T
RBS
This booklet contains 24 printed pages
No.:
L7A7
PAPER - 1 : MATHEMATICS, PHYSICS & CHEMISTRY Do not open this Test Booklet until you are asked to do so. Read carefully the Instructions on the Back Cover of this Test Booklet.
Inrportatt lnstructions
4i464
Test Booklet Code
:
Immediately fill in the particulars on this page of the Test Booklet twith only Black Ball Point Pen providld in the eximination hall. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test 2 Booklet, take out the Answer Sheet and fill h the particulars carefully. The test is of 3 hours duration. 3 The Test Booklet con$ists of 90 questions. The maximum marks are 360. 4 There are tlree parts in the question paper A, B, C consisting of Mathematics, Physics and 5 Chemistry having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct response. 6 Candidotes uill be autarded marks as stated abooe in instruction No. 5 for correct rcsponse of each question. 1/t (one-fourth) marks ol the total nnrks allotted to the question (i.e. 1 mark) will be deducted for indicating itcorrect response of each questiolt. No deductton from the total score will be made if no rcsponse is indicated t'or an item in the answer sheet. 7 There is only one correct response for each question. Filling uP more than one response in any question wiil be beated as *tong response and marks for wrong resPonse will be deducted accordingly as per instruction 5 above. For writing particulars/marking responses on siile-7 and siile-2 of the Answer Sheet use ozly 8 Btack Ball Poinf Pez provided in the examination hall. No candidate is allowed to carry any textual material, printed or writtery bits of papers, pager, 9 mobile phone, any electronic device, etc. except the Admit Card inside the examination room/ hall. 10 Rough work is to be done on the space provided for this purpose in the Test Booklet only. This spac"e is given at the bottom of each page and in four pages (Page 2o-23\ at the end of the booklet. 11 On completion of the tes! the candidate must hand over the Answer Sheet to the Invigilator on duty in ihe Room/Hall. Howeoer, the caniliilates ate all|ueil to take aToay this Test Booklet tuith them. -12 The CODE for this Booklet is D. Make sure that the CODE printed on Side-2 of the Answer Sheet and olso tally the serial number of the Tcst Booktct add Answer Sheet are the sane as that orr this booklet. In case of distrepancy, the candidate should immediately report the matter to the Invigilator for replacement of both the Test Booklet and the Answer Sheet. 13. Do not fold or make iiny shay mark on the Answer Sheet. 1
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Numter
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in figures
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iri words
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I
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t
+ o
D
PPAAAn
+1 Z+
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I
I
,L
Name of Examination Centre (in CaPital letters) Candidate's Signature
,qev(.N Tl^lo fotrR
1.
Invigilator's Signature
2 Invigi-lator's Signature
{ q-f2.-
I
PART
A _ MATHEMATICS
4.
For three events A, B and C,
a
P(Exactly one of A or B occurs) 1
If S is the set of distinct values of 'tl for which the following system of linear
= P(Exactly one of B or C occurs)
equations
:
x+Y+z=1
P(All the
x+ay+z:7 ax +bY +
z:0 :
:
1
i
events
three
simultaneously) =
has no solution, then S is
(1) (2) (3)
P(Exactly one of C or A occurs)
an(
occu
1
*
.
Then the probability that at least dne the events occurs, is :
an empty set an infinite set
c
7
a finite set containing two or more
(1)
32
elements
(4) 2
The following statement
(p-+q)--r[(-p-+q)+q] is
(1) (2) (3) (4) If
64 3 "t6
(+)r
-P+q
equivalent to
P+-q 5
a fallacy
cosz x) =
Let o be a complex number such thi
2at1--z where z : G5. f )aos Lt + 9, then the
11
1
value oI cos 4r is
1
3
(1)
7
:
equivalent to
-
"t6
(3)
a tautology
5(tan2 x
7
(2)
a singleton
2.
--t
-('l
0)
2
= 3k,
7
1
5
(2)
(3)
then k is equal to
1
;J
2 9
9
f)
P Ee
2f ,A
-,
lzl
z
(3) --l (4) 1
7
(1)
(-tY
:
t
SPACE FOR ROUGH WORK
\
f .,n , ''rt '
7*n
"
t*"to++y'
:oc
r.4r
g, / :
J
6
Let k be an integer such that the triangle with vertices (k, -3k), (5, k) and (-lc 2) has area 28 sq. units. Then the orthocentre
of this triangle is at the point (1)
2
(2)
(,
(3)
(,
I
parallel to the line,
:
PQ is
equal
2 3 4)
4
10.
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum atea
'!
1.2.s
10
(3)
+
3
L
11.
+
ff.A+1)cosr: /-\
/(0) =1, then y[;.,J o equal to: (1)
(2)
;
(3)
2
9:r3
If (2+sinr)
2
5
3
9x3
7-9xg
1
5
q
(4)
, then g(r)
3r
(4)
30
-t2
(3)
g(x)
zxJi - 9tg
59
(2\
is .,[
9x3
25
y.1 + J;)is:
D/Page
1,
(2)
-
of
9
(1)
:
The area (in sq. units) of the region l@, y) , t2O, r +y<3, x2<4y ar.d
(1)
= 3 ir Q, tL".,
l
6x"li
tan -1
(in sq. m) of the flower-bed, is
8
X
If,for r. (r, the derivative 1), equals
(1) (2) (3) (4)
=
3
'1,
7
i
:
(1) 3Js (2) 2Ja (3) J4z (4) 6G
1
(,,;)
(4)
If the image of the point P(1, -2,3) in the plane, 2t I 3y - 4z + 22:O measured
2 3 1
3
(4)
4
5
SPACE FOR ROUGH WORK
g
and
,;. t
T
12.
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point
15. t
of AB and P be a point on the ground such that AP=2AB. If ZBPC: B, then tan p is equal to
-
1i.", '-1 =Y+2 _2 1.
n 2
(3)
a
4
(2)
9
13., If A = equal to
2
-3
4
1
(3)
, then adj (3A2+12A) is
:
(4)
172 -84 51 [-.,
(1).
51 53 81 72
(2)
a 20
51 63
(3)
(4)
72
84
J83 5
Jsr 10
Jz+
= Jtan" r dr, (n > 1) . 14 + I5 = a tan5 .r + brs + C, where C constant of integrafio& then the or<
84
72
10
Let
75. d
I,.,
pair (a, b) is equal to
-63 51
,)
(-;
(1) a
For any three positive real numbers a, b and c,
(2)
9(25a2 +b2) + 25(c2
-
3ac) = 15b(3a + c).
1
5
,)
:
(1) (2)
b, c and a are rn G.p.
(3)1
a, b and c are
(4)
1,ir,
9
(4)
Then
z+7
7
(1)
I
1), having normal peipenc
-
*o.r-22 =-:v+'l
7
(2)
14.
1,
to both the
:
-7
the plane passing through the (1,
6
(1)
The rlistance of the point (7, 3,
(3)
1 1
b, c and a are in A.p.
in A.p. a, b and c are in G.p.
D/Page 4
(.
q)
)r 'hflo
L- t ,l
(4)
(-+
SPACE FOR ROUGH WORK
.v-j
\:\. i.t
i.6-F -zb -
a\ -tL i+, ., sl .€
i
:
17.
The eccentricity of an ellipse whose centre "l
is at the
oriSin 15 -. If one of its directrices
-
4, then the equation of the normal
is x
=
18.
cot
r-
cos .r
'-,t $ - 2r)3
equals
1
1
(1)
3
"l
(2) 1.6
-2Y:1
(2)
4x
(3)
4,t+2y=7
I
%
,
2y-x=2
1
(3)
x+2Y=4
(4)
lim
2
to it at (1)
20.'
A hyperbola passes through the point p and has loci at (-t 2, 0). Then Ki ,
8
7
(4)
n
o
^fZ) the tangent to this hyperbola at P also passes through the Point :
21. Let a =2i + j-2k
(1)
(sJ1,
(2)
(zJl, tJi)
(3)
(J5,
(4)
ta, -$)
zJi\
Let
A)
c
be a vector such that
l(; , ;) JJ-)
/
:
R
-r [-1, 1]
a"rn"a
' f(x\= "l+x' ",ir, (1) invertible. (2) injective but not surjective. (3) surjective but not injective'
as
(4)
D/Page
,4e'lt
1 neither iniective nor surjective. 5
'
?l
=,
c and a x b
equal to
1e., rhe function
8
(2)
2
(3)
s
(4)
1
8
SPACE FOR ROUGH WORK
q (r ^ \A{-n
:
25
(1)
) 1
rv
r
,p,
and' 6 = i + -+J
ilr)
j
c-a :3,
andtheangrebetween
be 30'. Then
a
J c
S
I
,)
The normal to
the
curve
y,(x-2)(x-3) =r+6 at the point where
25..
("c, -'ocr) * (,,c, - rocr) * ("c. - 'oc.) n (',cn - roco) *
the curve intersects the y_axis passes through the point : (1)
2
2
\z' (t
(3)
(1. t-t
("cro - locro) i" ' (r) 221 -27-t ()\ )21 .,lo \-.,
r\
z)
\z'-
(4)
'
1
(1.
(2)
23.
"1
1\
(3L
s)
1\
tf two different numbers are taken from the set {0, 1, 2,3, ......, 10}; then the probability that their sum as well as
220
26. A box contains 15 green and 10 yt balls. If 10 balls are randomly dr one-by-one, with replacement, thel variance of the number of green
absolute difference are both multiple of 4,
is:
drawn is
a 55
(1)
5
(2)
6
74
(3)
4
(4)
:
1.2 -=
Q). :55 (3)
,
-2e (4).220-210
lz's)
(1)\
The value of
45
(4)
7
6 25
55
24.
27.
Leta,b,ce R. that
If
a+b+c=3
/(r)
= aa2 + bx + c is
s
and
f(x+i=f@)+f(!)+ry,y 4y
e
Ru
10
then
| /(n)
n:1 (1)
485
(2)
468
(3)
469
(4)
484
D/Page
6
is equal ro
:
(1) 330 (2) 1.5s (3) 1e0 (4) 2ss SPACE FOR R
.,1
I
The radius of a circle, having minirnum area, which touches the curve !:4-x2 and the lines, Y = lrl is :
28.
(1)
z(J2 + t)
PART B
ALL TM GRAPHS / DIAGRAMS GIIIEN ARE SCMMATIC AND NOT DRAWIV TO SCALE.
31.
(2) z(J7-t) (3) q(J2't)
(4)
E(Jl + t)
A radioactive nucleus A with a half life T, decays into a nucleus B. At t=0, there is no nucleus B. At sometime t, the ratio of the number of'B to that oI A is 0.3. Then, t is given by :
(1) 29. [f, for a positive
T 2
(2)
r(r + 1) + (r + 1) (x +2) + .... + (r + n:1) (r+n;:191
I
': ctr)
integer n, the quadratic
equation,
I
has two consecutive integral solutions, then n is equal to :
(1) t2 (2) e (3) 10 (4) 11
PHYSICS
-
32
(3)
t:T
(4)
t:T
Ioe 2
log 1.3
log 1.3 1og2
log
(1.3)
The following observations were taken for determining surface tension T of water by
capillary method
:
diameter of caPillary, D:1.25x10-2 m rise of water,
h:1.45x10-2
m.
Using g:9.99 m/s2 and the simplified
\ 3tr
I
30.
The integral
J #; 4
(1) (2)
2
(3)
4
(4)
D/Page 7
TD
F-
"l
is equal
to:
x1o3 N/m, retation T= f!-C 2
the
possible error in surface tension is closest
to: (1)
1.0%
(2\
0.75"/.
(3)
1,.5%
(4)
SPACE FOR ROUGH WORK
33.r
An electron beam is accelerated by a potential difference V to hit a metallic target to produce X-rays. It produces continuous
as
well
as
34.
The moment of inertia of a unifo cylinder of length I and radius R about perpendicular bisector is I. What is ratio I/R such that the moment of iner is minimum ?
characteristic X-rays.
If tr^in is the smallest possible wavelength of X-ray in the spectrum, the variation of log \-" with log V is correctly represented
in:
J
(1)
I
o t;
(2)
IJ
t/z t;
(3)
(1)
log tr-i,,
(4)
log V
VJ
T 1.
35. A slender
unilorm rod of mass M
length I is pivoted at one end so that it rotate in
a
e ,
vertical plane (see figure). Th
pivot. The I end is held vertically above the pivot
is negligible friction at the
a
(2)
log tr*i,., log V
then released. The angular accelerat of the rod when it makes an angle 0 u the vertical is : z
(3)
.
log
\.,n
:t
log V
(4)
log \n;n log V
D/Page
E
(1)
?cose
(2)
&
sine
(3)
-6
sin
(4)
3t
2l it
o
3g cos 0 2l
SPACE FOR ROUGH WORK
36. '
C, and C,, are specific heats at constant constant volume re.spectively' pr"rsor" "rtd It is observed that Co-Cr: a for hYdrogen gas C, - C.,: b for nitrogen gas The correct relation between a and b is
:
39.
The temperature of an oPen room of volume 30 m3 increases fuorr. 17C to 2TC due to the sunshine. The atmospheric pressure in the room remains 1x 105 Pa' If q and nl are the number of molecules in the room before and after heating, then
n7-\ will tre
(1) a:28 b 1
37. {
(2) u: 1.4b (3) I a:b (4) a:14 b
(1) -2.5x .L025 (2)
-1.61 x 1023
A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper
(3)
1.38 x 1023
calorimeter of mass 100 gm, filled with 170 gm of v/ater at room temperature' Subsequently, the temPerature of the system is found to be 75'C. T is given by :
(4)
2.5 xL025
(Given : room temperature = 30'C, specific heat of copper=01 cal/ gm'C)
(1) (2)
82s'c 800'c (3), 88s'c (4) 12s0'c modulation, sinusoidal carrier frequency used is denoted by o.
38. In amplitude
and the signal frequency is denoted by to^' such The bandwidth (A
that Aor^<<0r.. Which of the following is not contained in the
frequencies
modulated wave
0) 0.-0^ (2\ l,)m (3)r to. (4) 0- * 0. D
:
/Page
9
40.
slit experimen! slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of trvo wavelengths, 650 nm
In
a Young's double
and 520 nm, is used to obtain interference fringes on the screen' The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is
(1)
15.6 mm
(2)
1.56 mm
(3)
7.8 mm
(4)
9.75 mm
?
SPACE FOR ROUGH WORK
:
41,r A particle A of mass zr
m and initial velocity
collides with a particle B of mass 11
43. An electric dipole has a fixed moment
which. is at rest. The collision i, f,uua ol, and elastic. The rafio of the de_Broglie wavelengths tro to \u after the collision is :
trA trg2
(1)
l',
resPect to
,
T]=
(2)
trB
(1)
experiences a torque
3
trA2
(4)
trg3
A magnetic needle of e .z xlo_z o-, ,.,J
l.:"ro
. *;
Tl= _ ir.
.
o-u*etic
ir
60.
moment
coil is
magnetic field for 1o comPlete
10
Current
(rmp) 8.76 s
(2)
6.65 s
(3)
8.89 s
(4) D/Page
1.0
6.e8 s
t",
In a coil of resistance 100 O a current Itl duced by changing the magnetic flu rh rough it as shown in th e figure. Th ma 8nr tude of change in fl ux through
-;;;"'.',T,T#ffil:
harmonic oscilla tions or o.o1 r. r*;:]'a osc .rations is :
(1)
E|=r[gr.
(1) e0" (2) 30" (3) 4s.
I"
44. 42.
experien<
1
0is: (3).
it
When subjectel
"l.
another electric fieta trA
0
r-axis. When subjected
electric field E-r= El,
torque
1'
which makes angle
c
1
--.-*
(1)
275
wb
(2)
200
wb
(3)
225
wb
(4)
2s0
wb
SPACE FOR ROU GH WORK
11"
0.5 sec
45
A time dependent force F = 5t acts on a particle of mass 1 kg. If the particle starts Irom rest, the work done bY the force during the first 1 sec. will be :
(1)
47.
18I 4.5
(3)
22i
2V
2V
In the above circuit the current in resistance is:
J
(2)r 1A
(3) (4)
Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r = ).t/)tz is given bY :
48
0.25 A
o.s A
A body is thrown vertically upwards. Which one of the following graPhs correctly represent the velocity vs time
t
u
-E
(1)
t+
-tn x1
t
-2E
7)
-3E
(2) t-+ 1
(1) ,
t
3
L1
(3)
4
(2)
3
t
2 (3)
a
3
(4) t
(4)
t=-
J 4
SPACE FOR ROUGH WORK
D/Page 7l 'la t"
\\
each
(1) 0A
(4) eI
46.
1()
1[)
1Q
2V
(2)
2V
2Y
2V
al
-\o
--i
?
=_.-_l
49.
A capacitance of 2 pF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 pF capacitors are available which can withstand a potential difference of not more than 300 V.
52.n Which of the following statements false ?
(1)
energy conservation.
(2)
Wheatstone bridge
is the mos
The minimum number of capacitors
sensitive when all the fou:
required to achieve this is (1) 32
resistances are of the same order oi magnitude..
(2) (3) (4)
:
(3)
2
a
1,6
24
50.r In the given circuit diagram when the current reaches steady state in the circuit,
(4)
53. 6 A particle is executing simple harmonic motion with a time period T. At time t = 0, it is at its position of equilibrium. The
r1
C
kinetic energy - time graph of the particle will look like :
t2 (1)
CE
(2)
CE
11
(r +r)
KE (1)u
CE CE
(4)
(r2
+r) (2)
(r +r2 )
output voltages wiII be (1) 180. (2) 4s" (3) e0. (4) 13s.
TT 42
T
TT
T t -'
KE
T2
0
2
circuit
using an n-p-n transistor, the phase difference between the input and the
12
0
T1
51. In a common emitter amplifier
/ Page
A rheostat can be used as a potential divider.
r
E
(3) n
In a balanced wheatstone bridge iI the cell and the galvanometer are exchanged, the null point is disturbed.
the charge on the capacitor of capacitance C will be:
D
Kirchhoff's second law represenl
KE (3)
0
T
:
t-'
KE (4)
0
SPACE FOR ROUGH WORK
T
2
T
t-'
t--*
54.
An observer is moving with half the speed of light towards a stationary microwave
57. r
source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer (speed of light:3 x 108 ms - r;
(1) (2) (3) (4)
"15.3
The vadation of acceleration due to gravity
g with distance d from centre of the earth is best represented by (R:Earth's radius):
?
8 (1)
GHz
o
10.1 GHz 1.2.1.
1.7.3
R
I
GHz (2)
GHz
d
o
55. A man grows
into a giant such that his Iinear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a
factor
(3) a
o
d R
of: (4)
0)
(2) (3)
(4) 56.
OR
81
58.
1
(
g
An extemal pressure P is applied on a cube at 0'C so that it is equally compressed from
all sides. K is the bulk modulus of the
81
material of the cube and o is its coefficient of linear expansion. Suppose we want to
bring the cube to its original size by heating. The temperature should be raised
scale deflection. The
by,
value of the resistance to be put in series with the galvanometer to convert it into a voltmeter of range 0 - 10 V is :
(1)
(1) (2) (3) (4) /Page 13
d
e
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15 O,
D
1
it
shows
full
P
(2)
4.00s x 103 O 1.985 x 103 O
(3)
2.045 x 103 O 2.535 x 103 O
3PKo
(4)
3ctK t
P
oK 3o PK
SPACE FOR ROUGH WORK
59.
'
A diverging lens with magnitude of focal length 25 cm is placed at a distance of from a converging lens of magnitude of focal length 20 cm. A beam of parallel light falls on the diverging lens. The final 15 cm
image formed is
(1)
(Z)
PART C
51.. 1 gram of a carbonate (M2CO3) treatment with excess HCI produc, <
0.01186 mole of
(1) (2)
84.3
real and at a distance of 6 cm from
(3)r
11.86
the convergent lens.
(4)
1186
62.
virtual and at a distance of 40 cm
d
from convergent lens.
(4)
real and at a distance of 40 cm from
1
is
mass
:
118.6
Given
oz(8) -+ Co2(g) A,H'= - 393.5 kJ mol-1
clg,upr'it"1 +
convergent lens. (3)
COr. The molar
M2CO3 in g mol -
:
real and at a distance of 40 cm from
CHEMISTRY
-
H2(s) + +o2(g)
+ Hro(l)
;
;
A,H':
-285.8 kJ mol-r Co2(g) + 2Hro(l) -+ CHn(g) + 2o2(g) ; ArH"= +890.3 kJ mol-r Based on the above thermochemici equations, the value of ArH' at 298 K f(
the divergent lens.
the reaction 2Hz(g) -+ CH.(g) will be + 144.0 kJ mol - 1
C1gr"pt it"1 +
60
(1) (2) (3) (4)
2
A body of mass m= 10- kg is moving in a medium and experiences a frictional
force
F: -k712. Its initial
speed is
?ro = 10 ms - 1. If, after 10 s, its energy
1^
E .,'ot, 10-
(2)
10-3 kg m-1
1
kg
m-1s-1
(3)
10-3 kg s-1
(4)
10 4 kg m-r
74
be
:
+ 74.8 kJ mol -
1
The freezing point of benzene decrqpse by 0.45'C when 0.2 g of acetic acid added to 20 g of benzene. If acetic aci
:
(1)
D/Page
ill
-74.8 kJ mol-1 -144.0 kJ mol-l
is
63. the value of k n
:
associates to form a dimer in benzen, percentage association of acetic acid i benzene (K1
will
be
for benzene
(1) (2)
8o.4% 74.67o
(s)
e4.6%
(4)
64.6y.
SPACE FOR ROUGH WORK
:
= 5.12
K kg mol-ry
64.
The most abundant elements by mass in the body of a healthy human adult are : Oxygen (6-1.4'/,); Carbon (22.9%), Hydrogen (10.0"/,); and Nitrogen (2.6%). The weight which a 75 kg person would gain if all 1H atoms are replaced by 2H atoms is :
(1) (2) (3) (4) 55.
r
t
67. v
The Tprdall effect is observed only when following conditions are satisfied :
(.) The diameter of the dispersed particles is much smaller than the wavelength of the light used.
(b)
37.5 kg 7.5 kg 10 kg
(c) The refractive indices of
the disperse'd phase and dispersion
1s kg
medium are almost similar in magnitude.
Isobaric work
(d) The refractive indices of
the dispersed phase and dispersion medium differ greatly in magnitude.
Adiabatic work Isothermal work Isochoric work
The formation of which of the following polymers involves hydrolysis reaction ?
(1) (2) (3)
Terylene
(4)
Nylon 6
"
Bakelite
(2)
(a) and (c)
(3)
(b) and (c)
'
(a) and (d)
69., In the following reactions, ZnO is respectively abting as a/an
ELl a- 7.35 v, E.rr*,., : r/ EL,rol-
1c,tt
=1.33
V
-'o.7 +
E;o-l*z+
v =1.51
V.
Among the following, the strongest reducing agent is
(1).
Mn2+
(2)
Cr3 +
(3) cI15
(b) and (d)
(a)
:
D/Page
(1)
Nylon 6, 6
Given
(4)
The diameter of the dispersed partitle is not much smaller than the wavelengtlr of the light used.
AU is equal to:
(1) (2) (3) (4) r 66.
58.'
Ct
:
:
(u)
ZnO +NarO -+ NarZnO,
(b)
ZnO +CO, -+ ZnCO,
(1)
, (2)
base and base
(3)
acid and base
(4)
base and acid
acid and acid
SPACE FOR ROUGH WORK
70.
Which of the following compounds will bchave as a reducing sugar in an aqueous KOH solution ?
(1)
o
HoH2 C
72.
0 Which of the following species is paramagnetic
(1) co (2) oz
CH 20H
(3)
HO
(2)
73.
HOH2 C
CH 20H
HO
ocH3
(3) (4)
HoH2 CH 2ocH3
OH
o
74.
OH
(4)
o
HoH
ococH3
obtained
following reaction is : Br
D
awe
in
the
6.e 7.0 1.0 7.2
75.r The increasing order of the reactivity is:
CoHs
tBuOK
CHs CHCH
zCHs
CH3CH2CH2CI
CI
A
(D
(+)
p-H,CO-CuHo-CH2CI
(1)
C.H5CH=CHCuHu
(2)
(
+ )c6H5CH(OtBu)CHrCuH,
(3)
(
-
(4)
(
* )C6HsCH(OtBu)CHrCuH,
/ Page 76
[co(Hro)rcl]Clr.Hro [Co(Hro)rClr]cl.2Hro
the following halides for the S"1 reactir
.H
...'..."
CaHs
[Co(Hro).C1.].3Hro [Co(Hro)u]c1,
pKu of a weak acid (HA) and pK6 of
(1) (2) (3) (4)
OH
71. The major product
No
base (BOH) are 3.2 and 3.4, respective The pH of their salt (AB) solution is :
CH 20H
HO
Bz
On heatment of 100 mL of 0.1 M soluti of CoCI..6HrO with excess AgN( 7.2 x 1,022 ions are precipitated. T complex is :
(1) (2)
OH
(3)
r
(4)
OH
?
(u
)C6H5CH(OIBu)CHrC.H,
(1) (ID . (I) < (In) (2) (r)< (u. G) (3) (rr) < (rr) < (D (4).
(III) < 0r) < (r)
SPACE FOR ROUGH WORK 1
'!
,,-:"\+{*
(ID
t.l
76.
77.
Both lithium and magnesium display several similar properties due to the diagonal relationship; however, the one which is incorrect, is : (1) both form soluble bicarbonates (2) both form nitrides (3) nitrates of both Li and Mg yield NO, and O, on heahng (4) both form basic carbonates
79.
(1)
(2)
The correct sequence of reagents for the following conversion will be :
NH cocH3
o
(3)
3
HO
CH:
(4)
cul
(1) CH3MgBr,
I
H+/CH3OH,
80.
lAgNH3)2]+oH-
(2) CH3MgBr, [Ag(NH3)2]+oH-, (3)
[As(NH3)2]+oH-,
stereoisomers for the product is (1) Zero
(2) (3) (4)
CH3MgBr,
H+/cH3oH
(4)
[A8(NH3)2]+oH-, H+/cH3orI CH3MgBr
81.
The products obtained nhen chlorine gas reacts with cold and dilute aqueous NaOH are
:
(1)
CtO, and ClOt
(2)
Cl-
(3)
Ct- and ClOi
(4)
Clo- and Cloi
D/Page 77
and ClO-
3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition
product. The number of possible
H+/cH3oH
7E.
Which of the following compounds will form signilicant amount of meta prodtct during mono-nitra tion reaction ?
:
Two Four Six
Two reactions R, and R2 have identical pre-exponential factors. Activation energy of R, exceeds that of R, by 10 kJ mol- 1. ff
k, and k, are rate constants for ieactions R, and R, respectively at 300 K, then ln(k2/k1) is equal to (R = 8.314 -12
(1) (2) (3) (4)
6 4 8
SPACE FOR ROUCH WORK
:
I mol-ra-t;
82.
Which of the following molecules is least resonance stabilized ?
85.
The major product obtained ir following reaction is :
U
(1)
'o
DIBAL _
(2)
I]
t
(3)
OH
o (1)
CI IO
(4)
83.t
The group having isoelechonic species is
(1) o-, F-, Na, Mg+ (2) G-,p-, Na, Mg2+ (3) O-,F-, Na+, Mg2+ (4)
CHO
(2)
:
ctIo
(3)
. G-, F-, Na+, Mg2+ OH
84.
The radius of the second Bohr orbit for hydrogen atom is : (Planck's Const. h=6.6252 x10-s Is; mass of electron : 9.1091 x 10 - 31 kg; charge of electron e:1.60210 x 10 - 19 C. permittivity of vacuum eo
:
8.854185 x 10- 12
(1)
4.76 A
(2) 0.s2e A (3) 2.1,2 A (4) 1.65 A D/Page
78
kg- h-3A2)
(4)
85.
CI
IO
Which of the follor+,ing reactions is example of a redox reaction
?
(1)
XeF, + PF, -+ [XeF] + pF6-
(2)
XeF6
+ H2O
(3)
XeFu
+ 2HrO _+ XeOrF, + 4HF
(4)
XeF, + OrF, _+ XeF. + O,
SPACE FOR ROUGH WORK
__+
XeOFn
+ 2HF
87.
A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is 'a', the closest approach between atoms in metallic crystal
(1)
2Ji
(2)
,,D
89.. A water sample concentra tion
two
a
(1)
^
(2L
both Soa- and No3 only F-
(3) onty So!(4) only NoJ
2a 90.
88
Sorlium salt of an organic acid ,X, produces effervescence rvith conc. HrSOo. ,X, reacts with the acidified aqueous CaCI, solution
to give a white precipitate
Which of the following, upon treatment with lerr-BuONa followed by addition of bromine water, fails to decolourize the colour of bromine ? QHs (1)
which
decolourises acidic solution of KMnOo. A ts:
BI
(2) Br
(1)
HCooNa
(2)
CHrCooNa
(3)
NarCrOn
(4)
C.HTCOONa
(3) Br
(4) Br
-o0oSPACE FOR R OU GH WORK
)
/ Page t9
level
The anion/anions that make/makes the water sample unsruitable for drinking is/ ale :
.12
(4)
ppm
of following anions
F-:10; so?-=100; Nor:50
will be :
a
(3)
has
