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BITSAT – Grand Test-1
If their average orbital radii be
1)
2)
( N 1 / N 2 )3 / 2
R1
and
( N 2 / N 1 )3 / 2
R2
and
N1
respectively, then
3) (N1 / N 2 )2 / 3
R1 / R 2
4)
revolutions per year.
is equal to
( N 2 / N 1 )2 / 3
0
2.
N2
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1. Two planets revolve round the sun with frequencies
In Young's double slit experiment if green light (λ=5500 A ) is used then 60 fringes
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were seen in the field of view. If yellow light is used (λ=6000 A ) then number of
fringes observed in the same field of view are
1) 40
3.
2) 60
3) 50
4) 55
From the top of a tower a body A is thrown up vertically with velocity u and
another body B is thrown vertically down with the same velocity u. If vA and vB
are their velocities when they reach the ground and tA and tB are their times of
flight, then
2) vA > vB and tA > tB
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1) vA = vB and tA = tB
4.
4) vA < vB and tA < Tb
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3) vA = vB and tA > tB
What is the angular momentum of an electron in Bohr’s hydrogen atom whose
2)
2h
π
3)
5h
2π
4)
7h
2π
When a man is standing, rain drops appear to him falling at 600 from the horizontal
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5.
h
π
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1)
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a
energy is– 0.544 eV.
from his front side. When he is travelling at 5km per hour on a horizontal road they
appear to him falling at 300, from the horizontal from his front side. The actual
speed of the rain is ( in km per hour):
1) 3
2) 4
3) 5
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4) 6
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6.
The displacement of a particle varies with time as
x = 12 sin ω t − 16 sin 3 ω t
(in cm). If its
motion is S.H.M., then its maximum acceleration is
12 ω 2
36 ω 2
3)
3)
144 ω 2
7. A flat plate moves normally with a speed
4)
192 ω 2
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1)
towards a horizontal jet of water of
v1
uniform area of cross-section. The jet discharges water at the rate of volume V per second
v2 .
The density of water is
ρ.
Assume that water splashes along the surface
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at a speed of
of the plate at right angles to the original motion. The magnitude of the force acting on
the plate due to the jet of water is
1)
ρVv1
ρV
2)
v1 + v 2
⎡
⎤
3) ρ ⎢ V ⎥(v1 + v 2 )2
v12
⎣ v2 ⎦
m 4) ρV (v1 + v 2 )
8. A ladder 'AB' of weight 300N and length 5m is lying on a horizontal surface. Its
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centre of gravity is at a distance of '2m' from end A. A weight of 80N is attached at
end B. The work done in raising the ladder to the vertical position with end 'A' in
2) 1000J
3) 1150J
4) 1900J
.s
a
1) 500J
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contact with the ground is,
9. A disc of radius 'r' is removed from the disc of radius 'R' then
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a) The minimum shift in centre of mass is zero
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b) The maximum shift in centre of mass cannot be greater than
r2
(R + r)
c) Centre of mass must lie where mass exists
d) The shift in centre of mass is
r2
(R + r)
1) Only a and b are correct
2) only a and c are correct
3) Only a, b and d are correct
4) all are correct
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10. Two bodies are projected at angles 300 and 600 to the horizontal from the ground
such that the maximum heights reached by them are equal. Then
a) Their times of flight are equal
b) Their horizontal ranges are equal
d) Both take same time to reach the maximum height.
Mark the answer as
2) If only a, b and c are correct
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1) If a, b, c and d are correct
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c) The ratio of their initial speeds of projection is 3 :1
3) If only a and c are correct
4) If a, c and d are correct
11. The linear momentum p of a body moving in one dimension varies with time
according to the equation
p = a + bt 2 ,
acting on the body is
1) Proportional to
where a and b are positive constants. The net force
2) A constant
t2
3) Proportional to t
4) inversely proportional to t
m1
and
m2
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12. Which one of the following statement does not hold good when two balls of masses
undergo elastic collision
m 1 << m 2
and
(b) When
m 1 >> m 2
and
m2
at rest, there will be maximum transfer of momentum
m2
at rest, after collision the ball of mass
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a
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(a) When
times the velocity of
m1 = m 2
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(c) When
and
m2
m2
moves with four
m1
at rest, there will be maximum transfer of K.E.
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(d) When collision is oblique and
m2
at rest with
m1 = m 2 ,
after collision the balls
move in opposite directions
1) a and b
2)
3) a,c and d
13.
b and d
4)
a,b,c and d
The phenomenon of Brownian movement may be taken as evidence of
1) Kinetic theory of matter
2) Electromagnetic theory of radiation
3) Corpuscular theory of light
4) Photoelectric phenomenon
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14.
A compound microscope has an eye piece of focal length 10cm and an objective of
focal length 4cm. The magnification, if an object is kept at a distance of 5cm from
the objective and final image is formed at the least distance of distinct vision (20
cm), is :
2) 11
3) 12
4) 13
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1) 10
15. A block of mass 'm' is connected to one end of a spring of 'spring constant' k. The
other end of the spring is fixed to a rigid support. The mass is released slowly so that
the total energy of the system is then constituted by only the potential energy, then 'd'
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is the maximum extension of the spring. Instead, if the mass is released suddenly
from the same initial position, the maximum extension of the spring now is :
(g–acceleration due to gravity)
1)
16.
mg
k
2)
mg
3k
3) 2d
4) 4d
The binding energies per nucleon for deuteron (1H2) and helium ( 2 He 4 ) are 1.1
MeV and 7.0 MeV respectively. The energy released when two deuterons fuse to
2) 8.1 MeV
ks
1) 23.6 MeV
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form a helium nucleus ( 2 He 4 ) is
3) 29.2 MeV
4) 25.8 MeV
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a
17. Water is moving with a speed of 5.18 ms–1 through a pipe with a cross-sectional area
of 4.20 cm2. The water gradually descends 9.66 m as the pipe increase in area to 7.60 cm2.
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The speed of flow at the lower level is
3) 5.7 ms–1
3.82 ms–1
2)
2.86 ms–1
4)
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1) 3.0 ms–1
18. A shell of mass 'm' moving horizontally explodes in to two equal pieces at the instant
its momentum is '3p'. One of the fragments attains a linear momentum of '4p' in
upward direction. The kinetic energy gained by the system immediately after
explosion is,
1)
25 p 2
m
2)
16 p 2
m
3)
41 p 2
m
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4)
73 p 2
2m
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19. A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a
string at an initial speed of 10 rpm. Keeping the radius constant, the tension in the string
is reduced to one quarter of its initial value. The new speed is
3) 10 r.p.m.
3) 20 r.p.m.
4) 14 r.p.m.
A capacitor of capacitance C is charged by connecting it to a battery of e.m.f. E
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20.
1) 5 r.p.m.
volts. The capacitor is now disconnected and reconnected to the same battery with
polarity reversed. The heat energy developed in the connecting wire is :
2) 2CE2
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1) CE2
3) ½ CE2
4) zero
21. A uniform disc of mass M and radius R is mounted on an axle supported in
frictionless bearings. A light cord is wrapped around the rim of the disc and a steady
downward pull T is exerted on the cord. The angular acceleration of the disc is
1)
MR
2T
2T
MR
2)
3)
T
MR
4)
MR
T
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22.The ratio of the radius of a planet ‘A’ to that of planet ‘B’ is ‘r’. The ratio of
the two planets is
2)
.s
a
1) xr
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acceleration due to gravity on the planets is ‘x’. The ratio of the escape velocities from
r
x
3)
rx
4)
x
r
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23. Two capillary of length L and 2L and of radius R and 2R are connected in series. The
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net rate of flow of fluid through them will be (given rate of the flow through single
capillary,
1)
X = πPR 4 / 8ηL)
8
X
9
2)
9
X
8
3)
5
X
7
4)
7
X
5
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24.
In a regular polygon of ‘n’ sides, each corner is at a distance ‘r’ from the centre.
Identical charges of magnitude ‘Q’ are placed at (n-1) corners. The field at the
centre is
1) K
2) (n − 1) K
Q
r2
3)
n
Q
K 2
(n − 1) r
4)
(n − 1) Q
K 2
n
r
Internal energy of n1 moles of hydrogen at temperature T is equal to the internal
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25.
Q
r2
energy of n2 moles of helium at temperature 2T. Then the ratio n1/n2 is
2) 2/3
3) 6/5
4) 3/7
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1) 3/5
26.The angle of contact between glass and water is 0o and it rises in a capillary upto 6 cm
when its surface tension is 70 dynes/cm. Another liquid of surface tension 140 dynes/cm,
angle of contact 60o and relative density 2 will rise in the same capillary by
1) 12 cm
27.
2) 24 cm
3) 3 cm
4) 6 cm
One end of a conducting rod is maintained at temperature 500C and the other end
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is in melting ice at 00C. The rate of melting of ice is doubled if
doubled
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1) The temperature is made 2000C and the area of cross-section of the rod is
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2) The temperature is made 1000C and length of the rod is made four times.
3) Area of cross section of the rod is halved and length is doubled
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4) The temperature is made 1000C and area of cross-section of rod and length both are
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doubled
28.
A horizontal platform is executing simple harmonic motion in he vertical direction
with frequency `V’. A block of mass `m’ is placed on the platform. What is the
maximum amplitude of the platform so that the block is not detached from it ?
1)
g
4π 2 v 2
2)
mg
4π 2 v 2
3)
g
2π 2 v 2
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4)
mg
2π 2 v 2
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29.
Compton’s scattering experiment seems to indicate that radiation has
1) Particle-like properties
2) Wave-like properties
4) Neither wave-like nor particle-like properties
30.
In a series LCR ac circuit, not at resonance, the current
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1) Always leads the generator voltage
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3) Both wave and particle like properties
2) Always lags behind the generator voltage
3) Will be in phase with the generator voltage
4) May lead or lag behind the generator voltage
31.
A metal rod of mass 10 g and length 10 cm is placed on a smooth 600incline .A
uniform magnetic field B is applied in the region vertically downwards .If a current
of 3A is passed through the rod, then the value of B for which the rod remains
2)
1
T
3
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1) 3 T
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stationary on the inclined plane is (g = 10 ms-2)
3) 3 T
4)
1
3
T
.s
a
32.Three liquids A, B, C are given 4gms of A at 600C and 1gm of C at 500C, after mixing
shows a temperature of 550C. A mixture of 1gm of A at 600C and 1gm of B at 500C shows
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a temperature of 550C. The resultant temperature of a mixture of 2gm of B at 600C and
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1gm of C at 450C is
1) 500C
33.
2) 200C
3) 250C
4) 150C
A ray is incident at an angle of incidence i on one face of prism of small angle A
and emerges normally from opposite face. If the refractive index of the material of
prism is μ , the angle of incidence i is nearly equal to :
1)
A
μ
2)
A
2μ
3) μ A
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4)
μA
2
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34.
V0 (1 − e − At )
where V0 is a
A
The position X of a particle at time t is given by X =
constant and A >0 . The dimensional formulae of V0 and A are
1) M0LT-1 and T-1
35.
2) M0 LT0 and T-1
3)M0LT-1 and LT-2 4) M0LT-1 and T
12 identical cells are connected in series, some of them are wrongly connected.
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The emf of each cell is E and internal resistance is 0.5Ω. In this case current
through external resistance of 6Ω is 1A. When two more cells are added in series
and emf of each cell are
1) 3, 4.5V
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A. Number of cells connected wrongly
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current through the external resistance is
2) 2, 1.5V
3) 3, 1.5V
4) 2, 4.5V
36. A point source of electromagnetic radiation has an average power output of 800 W.
The maximum value of electric field at a distance 4.0 m from the source is:
1) 64.7 V/m
2) 57.8 V/m
3) 56.72 V/m
37. In figure A B is 300 cm long wire having resistance 10
4) 54.77 V/m
per meter. Rheostat is set
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at 20 . The balance point will be attained at
0.5Ω X G
K 20Ω w
6V B .s
a
A 2V ks
1.5Ω 1) 1.0 m
2) 1.25 m
3)
4) cannot be determined
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1.5 m
38. The sensitivity of a tangent galvanometer will increase when
1) the number of turns in the coil is decreased
2) the number of turns in the coil is increased
3) the radius of the coil is increased
4) it is independent of the radius of the coil
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39. The oscillating electric and magnetic vectors of an electromagnetic wave are
oriented along:
1) the same direction but differ in phase by 900
2) the same direction and are in phase
3) mutually perpendicular directions and are in phase
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d) mutually perpendicular directions and differ in phase by 900
40. A proton, deuteron and an α-particle enter a uniform magnetic field at right angles
to the field .If they are accelerated through same potential difference before entering
motion is
1) 1 : 1 : 8
1
4
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the magnetic field , ratio between their angular momentum during their circular
2) 2 : 1 : 4
4
3
3
4
3) 4 : 1 : 2
3
5
3
6
2
4) 1 : 2 : 4
7
3
8
2
9
1
10 4
12 2
13 1
14 3
15 3
16 1
17 4
18 4
19 1
20 2
21 2
22 3
23 1
24 1
25 3
26 3
27 4
28 1
29 1
30 4
31 4
32 1
33 3
34 3
35 2
36 4
37 2
38 2
39 3
40 4
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a
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11 3
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