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JEEMAIN-2013
JEEMAIN-2014
JEEMAIN-2015
JEEMAIN-2016
JEEMAIN-2017
Sulphur dioxide and oxygen were allowed to diffuse through a porous partition .
20
d
m
3
of
S
O
2
diffuses through the porous partition in 60 seconds .The volume of
O
2
in
d
m
3
which diffuses under the similar condition in 30 seconds will be (atomic mass of sulphur =32 u):
jeemain
chemistry
2014
set-10
asked
May 25, 2014
by
yamini.v
1
answer
Zirconium phosphate
[
Z
r
3
(
P
O
4
)
4
]
dissociates into three zirconium cations of charge +4 and four phosphate anions of charge -3 . If molar solubility of zirconium phosphate is denoted by S and its solubility product by
K
s
p
then which of the following relationship between
S
and
K
s
p
is correct ?
jeemain
chemistry
2014
set-10
asked
May 25, 2014
by
yamini.v
1
answer
Which one of the following molecules is paramagnetic ?
jeemain
chemistry
2014
set-10
asked
May 25, 2014
by
yamini.v
1
answer
Choose the correct statement with respect to the vapour pressure of a liquid among the following :
jeemain
chemistry
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
Ionization of energy of gaseous Na atoms is
495.5
k
J
m
o
l
−
1
.The lowest possible frequency of light that ionizes a sodium atom is
(
h
=
6.626
×
10
−
34
J
s
N
A
=
6.022
×
10
23
m
o
l
−
1
)
jeemain
chemistry
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
If the function
f
(
x
)
=
{
√
2
+
c
o
s
x
−
1
(
π
−
x
)
2
,
x
≠
π
k
,
x
=
π
is continuous at
x
=
π
, then k equals :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
If m is non - zero number and
∫
x
5
m
−
1
+
2
x
4
m
−
1
(
x
2
m
+
x
m
+
1
)
3
d
x
=
f
(
x
)
+
c
, then
f
(
x
)
is :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
The contrapositive of the statement " If i am not feeling well , then i will go to the doctor " is :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
The principal value of
t
a
n
−
1
(
c
o
t
43
π
4
)
is :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
The function
f
(
x
)
=
|
s
i
n
4
x
|
+
|
c
o
s
2
x
|
, is a periodic function with period :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
Let
¯
x
,
M
and
σ
2
be respectively the mean ,mode and variance of n observations
x
1
,
x
2
,
.
.
.
,
x
n
and
d
i
=
−
x
i
−
a
,
i
=
1
,
2
,
.
.
.
,
n
, where a is any number.
Statement I : Variance of
d
1
,
d
2
,
.
.
,
d
n
is
σ
2
Statement II :Mean and mode of
d
1
,
d
2
,
.
.
,
d
n
are
¯
x
−
a
and
−
M
−
a
, respectively
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
Let A and E be any two events with positive probabilities :
Statement I :
P
(
E
A
)
≥
P
(
A
E
)
P
(
E
)
Statement II :
P
(
A
E
)
≥
P
(
A
∩
E
)
.
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
If
→
x
=
3
ˆ
i
−
6
ˆ
j
−
ˆ
k
,
→
y
=
ˆ
i
+
4
ˆ
j
−
3
ˆ
k
and
→
z
=
3
ˆ
i
−
4
ˆ
j
−
12
ˆ
k
, then the magnitude of the projection of
→
x
×
→
y
on
→
z
is :
jeemain
mathematics
2014
set-10
asked
May 25, 2014
by
yamini.v
0
answers
If the angle between the line
2
(
x
+
1
)
=
y
=
z
+
4
and the plane
2
x
−
y
+
√
λ
z
+
4
=
0
is
π
6
,then the value of
λ
is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Equation of the line of the shortest distance between the lines
x
1
=
y
−
1
=
z
1
ans
x
−
1
0
=
y
+
1
−
2
=
z
i
is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The tangent at an extremely (in the first quadrant) of latus rectum of the hyperbola
x
2
4
−
y
2
5
=
0
, meets x -axis and y -axis at A and B respectively .Then
(
O
A
)
2
−
(
O
B
)
2
, where O is the origin , equals :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
A chord is drawn through the focus of the parabola
y
2
=
6
x
such that its distance from the vertex of this parabola is
√
5
2
, then its slope can be :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The equation of the circle described on the chord
3
x
+
y
+
5
=
0
of the circle
x
2
+
y
2
=
16
as diameter is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
If a line L is perpendicular to the line
5
x
−
y
=
1
, and the area of the triangle formed by the line L and the coordinate axes is 5 , then the distance of line L from the line
x
+
5
y
=
0
is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The circumcentre of a triangle lies at the origin and its centroid is the mid point of the line segment joining the points
(
a
2
+
1
,
a
2
+
1
)
and
(
2
a
,
−
2
a
)
,
a
≠
0
.Then for any a , the orthocentre of this triangle lies on the line :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
If
d
y
d
x
+
y
t
a
n
x
=
s
i
n
2
x
and
y
(
0
)
=
1
, then
y
(
π
)
is equal to :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The area of the region above the x - axis bounded by the curve
y
=
t
a
n
x
,
0
≤
x
≤
π
2
and the tangent to the curve at
x
=
π
4
is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Let function F be defined as
F
(
x
)
=
x
∫
1
e
t
t
d
t
, x > 0 then the value of the integral
x
∫
1
e
t
t
+
a
d
t
, where a > 0 , is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
If the volume of a spherical ball is increasing at the rate of
4
π
c
c
/
s
e
c
, then the rate of increase of its radius (in cm/sec) , when the volume is
288
π
c
c
, is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
If non - zero real numbers b and c are such that min f(x) > max g(x) , where
f
(
x
)
=
x
2
+
2
b
x
+
2
c
2
and
g
(
x
)
=
−
x
2
−
2
c
x
+
b
2
(
x
∈
R
)
;then
|
c
b
|
lies in the interval :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Let
f
:
R
→
R
be a function such that
|
f
(
x
)
|
≤
x
2
, for all
x
∈
R
.Then , at x= 0 , f is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Let
f
(
n
)
=
[
1
3
+
3
n
100
]
n
, where [n] denotes the greatest integer less than or equal to n .Then
∑
56
n
=
1
f
(
n
)
is equal to :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The number of terms in an A.P. is even ; the sum of the odd terms in it is 24 and that the even terms is 30 . If the last term exceeds the first term by
10
1
2
, then the number of terms in the A.P. is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
1
answer
The coefficient of
x
1012
in the expansion of
(
1
+
x
n
+
x
253
)
10
,(where
n
≤
22
is any positive integer),is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Two women and some men participated in a chess tournament in which every participant played two games with each of the other participants .If the number of games that the men played between them - selves exceeds the number of games that the men played with the women by 66 , then the number of men who participated in the tournament lies in the interval :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
1
answer
If
△
r
=
|
r
2
r
−
1
3
r
−
2
n
2
n
−
1
a
1
2
n
(
n
−
1
)
(
n
−
1
)
2
1
2
(
n
−
1
)
(
3
n
−
4
)
|
, then the value of
∑
n
−
1
r
=
1
△
r
:
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Let A and B be any
3
×
3
matrices . If A is symmetric and B is skewsymmetric , then the matrix AB - BA is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
The equation
√
3
x
2
+
x
5
=
x
−
3
, where x is real , has :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
For all complex numbers z of the form
1
+
i
α
,
α
∈
R
, if
z
2
=
x
+
i
y
, then :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
1
answer
Let
f
:
R
→
R
be defined by
f
(
x
)
=
|
x
|
−
1
|
x
|
+
1
then f is :
jeemain
mathematics
2014
set-10
asked
May 24, 2014
by
yamini.v
0
answers
Interference pattern is absorbed at ' P ' due to superimposition of two rays coming out from a source ' S ' as shown in the figure . The value of ' l ' for which maxima is obtained at ' P ' is : (R is perfect reflecting surface)
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
A lamp emits monochromatic green light uniformly in all directions . The lamp is
3
%
efficient in converting electrical power to electromangetic waves and consumes 100 W of power .The amplitude of the electric filed associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
A sinusoidal voltage
V
(
t
)
=
100
s
i
n
(
500
t
)
is applied across a pure inductance of
L
=
0.02
H
. The current through the coil is :
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
Consider two thin identical conducting wires covered with very thin insulating material . One of the wires is bent into a loop and produces magnetic field
B
1
, at its center when a current I passes through it .The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field
B
2
at the center of the loops when current
I
3
passes through it . The ratio
B
1
:
B
2
is :
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
A positive charge ' q ' of mass ' m ' is moving along the
+
x
axis .We wish to apply a uniform magnetic field B for time
Δ
t
so that the charge reverses its direction crossing the y- axis at a distance d . Then :
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
The circuit as shown here has two batteries of 8.0 V and 16.0 V and three resistors
3
Ω
,
9
Ω
and
9
Ω
and a capacitor
5.0
μ
F
. How much is the current I in the circuit in steady state ?
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
0
answers
The space between the plates of a parallel plate capacitor is filled with a ' dielectric ' whose dielectric constant varies with distance as for the relation :
K
(
x
)
=
K
0
+
λ
x
(
λ
)=a constant . The capacitance C , of this capacitor , would be related to its ' vacuum ' capacitance
C
0
as for the relation :
jeemain
physics
2014
set-06
asked
May 24, 2014
by
yamini.v
1
answer
A spherically symmetric charge distribution is characterised by a charge density having the following variation :
ρ
(
r
)
=
ρ
0
(
1
−
r
R
)
f
o
r
r
<
R
ρ
(
r
)
=
0
r
≥
R
where r is the distance from the center of the charge distribution and
ρ
0
is a constant .The electric field at an internal point
(
r
<
R
)
is :
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
1
answer
A source of sound A emitting waves of frequency 1800 Hz is falling towards ground with a terminal speed v .The observer B on the ground directly beneath the source receives waves of frequency 2150 Hz .The source A receives waves , reflected from ground , of frequency nearly : (Speed of sound =343 m/s)
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
0
answers
Which of the following expressions corresponds to simple harmonic motion along a straight line , where x is the displacement and a,b,c are positive constants ?
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
1
answer
At room temperature a diatomic gas is found to have an r.m.s. speed of
1930
m
s
−
1
.The gas is :
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
1
answer
A car not engine absorbs 1000 J of heat energy from a reservoir at
127
0
C
and rejects 600 J of heat energy during each cycle .The efficiency of engine and temperature of sink will be :
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
0
answers
Hot water cools from
60
0
to
50
0
in the first 10 minutes and to
42
0
in the next 10 minutes .The temperature of the surroundings is :
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
0
answers
Two soap bubbles coalesce to form a single bubble . If V is the subsequent change in volume of contained air and S the change in total surface area , T is the surface tension and P atmospheric pressure ,which of the following relation is correct ?
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
1
answer
A cylindrical vessel of cross - section A contains water to a height h.There is a hole in the bottom of radius ' a ' .The time in which it will be emptied is :
jeemain
physics
2014
set-06
asked
May 23, 2014
by
yamini.v
0
answers
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