656
F= xd$o: J.o1d.5
(1) M2Lor2
(3) L2r2
, eri>ydc X B.rS; Dc6oo:
@ Mororr
(4) MoL2r2
l04.The displacement ofa particle moving in a straight line is given by the expression
x = Atl + Bt2 + Ct + D in meters, where t is in seconds and A, B, C and D are constants.
The ratio between the initial acceleration and initial velocity is
d$cSc ied$.uet' g5o5;.e3Q$y a,,5 $m5.1 ar56 fS;Co{5o 13o6 bsc$deo$r>
o.go'a$go&S6 x=At3+Bt2+Ct+.D Scer{ef, t -oS{ct' a,:'36.r, A,B,C
So0oJo D or "ooos.o:. A0 .!3dca.C3 $OoJur 5.0 dmCB fio C:r;Q
2B(2) cC(4) 28
2C(1) B
(9 ,c
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105. A, B, C are points in a vertical line such that AB = BC. If a body falls freely from rest at
A, and t, and t, are times taken to travel distances AB and BC, then ratio (trlt,) is
A,B,C es3 Oodc$o Co:{) dq:d 6o6 AB:BC epd,:$i.::rr 6r'}0$. A 55
Co"So "o&d$oS) SeO *5,5;n" q3o63 {>&d, AB 5Doctu BC c5:-o-sr i-bc6re3oJa"S3
5dc"on tl, t2 s.e)5,})eD i>e35, er"oydc Cir33 (trlt,)
J|*r @ "li-t"ta
106. Sum of magnitude of two forces is 25 N. The resultant of these forces is normal to the
smaller for'ce and has a magnitude of l0 N. Then the two forces are
3o6c a:o-o {r 6 Srea $,::o B.:rd S.r: 25 5.:'g. e, are.llo 6Oe, ao$} ,)5; ae.:-CB
e> o e.: $0.:n So6 l0 S;"gtr5 b0$,:.ea5,r: 5OB 65;6. epoo:d er 3od: a: e;-o;
(1) 14.5 N, 10.s N (2) 16 N, 9 N
13N,t2N
1
.'12 +l(4)
(1)
(3)
(4) 20N,5N
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107. A body of mass 'm' thrown up vertically with velocity vl reaches a maximum height h, in
t, seconds. Another body of mass 2 m is proiected with a velocity v2 at an angle 0. fhe
second body reaches a maximum height h" in tirne t, seconds. lf t, = 2t, r'atio | ! I isIh: i
'm' 15$5o.3 r'fo a,5 5i;c$;5: v, di{$o$ Cb0o:$n" -oB CSdr* er6 a{BXr
JeSc h,5c t, =o{5,:o# ddc.lcoa. 2 m 15$go'35e.: 5c6-5 $X>3{5; 0 Ssga$r8
v, 3i{Sr:6u $:$Q5,:: dcU.:e.:654. 6e 3o65 $frDO t, io55 s'ero# ,10".r i"t
h, dc5:d:oE. tt - 2t2 eso.::E- SirpQ lrj)
(1) l:2 @+:t (3) 1:1 (4) 3:2
108. Hammer of mass M strikes a nail of mass 'm' with a velocity 20 m/s into a fixed wall. The
nail penetrates into the wall to a depth ol 1 cm. The average resistance of the rvall to the
penetration of the nail is
M 1d55o"A r{e.: a.5 ir:& 'rn' g6Sgo'A do e,5 dcS.:S; 20 5c/-": d,'{S*d e"g
"odEcS 645et'B S'4r6o aofo6. eJ d.:dc 645efg 1-oo.5.:. ddrg ff-'scJy0eLc)d oo56. d;Sr ,li,5c;S0 J5$cJC n*d b,{clJ Cd4s::
,,, [ *' ],,0,\,/ [M+mJM*-**io,M'
M2 -..)(4) __ylu'M+m
109.A body of mass 10 kg is acted upon by a force given by equation F: (312 - J0) Nervtorrs.
The initial velocity of the body is 10 m/s. The velocity of the body after 5 secs. is
l0 kg 1d$go"3 rle a,S $q$}: "dnd1> e:s$r: F = (312 - 30) $;-5o5u: er*
$S.:Jdao$od aSga:656. $6r$ 6'0 drt$: 10 Sc/-o. 5 =o55:o ddr+d.z r'-- <. {,z<--d NX oiJ or I I or'r.r
@ omls (3) 7.5 mis(1) 4.5 m/s (4) 5 m/s
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110. A ball (initially at rest) is released from the top of a tower. The ratio of work done by theforce of gravity in the first, second and third seconds is
a'5 arogp (Do"$ch3 $co6) a,s Spdolo xbo6 13063 ar-dc600.dc. rlcd;o.ss{eaarss::50 Biodc3 -o506c, Eod$ s.r 0 05.10 5.,.55 =oS0ddf acod 65co s& r0(1) 1:3:5 (2) t:4:16 @ t:e:2s (4) 1 :2:3
ltl' A body of mass 2.4 kg is subjected to a force which varies with distance as shown in figure.The body starts from rest at x = 0. Its velocity at x = 9 m is
{ri.r$od ,i;.'o$oc 2.4kg 165go.B r(o a,S SK:ofu$c, dr-doS S.:.d aosccSdcdsrtsgo dojca:656. o Se$ x = 0 ${ C{Jo "oB Sco& arc5cocdoso.x=9m Sd o,p drt$$
Forcea: g $co
N
20
(1) s.,6misec
(3) 10 m/sec
---+ x m Ineters(x Srogd)
@ 2oJJm/sec
(4) 40 m/sec
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112. A canier wave ofpeak voltage 12 volts is used to transmit a signal. If the modutation index
is 75%, the peak voltage of the modulating signal is
12 $oca Aq:d $$e rls 4,6-5 eJdorrCl e,d
6-oE:-flo.'r.dc. $;"&gdXrS f)J" .') 75% ep o.::d,
"oote.Sy 1X:&do dc6curD3
5:.6cgde3oF Sotdo 4153.
Aq:d $de(1) 18 v,t5) to vIJ
. (2) 22Y
(4) 28 v
ll3. lt n and n, are electron and hole concentrations in an extrinsic semiconductor and n, iseh_lelectron concentration in an intrinsic semiconductor, then,
erd;:.";- 5o C Jers.75co, dogCS*o )o1d6e.r 5c0cU::
Jor 75ce; i.o 15 d eo>d,
@ (r"+nn)=!i
(3) (n" - nn) : nf, 14) nn. =n?eh I
114. In a half wave rectifier the AC input source of frequency 50 Hz is used. The fundamentalfrequency of th'e output is
50Hz #$aQy5g$:: rlo 5s'o.Jd 1i>o'Xr. a55 a5'"2;c.15: a,S epd 6dorJ 5S6S6U*d
r"&S, 6ir.J5$o,rS $J'0{ }5:ip$gScr
n" $c0 c$+ n; o; eoX:5?:-5 a
n.5ca:-5a ec d d-Xt'5o eJaI d' e
(" )tri li l=ni
\ "h /
(1)
,o50 Hz
2OO Hz
(2) l s0 Hz
(4) 75 Hz
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115. A radioactive nucleus can decay by two different processes. The half lires of the first and
second decay processes are 5 x 103 and 105 years respectively. Then, the effective hatf-life
of the nucleus is
(1) 105 x 105 yrs
(3) l0a yrs
e.5 d6OO*o"O)g do16go Sodc Io-o:n' 5 cU:o s$t{sd:. Eo603 ScEcUo Bod'e{c$.ro Dgro d>56 erd d0o"e Ce>:Sc! Sc$i:n 5 x 103 SoOcSD 105 bo$dJd$)e.doqd5o A::56 i-{5 esd dDds-eo(l) 105 x 10r 5o.oc
(3) 104 Xro.oc
@ +lez yrs
(4) 47.6 yrs
(2) 4762 "ao.oc
(4) 47.6 "oo.o:
116. The following statements are giveh about Hydrogen atom
(A) The wavelengths of the spectral lines of Lyman series are greater than the wavelength
of the second spectral line of Balmer series.
(B) The orbits correspond to circular standing waves in which the circumference of the
orbit equals a whole number of wavelengths.
(1) A is false, B is true
@ e is false, B is false
(2) A is true, B is false
(4) A is true, B is true
3:"gdaS 5d$.:-eoc$ rfo0or) $od a,)35 o"gegw r{ScCo.'JoB
(A) E$cS $e6et' s.o8 dq:o ddor{ ESS* 1ar.5o6 lde6d0 Eod$ s-o0 dpe.:
e5dodpg"5e.: 5od eoQ{o
1S1 t 5!gct' aro.::d Sg5 5ye5 "oOQ ddor( Eg5o{: igro"oS d:c3aoo- 6oello66
e (g5e: 5;e.s-d f5d 6dome.:5,: cp Scd.:-'o o n 6ocJ-oo
(1) A 6i:y, B Ca;o (2) A Cao, B ei-oy
(3) a e!-oy, B e5;:y (4) A Cao, B Dao
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117. If an electron has an energy such that its De Broglie wavelength is 5500 A, then the energy
value of that electron is (h = 6.6 ' 10-3a Js, m" = 9.1 t 10-31 kg)
61o.E0 ddodpdgo 5500 A *odc.:un- dB a,5 Jog'755: 65;cro::d' er
Jos.15 a+Sa X9 ioc5 (h = 6.6 x 10-3a Js, m,:9.1 x 10-31 kg) '
(1) 8 x 10-20J (r 8xto-toJ (3) 8J 8 x 10-25 J
118. Suppose that the electric flux inside a parallel plate capacitor changes at a rate of
7 , 101a units/sec, then the niagnetic induction fietd density at any point inside the capacitor
is,
[Area of the plate of the capacitor : 1 m2
permittivity of free space = 8.8 x 10-12 Nm2c-2
permeability of free space = 4n * l0.1 Tesla m/Ampl
e,5 5Srodd X>o5e B$"ob6d C6':55 erQ o"o'$r: 7 ' l0la cSr:-C irc/-o
5:-d:3 Eo6c5:od, 3}"otr6ef food erc6:i-;od $ 16 #o155 5
${E- [S]"ob6 {>od tsa-o5$r, = 1 5"2
oqs-{Xp -oo3dCes : 3.3 x 19-12 y*2.-2
(4)
derd0odo$
6 s"r{Q; =oo3cScOOeS = 4x " l0-1 Tesla m/Ampl
0) T .79 ^ 1o-3 T (2) 0.779 x
(E 8.8s ,. 10- 4 T (4) 88.5 "
10-5 T .
l0-12 T
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I
119. In a circuit L, C and R are connected in series with an alternating voltage source of
frequency f. When current in-the circuit leads the voltage by 45", the value of C
a,5 Soc$cos$; L, C $cOc$w R oc f$e8ef (>oq-Si:d'J4656. $ecScoeS
65yby6c, BJ"oES; C Do:$
1(l) r"f(rrfl . R) 2nf (2dR +L)
1
(3)2zrf (R + L)
(4)
l20.Asmall square loop of wire of side 'l'is placed inside a large square loop of side L(L> l).
If the loops are coplanar and theii 0entres coincide, the mutual induction of the system is
directly proportional to
'l'qJca$o SOE$ a,5 ,)$1 .55dXp 5X eu"5, L(L> l) qYce6o SO8S a"S -o{.5dd5o or"'o et 60,5o654. 6a eJ'Se:> e,€ "oS:.JQod 6o&, a'E told$::o:5g{So.,)SSo 6od, eo-oyt5: 6l SgSb 6156 er$555 f"rd5., dCB crSodSr'XD}6$)'
(1)l2(2\ -L
t(4) .,V
ilS:"q$g6,r: r{er 5s'oeid $de a5s"Pg
ad:g6 gi:a."o.o 6,Se go-d 45" S 5.r:odc
,"r (R.i)
IL
IT:@
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@r
CHEMISTRY
l2l. when one mole of d and one mole of B were heated in a one litre flask at T(K), 0 5 moles
of C was formed in the equilibrium
A+BE-C+D
The equilibrium constant Kc is
T(K) ${, a,5 E:'e5 A S:oc$;: a,d aJ-d BSc a'5 0t':6 ff-or6c$ dB d"os;pdc'
A + B . 'C + D, (>S;e"te 56 0.5 ars5 C 5d36oa' (>S;o""6e noo"oS$'r:' K.
(1) 0.2s (2) 0.s
(4) 2
122. If the sotubility of car(POo)2 in water is 'X' mol L-l, its solubility product in mol5 L-5 is
5u3et' Careoo), 1o-5 eB cS:6 'X' mol L-l epo:d o'C 1o'$ eB c6co! oero mol5 L-5
oet'
(1) 6 X5
(3) 64 Xs
(2) 36 Xs
@D 108 x5
,\
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123. Which one of the following is not a method to remove permanent hardness of water ?
(1) Clark's method
(3) lon-exchang.,r.,hod
5u: a.X5.l ro$5d5c 8oflo,5cd:dc r'6c X){& 56 ?
(9 Calgon method
(4) Synthetic resins method
(2) rs5 "od8ne
(a) 5oj'*eY 3d5o X>{0
(t) 9.66 :>{o
(3) epcS;.S CS$:c$c'odO
124. White metal is an alloy of
Ect a)66 dc3 cc$ d"o"or
@ Nu, t'lg
(3) Li, Mg
(2) Na, Pb
(4) Li, Pb
125. Which one of the following elements does not form triiodide on reacting with iodine ?
13o6 S::.os-oef sdl"&SS t5d5 S-oa -6 1co6:'45$; 5U;U*Ca 5al
(1) B (2) Tl (4) GaOAI
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126. The buffer system which helps to maintain the pH of blood between
d5od pH 5: 7.26 Sco0 7.42 o S.:{g aodbbc d'o a"q:6
9/ H2CO3 / HCO' (2) NH4OH I NH4CI
(3) CH3COOH / CH3ioO- (4) CH3COONH4
7.26 to 7.42
ssst
IS
127. Municipal
".pdled
(d) l-s
sewage BOD
Sodct'(:5e3
values (ppm) are
BOD Doc$ oc
(2) 100-4000
(ppm)
(3) 50-90 (4) 20-40
128. The two bonds N:O and N-O in
(l) lnductive effect
(3) Electromeric effect
H.1CNO2 d N=O ScocsJ: N-O' 6 o gr.o$
(l) r{.> d'") S lirq-$o
(3) Jo$7EcoS 1X:4-$o
H3CNO2 are of same bond length due to
(2) Hyperconjugation
@ Resonance effect
a:oe'e) Eo6..:. a,d arod -F{Soof
-
$oS
(2) er&i: o c$r:r(3o
(4) 3#ESJ 1i:q:-$o
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129. Assertion (A) : Reaction of l -butene with HBr gives l -bromobutane as major product.
Reason (R) : Addition of hydrogen halides to alkenes proceeds according to
Markovnikov's rule.
The correct answer is
(1) (A) and (R) ate correct (R) is the correct explanation of (A)
(2) (A) and (R) are correct but (R) is not the correct explanation of (A)
fi) tAi is conect but (R) is not correct\\,/
C4) (A) is not correct but (R) is correct
s3;d5o (A) : t-au"5t35s: HBr d .5dg eo"o$'oydb bdJd 16q'5 6e5351o
1-1a5'a:'ar:"5d 5.
s.dcao (R) : -o'166e5 56p6od er065e>
Co5c$ro 1X:s"do adcdccloo6.
6::53. 'oodo5 .5d5 5':'6"6Ss"F
a6 508>5 $5r.9'$o
(1) (A) $ooc$o (R) et 506:5C' (A) 5o (R) X:opc5 C6dea
(2) (A) ScooJo (R) el.: X:o$cSC, s'C (A) Sr (R) ('oEbS &$deo s'6c
(3) (A) ",JoSb56 s"C (R) $06c56 s'dc
(4) (A) X)od)56 s-dc (R) 606J56
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130. The product (Z) of rhe
goa ,5dgd 5d3dfollowing reaction is
6e53$1o (Z)
(1)
(3)
Z"-.-cl(/
(4)Z-\,-cl(rr'.",
-4\-l' t1 CH Cl
\-/ Anhydrous AICI, '(Cde) AtCt,)
CH,
CI
131. An example of covalent solid is
55cBu.a5cS: goS{ro.d$.::S Sc 6o.iy.dm(1) Mgo
@ sic(2) Me
(4) CaF,
132. What is the weight (in g) of NarCO,
solution ?
250 mL s 0.2 M NarCO, ta:.c,"6<god> Joey z
(1) 0.53
(3) 1.06
(molar mass = 106) present in 250 mL of its 0.2 M
1d$5oB = 106) qo.Scaod ScSl NarCO., e-do
@ s.3
(4) 10.6
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133. An aqueous dilute solution containing non-volatile solute boils at 100.052 oC. What is the
molality of solution ? (Ku : 0.52 kg.mol-l.K; boiting temperature of water : 100"C)
a,d er4-(r;&o i-o-De5$,:: SOn 6Sy ao DOS 1o-Sea$r 100.052'C ${ $:dcricdoo6.
1o"$eaip Ey.c.r.Oc,3 JoeS: rKo:0.52 kg.mol-l.f; 5d $Jd.:r{o 6ff$d :100"C)
(1) 0.1 m ,6 o.or - (4) 1.0 m
134. A lead storage battery is discharged. During the charging of this battery the reaction that
occurs at anode is
(l) PbSO (s) - 2e- -+ Pb(s) + Soi-(aq)
(3) 0,001 m
a,5 E5 C$;> u.gcr6
ec,5i5 SA adcl{c,J6g
(1) PbSO4(6r) * 2e- -->
(2) Pbso4(s) + 2E2o(l) -+ Pbor(s) + So;-(aq) + 4H+(aq) + 2e-
O Pbso4(s) -+ Pb2+(aq) + sof-(ae)
(4) Pbso4(s) + zH,o(t) + 2e' -+ Pbor(s) + So;laq) + 2H+(aq)
(2) PbSO4(6r) + 2H2O(L6) -+ Pbor(6c) + Soo2-(ao) + 4H+(ee) + 2e-
1:) Pbsor(60) -+ Pbz*(ao) + Soilae)
(4) PbSO4(6r) + 2H2O([5) * 2e- -+ PbOr(6:) + SO421ae) + 2H*(ao)
&5'r:"$ epoodro;:o6. 6r o"gi.:6Sc r7QoF i{oC;{:ydc
Pb($,:) + sof-(ao)
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135, For the reacrion
5 Br(aq) + Broj(a9) + 6Ht(aq) --+ 3 Brr(aq) + 3HrO(f
it *4lEa1=0.05 molL-r min-r,
AIBI0: i ,n mol I- l min r isAT
13oA r'5dg5:
5 Br-(eo) ' BrOr(eo) + 6H'(es) -+ 3 Brr(aer) + 3HrO(1d)
- o'ii-'
= o.o, mol L-r min--r epoo,:d
AlBrO, I-- ^-
molL-'min-r od( r ) 0.00s (2) 0.05 (3) 0.s @ o.ol
136. Which one of rhe loltowing is used in the hardening of learher ?
(1) Light sensitive silver bromide in gelatin
@ Soaium lauryl sulphate
(3) Alum
(4) Tannin
Sec5r r{c3;)d'5o"C3 $o6 o.e3d 5A 6"oB:-h}6,:?(1) eer.65et' Johor)$, s.o&d r5dg adX>r(Ofl 'oo56 $a:E(2) i{6o5.:o o-Oe5 i>d;ul(3) 6e3S
(4) i,I.p5
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137. German silver
[s orJ J-eJ o'
(l) Cu, Zn
contains which of the
5 et'$ee)s: adrse
(2) Fe, Zn,
follor,r,ing metals ?
'oog5 50n 6 oCr:o 6 ?
@ Zn, Fe, Ni (4) Cu, Zn. Ni
138, The key step in the manufacturing of HrSO, by contact process is
(1) Absorption of SO, in HrSOo to give oleum
(2) Dilution of oleum with water
13) Burning olsulphur in air to generate SO, -@ Catalytic oxidation of SO, with O, to give ,O,
/
s-oer.S f)d@d i>o;.pg05 e5; dc$c-6d 1irq.5 6{ --j(1) SOr C FI2SO4 efg #Aeao n So.,)5Q6; t0c$c5c bd;acc.>
(2) ?.OcScSr5; 5OS 6eso d c$ocr
(3) X:op6$.: n'O 5$c$od $co6oC SOrS,> e!cSc-d,:dc5oi.:
(4) SO:. o, S ad7,3dd 'o$:goct' So, n- es8J5dcao Eodcc.:
139. Ammonia on
NH, and Cl,
ee Ec-3 C cS.:-
with chlorine forms
foi this reaction ?
r5dg,YoA NCl, esSc D3{pCrS
an exolosive NC[^. What is the mole ratio of
-oo'd$r:SJ: r5:. dr J de$QiJA
reaction
requiied
So 56"
r5O35 NH3, Cl2 o B:-el Cir;8 Jo"5:(l) 8 : 3 (2) l:l @ t::- (4) l0 : I
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A140. which one of the following lanthanide ions does not exhibit paremagnetism ?
13oA u.o{p6 ocSrsod 5a f:o.c$c}6ocy do"3Cy g66Oporldrr
@ tu'* (2) ce3+ (3) Eu3+ (4) yb3*
l4l. The increasing order of field strength of ligands is
' Emo6e $ 1d oer.o =oOd p5$co
(l) NH3 . HrO . Cl- < CO < CN'
@ ct-. Hro . NH3 < cN- < co
(3) Cr < co < cN- < H2O < NH3), (4) CN- < CO < NH3 < Cl- < H2O
142, Identiff condensation homopolymer from the following
13oA o"c3ef 5co6 Say"&c$: bogc$S $O$c6Sc
(r)-cH,+"",S--.,@ +ocH2{r-rr-o-co@-co+"(3) +Co{cHr)r-NH_1
(4) fNH-(CH2)6-NH{o_-(cH2);cG1,
1
dcOo$S*
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A143. Identify the nucleoside from the following
13oa a.c3cf 5.:-g$C:"p55.: dcOo'q;$o:
(1)
(3)
_?O - f-O-HrF,rO... Base (s. 60)o) 6 KrilH}{H
HO OH
(4)
144. Which one of the following is the. correct structure of sulphapyridine ?
13oa o'e3ef 5o -ou"p'o065 6156 X)oE)S Do"3taol
(1)
$o,NH,
AY
NH,
(3) O-"\-O-* .. d/h-/NHNH?(4) ll I
\/
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145. Identify Z in the
i-3oa r56ge5f Z
following reaction
$c lfc 0 o Xpi,::
AZ-:{ffi, l.NaNo,, Hct,273-278K1..Uffi\,,2
ffi\ 4-iaNo'\\_./ \_,
(z) a-ia"'\-)
(3) aY'\-"
(4) 4-(*'\,\r
146. Which intermediate is formed in the Reimer-Tiemann reaction ?
@ e,taenyae
(3) Carbanion ..--<
(2) Carbocation
(4) Substituted benzal chloride
p$c5-e3$c5 rXdgef 5 $oCEfo bdJdodroa?
(l) uO-o"6 (2) s.d;s.oo5c.S
(3) s.d;$c$.r.S 14) L6og"d€J aoa'5 f pE
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A147. Which one of the following is an acetal ?
gBoB a-$df 5a ;'ocr"dr
./oR'(l) R{H\oR'
R'.a-oHR,' 'OR'
,OH./(2) R-{H\UR'
(3)R\c--OR'
R/ \oR'
t,t8.H3ccH2corr-?--x H,o >y Socl, ,z
Identifu X, Y and Z.
X,Y $r0oJo Zo5r l{cO o$5o.
.Y
HOH2CCHOHCO2H
H3CCH2Co2H ]
H3CCO2H
H3CCO2H
(l)
(2)
(r)
x
HrC = CHCOTH
(H3CCH2CO)2O
(H3CCO)20
(H3CCH2CO)2O
z
HOH2CCHOHCOCI
H3CCH2COCI
clcH2cocl
H3ccocl
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What is Y in
3: '.5dgd
the'reaction ?
Y 56?
(2) H3CNH2
150. The
3p
(1)
(3) HlCCO
number of radial
"-A \ nr"("s{ X.'--,* --0
(4) HCONH2
nodes present in
dac$od $5e:(2) 1
3p orbital is
gopg
@2 .@
151. The radiation with maximum frequency is
( l) X-rays
(3) UV rays
60h #$sbtS-eo .{e DBdcaSo 5azove)
.,y'I} X-3deo..:o,\}(3) UV.3dea-o --..4
(2) Radio waves
(4) IR rays
(2) dAEJ" e56on eo
(4) IR 3 d ea.oc
152. The equation used to represent the
(l) x(g) + e- -+ X-(s)
(3) x(e) + X*(g) + e- 1
electron gain enthalpy .is
,@$ X(s) + e- -+ X'(g)\)(4) X(s) -+ X+(g) + e-
(2) x(6c) + e- + X-(o')
(a) X(6c) +, X*(o"1 + g-
Je.:s"75 gr"-o-g JoryO;C ""r:",1o.5c SScSdtno
(1) x(a.)
(3) x(o")
+ e- + X-(a-)
-+ x+1a.) t e.
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A153. An element in +2 oxidation state has 24 electrons. The atomic number of the element. and
the number of unpaired electrons present in it respectively are
+2 es335dca "oAd ASy a,5 sw.o5od 24 Jos-7Sw 6 o-)or. s Su.c.:5o
d:r56 "odS;.eo "ooq:5, o"Cd aSy a,oCr0 Jos-7Sc.: boorg Sd:.orr
@ zt,+ (2) 26, 4
(4) 26" s(3) 24, 2
154, Number of bonding electron pairs and number of lone pairs of electrons in clFr. SF,, BrF.
respecl.ively are
ClFl, SF4, BrF, oef ao{ Jc.:s.75
$d,:5n'
(4) :,2; 4,2;
(3) 3, t; 4,2;
a:oOer 5oq:9, a,obO JoE )S aobo boqr.q
(2) 3,
(4) 3-,
<)
5, I
1; 4,
2; 4,
l; 5,2
l; 5, I
155. What is the bond order of N,
N, a:o{gS$co Joe!?
(l) 3 (3) 2 (4) I
?
4
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A156. Match the following :
List-l
(A) Viscosity
(B) Ideal gas behaviour
(C) Liquefaction of gases
(D) Charles' law
13 oB a.c3$ aei"od;ric$o :-
ar.A6' I
(A) "o1r{el
(B) erddp a'c$o 16$dS
(C). a.c$r:$o 65sOea
(D) e-ES Cc$:$co
The correct answer is :
. aB X>06c5 (>$;'g'5 o :
(A) (B) (c)
(1) (Iv) (lD (I)
(2) (v) (r[) (I)
r(T) rvr (lll) (ID\7(4) (rv) (rr) (u)
List-II
(l) Criticaltemperature
(II) Isobar
(III) Compressibility factor
(IV) kg sr
(V) kg mr s-r
a*Ds" II(D Soar( 6#$c!(II) 5Sr56Sdq)
(III) X)o6">dS rtea go
(IV) kg sr
(V) kg m-' s-'
(D)
(D
(ID
(r)
0)
<--{
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157. The most proballe speed of O,
T(K) $* O, ereoc$o i{E-"r
(3)
molecules at
5oap.5go.
(K)
6o
(2)
T IS
,ETX 16,
ml_1+n
Ef! 16
(1)
ERi\tz
158. According to
1.012 is
' i-dd epoB c>e
"p 0e5 o
(1) 31.12
(3) 3l
significant figure convention the result obtained by adding 12.11, 18.0 and
6opi>o.cSco $:s.do 12.11, 18.0 $cOc$o 1.012 o$.: SO'dd $,,)3s
(2)
@),x-31 .1
31 .122
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159, An organic compound having C, H and O has 13.13% H, 52.14% C. Its molar mass is
46.068 g. What are its empirical and molecular formulae ?
C, H $ocsc) o .{o a.( 5d;5 bdca#sod 13.13% H,5Z.l4% C sc.:d:. o'c
6:.er6 $5go'3 46.068 g. o"D eo5cqr"Dd ftdc3o' Xrr0o5o erearfdo3erer': SDr
(1) c2H6o' c4Hl2o2
c2H6o' c2H6o....
(2) CH3O' C2H6O2
(4) C2H6O2' C3HeO4
160. Which one of the following is not a state
(1) Internal energy (2) Work
3o6 a.Eef 5a '*A 1i>d.:c$co r5:rI
(1) esoel0S {B (2) ;)S
(4) Free energy
@ Jolefso (a) rog*; {$
function ?
(3) Entropy
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ASPACE FORROUGHWORK
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