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JEEMAIN and NEET
JEEMAIN and NEET
Mathematics
Physics
Chemistry
Biology
NEET PAST PAPERS
JEEMAIN PAST PAPERS
The de-Broglie wavelength of an electron having
80
e
V
energy is nearly : <br> (
1
e
V
=
1.6
×
10
−
19
J
) <br> Mass of electron =
9
×
10
−
31
k
g
<br> Planck's constant =
6.6
×
10
−
34
J
s
)
jeemain
physics
past papers
2001
27
asked
Dec 11, 2018
by
pady_1
0
answers
Photoelectric emission is observed from a metallic surface for frequencies
v
1
and
v
2
of the incident light rays
(
v
1
>
v
2
)
. If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of
1
:
k
, then the threshold frequency of the metallic surface is :
jeemain
physics
past papers
2001
26
asked
Dec 11, 2018
by
pady_1
0
answers
A particle of mass
0.6
g
and having charge of
25
n
C
is moving horizontally with a uniform velocity
1.2
×
10
4
m
s
−
1
in a uniform magnetic field, then value of the magnetic induction is :
(
g
=
10
m
s
−
2
)
jeemain
physics
past papers
2001
25
asked
Dec 11, 2018
by
pady_1
0
answers
If a change in current of
0.01
A
in one coil produces a change in magnetic flux of
2
×
10
−
2
W
b
in the other coil, then the mutual inductance of the two coils in henry is :
jeemain
physics
past papers
2001
24
asked
Dec 11, 2018
by
pady_1
0
answers
A wire in the form of a square of side
′
a
′
carries a current
′
i
′
. Then the magnetic induction at the centre of the square is : <br> (Magnetic permeability of free space =
μ
0
)
jeemain
physics
past papers
2001
23
asked
Dec 11, 2018
by
pady_1
0
answers
Thomson coefficient of a conductor is
10
μ
V
K
. The two ends of it are kept at
50
∘
C
and
60
∘
C
respectively. Amount of heat absorbed by the conductor when a charge of
10
C
flows through it, is :
jeemain
physics
past papers
2001
22
asked
Dec 11, 2018
by
pady_1
0
answers
When a resistor of
11
Ω
is connected in series with an electric cell, the current flowing in it is
0.5
A
. Instead, when a resistor of
5
Ω
is connected to the same electric cell in series, the current increases by
0.4
A
. The internal resistance of the cell is :
jeemain
physics
past papers
2001
21
asked
Dec 11, 2018
by
pady_1
0
answers
A closed hollow insulated cylinder is filled with gas at
0
∘
C
and also contain an insulated piston of negligible weight and negligible thickness at the middle point. The gas in one side of the piston is heated to
100
∘
C
. If the piston moves
5
c
m
. The length of the hollow cylinder is :
jeemain
physics
past papers
2001
20
asked
Dec 11, 2018
by
pady_1
0
answers
When an air bubble of radius
′
r
′
rises from the bottom to the surface of a lake. Its radius becomes
5
r
4
(the pressure of the atmosphere is equal to the 10 m height to water column). If the temperature is contant and the surface tension is neglected the depth of the lake is :
jeemain
physics
past papers
2001
19
asked
Dec 11, 2018
by
pady_1
0
answers
A lead bullet of mass
10
g
travelling at
300
m
/
s
strikes against a block of wood and comes to rest. Assuming
50
%
of heat is absorbed by the bullet, the increase in its temperature is : <br> (specific heat of lead =
150
J
/
k
g
∘
C
)
jeemain
physics
past papers
2001
18
asked
Dec 11, 2018
by
pady_1
0
answers
The pressure and density of a diatomic gas
(
γ
=
7
5
)
changes adiabatically from
(
P
,
d
)
to
(
P
′
,
d
′
)
. If
d
′
d
=
32
. Then
P
′
P
is :
jeemain
physics
past papers
2001
17
asked
Dec 11, 2018
by
pady_1
0
answers
The wavelength of maximum intensity of radiation emitted by a star is
289.8
n
m
. The radiation intensity of the star is : <br> (Stefan's contant =
5.67
×
10
−
8
W
m
2
K
−
4
, constant
b
=
2898
μ
m
K
)
jeemain
physics
past papers
2001
16
asked
Dec 11, 2018
by
pady_1
0
answers
In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced to
3
4
t
h
of the original length and the tension is changed. The factor by which the tension is to be changed is :
jeemain
physics
past papers
2001
15
asked
Dec 11, 2018
by
pady_1
1
answer
The sound waves of wavelengths 5 m and 6 m formed 30 beats in 3 seconds. The velocity of sound is :
jeemain
physics
past papers
2001
14
asked
Dec 11, 2018
by
pady_1
0
answers
In the visible region the dispersive powers and the mean angular deviations for crown and flint glass prisms are
ω
,
ω
′
and
d
,
d
′
respectively. The condition of getting dispersion wih zero deviation, when the two prisms are combined is :
jeemain
physics
past papers
2001
13
asked
Dec 11, 2018
by
pady_1
0
answers
One face of the glass prism is silver polished. A light ray falls at an angle of
45
∘
on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of prism is
30
∘
. The refractive index of the prism is :
jeemain
physics
past papers
2001
12
asked
Dec 11, 2018
by
pady_1
0
answers
When a glass prism of refracting angle
60
∘
is immersed in a liquid its angle of minimum deviation is
30
∘
. The critical angle of glass with respect to the liquid medium is :
jeemain
physics
past papers
2001
11
asked
Dec 11, 2018
by
pady_1
0
answers
Light waves producing interference have their amplitudes in the ratio
3
:
2
. The intensity ratio of maximum and minimum of interference fringes is :
jeemain
physics
past papers
2001
10
asked
Dec 11, 2018
by
pady_1
0
answers
The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness, is one. The thickness of the air column is : <br> Refractive index of air
μ
c
=
1.0003
<br> Wavelength of yellow light in vacuum =
6000
˚
A
jeemain
physics
past papers
2001
9
asked
Dec 11, 2018
by
pady_1
0
answers
A magnet of length
10
c
m
and magnetic moment
1
A
m
2
is placed along side AB of an equilateral triangle ABC. If the length of the side AB is
10
c
m
. The magnetic induction at the point 'C' is :<br>
(
μ
0
=
4
π
×
10
−
7
H
m
−
1
)
jeemain
physics
past papers
2001
8
asked
Dec 11, 2018
by
pady_1
1
answer
A magnet freely suspended in a vibration magnetometer makes
40
oscillations per minute at place 'A' and
20
oscillations per minute at a place 'B'. If the horizontal component of earth's maagnetic field at 'A' is
36
×
10
−
6
T
, then its value at 'B' is :
jeemain
physics
past papers
2001
7
asked
Dec 11, 2018
by
pady_1
0
answers
A body of capacity
4
μ
F
is charged to
80
V
and another body of capacity
6
μ
F
is charged to
30
V
. When thet are connected the energy lost by
4
μ
F
capacitor is :
jeemain
physics
past papers
2001
6
asked
Dec 11, 2018
by
pady_1
0
answers
There is a uniform electric field of strength
10
3
V
m
−
1
along
y
-axis. A body of mass
1
g
and charge
10
−
6
C
is projected into the field from origin along the positive
X
-axis with a velocity
10
m
s
−
1
. Its speed in
m
s
−
1
after
10
s
e
c
is :<br> (Neglect gravitation)
jeemain
physics
past papers
2001
5
asked
Dec 11, 2018
by
pady_1
0
answers
A
20
F
capacitor is charged to
5
V
and isolated. It is then connected in parallel with an uncharged
30
F
capacitor. The decrease in the energy of the system will be :
jeemain
physics
past papers
2001
4
asked
Dec 11, 2018
by
pady_1
0
answers
Two electric charges of
9
μ
C
and
−
3
μ
C
are placed
0.16
m
apart in air. There will be a point
′
P
′
at which electric potential is zero on the line joining two charges and in between them. The distance of
P
from
9
μ
C
is :
jeemain
physics
past papers
2001
3
asked
Dec 11, 2018
by
pady_1
0
answers
If the charge on a body is increased by 2
C
, the energy stored in it increases by
21
%
. The original charge on the body in coulomb is :
jeemain
physics
past papers
2001
2
asked
Dec 11, 2018
by
pady_1
0
answers
A nichrome wire
50
c
m
long and
1
m
m
2
cross-section carries a current of
4
A
. When connected to
2
volt battery. The resistivity of nichrome with in
Ω
−
m
is :
jeemain
physics
past papers
2001
1
asked
Dec 11, 2018
by
pady_1
0
answers
The number of real roots of
3
2
x
2
−
7
x
+
7
=
9
is :
jeemain
math
past papers
2002
225
asked
Dec 11, 2018
by
pady_1
0
answers
If
|
x
|
<
1
, then the coefficient of
x
n
in expansion of
(
1
+
x
+
x
2
+
x
3
+
.
.
.
)
2
is :
jeemain
math
past papers
2002
224
asked
Dec 11, 2018
by
pady_1
0
answers
The coefficient of
x
5
in
(
1
+
2
x
+
3
x
2
+
.
.
.
.
)
−
3
/
2
is :
jeemain
math
past papers
2002
223
asked
Dec 11, 2018
by
pady_1
0
answers
e
(
x
−
1
)
−
1
2
(
x
−
1
)
2
+
(
x
−
1
)
3
3
−
(
x
−
1
)
4
4
+
.
.
.
equal to :
jeemain
math
past papers
2002
222
asked
Dec 11, 2018
by
pady_1
0
answers
lim
is equal to
jeemain
math
past papers
2002
221
asked
Dec 11, 2018
by
pady_1
0
answers
\tan^{-1} (\frac{1}{4}) + \tan^{-1} (\frac{2}{9})
is equal to :
jeemain
math
past papers
2002
220
asked
Dec 11, 2018
by
pady_1
0
answers
If
\alpha
is a root of
25 \cos^2 \theta + 5 \cos \theta - 12 =0
\frac{\pi}{2} < \alpha < \pi
, then
\sin 2 \alpha
is equal to :
jeemain
math
past papers
2002
219
asked
Dec 11, 2018
by
pady_1
0
answers
The equation
a \sin x + b \cos x = c
where
|c| > \sqrt{a^2 + b^2}
has :
jeemain
math
past papers
2002
218
asked
Dec 11, 2018
by
pady_1
0
answers
In a
\Delta ABC
,
\tan \frac{A}{2} = \frac{5}{6}, \; \tan \frac{C}{2} = \frac{2}{5}
, then :
jeemain
math
past papers
2002
217
asked
Dec 11, 2018
by
pady_1
1
answer
In a triangle
ABC, \; a = 4, \; b = 3, \; \angle{A} = 60^{\circ}
, then
c
is the root of the equation :
jeemain
math
past papers
2002
216
asked
Dec 11, 2018
by
pady_1
0
answers
If
y = \sin^2 \theta + \mathrm{cosec}^2 \theta, \; \theta \neq 0
, then :
jeemain
math
past papers
2002
215
asked
Dec 11, 2018
by
pady_1
0
answers
If
\sin (\alpha + \beta) = 1
,
\sin (\alpha- \beta) = \frac{1}{2}
, then
\tan (\alpha + 2\beta) \tan (2 \alpha +\beta)
is equal to :
jeemain
math
past papers
2002
214
asked
Dec 11, 2018
by
pady_1
0
answers
If
\tan \theta = -\frac{4}{3}
, then
\sin \theta
is :
jeemain
math
past papers
2002
213
asked
Dec 11, 2018
by
pady_1
0
answers
The value of
\frac{1 - \tan^2 15^{\circ}}{1+ \tan^2 15^{\circ}}
is :
jeemain
math
past papers
2002
212
asked
Dec 11, 2018
by
pady_1
0
answers
The centre of the circle given by
\overrightarrow{r}.(\hat{i} + 2 \hat{j} + 2 \hat{k}) =15
and
| \overrightarrow{r} - (\hat{j} + 2 \hat{k})| = 4
is :
jeemain
math
past papers
2002
211
asked
Dec 11, 2018
by
pady_1
0
answers
If the vectors
\overrightarrow{a} = x \hat{i} + y \hat{j} + z \hat{k}
and such that
\overrightarrow{a} , \; \overrightarrow{c}
and
\overrightarrow{b}
form a right handed system, then
\overrightarrow{c}
is :
jeemain
math
past papers
2002
210
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the chord joining two points
(x_1, y_1)
and
(x_2, y_2)
on the rectangular hyperbola
xy = c^2
is :
jeemain
math
past papers
2002
209
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the ellipse whose foci are
(\pm 2, 0)
and eccentricity is
1/2
is :
jeemain
math
past papers
2002
208
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the tangent to the circle
x^2 +y^2 + 4x-4y + 4 =0
which make equal intercepts on the positive co-ordinate axes, is :
jeemain
math
past papers
2002
207
asked
Dec 11, 2018
by
pady_1
0
answers
The greatest distance of the point
P(10, 7)
from the circle
x^2 + y^2 - 4x - 2y - 20 = 0
is :
jeemain
math
past papers
2002
206
asked
Dec 11, 2018
by
pady_1
0
answers
A straight line through the point
(2, 2)
intersects the lines
\sqrt{3}x + y = 0
and
\sqrt{3}x - y = 0
at the points A and B. The equation to the line AB so that the OAB is equilateral, is :
jeemain
math
past papers
2002
205
asked
Dec 11, 2018
by
pady_1
0
answers
Three straight lines
2x+ 11y - 5 = 0, \; 24x + 7y - 20 = 0
and
4x - 3y - 2 = 0
:
jeemain
math
past papers
2002
204
asked
Dec 11, 2018
by
pady_1
0
answers
Let
f(2) = 4
and
f'(2) = 4
. Then
\begin{align*} \displaystyle\lim_{x \to 2} \frac{xf(2) - 2 f(x)}{x-2} \end{align*}
is given by :
jeemain
math
past papers
2002
203
asked
Dec 11, 2018
by
pady_1
0
answers
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