# http://iitscholars.com http://iitvidya.com http://iitscholar.com http

```http://iitscholars.com http://iitvidya.com http://iitscholar.com
x 2 y2

 1. If (h, k) is the point of intersection of
a 2 b2
MATHEMATICS
the normals at P and Q, then k is equal to
1.
Co-ordinates of the focus of the parabola x – 4x – 8y
– 4 = 0 are
(A) (0, 2)
(B) (2, 1)
(C) (1, 2)
(D) (-2, -1)
2.
The equation of the directrix of the parabola y2 + 4y + 10.
4x + 2 = 0 is
(A) x = -1
(B) x = 1
3
3
(C) x  
(D) x 
2
2
3.
If the line x – 1 = 0 is the directrix of the parabola y2 –
kx + 8 = 0, then one of the values of k is
11.
1
(A)
(B) 8
8
1
(C) 4
(D)
4
4.
5.
6.
If y = mx + c touches the parabola y2 = 4a(x + a), then
a
a
(A) c 
(B) c  am 
m
m
a
(C) c  a 
(D) none of these
m
12.
13.
A man running round a race course notes that the
sum of the distance of two flag-posts from him is
always 10 meters and the distance between the
flag posts is 8 meters. The area of the path he
encloses in square meters is
(A) 15
(B) 12
(C) 18
(D) 8
14.
The radius of the circle passing through the foci of
(B) 3
(D) 7/2
x2
y2

1
10  a 4  a
15.
7.
The equation
8.
ellipse if
(A) a < 4
(B) a > 4
(C) 4 < a < 10
(D) a > 10
The value of m for which y = mx + 6 is tangent to
represents an
x2
y2

 1 is
16.
100 49
17
20
(A)
(B)
20
17
3
20
(C)
(D)
20
3
Let P  a sec , b tan  and Q  a sec , b tan  , where
the hyperbola
9.
a 2  b2
a
(B)  

(C)
a 2  b2
b
(D)  



,
2
 a 2  b2 
b 
PQ and RS are two perpendicular chords of the
rectangular hyperbola xy = c2. If C is the centre of
this hyperbola then product of the slopes of CP,
CQ, CR and CS is
(A) 1
(B) –1
(C) 0
(D) none
The locus of the mid–point of the line segment
joining the focus to a moving point on the
parabola y2 = 4ax is another parabola with
directrix
(1) x = –a
(2) x = – a/2
(3) x = 0
(4) x = a/2
If x, y, z are the three geometric means between
6 and 54, then z =
(A) 9 3
(B) 18
(C) 18 3
(D) 27
If a1 , a2 , a3 ,.... are in A.P. such that
a1  a5  a10  a15  a20  a24  225
then
a1  a2  a3  ....  a23  a24 
(A) 909
(C) 750
(B) 75
(D) 900
If H 1 , H 2 ,....., H n are ‘n’ harmonic means
between ‘a’ and ‘b’ then the value of
H1  a H n  b


H1  a H n  b
x 2 y2
the ellipse

 1, and having its centre (0, 3)
16 9
is
(A) 4
(C) 12
 a 2  b2 
a 
(A)
2
(A) n + 1
(B) n – 1
(C) 2n
(D) 2n + 3
If a, b, c are in A.P., p, q, r are in H.P and ap,
bq, cr are in G.P., then
p r
 =
r p
(A)
a c

c a
(B)
a c

c a
(C)
b q

q b
(D)
b a

q p
The interior angles of a polygon are in A.P. If
the smallest angle is 100 o and the common
difference is 4 o , then the number of sides is
(A) 5
(B) 7
(C) 36
(D) 44
be two points on the hyperbola
http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
17.
For a real number x, [.] denotes the greatest integer. The
value of
 (x) 
1
(B) A = , z  

2
 f (x) 
1 1 1  1 2 
 1 99 





...

 2   2 100   2 100 
 2  100  is:
(A) 49
(C) 48
18.
If f ( x  y, x  y)  xy , then the arithmetic mean of
f  x, y  and f  y, x  is
(A) y
(B) x
(C) 0
(D) xy
19.
20.
(C) A 
(B) 50
(D) 51
1 1
If 3 f ( x)  5 f     3, x( 0)  R then f ( x) 
 x x
1 3

(A)
  5x  6 
14  x

1 3

(B)
   5x  6 
16  x

1 3

(C)
   5x  6 
14  x

3
(D)   5 x  6
x
25.
(B) [2, 3]
(D) [2, 3)
(C) A =
22.
x
26.
(C) (2,3]
(D) (3, 9)
(1  x)dx
 ex x 2 (1  e2x x 2 )
(D) A = – 2
1 x
 x
dx = A 1 – x 2 1    Bcos 1 x  c
1 x
 2
1
 tan 1(xe x )  c
x
(B) 
1
 tan 1 (e x )  c
x
xe
(C) 
1
 tan 1(xe x )  c
x
xe
(C) A  1, B =

1
4
–1
2
(B) A  B  
(D) A 
A curve passing through (1, 0) whose gradient
(B) E
1
e
(D) 
1
e
1
e
2ln x
dx 
0
1
4
1
2
1
(D)
4
(A) 0
1
1
,B 
4
4
(C)
{f (x). '(x)  f '(x).(x)}

f (x).(x)
{log (x)  log f (x)}dx  A(log z)2  C
(A) – e
(C) 
27.
(A) A  1, B  
is equal to
is 
then
23.
(B) (0, )
 1  log x 
 , has local max value =
2
 x

(B) A = 2
1
2
dx  f (x)  c. then range of f(x) is
(D) xex  tan 1(xex )  c
ln(1  x)
 1  x dx = A ln (1 + x) dx + c then
(A) A = 4
3 log x)
(x)
f(x)
(A) (,0)
(A)
f ( x)  log10 [1  log10 ( x 2  5 x  16)] is
21.

e2(x
The domain of the function
(A) (2, 3)
(C) (2, 3]
1
(x)
z=
2
f (x)
(D) A  1, z =
24.
2
(B)
1
3
/ 4
28.
 tan
2
xdx 
0
then
(A) 1 
then
(C)
(x)
(A) A = 1, z =
f (x)
/ 2
29.

0

4

1
4
(B) 1 
(D)

4
cos x
dx 
(1  sin x)(2  sin x)
http://iitscholars.com http://iitvidya.com http://iitscholar.com

4
http://iitscholars.com http://iitvidya.com http://iitscholar.com
38.
The area bounded by the curves y = |x| - 1 and
1
(B) log
|x| + 1 is
3
4
3
3
(C) log
4
(A) log
(D) None of these
39.
/ 2
30.
1  cos x
 / 3 (1  cos x)5/ 2 dx 
5
2
1
(C)
2
3
2
2
(D)
5
(A)
1
31.
 sin
0
1
(B)
 2x 
dx 

2 
 1 x 

 2 log 2
2

(C)  log 2
4
(A)
32.
40.

 2 log 2
2

(D)  log 2
4
(B)
If the equations x2 + ax + b = 0 and x2 + bx + a = 0
have exactly one common root, then the numerical
value of a + b is
(A) 1
(B) – 1
(C) 0
(D) None of these
41.
33.
The set of the values of a for which the inequality x2 +
ax + a2 + 6a < 0 is satisfied for all x  (1, 2) lies in the
interval
(A) (1, 2)
(B) [1, 2]
(C) [-7, 4]
(D) None of these
34.
If ax2 + bx + 6 = 0 does not have two distinct real
roots, then the least value of 3a + b is
(A) 2
(B) –2
(C) 1
(D) – 1
35.
Let p and q be the roots of the equation
x2 – 2x + A = 0 and let r and s be the roots of the
equation x2 – 18x + B = 0. If p < q < r < s are in
arithmetic progression then the value of A and B are
given by
43.
(A) A = 3, B = 77
(B) A = 3, B = 7
(C) A = –3, B = 77
(D) A = 3, B = –7
36.
If the inequality
R, then
(A) 1 < m < 5
(C) 1 < m < 6
37.
42.
mx 2  3x  4
 5 is satisfied for all x 44.
x2  2x  2
(B) –1 < m < 5
(D) m 
The area of the quadrilateral formed by the tangents at
the end points of latus recta to the ellipse 5x2 + 9y2 =
45 is
27
(A)
sq. units
(B) 9 sq. units
4
27
(C)
sq. units
(D) 27 sq. units.
2
(A) 1 sq. unit
(B) 2 sq. units
(C) 2 2 sq. units
(D) 4 sq. units.
Let f(x) = min. x  1, 1  x , then area bounded by
f(x) and x-axis is
1
5
(A) sq. units
(B) sq. units
6
6
7
11
(C)
sq. units
(D)
sq. units
6
6
3
The area bounded by the curve y = 2 - |2 – x|, y =
|x|
is
 5  4 ln 2 
(A) 
 sq. units
3


 4  ln 3 
(B) 
 sq units
 2 
 4  3 ln 3 
(C) 
 sq. units
2


 3 ln 3  4 
(D) 
 sq. units
2


Let f(x) be a continuous function such that the area
bounded by the curve y = f(x), the x-axis and then two
a2 a

ordinates x = 0 and x = a is
 sin a  cos a,
2 2
2
then f(/2) is
1
1
(A)
(B)
2
2
(C) 2
(D) -2

45.

The maximum value of (cos 1)(cos 2) . . . . . (cos
n) under the restriction

0  1, 2, . . . n 
and (cot 1) (cot 2) . . . . (cot
2
n) = 1 is
1
1
(A) n / 2
(B) n
2
2
1
(C) n1
(D) 1
2
If  +  = /2 and  +  = , then tan  equals
(A) 2(tan  + tan )
(B) (tan  + tan )
(C) (tan  + 2 tan )
(D) 2 tan  + tan 
If sin  cos3  > sin3  cos , then  lies in
 
(A)  0, 
(B) (0, )
 2
 
(C)  0, 
 4
71
24
y=-
(D) (0, 2)
If z be any complex number such that |3z – 2| + |3z + 2|
= 4, then locus of z is
(A) an ellipse
(B) a circle
(C) a line-segment
(D) a parabola
http://iitscholars.com http://iitvidya.com http://iitscholar.com
46.
47.
http://iitscholars.com http://iitvidya.com http://iitscholar.com
The complex numbers z1, z2 and z3 satisfying
(C) (CH3)3 CCOCH3
(D) (CH3)2C = C(CH3)2
z1  z3 1  3i
are the vertices of a triangle which

z2  z3
2
53.
is
(A) of area zero
(B) equilateral
(C) right angled isosceles
(D) obtuse angled isosceles
If z1 and z2 be the nth roots of unity which subtend
right angle at the origin. Then n must be of the form
(where k  N)
(A) 4k + 1
(B) 4k + 2
(C) 4k + 3
(D) 4k
54.
48.
49.
For all complex numbers z1, z2 satisfying | z1 | = 12 and
| z2 – 3 – 4i | = 5, the minimum and maximum value of
|z1 – z2| is
(A) 0, 2
(B) 2, 22
(C) 7, 17
(D) 2, 17
If |z| = 1, z  1, then the real part of w =
(A)
(C)
50.
2
(B)
| z  1 |2
1
Consider the following transformation
conc.HI
CH3CH  CH  O  CH2CH3 

heat
The major product(s) formed is (are)
(A) CH3CH  CHI and CH3CH2I
(B) CH3CH  CHI and CH3CH2OH
(C) CH3CH2CHO and CH3CH2I
(D) CH3CH 2CH  O  CH 2CH3
|
I
Consider the following sequence of reactions :
The products (A) and (B) are, respectively
O
H
a
n
d
N
H
O
H
(A)
z 1
z 1
(B)
is
1
(C)
| z  1 |2
If z = x + iy,  
=
N

O
H
H
=
N
O
H
a
n
d
=
N
O
H
a
n
d
N
=
O
O
N
O
(D) 0
| z  1| 2
H
S
O
2
4
h
e
a
t
+
H
N
O
H
O
A
2
h
e
a
tB
(D)
1  iz
, then |  | = 1 implies that :
z i
(A) z lies on imaginary axis
(B) z lies on real axis
(C) z lies on unit circle
(D) None of these
55.
=
N
O
Ha
n
d
N
H
How many isomers of monochloride can be obtained
CH3
from
CH3—C—CH2—CH3
on monochlorination
CH3
CHEMISTRY
56.
51.
Consider the following chlorides
(A)
C
H
C
l
2
(B) C
H
3
C
H
C
l
2
57.
CH2=CHCl reacts with HCl to form major product
(A) CH2Cl—CH2Cl
(B) CH3—CHCl2
(C) CH2=CHCl.HCl
(D) None
C
H
C
l
2
58.
The order of reactivity of A, B, C and D towards
hydrolysis by SN1 mechanism is
(A) A < B < C < D (B) D < C < B < A
(C) D < A < B < C (D) C < B < A < D
2-bromopentane is heated with potassium ethoxide in
ethanol. The major product is
(A) Trans - pent-2-ene (B) 2-ethoxy pentane
(C) Pent-1-ene
(D) cis-pent-2-ene
59.
Gem dihalide on hydrolysis gives
(A) Acetone
(B) Aldehyde
(C) Ketone
(D) None
60.
The reaction with ethyl alcohol and methyll
magnesium bromide gives
(A) CH4
(B) C2H6
(C) C3H8
(D) None
(C) C
H
O
3
(D) O
N
2
52.
(A) 1
(B) 2
(C) 3
(D) 4
Butane nitrile may be prepared by heating:
(A) Propyl alcohol with KCN
(B) Butyl alcohol with KCN
(C) Butyl chloride with KCN
(D) Propyl chloride with KCN
C
H
C
l
2
NaNO2

The reaction (CH 3 )2  C  C (CH 3 )2 
dil . H 2 SO4
|
|
OH
NH2
Produces only
(A) (CH 3 )2  C  C (CH 3 )2
|
|
OH
OH
(B) two moles of (CH3)2  C = O
http://iitscholars.com http://iitvidya.com http://iitscholar.com
61.
62.
http://iitscholars.com http://iitvidya.com http://iitscholar.com
(A) Heisenberg uncertainty Principle
The maximum kinetic energy of the photo(B) Hund’s rule
electrons is found to be
–19
(C) Pauli;s exclusion Principle
6.63  10 J. When the metal is irradiated with a
(D) Bohr’s postulates of stationary orbits.
15
2  10 Hz. The threshold frequency of the metal
70.
The ionization energy of a hydrogen atom is 13.6
15 –1
15 –1
eV. The energy of the third-lowest electronic level
(A) 1  10 s
(B) 2  10 s
15 –1
15 –1
in doubly ionized lithium (Z = 3) is
(C) 3  10 s
(D) 1.5  10 s
(A) – 28.7 eV
(B) –54.4 Ev
(C)
–
122.4
eV
(D) –13.6 eV
How fast is an electron moving if it has a wavelength
equal to the distance it travels in one second ?
h
m
(A)
(B)
m
h
h
h
(C)
(D)
p
2(KE)
63.
Hund’s rule deals with the distribution of electrons in
(A) a quantum shell
(B) an orbit
(C) an orbital
(D) degenerate orbitals
64.
If traveling at equal speeds, the longest wavelength of
the following matter waves is that of:
(A) electron
(B) proton
(C) neutron
(D) alpha particles
65.
How many moles of electrons weigh one kilogram?
[Mass of electron = 9.1  10-31 kg, Avagadro’s
number = 6.023  1023]
1
(A) 6.023  1023
(B)
 1031
9.1
6.023
1
54
(C)
(D)
 10
 108
9.1
9.1 6.023
66.
67.
68.
A 200 g cricket ball is thrown with a speed of 3  103
cm/s. The de Broglie wavelength of the ball is
(A) 1.1  10-32 cm
(B) 2.2  10-32 cm
-32
(C) 0.55  10 cm
(D) 11.0  10-32 cm
If the wavelength of the first line of the Balmer series
of hydrogen atom is 656.1 nm, the wavelength of the
second line of this series would be
(A) 218.7 nm
(B) 328.0 nm
(C) 486.0 nm
(D) 640.0 nm
71.
The wavelength of the third line of the Balmer
series for a hydrogen atom is
21
100
(A)
(B)
100R H
21R H
21R H
100R H
(C)
(D)
100
21
72.
The correct set of quantum for the unpaired
electron
of
a
chlorine
atom
is
(Cl = 17)
1
1
(A) 2, 0, 0, 
(B) 2,1,  1, 
2
2
1
1
(C) 3,1,  1, 
(D) 3, 0, 0, 
2
2
The value of the magnetic moment of a particular
ion is 2.83 Bohr magneton. The ion is (Atomic
No. of Mn = 25, Fe = 26, Co = 27, Ni = 28)
(A) Fe2+
(B) Ni2+
2+
(C) Mn
(D) Co3+
73.
74.
If the radius of first Bohr orbit of H-atom is x then
de-Broglie wave length of electron in 3rd orbit is
nearly:
(A) 2x
(B) 6x
(C) 9x
(D) x/3.
75.
Magnetic moment of V (z =
(z = 24), Mn (z = 25) are x, y, z hence
(A) x = y = z
(B) x < y < z
(C) x < z < y
(D) z < y < x.
76.
Magnetic moment of Xn+ (Z = 26) is 24 B.M.
Hence no. of unpaired electrons and value of ‘n’
respectively are
(A) 4, 2
(B) 2, 4
(C) 3, 1
(D) 0, 2
77.
The longest energy transition in the Balmer series
corresponds to
(A) n = 2 to n = 1
(B) n = 3 to n = 1
(C) n = 3 to n = 2
(D) n = 5 to n = 4
78.
A photon of 3000Å is absorbed by a gas and
reemitted two photons. One photon has
wavelength of 4500Å. What would be the
wavelength of other photon?
Which of the following is violation of Pauli’s
exclusion principle?
(a)
23),
Cr
(b)
(c)
(d)
69.
If the electronic configuration of nitrogen had 1s7, it
would have energy lower than that of normal ground
state configuration 1s2 2s2 2p3 because the electrons
would be closer to the nucleus. Yet 1s7 would be not
observed because it violates
http://iitscholars.com http://iitvidya.com http://iitscholar.com
79.
http://iitscholars.com http://iitvidya.com http://iitscholar.com
(A) 4500Å
(B) 2500Å
86.
A first order reaction
(C) 9000Å
(D) 3000Å
2H2O2  2H2O + O2 is 75 percent complete in
100 sec. What is the half – life of the reaction?
Which describes orbital:
(A) 200 sec
(B) 50 sec
(A) 
(B) 2
(C) 400 sec
(D) 150 sec
(C) |2| 
80.
81.
(D) none
Which of the expressions given below gives I.E of H – 87.
atom in terms of Rydberg’s constant:
(A) RHhc
(B) RHNA.hc
(C) RH. (2hc)
(D) RH.C
Consider the reaction mechanism
A2
2A (fast)
A + B 
 P (slow)
where A is the intermediate. The rate law for the
reaction is
(A) k2[A][B]
(B) k2k1/2[A2]1/2[B]
(C) k2k1/2[A][B]
(D) k2k1/2[A]2[B]
82.
83.
The saturated reduction potential for Cu+2/Cu is +
0.34 Volt. Calculate reduction potential at pH =
14 For the above couple Ksp of Cu(OH)2 is
1 × 10-19.
(A) 0.2214 V
(B) -0.2214 V
(C) 2.214 V
(D) 0.1107 V
88.
Aqueous NH4NO2 decomposes according to the
first-order reaction
89.
NH4NO2(aq) 
 N2(g) + 2H2O(l)
After 20 minutes the volume of N2 collected
during such a reaction is 20 mL, and that collected
after a very long time is 40 mL. The rate constant
for the reaction is
(A) 1.435  10-2 min-1
(B) 3.466  10-2 min-1
90.
(C) 3.465  10-2 min-1
-1
(D) 6.93 min
The reaction
 C(g) + D(g) is an
A(g) + 2B(g) 
elementary process. In an experiment involving
this reaction, the initial partial pressure of A and B
are pA = 0.60 atm and pB = 0.80 atm respectively. 91.
When pC = 0.20 atm, the rate of reaction relative
to the initial rate is
(A) 1/6
(B) 1/12
(C) 1/36
(D) 1/18
84.
If in the fermentation of sugar in an enzymatic 92.
solution that is initially 0.12 M the concentration
of sugar is reduced to 0.06 M in 10 hr and to
0.03M is 20 hr, what is the order of the reaction?
(A) 0
(B) 1
(C) 2
(D) 3
85.
The following first order reaction is 50 percent
complete in 24 hours at 300K
2N2O5  4NO2 + O2
How many grams of N2O5 will remain after a
period of 4 days?
[Given : [N2O5]0 = 10 g]
(A) 1.77 g
(B) 1/25 g
(C) 0.63 g
(D) 0.500 g
93.
Calculate emf of silver. Silver chloride electrode
immersed in 1M KCL of 25oC. Given Ksp of
AgCl = 1.8×10-10, Eo Ag+/Ag = 0.799 volt.
(A) 2.23 volt
(B) -0.223 volt
(C) 0.223 volt
(D) none.
Electrolysis of a solution of HSO4- ions produces
S2O8-2. Assuming 75% current efficiency, what
current should be employed to achive a production
rate of 1 mole of S2O8-2 per hour ?
(A) - 71.5 amp
(B) 35.7 amp
(C) 53.0 amp
(D) 44.3 amp
Electrolysis of dil H2SO4 liberates gases at anode
and cathode
(A) O2 & SO2 respectively
(B) SO2 & O2 respectively
(C) O2 & H2respectively
(D) H2 & O2 respectively
Stronger the oxidizing agent, greater is the
(A) Standard reduction potential
(B) Standard oxidation potential
(C) Ionic nature
(D) None
Zn | Zn+2 (C1) || Zn+2 (C2) | Zn
For this cell G is negative if
(A) C1 = C2
(B) C1 > C2
(D) C2 > C1
(D) both (A) & (C) are correct
Emf of the cell
Ni | Ni2+ (0.1M) || Au3+ (1.0M) | Au will be
0
ENi
 0.25,
/ Ni 2
(A) 1.75 V
(C) +0.7795 V
94.
EA0u / Au3  1.5V
(B) +1.7795 V
(D) –1.7795 V
How much time is required for complete
decomposition of two moles of water using a
current of 2 ampere
http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
103. Cathode rays may not be deflected by
(A) 1.93  10 sec
(B) 2.93  105 sec
5
5
(a) Magnetic field
(C) 0.93  10 sec
(D) 4.93  10 sec
5
95.
96.
A 0.2 M KOH solution is electrolysed for 1.5 hr
using a current of 8 amp. How many mol of O2
were produced at the anode
(A) 0.48
(B) 0.224
(C) 0.112
(D) 0.0224
When a lead storage battery is discharged:
(A) SO2 is evolved
(D) sulphuric acid is formed
97.
Which of the following alkanes may be
synthesized from a single alkyl halide by a
process involving coupling reaction ?
(A) 1-Methylbutane
(B) 2-Methylpropane
(C) 2, 3-Dimethylbutane
(D) Propane
98.
An equimolar mixture of methyl iodide and ethyl
iodide is heated with sodium in dry ether. The
expected alkane is
(A) propane
(B) ethane
(C) butane
(D) all of these
99.
100
(b) Electric field
(c) Perpendicular magnetic field & electric field
(A) Only (a)
(B) Only (a) & (b)
(C) Only (c)
(D) (a), (b) & (c)
104. In Millikan’s oil drop experiment, a charged drop of mass
1.8 × 10–14 kg is stationary between its plates. The
distance between the plates is 0.90 cm. The potential
difference is 2 kV. The mass of excess electrons on this
drop is (in kg)
(A) 500 × 10–28
(B) 5
(C) 50 × 10–41
(D) 5 × 9.1 × 10–31
105. Light of frequency 1.5 times the threshold frequency is
incident on a photosensitive material. If the frequency is
halved and the intensity is doubled, the photoelectric
current becomes
(A) Four times
(B) Double
(C) Half
(D) Zero
106. The momentum of a photon of frequency v is
hv
c2
(C) hv c
(A)
hv
c
(D) hv c2
(B)
107. A photon of wavelength 1 × 10–7 m has energy 12.3 eV. If
cis –2, 3-Diphenyl-2-butane is allowed to react
light of wavelength 5000 Å, having intensity I, falls on a
with H2 in the presence of palladium catalyst. The
metal surface, the saturation current is 0.40 A and the
major product will be
stopping potential is 1.3 V. The work function of the
(A) meso-2, 3-diphenylbutane
metal is
(B) (+)-2, 3-diphenylbutane
(A) 2.47 eV
(B) 1.36 eV
(C) (-)-2, 3-diphenylbutante
(C) 1.16 eV
(D) 0.43 eV
(D) ()-2, 3-diphenylbutane
1-butene on reaction with HBr gives mainly
(A) 1-bromobutane
(B) 2-bromobutane
(C) ()-2-bromobutane
(D) 3-bromobutane
108. The ratio of the de-Broglie wavelengths of a proton and 
particle will be 2 : 4 if there
(A) Kinetic energies are in the ratio 1 : 8
(B) Kinetic energies are in the ratio 8 : 1
(C) Velocities are in the ratio 1 : 8
(D) Velocities are in the ratio 8 : 1
109. The ratio of the area of the orbit swept by an electron of
H-atom in 2nd state and 3rd excited state is
PHYSICS
(A) 2 : 3
(B) 4 : 9
101. The ratio of the specific charge of the electron to that of
(C) 4 : 16
(D) 1 : 16
the hydrogen ion is approximately
(1) 1 : 1
(B) 1840 : 1
110. Consider the spectral lien resulting from the transition
(C) 1 : 1840
(D) None of these
from n = 2 to n = 1 in the atoms and ions given below.
102. How many minimum number of NAND gates are only
The shortest wavelength is produced by
required to form OR gate?
(A) Hydrogen atom
(A) One
(B) Two
(B) Deutron atom
(C) Three
(D) Four
(C) Singly ionized helium
http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
(D) Doubly ionized lithium
119. If 10% of a radioactive material decays in 5 days, then the
amount
of
original
material
left
after
111. If the electron in a hydrogen atom jumps from the third
20 days is approximately
orbit to the second orbit, the emitted radiation has
(A) 60%
(B) 65%
wavelength (R is Rydberg’s constant)
(C)
70%
(D) 75%
36
5R
(A)
(B)
5R
36
120. What fraction of the original amount of a radioactive
6
5R
(C)
(D)
substance will have disintegrated after a time equal to its
5R
6
mean life?
112. If elements with principal quantum number n > 4 were not
(A) 0.368
(B) 0.632
allowed in nature, the number of possible elements would
(C) 0.101
(D) ½
be
(A) 60
(B) 32
121. Which of the following has highest binding energy per
(C) 4
(D) 64
nucleon?
(A) He3
(C) He2
(B) He4
(D) All of have equal value
113. The potential difference applied to an x-ray tube is
decreased. As a result, in the emitted radiation
122. Nuclear forces are
(a) The intensity increases
(A) Charge dependent (B) Spin independent
(b) The minimum wavelength increases
(C) Charge independent (D) Long – range
(c) The intensity remains unchanged
(d) The minimum wavelength decreases
123. Nuclear volume of a nucleus
(A) (c) & (d)
(B) (a) & (c)
(A) Varies inversely with mass number
(C) (b) & (c)
(D) All of these
(B) Varies directly with square of mass number
(C) Is constant for all nuclei
114. In the Bohr model of hydrogen atom, let PE represents
(D) Varies directly with mass number
potential energy and TE represent total energy of an
electrons. In going from a lower to higher orbit
124. The circuit shown in the figure contains two diodes each
(A) PE decreases, TE increases
with a forward resistance of 50 and with infinite
(B) PE increases, TE increases
backward resistance. If the battery of 6V is connected in
the circuit, the current through the 100 resistance in
(C) PE decreases, TE decreases
(amp.) is
(D) PE increases, TE decreases
12
115. Suppose the potential energy between electron and proton
Ke 2
at a distance r is given by  3 . Use Bohr’s theory. Find
3r
centripetal force
(A)
Ke 2
r3
(B)
Ke 2
r4
(C)
Ke 2
r2
(D)
Ke 2
r
50
6V
(A) Zero
(C) 0.030
100
(B) 0.02
(D) 0.037
125. A p-type semiconductor has acceptor level 57 m eV above
the valence band. The maximum wavelength of light
required to create a hole is
116. If 200 MeV of energy is released in the fission of one
(A) 57Å
(B) 57 × 10–3Å
nucleus of 92U235, how many nuclei must undrgo fission
(C) 217100 Å
(D) 11.61 × 10–33Å
per second to produce a power of 1 KW?
(A) 3.125 × 1016
(B) 3.125 × 1013
126. If A – B  C and | A || B || C | then what should be the
9
(C) 3.125 × 10
(D) 3.12 × 102
angle between A and B ?
117. The nuclei 6C13 and 7N14 can be described as
(A) Isobars
(B) Isotones
(C) Isotopes of carbon
(D) Isotopes of nitrogen
(A) 0
(C)
2
3
(B)

3
(D) 
127. Dimensional formula of a physical quantity x is [M–1L3T–
2
]. The errors in measuring the quantities M, L and T
118. The end product of the decay of 90Th232 is 82Pb208. The
respectively
are 2%, 3% and 2%. The maximum
number of  and  particles emitted are, respectively
percentage
error
that occurs in measuring the quantity x
(A) 3, 3
(B) 6, 4
is:
(C) 6, 0
(D) 4, 6
http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
(A) 6
(B) 7
(C) 10
(D) 15
128. A train starts from station A, uniformly accelerates for
1
2
minute then moves uniformly for 2 minutes and retards
uniformly for 1 minute to rest to reach station B 2200
meters away. The acceleration of the train in metres/
minute2 will be:
6
33
(A) 1600
(B)
(C) 1200
(D) None of these
increases
linearly
y
2
1
x
(A) T1 > T2
(C) u1 > u2
(B) T1 < T2
(D) u1 < u2
with 135. The average acceleration vector (taken over a full circle)
for a particle having a uniform circular motion is:-
130. Two stones are projected with the same speed but making
different angles with horizontal. Their ranges are equal. If
the angle of projection of one is

and its maximum
3
height is h1 then the maximum height of the other will
be:(A) 3h1
(B) 2h1
h
(C) 1
2
v1 v12  v2 2
(D)
g
vv
(C) 1 2
g
134. Trajectories of two projectiles are shown in figure. Let T1
and T2 be the time of flights and u1 and u2 their speeds of
projection. Then:
129. The velocity of a particle increases linearly with
displacement. The particle starts with some velocity then
out of the following statements the wrong statement is:
(A) the ratio of acceleration and velocity is a
constant
(B) Displacement
increases
exponentially
with
time
(C) Velocity increases linearly with time
(D) Acceleration
velocity
time with a speed v12  v2 2 then the horizontal
displacement of the ball is
v2
v2
(A) 1
(B) 2
g
g
h
(D) 1
3
(A) a constant vector of magnitude
v2
r
(B) a null vector
v2
r
(C) a vector of magnitude
the plane
motion
(D) equal
vector
to
of
the
the
given
directed normal to
uniform
instantaneous
circular
acceleration
136. A mass is supported on a frictionless horizontal surface .
It is attached to a string and rotates about a fixed centre at
131. A projectile is projected from ground with some velocity
an angular velocity 0 . If the length of the string and
and at some angle with horizontal so that its time of flight
angular velocity are doubled, the tension in the string
is ‘T’. The time interval between two points on the path
which was initially T0, is now:
3
where elevation is
of maximum elevation is:
T
4
(A) T0
(B) 0
T
4
3T
(C)
2
2
T
2
T
(D)
3
(A)
(B)
(C) 4T0
(D) 8T0
137. The slope of the smooth banked horizontal road is p. If
the radius of the curve is r, the maximum velocity with
which a car can negotiate the curve is given by:
132. The trajectory of a projectile in a vertical plane is y = px –
2,
qx
where p and q are constants and x & y are
(A) prg
(B) prg
respectively horizontal and vertical distances of the
(C) p / rg
(D) p / rg
projectile from the point of projection. The maximum
height attained by the particle and the angle of projection
from the horizontal are respectively
138. A uniform circular ring is rotated about an axis
2
2
perpendicular to the plane and touching the ring with a
q
p
, tan –1 (q)
, tan –1 (2 p)
(A)
(B)
constant angular velocity. The ratio of acceleration of
2p
q
points B and C is [ diameters AC and BD are
2
2
perpendicular]
p
2p
–1
–1
(C)
4q
, tan ( p)
(D)
q
, tan ( p)
133. A ball is projected horizontally with velocity v1 from
top of a tower. The ball strikes the ground after some
http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
20
2
B
(C)
(D) g
g
3
3
A
C
144. A chain of n links is placed on a smooth horizontal
surface. Each link is of mass m. A force F is applied to the
first link. The force applied by the second last link to the
D
(A) 1
(C)
(B)
1
2
F
n
nF
(C)
m
(D) 2
2
F
m
Fm
(D)
n
(A)
139. 1 g wt is numerically same as
(A) 98 g cm/s2
(B) 980 dyne
2
(C) 980 gm/s
(D) 9.8 N
(B)
145. A boy standing on a weighing machine notices his weight
as 400N. When he suddenly jumps on it, the weight
shown by the machine becomes 600N. The acceleration
with which the boy jumps up is:
140. A bird flying at some height is carrying a stone. The bird
(A) zero
(B) 4.5 ms–2
is flying horizontally with a constant speed. If it releases
(C) 3.4 ms–2
(D) 4.9 ms–2
the stone and keeps on flying horizontal. The path of the
stone as seen by the bird and a man standing on ground
146. A rod of length L and mass M is acted on by two unequal
respectively are:
forces F1 and F2(<F1) as shown in the following figure.
(A) straight line making an acute angle with horizontal,
C
B
A
parabola.
F1
F
2
(B) vertical straight line, parabola
y
(C) vertical straight line, straight line making an acute
L
angle with horizontal
The tension in the rod at a distance y from the end A is
given by:
(D) parabola, parabola
141. The horizontal acceleration that should be given to a
1
smooth inclined plane of angle sin–1   to keep an
l 
object stationary on the plane relative to the inclined
plane is:(A) g / l 2  1
(C)
(B) g l 2  1
l 1 / g
y

 y
  F2  
 L
L
y

 y
(B) F2 1    F1  
 L
L
y
(C)  F1  F2 
L
(A) F1 1 
(D) none of these
(D) g / l  1
2
2
147. A block of mass m is kept on a rough inclined plane
of inclination   45 . The block slips down with
142. A small sphere is suspended by a string from the ceiling
of a car. The tension in the string is T0 when the car is at
rest. When the car begins to move with a constant
acceleration, the tension developed in the string is:
(A) T = T0
(B) T > T0
(C) T < T0
(D) T = 0
constant speed. The same block is pushed against a
vertical wall of roughness identical to inclined plane so
that block does not slip. The minimum horizontal force
required is:
(A) mg
(B) 2mg
(C)
3
mg
2
(D) 3 mg
143. Three equal weights A, B, & C of mass 5kg each are
hanging on a string passing over a fixed frictionless pulley
as shown in the figure. The tension in the string 148. A small heavy ball of mass m is suspended from a point
connecting weights B and C is:
by a thread of length 1 metre. The thread is having a
breaking tension of T0(>mg). The maximum angular
displacement of the ball so that the ball can oscillate in the
vertical plane is:-
A
 3  T0 

 mg 
(A)   cos 1 
B
C
(A)
5
g
3
3
2
T0 
2mg 

T0 
mg 
(B)   cos 1  
(B)
10
g
3
(C)   cos 1  2 

http://iitscholars.com http://iitvidya.com http://iitscholar.com
http://iitscholars.com http://iitvidya.com http://iitscholar.com
 3T0 

 2mg 
(D)   cos 1 
the spring balance shown in figure are correct? [take
the pulley and the string to be massless and
frictionless]
10 kg.
10 kg
10 kg
5 kg
of A is 5 kg and reading of B is
of A is 10 kg and reading of B is
of A is 20kg and reading of B is
of A is 10 kg and reading of B is
150. A man is pulling a rope attached to a block on a smooth
horizontal table. The tension in the rope will be the same
at all points.
(A) if and only if the rope is not accelerated
(B) if and only if the rope is massless
A
10 kg
(C) if either the rope is not acceleration or is
massless
(D) always
B

MATHS
1.
2.
3.
4.
5.
6.
7.
8.
9
10.
11.
12.
13.
14.
15.
16
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32
33.
34.
35.
36.
37.
(B)
(D)
(C)
(B)
(A)
(A)
(A)
(A)
(D)
(A)
(C)
(C)
(D)
(C)
(A)
(A)
(B)
(C)
(B)
(A)
(A)
(C)
(C)
(B)
(C)
(D)
(C)
(A)
(A)
(B)
(A)
(B)
(D)
(B)
(C)
(D)
(D)
CHEMISTRY
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
(A)
(C)
(C)
(B)
(C)
(D)
(B)
(A)
(B)
(A)
(A)
(A)
(D)
(A)
(D)
(A)
(C)
(D)
(C)
(C)
(B)
(C)
(B)
(B)
(C)
(A)
(C)
(C)
(B)
(A)
(B)
(B)
(A)
(B)
(C)
(B)
(B)
PHYSICS
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
114.
115.
116.
117.
118.
119.
120.
121.
122.
123.
124.
125.
126.
127.
128.
129.
130.
131.
132.
133.
134.
135.
136.
137.
http://iitscholars.com http://iitvidya.com http://iitscholar.com
(B)
(C)
(D)
(D)
(D)
(B)
(C)
(D)
(D)
(D)
(A)
(A)
(C)
(B)
(B)
(B)
(B)
(B)
(B)
(B)
(B)
(C)
(D)
(D)
(C)
(B)
(D)
(A)
(C)
(D)
(B)
(C)
(C)
(D)
(B)
(D)
(B)
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
(B)
(C)
(C)
(A)
(A)
(C)
(C)
(C)
(B)
(B)
(D)
(B)
(B)
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
(C)
(A)
(C)
(A)
(C)
(B)
(A)
(C)
(C)
(C)
(D)
(A)
(B)
138.
139.
140.
141.
142.
143.
144.
145.
146.
147.
148.
149.
150.
(B)
(B)
(B)
(A)
(B)
(B)
(A)
(D)
(A)
(A)
(B)
(C)
(C)
```