Solved Aiims Previous Paper

24 Pages·2017·0.32 MB·English

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SOLVED AIIMS 2016 PAPER
(Memory Based)
t
e
PHYSICS n
.
MULTIPLE CHOICE TYPE QUESTIONS
a
1. Acar is moving along a straight horizontal road with a speed ν0. If the choefficient of friction between
the tyres and the road is µ, the shortest distance in which the car cabn be stopped is
( )
ν2 ν ν 2 i ν
0 0 0 0
a) ⎯ b) ⎯ c) ⎯t d) ⎯
2µg µg µg µ
a
2. Steel and copper wires of same length are stretched by the same weight one after the other. Young's
r
modulus of steel and copper are 2 ×1011N/m2and 1.2 ×1011N/m2. The ratio of increase in length is
p
2 3 u 5 5
a) ⎯ b) ⎯ c) ⎯ d) ⎯
5 5 d 4 2
a
1 2
3. The radius of a soap bubnble is increased from ⎯ cm to ⎯ cm. If the surface tension of water is
⎯ ⎯
e √π √π
30 dynes per cme, then the work done will be
.
w t
a) 180 ergs b) 360 ergs c) 720 ergs d) 960 ergs
w e
4. The fraction of a floating object of volume V and density d above the surface of a liquid of density
w 0 0 n
d will be .
a
d dd d - d dd
0 0 0 0
a) ⎯ b) ⎯ c) ⎯ h d) ⎯
d d + d d d - d
0 0
b
5. Asystem is provided with 20 cal of heat and the work done byi the system on the surrounding is 40 J.
Then its internal energy t
a
a) increases by 600 J b) decreases by 800 J
r
c) increases by 800 J p d) decreases by 50 J
u
6. The coefficients of thermal conductivity of copper, mercury and glass are respectively K , K and K
c m g
d
such that K > K > K . If the same quantity of heat is to flow per second per unit area of each and
c m g a
corresponding temperature gradients are X , X and X , then
n c m g
a) X = X = X e b) X < X > X
c m g c m g
e
c) Xc < Xm.< Xg d) Xm < Xc < Xg
w
7. The amplitude of a particle executing SHM is 4 cm. At the mean position, the speed of the particle is
w
16 cm/sec. The distance of the particle from the mean position at which the speed of the particle
w
⎯
becomes 8√ 3 cm/s will be
⎯ ⎯
a) 2√ 3 cm b) √3 cm c) 1 cm d) 2 cm
8. The velocity of sound waves in air is 330 m/sec. For a particular sound in air, a path difference of
40 cm is equivalent to a phase difference of 1.6 π. The frequency of this wave is
a) 165 Hz b) 150 Hz c) 660 Hz d) 330 Hz
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9. Between the plates of a parallel plate condenser, a plate of thickness t and dielectric constant k is
1 1
placed. In the rest of the space, there is another plate of thickness t and dielectric constant k . The
2 2
potential difference across the condenser will be t
( ) ( ) ( )
Q t t ε Q t t Q k k ε Q e
1 2 0 1 2 1 2 0
a) ⎯Aε ⎯k + ⎯k b) ⎯A ⎯k + ⎯k c) A⎯ε ⎯t + ⎯t d) ⎯A n(k1t1 + k2t2 )
0 1 2 1 2 0 1 2
.
10. Two charges each equal to ηq (η-1 < √⎯3)are placed at the corners of an equailateral triangle of side a.
The electric field at the third corner is E where (E = q/4πε a2) h
3 0 0
b
a) E = E b) E < E c) E > E d) E ≥ E
3 0 3 0 3 0 3 0
i
11. Five very long, straight wires are bound together to form a small cable. Currents carried by the wires
t
are I = 20A, I = -6A, I = 12A, I = -7A, I = 18A. The magnetic induction at a distance of 10 cm
1 2 3 4 5 a
from the cable is
r
a) 34 µT b) 74 mT p c) 34 mT d) 74 µT
u
12. How much work must be done to pull apart the electron and the proton that make up the Hydrogen
d
atom, if the atom is initially in the state with n = 2?
a
a) 13.6 × 1.6 × 10-19J b) 3.4 × 1.6 × 10-19J
n
c) 1.51 × 1.6 × 10-1e9J d) 0J
e
13. A conducting road PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform
.
magneticw field B = 4.0 T directed into the paper. Acapacitor of capacity C = 10 mF is connectted as
showwn in the figure below. Then e
w P n
× × × ×
.
a
× × × × ×h
A b
v
B i
× × × ×t ×
a
× × × r × ×
p
Q
a) qA = +80 µC and qB = -80 µC u
b) q = -80 µC and q = +80 µdC
A B
a
c) q = 0 = q
A B
n
d) Charge stored in the capacitor increases exponentially with time
e
14. In the circuit sheown below, the cell is ideal. The
.
coil has wan inductance of 4 H and zero resistance. F
+
F isw a fuse of zero resistance and will blow
E = 2 V
w
when the current through it reaches 5A.
-
The switch is closed at t = 0. The fuse will blow
S
a) almost at once b) after 2 sec c) after 5 sec d) after 10 sec
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15. Highly energetic electrons are bombarded on a target of an element containing 30 neutrons. The ratio
of radii of nucleus to that of Helium nucleus is 4 1/3. The atomic number of nucleus will be
a) 25 b) 26 c) 56 d) 30 t
e
16. In C.G.S. system, the magnitude of the force is 100 dynes. In another system where the fundamental
n
physical quantities are kilogram, metre and minute, the magnitude of the force is
.
a) 0.036 b) 0.36 c) 3.6 d) 36
a
17. Two similar bar magnets Pand Q, each of magnetic moment M, are takenh. If Pis cut along its axial line
and Q is cut along its equatorial line, all the four pieces obtained habve
i
M
a) equal pole strength b) magtnetic moment ⎯
4
a
M
r
c) magnetic moment ⎯ d) magnetic moment M
2
p
18. The combination of 'NAND' gates showun below are equivalent to
d
a
A
n
e
C
e
.
B
w t
w e
w n
A
.
C
B a
h
a) an OR gate and an AND gate, respectively b) an AND gateb and a NOTgate, respectively
i
c) an AND gate and an OR gate, respectively d) an OR gate and a NOTgate, respectively
t
19. Energy levels A, B, C of a certain atom corresponding to increasing values of energy i.e. E < E < E .
a A B C
If λ , λ , λ are the wavelengths of radiations corresponding to the transitions C to B, B to Aand C to
1 2 3 r
A, respectively, which of the following statements is correct?
p
u C
d
λ
1 a
n B
e
e
λ λ
. 2 3
w
w
A
w
λ λ
1 2 2 2 2
a) λ = λ + λ b) λ = ⎯ c) λ + λ + λ = 0 d) λ + λ + λ
3 1 2 3 1 2 3 3 1 2
λ + λ
1 2
20. A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. As the
motorcycle is ascending on the overbridge, the normal force on it
a) increases b) decreases c) remains the same d) fluctuates
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21. Aparticle moves in a circular path with decreasing speed. Choose the correct statement.
a) Angular momentum remains constant.
t
→ e
b) Acceleration ( a ) is towards the centre.
n
c) Particle moves in a spiral path with decreasing radius. .
a
d) The direction of angular momentum remains constant. h
b
22. Asolid disc rolls clockwise without slipping over a horizontal path with a constant speed ν. Then the
i
magnitude of the velocities of points A, B and C (see figutre) with respect to a standing observer are,
a
respectively,
r
A
p
u
d
a
a) v, v and v
v
n
B
e b) 2v, √⎯2v and zero
e
.
w c) 2v, 2v and zero t
w e
w C d) 2v, √⎯2v and √⎯2v n
.
23. Aball is projected with velocity V at an angle of elevation 30°. Mark the correct statement.
0 a
a) Kinetic energy will be zero at the highest point of the trajectory. h
b
b) Vertical component of momentum will be conserved.
i
c) Horizontal component of momentum will be conservedt.
a
d) Gravitational potential energy will be minimum at the highest point of the trajectory
r
24. Ablock of mass m = 5 kg is resting on a roupgh horizontal surface for which the coefficient of friction
is 0.2. When a force F = 40 N is applieud, the acceleration of the block will be (g = 10 m/s2)
d
F
a
n
30°
e
e
.
M
w
w
w
a) 5.73 m/sec2 b) 8.0 m/sec2 c) 3.17 m/sec2 d) 10.0 m/sec2
25. The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E.
required to be given so that the satellite moves in a circular orbit just above earth's atmosphere is
1
a) 1 b) 2 c) ⎯ d) ∞
2
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26. Consider the circuit shown in the figure below. Find the charge on capacitor C between A and D in
steady state.
A t
R D
C e
n
R R
.
a
R h
B
b
i
C
ε t
a
r
a) Cε b) Cε/2 c) Cε/3 d) zero
p
27. The bob of a simple pendulum is displaced from its equilibrium position O to a position Q which is at
u
height h above O and the bob is then released. Assuming the mass of the bob to be m and time period
d
of oscillations to be 2.0 sec, the tension in the string when the bob passes through O is
a
n
e
e
.
w
w
Q
w
}
h
t
e
O
n
( ) ( )
⎯ . ⎯
a) m(g + π √⎯2gh) b) m(g + √⎯π2gh) c) m g + √⎯π2 g h ad) m g + √⎯π2 gh
2 3
h
28. A person carrying a whistle emitting continuously a note of 272 Hbz is running towards a reflecting
surface with a speed of 18 km/hour. The speed of sound in air iis 345 ms-1. The number of beats heard
by him is t
a
a) 4 b) 6 c) 8 d) 3
r
29. The equivalent resistance across the terminals of source of e.m.f. 24 V for the circuit shown in the
p
figure is
u
1d0Ω 6Ω
a
n 15Ω
e
e 8Ω 8Ω
.
E = 24 V
w
w
w 4Ω
a) 15 Ω b) 10 Ω c) 5 Ω d) 4 Ω
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30. If a resistance R is connected in parallel with the resistance R in the circuit shown, then the possible
2
value of current through R and the possible value of R will be
2
t
R e
2
n
.
a
R h
b
I i
t
a
r A
+ -
p
I I I
a) ⎯ , R b) I, 2R u c) ⎯, 2R d) ⎯, R
3 3 2
d
31. The capacity of a parallel plaate condenser is 10 µF without dielectric. Dielectric of constant 2 is used
to fill half the distance bentween the plates. The new capacitance in µF is
e
a) 10 b) 20 c) 15 d) 13.33
e
A B
32. Four charge.s are arranged at the corners of a square
ABCD, was shown in the figure. The force on the charge +q +2q t
w e
kept at the centre O is
w n
a) zero .
a
b) along the diagonal AC
h
c) along the diagonal BD -2q +q
b
d) perpendicular to side AB Di C
t
33. Avertical wire kept in Z-X plane carries a current from Q to P Z Y
P
a
(see figure). The magnetic field due to current wrill have the
direction at the origin O along p
u
d
' O i
a) OX b) OaX X1 X
n Q
c) OY e d) OY'
Y1
e
. Z1
w
34. In the given figure, the electron enters in the magnetic field. It deflects in ........... direction.
w
w Y
× × ×
× × ×
e
× × ×
× × ×
X
a) +ve X direction b) -ve X direction c) +ve Ydirection d) -ve Ydirection
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35. Two similar plano-convex lenses are combined together in three different ways as shown in the figure.
The ratio of the focal lengths in three cases will be
t
e
n
.
a
h
a) 2 : 2 : 1 b) 1 : 1 : 1 c) 1 : 2 : 2 d) 2 : 1 : 1
b
36. Apoint object O is placed in front of a glass i
O
t
rod having spherical end of radius of Air Glass
a
curvature 30 cm. The image would be
r 30 cm
15 cm
formed at p
u
a) 30 cm left b) Infinity c) 1 cm to the right d) 18 cm to the left
d
37. In Young's double slit experiment, the slits are 0.5 mm apart and interference pattern is observed on a
a
screen placed at a distance of 1.0 m from the plane containing the slits. If wavelength of the incident
n
light is 6000 A°, then the separation between the third bright fringe and the central maxima is
e
a) 4.0 mm e b) 3.5 mm c) 3.0 mm d) 2.5 mm
.
38. The potential energy of a particle varies with U(x)
w t
B
distwance x as shown in the graph. e
w n
The force acting on the particle is zero at
D
.
a) C b) B AA a
C
h
c) B and C d) Aand D x
b
39. Asteel ball of radius 2 cm is at rest on a frictionless surface. Ainother ball of radius 4 cm moving at a
velocity of 81 cm/sec collides elastically with first ball. Atfter collision the smaller ball moves with a
speed of a
r
a) 81 cm/sec b) 63 cm/sec c) 144 cm/sec d) None of the these
p
40. Two isolated objects Aand B are charged either by friction, conduction or induction. Initially object A
u
is charged and B is uncharged. If q and q are the magnitude of final charge on A and B,
d A B
respectively, then match column I and column II.
a
n
Column I Column II
e
(i) q = q (p) charges transfer by conduction
A B e
.
(ii) qA ≥w qB (q) charging by friction
w
q
w A
(iii) q = ⎯ (r) charging by induction
B 2
Now match the given columns and select the correct option from the codes given below.
Codes: (i) (ii) (iii) (i) (ii) (iii)
(a) (p) (r) (q) (b) (q) (p) (r)
(c) (r) (q) (p) d) (r) (q) (p)
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ASSERTION AND REASON TYPE QUESTIONS
Directions: In the following questions, a statement of Assertion is followed by a statement of Reason. Mark
t
the correct choice as
e
a) If both Assertion and Reason are True and Reason is the correct explanation of assenrtion
b) If both Assertion and Reason are true but Reason is not the correct explanation. of assertion
a
c) If Assertion is true but Reason is false.
h
d) If both Assertion is true but Reason are false
b
41. Assertion: For projection angle tan-1(4), the horizontal range iand the maximum height of a projectile
are equal. t
a
Reason: The maximum range of projectile is directly proportional to square of the velocity and
r
inversely proportional to acceleration due to gravity.
p
42. Assertion: The trajectory of an object moving under the same acceleration due to gravity can be
u
straight line or a parabola depending on the initial conditions.
d
Reason: The shape of the trajaectory of the motion of an object is determined by the acceleration alone.
n
43. Assertion:There is no appreciable change in the position of the body during the action of the
e
impulsive force.
e
Reason: In .case of impulsive force the time of action of the force is very short.
w t
44. Assertion:Work done by the force of friction in moving a body around a closed loop is zero.
w e
wReason: work done does not depend upon the nature of force. n
45. Assertion:In an elastic collision of two bodies, the momentum and energy of each. body is conserved.
a
Reason: If two bodies stick to each other after colliding, the collision is said to be perfectly inelastic.
h
46. Assertion: The centre of gravity of a body coincides with its centre of mass only if the gravitational
b
field does not vary from one part of the body to the other.
i
Reason: Centre of gravity is independent of the gravitatiotnal field.
a
47. Assertion: The velocity of a body at the bottom of an inclined place of given height, is more when it
r
slides down the plane, compared to, when it is rolling down the same plane.
p
Reason: In rolling down, a body acquires both, kinetic energy of translation and rotation.
u
48. Assertion: The speed of revolutiond of an artificial satellite revolving very near to the earth is 8 kms-1.
a
Reason: The orbital velocity of a satellite became independent of height of near satellite.
n
49. Assertion: Bernoulli's equation holds for non-steady or turbulent flows.
e
Reason: In thesee situations, velocity and pressure are constant with time.
.
50. Assertion: Bulk modulus of elasticity B represents incompressibility of the material.
w
w ∆P
Reason: B = ⎯ , where symbols have their usual meaning.
w
∆V/V
51. Assertion: A large soap bubbles expands while a small bubble shrinks, when they are connected to
each other by a capillary tube.
Reason: The excess pressure inside bubble (or drop) is inversely proportional to the radius.
52. Assertion: Simple harmonic motion is not a uniform motion.
Reason: It is the projection of the uniform circular motion.
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53. Assertion: It is not possible to have interference between the waves produced by two violins.
Reason: For interference of two waves the phase difference between the waves must remain constant.
t
54. Assertion: Apoint charge q is placed at the centre of spherical cavity inside a spherical conductor as
e
shown. Another point charge Q is placed outside the conductor as shown. Now as the point
n
charge Q is pushed away from conductor, the potential difference (V -V ) between two
A B
.
points Aand B within the cavity of sphere remains constant.
a
h
b
.
. B . Q i
A .
q t
a
r
p
Reason:The electric field due to charges on the outer surface of conductor and outside the conductor
u
is zero at all points inside the conductor.
d
55. Assertion: Bending a wire does not effect electrical resistance
a
Reason: The resistance onf wire is proportional to the resistivity of material.
e
56. Assertion: A paramagnetic sample displays greater magnetisation (for the same magnetising field)
e
when cooled.
.
Reason:w The magnetisation does not depend on temperature. t
w e
57. Assertion:The alternating current lags behind the e.m.f. by a phase angle of π/2, when ac flows
w n
through an inductor.
.
Reason: The inductive reactance increases as the frequency of ac source decareases.
h
58. Assertion: Dispersion of light occurs because velocity of light in a material depends upon its colour.
b
Reason:The dispersive power depends only upon the material of the prism, not upon the refracting
i
angle of the prism.
t
59. Assertion (A): In Young's double slit experiment, intearference pattern disappears when one of the slits
is closed. r
p
Reason: Interference occurs due to superimposition of light waves from two coherent sources.
u
60. Assertion (A):Hydrogen atom codnsists of only one electron but its emission spectrum has many lines.
a
Reason: Only Lyman series is found in the absorption spectrum of hydrogen atom whereas in emission
n
spectrum, all the series are found.
e
e CHEMISTRY
.
w
MULTIPLE CHOICE TYPE QUESTIONS
w
1. wIn the Arrhenius equation for a certain reaction, the value of Aand Ea(activation energy) are 4 ×1013
sec-1 and 98.6 kJ mol-1, respectively. If the reaction is of first order, the temperature at which its
half-life period is 10 minutes is
a) 280 K b) 290 K c) 311.35 K d) 418.26 K
2. The edge length of a cube is 400 pm. Its body diagonal would be
a) 600 pm b) 566 pm c) 693 pm d) 500 pm
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3. Conductivity (unit Siemen's) is directly proportional to area of the vessel and the concentration of the
solution in it and is inversely proportional to the length of the vessel. The unit of the constant of
proportionality is t
e
a) S m mol-1 b) S m2 mol-1
n
c) S-2 m2 mol d) S2 m2 mol-2 .
4. In closest packing of A type of atoms (radius, r ), the radius of atom Ba that can be fitted into
A
h
octahedral void is
b
a) 0.155 r b) 0.125 r c) 0.414 r d) 0.732 r
A A Ai A
5. A first order reaction is 50% complete in 30 minutes at t27°C and in 10 minutes at 47°C. The rate
a
constant at 47°C and energy of activation of the reaction in kJ/mole will be
r
a) 0.0693; 43.848 kJ mol-1 b) 0.0560; 45.621 kJ mol-1
p
c) 0.0625; 42.926 kJ mol-1 u d) 0.0660; 46.189 kJ mol-1
d
6. During the process of electrolytic refining of copper, some metals present as impurity settle as 'anode
a
mud'. These are
n
a) Sn and Ag e b) Pb and Zn c) Ag and Au d) Fe and Ni
e
7. Gold is extracted by hydrometallurgical process based on its property.
.
a) of beiwng electropositive t
w e
b) of being less reactive
w n
c) to form complexes which are water soluble
.
d) to form salts which are water soluble a
h
8. On controlled hydrolysis and condensation, R , SiCl yields
3
b
a) R Si⎯O⎯SiR b) ⎯( R Si⎯O⎯SiR ⎯)
3 3 3 i 3 n
t
R R
a ⏐ ⏐
r ⎯Si⎯O⎯Si⎯
⏐ ⏐
p
c) R SiOH d) O O
3 u ⏐ ⏐
d ⎯Si⎯O⎯Si⎯
a ⏐ ⏐
9. AgCl dissolves in a solutnion of NH but not in water because
3
e
a) NH is a better solvent than H O
3 2
e
b) Ag+ form.s a complex ion with NH
3
w
c) NH is a stronger base than H O
w 3 2
wd) The dipole moment of water is higher than NH
3
10. Van Arkel method of purification of metals involves converting the metals to a
a) volatile stable compound b) volatile unstable compound
c) non-volatile stable compound d) none of the above
11. Verdigris is
a) basic copper acetate b) basic lead acetate c) basic lead d) None of these
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