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Recent questions in JEEMAIN PAST PAPERS
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JEEMAIN PAST PAPERS
JEEMAIN PAST PAPERS
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A small particleof mass m is projected at an angle
θ
with the x-axis with a initial velocity
v
0
in the x-yplane as shown in the figure. At a time
t
<
v
0
sin
θ
g
, the angular momentum of the particle is <br> <br> where
ˆ
i
,
ˆ
j
and
ˆ
k
are unit vectors along
x
,
y
and
z
−
a
x
i
s
respectively.
jeemain
physics
past papers
2010
59
asked
Dec 11, 2018
by
pady_1
0
answers
The speed of light in the medium is
jeemain
physics
past papers
2010
58
asked
Dec 11, 2018
by
pady_1
0
answers
An initially parallel cylindrical beam travels in a medium of refractive index
μ
(
I
)
=
μ
0
+
μ
2
I
, where
μ
0
and
μ
2
are positive constants and
I
is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. <br><br> QUESTION : The initial shape of the wave front of the beam is
jeemain
physics
past papers
2010
57
asked
Dec 11, 2018
by
pady_1
0
answers
An initially parallel cylindrical beam travels in a medium of refractive index
μ
(
I
)
=
μ
0
+
μ
2
I
, where
μ
0
and
μ
2
are positive constants and
I
is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. <br> <br> Question : As the beam enters the medium, it will
jeemain
physics
past papers
2010
56
asked
Dec 11, 2018
by
pady_1
0
answers
For a particle in uniform circular motion the acceleration
→
a
at a point
P
(
R
,
θ
)
on the circle of radius R is (here
θ
is measured from the x-axis)
jeemain
physics
past papers
2010
55
asked
Dec 11, 2018
by
pady_1
0
answers
Two fixed frictionless inclined plane making an angle
30
∘
and
60
∘
with the vertical are shown in the figure. Two block A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ? <br>
jeemain
physics
past papers
2010
54
asked
Dec 11, 2018
by
pady_1
0
answers
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of
′
P
′
is such that it sweeps out a length
s
=
t
3
+
5
, where
s
is metres and
t
is in seconds. The radius of the path is
20
m
. The acceleration of
′
P
′
when
t
=
2
s
is nearly <br>
jeemain
physics
past papers
2010
53
asked
Dec 11, 2018
by
pady_1
0
answers
Two conductors have the same resistance at
0
∘
C
but their temperature coefficients of resistance are
α
1
and
α
2
. The respective temperature coefficients of their series and parallel combinations are nearly
jeemain
physics
past papers
2010
52
asked
Dec 11, 2018
by
pady_1
0
answers
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of
30
∘
with each other. When suspended in a liquid of density
0.8
g
c
m
−
3
, the angle remains the same. If density of the material of the sphere is
16
g
c
m
−
3
, the dielectric constant of the liquid is
jeemain
physics
past papers
2010
51
asked
Dec 11, 2018
by
pady_1
0
answers
The potential energy function for the force between two atoms in a diatomic molecule is approximately given by
U
(
x
)
=
a
x
12
−
b
x
6
, where
a
and
b
are constants and
x
is the distance between the atoms. If the dissociation energy of the molecule is
D
=
[
U
(
x
=
∞
)
−
U
a
t
e
q
u
i
l
i
b
r
i
u
m
]
,
D
is
jeemain
physics
past papers
2010
50
asked
Dec 11, 2018
by
pady_1
1
answer
Let there be a spherically symmetric charge distribution with charge density varying as
ρ
(
r
)
=
ρ
0
(
5
4
−
r
R
)
upto
r
=
R
and
ρ
(
r
)
=
0
for
r
>
R
, where
r
is the distance from the origin. The electric field at a distance
r
(
r
<
R
)
from the origin is given by
jeemain
physics
past papers
2010
49
asked
Dec 11, 2018
by
pady_1
0
answers
In a series LCR circuit
R
=
200
Ω
and the voltage and the frequency of the main supply is 220 V and 50 Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by
30
∘
. On taking out the inductor from the circuit leads the voltage by
30
∘
. The power dissipiated in the LCR circuit is
jeemain
physics
past papers
2010
48
asked
Dec 11, 2018
by
pady_1
0
answers
The respective number of significant figures for the numbers
23.023
,
0.0003
and
2.1
×
10
–
3
are
jeemain
physics
past papers
2010
47
asked
Dec 11, 2018
by
pady_1
0
answers
If a source of power 4 kW produces
10
20
photons/second, the radiation belong to a part of the spectrum called
jeemain
physics
past papers
2010
46
asked
Dec 11, 2018
by
pady_1
0
answers
A diatomic ideal gas is used in a Car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32V the efficiency of the engine is
jeemain
physics
past papers
2010
45
asked
Dec 11, 2018
by
pady_1
0
answers
The combination of gates shown below yields
jeemain
physics
past papers
2010
44
asked
Dec 11, 2018
by
pady_1
0
answers
A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field E at the centre O is
jeemain
physics
past papers
2010
43
asked
Dec 11, 2018
by
pady_1
0
answers
A radioactive nucleus (initial mass number A and atomic number Z) emits 3
α
particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be
jeemain
physics
past papers
2010
42
asked
Dec 11, 2018
by
pady_1
0
answers
The speed of daughter nuclei is
jeemain
physics
past papers
2010
41
asked
Dec 11, 2018
by
pady_1
0
answers
The binding energy per nucleon for the parent nucleus is
E
1
and that for the daughter nuclei is
E
2
.Then
jeemain
physics
past papers
2010
40
asked
Dec 11, 2018
by
pady_1
0
answers
The figure shows the position – time (x – t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is <br>
jeemain
physics
past papers
2010
39
asked
Dec 11, 2018
by
pady_1
0
answers
In the circuit shown below, the key K is closed at t = 0. The current through the battery is
jeemain
physics
past papers
2010
38
asked
Dec 11, 2018
by
pady_1
0
answers
Two long parallel wires are at a distance 2d apart. They carry steady equal current flowing out of the plane of the paper as shown. The variation of the magnetic field along the line XX ' is given by
jeemain
physics
past papers
2010
37
asked
Dec 11, 2018
by
pady_1
0
answers
A particle is moving with velocity
v
=
K
(
y
ˆ
i
+
x
ˆ
j
)
, where K is a constant. The general equation for its path is
jeemain
physics
past papers
2010
36
asked
Dec 11, 2018
by
pady_1
0
answers
A ball is made of a material of density
ρ
where
ρ
o
i
l
<
ρ
<
ρ
w
a
t
e
r
with
ρ
o
i
l
and
ρ
w
a
t
e
r
representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position ?
jeemain
physics
past papers
2010
35
asked
Dec 11, 2018
by
pady_1
0
answers
Statement-1 : When ultraviolet light is incident on a photocell, its stopping potential is
V
0
and the maximum kinetic energy of the photoelectrons is
K
m
a
x
. When the ultraviolet light is replaced by X- rays, both V0 and Kmax increase. Statement-2 : Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light.
jeemain
physics
past papers
2010
34
asked
Dec 11, 2018
by
pady_1
0
answers
Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement-2 : Principle of conservation of momentum holds true for all kinds of collisions.
jeemain
physics
past papers
2010
33
asked
Dec 11, 2018
by
pady_1
0
answers
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose
t
1
is the time taken for the energy stored in the capacitor to reduce to half its initial value and
t
2
is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio
t
1
/
t
2
will be
jeemain
physics
past papers
2010
32
asked
Dec 11, 2018
by
pady_1
0
answers
A rectangular loop has a sliding connector PQ of length A and resistance
R
Ω
and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents
I
1
,
I
2
and I are
jeemain
physics
past papers
2010
31
asked
Dec 11, 2018
by
pady_1
0
answers
For a particular reversible reaction at temperature
T
,
Δ
H
and
Δ
S
were found to be both +ve. If Te is the temperature at equilibrium, the reaction would be spontaneous when
jeemain
physics
past papers
2010
30
asked
Dec 11, 2018
by
pady_1
0
answers
The polymer containing strong intermolecular forces e.g. hydrogen bonding,
jeemain
chemistry
past papers
2010
29
asked
Dec 11, 2018
by
pady_1
0
answers
The correct order of
E
0
M
2
/
M
values with negative sign for the four successive elements
C
r
,
M
n
,
F
e
jeemain
chemistry
past papers
2010
28
asked
Dec 11, 2018
by
pady_1
0
answers
Biuret test is not given by
jeemain
chemistry
past papers
2010
27
asked
Dec 11, 2018
by
pady_1
0
answers
Out of the following, the alkene that exhibits optical isomerism is
jeemain
chemistry
past papers
2010
26
asked
Dec 11, 2018
by
pady_1
0
answers
Percentage of free space in cubic close packed structure and in body centred packed structure are respectively
jeemain
chemistry
past papers
2010
25
asked
Dec 11, 2018
by
pady_1
0
answers
At
25
∘
C
, the solubility product of
M
g
(
O
H
)
2
is
1.0
×
10
–
11
. At which
p
H
, will
M
g
2
+
ions start precipitating in the form of
M
g
(
O
H
)
2
from a solution of
0.001
M
M
g
2
+
ions ?
jeemain
chemistry
past papers
2010
24
asked
Dec 11, 2018
by
pady_1
0
answers
The Gibbs energy for the decomposition of
A
l
2
O
3
at
500
∘
C
is as follows :<br>
2
3
A
l
2
O
3
→
4
3
A
l
+
O
2
,
Δ
r
G
=
+
966
k
J
m
o
l
−
1
<br> The potential difference needed for electrolytic reduction of
A
l
2
O
3
at
500
∘
C
is at least
jeemain
chemistry
past papers
2010
23
asked
Dec 11, 2018
by
pady_1
0
answers
Solubility product of silver bromide is
5.0
×
10
–
13
. The quantity of potassium bromide (molar mass taken as
120
g
o
f
m
o
l
–
1
) to be added to
1
l
i
t
r
e
o
f
0.05
M
solution of silver nitrate to start the precipitation of AgBr is
jeemain
chemistry
past papers
2010
22
asked
Dec 11, 2018
by
pady_1
0
answers
The correct sequence which shows decreasing order of the ionic radii of the elements is
jeemain
chemistry
past papers
2010
21
asked
Dec 11, 2018
by
pady_1
0
answers
The correct order of increasing basicity of the given conjugate bases
(
R
=
C
H
3
)
is
jeemain
chemistry
past papers
2010
20
asked
Dec 11, 2018
by
pady_1
0
answers
The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
jeemain
chemistry
past papers
2010
19
asked
Dec 11, 2018
by
pady_1
0
answers
In aqueous solution the ionization constants for carbonic acid area
K
1
=
4.2
×
10
−
and
K
2
=
4.8
×
10
−
11
Select the correct statement for a saturated 0.034 M solution of the carbonic acid.
jeemain
chemistry
past papers
2010
18
asked
Dec 11, 2018
by
pady_1
0
answers
Three reactions involving
H
2
P
O
−
4
are given below :
(
i
)
H
3
P
O
4
+
H
2
O
→
H
3
O
+
+
H
2
P
O
−
4
(
i
i
)
H
2
P
O
−
4
+
H
2
O
→
H
P
O
2
−
4
+
H
3
O
+
(
i
i
i
)
H
2
P
O
−
4
+
O
H
−
→
H
3
P
O
4
+
O
2
−
<br>In which of the above does
H
2
P
O
−
4
act as an acid ?
jeemain
chemistry
past papers
2010
17
asked
Dec 11, 2018
by
pady_1
0
answers
The main product of the following reaction is
C
6
H
5
C
H
2
C
H
(
O
H
)
C
H
(
C
H
3
)
2
c
o
n
c
.
H
2
S
O
4
→
?
jeemain
chemistry
past papers
2010
16
asked
Dec 11, 2018
by
pady_1
0
answers
On mixing, heptane and octane form an ideal solution. At
373
K
, the vapour pressures of the two liquid components (heptane and octane) are
105
k
P
a
and
45
k
P
a
respectively. Vapour pressure of the solution obtained by mixing
25.0
g
of heptane and
35
g
of octane will be (molar mass of heptane =
100
g
m
o
l
–
1
an dof octane
=
114
g
m
o
l
–
1
)
.
jeemain
chemistry
past papers
2010
15
asked
Dec 11, 2018
by
pady_1
0
answers
Which one of the following has an optical isomer ?
jeemain
chemistry
past papers
2010
14
asked
Dec 11, 2018
by
pady_1
0
answers
Consider the following bromides : The correct order of
S
N
1
0 reactivity is
jeemain
chemistry
past papers
2010
13
asked
Dec 11, 2018
by
pady_1
0
answers
Ionisation energy of
H
e
+
is
19.6
×
10
–
18
J
a
t
o
m
–
1
.
The energy of the first stationary state
(
n
=
1
)
of
L
i
2
+
is
jeemain
chemistry
past papers
2010
12
asked
Dec 11, 2018
by
pady_1
0
answers
The energy required to break one mole of Cl–Cl bonds in
C
l
2
is
242
k
J
m
o
l
–
1
. The longest wavelength of light capable of breaking a single
C
l
–
C
l
bond is
(
c
=
3
x
10
8
m
s
–
1
a
n
d
N
A
=
6.02
×
10
23
m
o
l
–
1
)
jeemain
chemistry
past papers
2010
11
asked
Dec 11, 2018
by
pady_1
0
answers
29.5
m
g
of an organic compound containing nitrogen was digested according to Kjeldahl’s method and the evolved ammonia was absorbed in
20
m
L
of
0.1
M
H
C
l
solution. The excess of the acid required
15
m
L
of
0.1
M
N
a
O
H
solution for complete neutralization. The percentage of nitrogen in the compound is
jeemain
chemistry
past papers
2010
10
asked
Dec 11, 2018
by
pady_1
0
answers
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