VITEEE Past Year Paper With Solutions - 2019 | VITEEE: Subject Wise and Full Length MOCK Tests - JEE PDF Download

 Page 1


PART - I (PHYSICS)
1. The electric resistance of a certain wire of iron
is R. If its length and radius are both doubled,
then
(a) the resistance and the specific resistance,
will both remain unchanged
(b) the resistance will be doubled and the
specific resistance will be halved
(c) the resistance will be halved and the
specific resistance will remain unchanged
(d) the resistance will be halved and the
specific resistance will be doubled
2. Two thin lenses are in contact and the focal
length of the combination is 80 cm. If the focal
length of one lens is 20 cm, then the power of
the other lens will be
(a) 1.66 D(b) 4.00 D (c) – 100 D (d) – 3.75 D
3. If the kinetic energy of a free electron doubles,
it’s de-Broglie wavelength changes by the factor
(a)2 (b)
1
2
(c)
2
(d)
1
2
4. Radioactive element decays to form a stable
nuclide, then the rate of decay of reactant is
shown by
(a)
 t
 N
(b)
 N
 t
(c)
 N    
 t
(d)
 t
 N    
5. The ratio of the energies of the hydrogen atom
in its first to second excited states is
(a) 1/4 (b) 4/9 (c) 9/4 (d) 4
6. Which of the following gates will have an output
of 1?
1
0
0 0
1 1
0 1
(A) (B)
(C)
(D)
(a)D (b) A (c)B (d) C
SOLVED PAPER
VITEEE
2019
(memory based)
GENERAL INSTRUCTIONS
• This question paper contains total 125 questions divided into four parts :
Part I : Physics Q. No - 1 to 40
Part II : Chemistry Q. No - 41 to 80
Part III : Mathematics Q. No - 81 to 120
Part IV : English Q. No - 121 to 125
• All questions are multiple choice questions with four options, only one of them is correct.
• For each correct response, the candidate will get 1 mark.
• There is no negative marking for the wrong answer.
• The test is of 2½ hours duration.
Page 2


PART - I (PHYSICS)
1. The electric resistance of a certain wire of iron
is R. If its length and radius are both doubled,
then
(a) the resistance and the specific resistance,
will both remain unchanged
(b) the resistance will be doubled and the
specific resistance will be halved
(c) the resistance will be halved and the
specific resistance will remain unchanged
(d) the resistance will be halved and the
specific resistance will be doubled
2. Two thin lenses are in contact and the focal
length of the combination is 80 cm. If the focal
length of one lens is 20 cm, then the power of
the other lens will be
(a) 1.66 D(b) 4.00 D (c) – 100 D (d) – 3.75 D
3. If the kinetic energy of a free electron doubles,
it’s de-Broglie wavelength changes by the factor
(a)2 (b)
1
2
(c)
2
(d)
1
2
4. Radioactive element decays to form a stable
nuclide, then the rate of decay of reactant is
shown by
(a)
 t
 N
(b)
 N
 t
(c)
 N    
 t
(d)
 t
 N    
5. The ratio of the energies of the hydrogen atom
in its first to second excited states is
(a) 1/4 (b) 4/9 (c) 9/4 (d) 4
6. Which of the following gates will have an output
of 1?
1
0
0 0
1 1
0 1
(A) (B)
(C)
(D)
(a)D (b) A (c)B (d) C
SOLVED PAPER
VITEEE
2019
(memory based)
GENERAL INSTRUCTIONS
• This question paper contains total 125 questions divided into four parts :
Part I : Physics Q. No - 1 to 40
Part II : Chemistry Q. No - 41 to 80
Part III : Mathematics Q. No - 81 to 120
Part IV : English Q. No - 121 to 125
• All questions are multiple choice questions with four options, only one of them is correct.
• For each correct response, the candidate will get 1 mark.
• There is no negative marking for the wrong answer.
• The test is of 2½ hours duration.
7. A po int charge q i s rotated along a circ le in the elec tric
field generated b y another point charge Q. The work
done by the electric field on the rotating charge in
one complete revolution is
(a) zero
(b) positive
(c) negative
(d) zero if the charge Q is at the centre and
nonzero otherwise.
8. The equivalent capacitance of the combination
of the capacitors is
(a) µF 20 . 3
V
10µF 6µF
4µF
(b) µF 80 . 7
(c) µF 90 . 3
(d) 2.16µF
9. The half-life period and the mean life period of a
radioactive element are denoted respectively by
T
h
 and T
m
. Then
(a)T
h
 = T
m
(b) T
h
 > T 
m
(c)T
h
 < T
m
(d)
m h
T T ³
10. In a common base mode of a transistor, the
collector current is 5.488 mA for an emitter current
of 5.60 mA. The value of the base current
amplification factor (b) will be
(a) 49 (b) 5 0 (c) 51 (d) 4 8
11. The magnetic field at a distance r from a long
wire carrying current i is 0.4 tesla. The magnetic
field at a distance 2r is
(a) 0.2 tesla (b) 0.8 tesla
(c) 0.1 tesla (d) 1.6 tesla
12. The velocity-time graph of a body moving in a
straight line is shown in fig. Find the
displacement and distance travelled by the body
in 10 seconds.
20
10
0
–10
–20
A
4 2 6 8 10
C
D
t (s)
u (m/s)
(a) 5 0m , 90 m (b) 5m, 9m
(c) 9m, 5m (d) 90m, 50m
13. An electric dipole is kept in a uniform electric
field. It experiences
(a) a force and a torque
(b) a force, but no torque
(c) a torque but no net force
(d) neither a force nor a torque
14. A person swims in a river aiming to reach exactly
on the opposite point on the bank of a river. His
speed of swimming is 0.5 m/s at an angle of 120º
with the direction of flow of water. The speed of
water is
(a) 1.0 m/s (b) 0.5 m/s
(c) 0.25 m/s (d) 0.43 m/s
15. A rain drop of radius 0.3 mm has a terminal
velocity in air is 1 m/s. The viscosity of air is 8 ×
10
–5
 poise. The viscous force on it is
(a) 45.2 × 10
–4
 dyne (b) 101.73×10
–5
 dyne
(c) 16.95 × 10
–4
 dyne(d) 16.95 × 10
–5
 dyne
16. Consider a pair of insulating blocks with thermal
resistances R
1
 and R
2
 as shown in the figure.
The temperature q at the boundary between the
two blocks is
q
2
R
2
R
1
q
1
(a)(q
1
q
2
ÖR
1
R
2
) / (q
1
 + q
2
) (R
1
 + R
2
)
(b) (q
1
R
1
 + q
2
R
2
) / (R
1
 + R
2
)
(c) [(q
1
 + q
2
) R
1
R
2
] / (R
1
2
 + R
2
2
)
(d) (q
1
 R
2
+ q
2
R
1
) / (R
1
 + R
2
)
17. A mass of 0.5 kg moving with a speed of 1.5 m/
s on a horizontal smooth surface, collides with
a nearly weightless spring of force constant k =
50 N/m. The  maximum compression of the spring
would be
(a) 0.5 m (b) 0.15 m
(c) 0.12 m (d) 1.5 m
Page 3


PART - I (PHYSICS)
1. The electric resistance of a certain wire of iron
is R. If its length and radius are both doubled,
then
(a) the resistance and the specific resistance,
will both remain unchanged
(b) the resistance will be doubled and the
specific resistance will be halved
(c) the resistance will be halved and the
specific resistance will remain unchanged
(d) the resistance will be halved and the
specific resistance will be doubled
2. Two thin lenses are in contact and the focal
length of the combination is 80 cm. If the focal
length of one lens is 20 cm, then the power of
the other lens will be
(a) 1.66 D(b) 4.00 D (c) – 100 D (d) – 3.75 D
3. If the kinetic energy of a free electron doubles,
it’s de-Broglie wavelength changes by the factor
(a)2 (b)
1
2
(c)
2
(d)
1
2
4. Radioactive element decays to form a stable
nuclide, then the rate of decay of reactant is
shown by
(a)
 t
 N
(b)
 N
 t
(c)
 N    
 t
(d)
 t
 N    
5. The ratio of the energies of the hydrogen atom
in its first to second excited states is
(a) 1/4 (b) 4/9 (c) 9/4 (d) 4
6. Which of the following gates will have an output
of 1?
1
0
0 0
1 1
0 1
(A) (B)
(C)
(D)
(a)D (b) A (c)B (d) C
SOLVED PAPER
VITEEE
2019
(memory based)
GENERAL INSTRUCTIONS
• This question paper contains total 125 questions divided into four parts :
Part I : Physics Q. No - 1 to 40
Part II : Chemistry Q. No - 41 to 80
Part III : Mathematics Q. No - 81 to 120
Part IV : English Q. No - 121 to 125
• All questions are multiple choice questions with four options, only one of them is correct.
• For each correct response, the candidate will get 1 mark.
• There is no negative marking for the wrong answer.
• The test is of 2½ hours duration.
7. A po int charge q i s rotated along a circ le in the elec tric
field generated b y another point charge Q. The work
done by the electric field on the rotating charge in
one complete revolution is
(a) zero
(b) positive
(c) negative
(d) zero if the charge Q is at the centre and
nonzero otherwise.
8. The equivalent capacitance of the combination
of the capacitors is
(a) µF 20 . 3
V
10µF 6µF
4µF
(b) µF 80 . 7
(c) µF 90 . 3
(d) 2.16µF
9. The half-life period and the mean life period of a
radioactive element are denoted respectively by
T
h
 and T
m
. Then
(a)T
h
 = T
m
(b) T
h
 > T 
m
(c)T
h
 < T
m
(d)
m h
T T ³
10. In a common base mode of a transistor, the
collector current is 5.488 mA for an emitter current
of 5.60 mA. The value of the base current
amplification factor (b) will be
(a) 49 (b) 5 0 (c) 51 (d) 4 8
11. The magnetic field at a distance r from a long
wire carrying current i is 0.4 tesla. The magnetic
field at a distance 2r is
(a) 0.2 tesla (b) 0.8 tesla
(c) 0.1 tesla (d) 1.6 tesla
12. The velocity-time graph of a body moving in a
straight line is shown in fig. Find the
displacement and distance travelled by the body
in 10 seconds.
20
10
0
–10
–20
A
4 2 6 8 10
C
D
t (s)
u (m/s)
(a) 5 0m , 90 m (b) 5m, 9m
(c) 9m, 5m (d) 90m, 50m
13. An electric dipole is kept in a uniform electric
field. It experiences
(a) a force and a torque
(b) a force, but no torque
(c) a torque but no net force
(d) neither a force nor a torque
14. A person swims in a river aiming to reach exactly
on the opposite point on the bank of a river. His
speed of swimming is 0.5 m/s at an angle of 120º
with the direction of flow of water. The speed of
water is
(a) 1.0 m/s (b) 0.5 m/s
(c) 0.25 m/s (d) 0.43 m/s
15. A rain drop of radius 0.3 mm has a terminal
velocity in air is 1 m/s. The viscosity of air is 8 ×
10
–5
 poise. The viscous force on it is
(a) 45.2 × 10
–4
 dyne (b) 101.73×10
–5
 dyne
(c) 16.95 × 10
–4
 dyne(d) 16.95 × 10
–5
 dyne
16. Consider a pair of insulating blocks with thermal
resistances R
1
 and R
2
 as shown in the figure.
The temperature q at the boundary between the
two blocks is
q
2
R
2
R
1
q
1
(a)(q
1
q
2
ÖR
1
R
2
) / (q
1
 + q
2
) (R
1
 + R
2
)
(b) (q
1
R
1
 + q
2
R
2
) / (R
1
 + R
2
)
(c) [(q
1
 + q
2
) R
1
R
2
] / (R
1
2
 + R
2
2
)
(d) (q
1
 R
2
+ q
2
R
1
) / (R
1
 + R
2
)
17. A mass of 0.5 kg moving with a speed of 1.5 m/
s on a horizontal smooth surface, collides with
a nearly weightless spring of force constant k =
50 N/m. The  maximum compression of the spring
would be
(a) 0.5 m (b) 0.15 m
(c) 0.12 m (d) 1.5 m
18. A solid sphere is rotating in free space. If the
radius of the sphere is increased keeping mass
same which one of the following will not be
affected ?
(a) Angular velocity
(b) Angular momentum
(c) Moment of inertia
(d) Rotational kinetic energy
19. The Young’s modulus of a perfectly rigid body
is
(a) unity
(b) zero
(c) infinity
(d) some finite non-zero constant
20. The figure below shows currents in a part of
electric circuit. The current i is
(a) 1.7 amp
(b) 3.7 amp
i
2 amp
2 amp
1 amp
1.3 amp
(c) 1.3 amp
(d) 1 amp
21. In an electromagnetic wave
(a) power is transmitted along the magnetic
field
(b) power is transmitted along the electric field
(c) power is equally transferred along the
electric and magnetic fields
(d) power is transmitted in a direction per-
pendicular to both the fields
22. A particle covers half of the circle of radius r.
Then the displacement  and distance of the
particle are respectively
(a)2p r , 0 (b) 2r, pr
(c) r 2 ,
2
r p
(d) p r , r
23. A metal ring is held horizontally and bar magnet
is dropped through the ring with its length along
the axis of the ring. The acceleration of the falling
magnet
(a) is equal to g
(b) is less than g
(c) is more than g
(d) depends on the diameter of ring and length
of magnet
24. A particle having a mass 0.5 kg is projected under
gravity with a speed of 98 m/sec at an angle of
60º. The magnitude of the change in momentum
(in N-sec) of the particle after 10 seconds is
[g = 9.8 m/sec
2
]
(a) 0.5 (b) 49
(c) 98 (d) 490
25. For a series RLC circuit R = X
L
 = 2X
C
. The
impedance of the circuit and phase difference
between V and I respectively will be
(a) 
1
5R
,tan (2)
2
-
(b)
1
5R
, tan (1/ 2)
2
-
(c) 
1
C
5X , tan (2)
-
(d)
1
5R, tan (1/ 2)
-
26. A man holding a rifle (mass of person and rifle
together is 100kg) stands on a smooth surface
and fires 10 shots horizontally in 5 sec. Each
bullet has a mass 10 g with a muzzle velocity of
800 ms
–1
. The velocity which the rifle man attains
after  firing 10 shots will be
(a) 8 
1
ms
-
(b) 0.8 
1
ms
-
(c) 0.08
1
ms
-
(d) – 0.8 
1
ms
-
27. Escape velocity when a body of mass m is thrown
vertically from the surface of the earth is v , what
will be the escape velocity of another body of
mass 4 m is thrown vertically
(a)v (b) 2v
(c) 4v (d) None of these
28. A solid cylinder of mass m and radius R rolls
down inclined plane without slipping. The speed
of its C.M. when it reaches the bottom is
(a)
gh 2
h
(b) 4gh/3
(c)
gh 4 / 3
(d)
gh 4
29. A block of mass 5 kg resting on a horizontal
surface is connected by a cord, passing over a
light frictionless pulley to a hanging block of
mass 5 kg. The coefficient of kinetic friction
between the block and the surface is 0.5. Tension
in the cord is : (g = 9.8 m/sec
2
)
5 kg
5 kg
A
B
(a) 49 N (b) Zero
(c) 36.75 N (d) 2.45 N
Page 4


PART - I (PHYSICS)
1. The electric resistance of a certain wire of iron
is R. If its length and radius are both doubled,
then
(a) the resistance and the specific resistance,
will both remain unchanged
(b) the resistance will be doubled and the
specific resistance will be halved
(c) the resistance will be halved and the
specific resistance will remain unchanged
(d) the resistance will be halved and the
specific resistance will be doubled
2. Two thin lenses are in contact and the focal
length of the combination is 80 cm. If the focal
length of one lens is 20 cm, then the power of
the other lens will be
(a) 1.66 D(b) 4.00 D (c) – 100 D (d) – 3.75 D
3. If the kinetic energy of a free electron doubles,
it’s de-Broglie wavelength changes by the factor
(a)2 (b)
1
2
(c)
2
(d)
1
2
4. Radioactive element decays to form a stable
nuclide, then the rate of decay of reactant is
shown by
(a)
 t
 N
(b)
 N
 t
(c)
 N    
 t
(d)
 t
 N    
5. The ratio of the energies of the hydrogen atom
in its first to second excited states is
(a) 1/4 (b) 4/9 (c) 9/4 (d) 4
6. Which of the following gates will have an output
of 1?
1
0
0 0
1 1
0 1
(A) (B)
(C)
(D)
(a)D (b) A (c)B (d) C
SOLVED PAPER
VITEEE
2019
(memory based)
GENERAL INSTRUCTIONS
• This question paper contains total 125 questions divided into four parts :
Part I : Physics Q. No - 1 to 40
Part II : Chemistry Q. No - 41 to 80
Part III : Mathematics Q. No - 81 to 120
Part IV : English Q. No - 121 to 125
• All questions are multiple choice questions with four options, only one of them is correct.
• For each correct response, the candidate will get 1 mark.
• There is no negative marking for the wrong answer.
• The test is of 2½ hours duration.
7. A po int charge q i s rotated along a circ le in the elec tric
field generated b y another point charge Q. The work
done by the electric field on the rotating charge in
one complete revolution is
(a) zero
(b) positive
(c) negative
(d) zero if the charge Q is at the centre and
nonzero otherwise.
8. The equivalent capacitance of the combination
of the capacitors is
(a) µF 20 . 3
V
10µF 6µF
4µF
(b) µF 80 . 7
(c) µF 90 . 3
(d) 2.16µF
9. The half-life period and the mean life period of a
radioactive element are denoted respectively by
T
h
 and T
m
. Then
(a)T
h
 = T
m
(b) T
h
 > T 
m
(c)T
h
 < T
m
(d)
m h
T T ³
10. In a common base mode of a transistor, the
collector current is 5.488 mA for an emitter current
of 5.60 mA. The value of the base current
amplification factor (b) will be
(a) 49 (b) 5 0 (c) 51 (d) 4 8
11. The magnetic field at a distance r from a long
wire carrying current i is 0.4 tesla. The magnetic
field at a distance 2r is
(a) 0.2 tesla (b) 0.8 tesla
(c) 0.1 tesla (d) 1.6 tesla
12. The velocity-time graph of a body moving in a
straight line is shown in fig. Find the
displacement and distance travelled by the body
in 10 seconds.
20
10
0
–10
–20
A
4 2 6 8 10
C
D
t (s)
u (m/s)
(a) 5 0m , 90 m (b) 5m, 9m
(c) 9m, 5m (d) 90m, 50m
13. An electric dipole is kept in a uniform electric
field. It experiences
(a) a force and a torque
(b) a force, but no torque
(c) a torque but no net force
(d) neither a force nor a torque
14. A person swims in a river aiming to reach exactly
on the opposite point on the bank of a river. His
speed of swimming is 0.5 m/s at an angle of 120º
with the direction of flow of water. The speed of
water is
(a) 1.0 m/s (b) 0.5 m/s
(c) 0.25 m/s (d) 0.43 m/s
15. A rain drop of radius 0.3 mm has a terminal
velocity in air is 1 m/s. The viscosity of air is 8 ×
10
–5
 poise. The viscous force on it is
(a) 45.2 × 10
–4
 dyne (b) 101.73×10
–5
 dyne
(c) 16.95 × 10
–4
 dyne(d) 16.95 × 10
–5
 dyne
16. Consider a pair of insulating blocks with thermal
resistances R
1
 and R
2
 as shown in the figure.
The temperature q at the boundary between the
two blocks is
q
2
R
2
R
1
q
1
(a)(q
1
q
2
ÖR
1
R
2
) / (q
1
 + q
2
) (R
1
 + R
2
)
(b) (q
1
R
1
 + q
2
R
2
) / (R
1
 + R
2
)
(c) [(q
1
 + q
2
) R
1
R
2
] / (R
1
2
 + R
2
2
)
(d) (q
1
 R
2
+ q
2
R
1
) / (R
1
 + R
2
)
17. A mass of 0.5 kg moving with a speed of 1.5 m/
s on a horizontal smooth surface, collides with
a nearly weightless spring of force constant k =
50 N/m. The  maximum compression of the spring
would be
(a) 0.5 m (b) 0.15 m
(c) 0.12 m (d) 1.5 m
18. A solid sphere is rotating in free space. If the
radius of the sphere is increased keeping mass
same which one of the following will not be
affected ?
(a) Angular velocity
(b) Angular momentum
(c) Moment of inertia
(d) Rotational kinetic energy
19. The Young’s modulus of a perfectly rigid body
is
(a) unity
(b) zero
(c) infinity
(d) some finite non-zero constant
20. The figure below shows currents in a part of
electric circuit. The current i is
(a) 1.7 amp
(b) 3.7 amp
i
2 amp
2 amp
1 amp
1.3 amp
(c) 1.3 amp
(d) 1 amp
21. In an electromagnetic wave
(a) power is transmitted along the magnetic
field
(b) power is transmitted along the electric field
(c) power is equally transferred along the
electric and magnetic fields
(d) power is transmitted in a direction per-
pendicular to both the fields
22. A particle covers half of the circle of radius r.
Then the displacement  and distance of the
particle are respectively
(a)2p r , 0 (b) 2r, pr
(c) r 2 ,
2
r p
(d) p r , r
23. A metal ring is held horizontally and bar magnet
is dropped through the ring with its length along
the axis of the ring. The acceleration of the falling
magnet
(a) is equal to g
(b) is less than g
(c) is more than g
(d) depends on the diameter of ring and length
of magnet
24. A particle having a mass 0.5 kg is projected under
gravity with a speed of 98 m/sec at an angle of
60º. The magnitude of the change in momentum
(in N-sec) of the particle after 10 seconds is
[g = 9.8 m/sec
2
]
(a) 0.5 (b) 49
(c) 98 (d) 490
25. For a series RLC circuit R = X
L
 = 2X
C
. The
impedance of the circuit and phase difference
between V and I respectively will be
(a) 
1
5R
,tan (2)
2
-
(b)
1
5R
, tan (1/ 2)
2
-
(c) 
1
C
5X , tan (2)
-
(d)
1
5R, tan (1/ 2)
-
26. A man holding a rifle (mass of person and rifle
together is 100kg) stands on a smooth surface
and fires 10 shots horizontally in 5 sec. Each
bullet has a mass 10 g with a muzzle velocity of
800 ms
–1
. The velocity which the rifle man attains
after  firing 10 shots will be
(a) 8 
1
ms
-
(b) 0.8 
1
ms
-
(c) 0.08
1
ms
-
(d) – 0.8 
1
ms
-
27. Escape velocity when a body of mass m is thrown
vertically from the surface of the earth is v , what
will be the escape velocity of another body of
mass 4 m is thrown vertically
(a)v (b) 2v
(c) 4v (d) None of these
28. A solid cylinder of mass m and radius R rolls
down inclined plane without slipping. The speed
of its C.M. when it reaches the bottom is
(a)
gh 2
h
(b) 4gh/3
(c)
gh 4 / 3
(d)
gh 4
29. A block of mass 5 kg resting on a horizontal
surface is connected by a cord, passing over a
light frictionless pulley to a hanging block of
mass 5 kg. The coefficient of kinetic friction
between the block and the surface is 0.5. Tension
in the cord is : (g = 9.8 m/sec
2
)
5 kg
5 kg
A
B
(a) 49 N (b) Zero
(c) 36.75 N (d) 2.45 N
30. A and B are two wires. The radius of A is twice
that of B. They are stretched by the same load.
Then the stress on B is
(a) equal to that on A
(b) four times that on A
(c) two times that on A
(d) half that on A
31. A liquid is allowed to flow into a tube of truncated
cone shape. Identify the correct statement from
the following.
(a) The speed is high at the wider end and low
at the narrow end.
(b) The speed is low at the wider end and high
at the  narrow end.
(c) The speed is same at both ends in a stream
line flow .
(d) The liquid flows with uniform velocity in
the tube.
32. A planet revolves in an elliptical orbit around
the sun. The semi-major and semi-minor axes are
a and b. Then the square of time period, T is
directly proportional to
(a)
3
a
(b)
3
b
(c)
3
2
b a
÷
ø
ö
ç
è
æ +
(d)
3
2
b a
÷
ø
ö
ç
è
æ -
33. The surface of a metal is illuminated with the
light of 400 nm. The kinetic energy of the
ejected photoelectrons was found to be 1.68
eV. The work function of the metal is (hc =
1240 eV .nm)
(a) 3.09 eV (b) 1.42 eV
(c) 1.51 eV (d) 1.68 eV
34. When a system is taken from state i to state f
along the path iaf, it is found that Q = 50 cal and
W = 20 cal. Along the path ibf Q = 36 cal. W
along the path ibf is
f
b
a
i
(a) 14 cal (b) 6 cal (c) 16 cal (d) 66 cal
35. If the differential equation for a simple harmonic
motion is 
2
2
dy
dt
 + 2y = 0, the time-period of the
motion is
(a) 2 sec p (b)
2
sec
p
s
(c)
sec
2
p
(d) 2p sec
36. Tube A has both ends open while tube B has
one end closed, otherwise they are identical. The
ratio of fundamental frequency of tube A and B
is
(a) 1 : 2 (b) 1 : 4 (c) 2 : 1 (d) 4 : 1
37. The current in the W 1 resistor shown in the
circuit is
(a)
3
2
A
(b) 3 A
6V
W 1
W 4
W 4
(c) 6 A
(d) 2 A
38. The work done by an uniform magnetic field, on a
moving charge is
(a) zero because 
F
r
 acts parallel to v
r
(b) positive because F
r
 acts perpendicular to v
r
(c) zero because F
r
 acts perpendicular to v
r
(d) negative because F
r
acts parallel to v
r
39. In Y oung's double slit experimental setup, if the
wavelength alone is doubled, the bandwidth b
becomes
(a)
2
b
(b) 2b (c)3b (d) b
40. In Young's double slit experiment, the central
point on the screen is
(a) bright
(b) dark
(c) first bright and then dark
(d) first dark and then bright
PART - II (CHEMISTRY)
41. The work done in ergs for the reversible
expansion of one mole of an ideal gas from a
volume of 10 litres to 20 litres at 25°C is
(a) 2.303 × 298 × 0.082 log 2
(b) 298 × 10
7
 × 8.31 × 2.303 log 2
(c) 2.303 × 298 × 0.082 log 0.5
(d) 8.31 × 10
7
× 298 – 2.303 log 0.5
Page 5


PART - I (PHYSICS)
1. The electric resistance of a certain wire of iron
is R. If its length and radius are both doubled,
then
(a) the resistance and the specific resistance,
will both remain unchanged
(b) the resistance will be doubled and the
specific resistance will be halved
(c) the resistance will be halved and the
specific resistance will remain unchanged
(d) the resistance will be halved and the
specific resistance will be doubled
2. Two thin lenses are in contact and the focal
length of the combination is 80 cm. If the focal
length of one lens is 20 cm, then the power of
the other lens will be
(a) 1.66 D(b) 4.00 D (c) – 100 D (d) – 3.75 D
3. If the kinetic energy of a free electron doubles,
it’s de-Broglie wavelength changes by the factor
(a)2 (b)
1
2
(c)
2
(d)
1
2
4. Radioactive element decays to form a stable
nuclide, then the rate of decay of reactant is
shown by
(a)
 t
 N
(b)
 N
 t
(c)
 N    
 t
(d)
 t
 N    
5. The ratio of the energies of the hydrogen atom
in its first to second excited states is
(a) 1/4 (b) 4/9 (c) 9/4 (d) 4
6. Which of the following gates will have an output
of 1?
1
0
0 0
1 1
0 1
(A) (B)
(C)
(D)
(a)D (b) A (c)B (d) C
SOLVED PAPER
VITEEE
2019
(memory based)
GENERAL INSTRUCTIONS
• This question paper contains total 125 questions divided into four parts :
Part I : Physics Q. No - 1 to 40
Part II : Chemistry Q. No - 41 to 80
Part III : Mathematics Q. No - 81 to 120
Part IV : English Q. No - 121 to 125
• All questions are multiple choice questions with four options, only one of them is correct.
• For each correct response, the candidate will get 1 mark.
• There is no negative marking for the wrong answer.
• The test is of 2½ hours duration.
7. A po int charge q i s rotated along a circ le in the elec tric
field generated b y another point charge Q. The work
done by the electric field on the rotating charge in
one complete revolution is
(a) zero
(b) positive
(c) negative
(d) zero if the charge Q is at the centre and
nonzero otherwise.
8. The equivalent capacitance of the combination
of the capacitors is
(a) µF 20 . 3
V
10µF 6µF
4µF
(b) µF 80 . 7
(c) µF 90 . 3
(d) 2.16µF
9. The half-life period and the mean life period of a
radioactive element are denoted respectively by
T
h
 and T
m
. Then
(a)T
h
 = T
m
(b) T
h
 > T 
m
(c)T
h
 < T
m
(d)
m h
T T ³
10. In a common base mode of a transistor, the
collector current is 5.488 mA for an emitter current
of 5.60 mA. The value of the base current
amplification factor (b) will be
(a) 49 (b) 5 0 (c) 51 (d) 4 8
11. The magnetic field at a distance r from a long
wire carrying current i is 0.4 tesla. The magnetic
field at a distance 2r is
(a) 0.2 tesla (b) 0.8 tesla
(c) 0.1 tesla (d) 1.6 tesla
12. The velocity-time graph of a body moving in a
straight line is shown in fig. Find the
displacement and distance travelled by the body
in 10 seconds.
20
10
0
–10
–20
A
4 2 6 8 10
C
D
t (s)
u (m/s)
(a) 5 0m , 90 m (b) 5m, 9m
(c) 9m, 5m (d) 90m, 50m
13. An electric dipole is kept in a uniform electric
field. It experiences
(a) a force and a torque
(b) a force, but no torque
(c) a torque but no net force
(d) neither a force nor a torque
14. A person swims in a river aiming to reach exactly
on the opposite point on the bank of a river. His
speed of swimming is 0.5 m/s at an angle of 120º
with the direction of flow of water. The speed of
water is
(a) 1.0 m/s (b) 0.5 m/s
(c) 0.25 m/s (d) 0.43 m/s
15. A rain drop of radius 0.3 mm has a terminal
velocity in air is 1 m/s. The viscosity of air is 8 ×
10
–5
 poise. The viscous force on it is
(a) 45.2 × 10
–4
 dyne (b) 101.73×10
–5
 dyne
(c) 16.95 × 10
–4
 dyne(d) 16.95 × 10
–5
 dyne
16. Consider a pair of insulating blocks with thermal
resistances R
1
 and R
2
 as shown in the figure.
The temperature q at the boundary between the
two blocks is
q
2
R
2
R
1
q
1
(a)(q
1
q
2
ÖR
1
R
2
) / (q
1
 + q
2
) (R
1
 + R
2
)
(b) (q
1
R
1
 + q
2
R
2
) / (R
1
 + R
2
)
(c) [(q
1
 + q
2
) R
1
R
2
] / (R
1
2
 + R
2
2
)
(d) (q
1
 R
2
+ q
2
R
1
) / (R
1
 + R
2
)
17. A mass of 0.5 kg moving with a speed of 1.5 m/
s on a horizontal smooth surface, collides with
a nearly weightless spring of force constant k =
50 N/m. The  maximum compression of the spring
would be
(a) 0.5 m (b) 0.15 m
(c) 0.12 m (d) 1.5 m
18. A solid sphere is rotating in free space. If the
radius of the sphere is increased keeping mass
same which one of the following will not be
affected ?
(a) Angular velocity
(b) Angular momentum
(c) Moment of inertia
(d) Rotational kinetic energy
19. The Young’s modulus of a perfectly rigid body
is
(a) unity
(b) zero
(c) infinity
(d) some finite non-zero constant
20. The figure below shows currents in a part of
electric circuit. The current i is
(a) 1.7 amp
(b) 3.7 amp
i
2 amp
2 amp
1 amp
1.3 amp
(c) 1.3 amp
(d) 1 amp
21. In an electromagnetic wave
(a) power is transmitted along the magnetic
field
(b) power is transmitted along the electric field
(c) power is equally transferred along the
electric and magnetic fields
(d) power is transmitted in a direction per-
pendicular to both the fields
22. A particle covers half of the circle of radius r.
Then the displacement  and distance of the
particle are respectively
(a)2p r , 0 (b) 2r, pr
(c) r 2 ,
2
r p
(d) p r , r
23. A metal ring is held horizontally and bar magnet
is dropped through the ring with its length along
the axis of the ring. The acceleration of the falling
magnet
(a) is equal to g
(b) is less than g
(c) is more than g
(d) depends on the diameter of ring and length
of magnet
24. A particle having a mass 0.5 kg is projected under
gravity with a speed of 98 m/sec at an angle of
60º. The magnitude of the change in momentum
(in N-sec) of the particle after 10 seconds is
[g = 9.8 m/sec
2
]
(a) 0.5 (b) 49
(c) 98 (d) 490
25. For a series RLC circuit R = X
L
 = 2X
C
. The
impedance of the circuit and phase difference
between V and I respectively will be
(a) 
1
5R
,tan (2)
2
-
(b)
1
5R
, tan (1/ 2)
2
-
(c) 
1
C
5X , tan (2)
-
(d)
1
5R, tan (1/ 2)
-
26. A man holding a rifle (mass of person and rifle
together is 100kg) stands on a smooth surface
and fires 10 shots horizontally in 5 sec. Each
bullet has a mass 10 g with a muzzle velocity of
800 ms
–1
. The velocity which the rifle man attains
after  firing 10 shots will be
(a) 8 
1
ms
-
(b) 0.8 
1
ms
-
(c) 0.08
1
ms
-
(d) – 0.8 
1
ms
-
27. Escape velocity when a body of mass m is thrown
vertically from the surface of the earth is v , what
will be the escape velocity of another body of
mass 4 m is thrown vertically
(a)v (b) 2v
(c) 4v (d) None of these
28. A solid cylinder of mass m and radius R rolls
down inclined plane without slipping. The speed
of its C.M. when it reaches the bottom is
(a)
gh 2
h
(b) 4gh/3
(c)
gh 4 / 3
(d)
gh 4
29. A block of mass 5 kg resting on a horizontal
surface is connected by a cord, passing over a
light frictionless pulley to a hanging block of
mass 5 kg. The coefficient of kinetic friction
between the block and the surface is 0.5. Tension
in the cord is : (g = 9.8 m/sec
2
)
5 kg
5 kg
A
B
(a) 49 N (b) Zero
(c) 36.75 N (d) 2.45 N
30. A and B are two wires. The radius of A is twice
that of B. They are stretched by the same load.
Then the stress on B is
(a) equal to that on A
(b) four times that on A
(c) two times that on A
(d) half that on A
31. A liquid is allowed to flow into a tube of truncated
cone shape. Identify the correct statement from
the following.
(a) The speed is high at the wider end and low
at the narrow end.
(b) The speed is low at the wider end and high
at the  narrow end.
(c) The speed is same at both ends in a stream
line flow .
(d) The liquid flows with uniform velocity in
the tube.
32. A planet revolves in an elliptical orbit around
the sun. The semi-major and semi-minor axes are
a and b. Then the square of time period, T is
directly proportional to
(a)
3
a
(b)
3
b
(c)
3
2
b a
÷
ø
ö
ç
è
æ +
(d)
3
2
b a
÷
ø
ö
ç
è
æ -
33. The surface of a metal is illuminated with the
light of 400 nm. The kinetic energy of the
ejected photoelectrons was found to be 1.68
eV. The work function of the metal is (hc =
1240 eV .nm)
(a) 3.09 eV (b) 1.42 eV
(c) 1.51 eV (d) 1.68 eV
34. When a system is taken from state i to state f
along the path iaf, it is found that Q = 50 cal and
W = 20 cal. Along the path ibf Q = 36 cal. W
along the path ibf is
f
b
a
i
(a) 14 cal (b) 6 cal (c) 16 cal (d) 66 cal
35. If the differential equation for a simple harmonic
motion is 
2
2
dy
dt
 + 2y = 0, the time-period of the
motion is
(a) 2 sec p (b)
2
sec
p
s
(c)
sec
2
p
(d) 2p sec
36. Tube A has both ends open while tube B has
one end closed, otherwise they are identical. The
ratio of fundamental frequency of tube A and B
is
(a) 1 : 2 (b) 1 : 4 (c) 2 : 1 (d) 4 : 1
37. The current in the W 1 resistor shown in the
circuit is
(a)
3
2
A
(b) 3 A
6V
W 1
W 4
W 4
(c) 6 A
(d) 2 A
38. The work done by an uniform magnetic field, on a
moving charge is
(a) zero because 
F
r
 acts parallel to v
r
(b) positive because F
r
 acts perpendicular to v
r
(c) zero because F
r
 acts perpendicular to v
r
(d) negative because F
r
acts parallel to v
r
39. In Y oung's double slit experimental setup, if the
wavelength alone is doubled, the bandwidth b
becomes
(a)
2
b
(b) 2b (c)3b (d) b
40. In Young's double slit experiment, the central
point on the screen is
(a) bright
(b) dark
(c) first bright and then dark
(d) first dark and then bright
PART - II (CHEMISTRY)
41. The work done in ergs for the reversible
expansion of one mole of an ideal gas from a
volume of 10 litres to 20 litres at 25°C is
(a) 2.303 × 298 × 0.082 log 2
(b) 298 × 10
7
 × 8.31 × 2.303 log 2
(c) 2.303 × 298 × 0.082 log 0.5
(d) 8.31 × 10
7
× 298 – 2.303 log 0.5
42. A Fischer projection of (2R, 3S)-2,3-butanediol
is : -
(a)
H HO
HO H
CH
3
CH
3
(b)
H HO
OH H
CH
3
CH
3
(c)
H HO
OH H
CH
3
CH
3
(d)
H H
OH H
CH
3
CH
3
43. Arrange the following particles in increasing
order of values of e/m ratio : electron (e), proton
(p), neutron (n) and a-particle (a) -
(a) n, p, e, a (b) n, a, p, e
(c) n, p, a, e (d) e, p, n, a
44. Acidified potassium dichromate is treated with
hydrogen sulphide. In the reaction, the oxidation
number of chromium
(a) Increases from + 3 to +6
(b) Decreases from +6 to +3
(c) Remains unchanged
(d) Decreases from +6 to +2
45. For the reaction N
2
 + 3H
2
 ® 2NH
3
if
 
3
[NH]
t
D
D
 = 2
 
× 10
–4
 mol l
–1
s
–1
, then value of
2
– [H]
t
D
D
 would be
(a) 1 × 10
–4
 mol L
–1
s
–1
(b) 3 × 10
–4
 mol L
–1
s
–1
(c) 4 × 10
–4
 mol L
–1
s
–1
(d) 6 × 10
–4
 mol L
–1
s
–1
46. The value of K
c
 for the reaction :
A + 3B     2C at 400°C  is 0.5. Calculate the
value of K
P
(a) 1.64 × 10
–4
(b) 1.64 × 10
–6
(c) 1.64 × 10
–5
(d) 1.64 × 10
–3
47. Tautomerism is net exhibited by –
(a)
CH = CH – OH
(b) O
O
(c) O
O
(d)
O O
48. The electrode potentials for
Cu
2+ 
 (aq) + e
–
 
¾¾®
Cu
+ 
(aq)
and Cu
+ 
 (aq) + e
–
 ¾¾® Cu(s)
are + 0.15 V and + 0.50 V , respectively . The value
of 
2
Cu /Cu
E
+
° will be :
(a) 0.500 V (b) 0.325 V
(c) 0.650 V (d) 0.150 V
49. Deep sea divers used to respirate a mixture of
(a) Oxygen and argon
(b) Oxygen and helium
(c) Oxygen and nitrogen
(d) Oxygen and hydrogen
50. The wavelengths of two photons are 2000Å and
4000Å respectively. What is the ratio of their
energies?
(a) 1/4 (b) 4 (c) 1/2 (d) 2
51. Ethylene glycol, on oxidation with per-iodic acid,
gives
(a) Oxalic acid (b) Glycol
(c) Formaldehyde (d) Glycolic acid
52. What is X in the following change ?
O
HC
2
|
C  CH -
3
CH
3
 
¾® ¾
X
 
3
23
3
OH OCH
||
H C C CH
|
CH
--
(a)
3 24
CH OH,H SO
(b)
33
CHOH,CHONa
+
(c)
2 24
H O / H SO followed by OH CH
3
(d) CH
3
MgBr/  H
3
O
+