Page 1
(1)
Choose the correct answer :
MM : 800 Regular Classroom Test - 9 Time : 3 Hrs.
(REGULAR MEDICAL - 2011)
Complete Syllabus of Class XI & XII
21/02/2011
Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075
Ph.: 011-47623456 Fax : 011-47623472
Premier Institute in India for Medical Entrance Exams.
RM
CODE- D
1. The position (x) of a body is changing with time (t) as
x = t
2
– 4t – 2. Find the distance covered by body in
4 s (where x is in metres and t is in seconds)
(1) 8 m (2) 4 m
(3) 2 m (4) Zero
2. The maximum percentage error in mass of a spherical
body is 0.04 and the maximum percentage error in
radius is 0.01. Find the maximum percentage error in
density of body
(1) 0.07 (2) 0.01
(3) 0.03 (4) 0.04
3. Which of the following is not a unit of length?
(1) angstrom (2) light yeara
(3) parsec (4) curie
4. A body covers first 1/3
rd
of journey with velocity v
1
,
half of remaining part with velocity v
2
and rest part
with velocity v
3
. The average velocity of journey is
(1)
2 1
2 1
3
v v
v v
?
(2)
3 1
3 1
3
v v
v v
?
(3)
3
3 2 1
v v v ? ?
(4)
1 3 3 2 2 1
3 2 1
3
v v v v v v
v v v
? ?
5. Rain droplets are falling in vertically downward
direction with velocity 5 m/s. A cyclist is moving in
northward direction with velocity 10 m/s. The rain
droplets will appear to the cyclist to be coming from
(1) tan
–1
(2) above south horizontal
(2) ?
?
?
?
?
?
?
2
1
tan
1
above north horizontal
(3) Vertically downward
(4) tan
–1
(2) above north norizontal
6. The vector sum of two vectors is perpendicular to the
vector subtraction of these two vectors, then the
vectors are
(1) Mutually perpendicular
(2) Having same magnitude
(3) Equal vectors
(4) Negative vectors
7. When an elevator is moving upward, the apparent
weight of a body inside elevator
(1) Will increase
(2) Will decrease
(3) Remains the same
(4) May be any of these
PHYSICS
Page 2
(1)
Choose the correct answer :
MM : 800 Regular Classroom Test - 9 Time : 3 Hrs.
(REGULAR MEDICAL - 2011)
Complete Syllabus of Class XI & XII
21/02/2011
Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075
Ph.: 011-47623456 Fax : 011-47623472
Premier Institute in India for Medical Entrance Exams.
RM
CODE- D
1. The position (x) of a body is changing with time (t) as
x = t
2
– 4t – 2. Find the distance covered by body in
4 s (where x is in metres and t is in seconds)
(1) 8 m (2) 4 m
(3) 2 m (4) Zero
2. The maximum percentage error in mass of a spherical
body is 0.04 and the maximum percentage error in
radius is 0.01. Find the maximum percentage error in
density of body
(1) 0.07 (2) 0.01
(3) 0.03 (4) 0.04
3. Which of the following is not a unit of length?
(1) angstrom (2) light yeara
(3) parsec (4) curie
4. A body covers first 1/3
rd
of journey with velocity v
1
,
half of remaining part with velocity v
2
and rest part
with velocity v
3
. The average velocity of journey is
(1)
2 1
2 1
3
v v
v v
?
(2)
3 1
3 1
3
v v
v v
?
(3)
3
3 2 1
v v v ? ?
(4)
1 3 3 2 2 1
3 2 1
3
v v v v v v
v v v
? ?
5. Rain droplets are falling in vertically downward
direction with velocity 5 m/s. A cyclist is moving in
northward direction with velocity 10 m/s. The rain
droplets will appear to the cyclist to be coming from
(1) tan
–1
(2) above south horizontal
(2) ?
?
?
?
?
?
?
2
1
tan
1
above north horizontal
(3) Vertically downward
(4) tan
–1
(2) above north norizontal
6. The vector sum of two vectors is perpendicular to the
vector subtraction of these two vectors, then the
vectors are
(1) Mutually perpendicular
(2) Having same magnitude
(3) Equal vectors
(4) Negative vectors
7. When an elevator is moving upward, the apparent
weight of a body inside elevator
(1) Will increase
(2) Will decrease
(3) Remains the same
(4) May be any of these
PHYSICS
(2)
8. A car is moving with constant speed along the path
as shown in the figure. The force applied by the car
on the surface is maximum at
A
B
C
(1) A (2) B
(3) C (4) All the points
9. A stone of mass m tied to one end of a string of
length l is released from horizontal position while
other end of string is fixed. Find the angle of string
with vertical when the acceleration of the stone is
horizontal
O
?
m
(1)
) 2 ( tan
1 ?
(2)
?
?
?
?
?
?
?
?
?
2
1
tan
1
(3) 0° (4) 90°
10. A ball of mass m
1
collides head-on and elastic with
another ball of mass m
2
. The fraction of kinetic
energy transferred is maximum, if
2
1
m
m
=
(1) 1 (2) Zero
(3) Infinite (4) 2
11. A uniform rod is bent in U shape as shown in the
figure. The coordinate of centre of mass of the
system is
P
(0, 0)
a a
a
(1) (0, 0) (2)
?
?
?
?
?
?
2
,
2
a a
(3)
?
?
?
?
?
?
3
,
2
a a
(4)
?
?
?
?
?
?
2
,
a
a
12. A uniform rod of length l is pivoted at its one end.
It is free to move in vertical plane. If the rod is
released from horizontal position, then velocity of free
end of rod when it become vertical is
(1) ? g (2) ? g 3
(3) ? g 5 (4) Zero
13. If gravitational force between satellite and planet is
directly proportional to r
n
, where r is orbital radius of
satellite, then the time period of satellite is directly
proportional to
(1) r
n – 1
(2)
2
1
1
? n
r
(3)
2
n
r (4)
2
3n
r
14. A body is dropped from a height equal to radius of
earth R. The velocity with which body will strike the
ground is
(1)
Rg 2
(2) gR
(3) gR 2 (4)
2
gR
15. A sheet is with two holes as shown in the figure. On
heating separation between two holes will
A
B
(1) Increase
(2) Decrease
(3) Remains the same
(4) May increase or decrease depends on nature of
material
16. A uniform rod is of radius r, length l and Young's
modulus Y is placed on smooth surface as shown
in the figure. If it is pushed by a horizontal froce F,
then the strain in cylinder is
F
l
(1)
Y r
F
2
2 ?
(2)
Y r
F
2
4 ?
(3)
Y r
F
2
2
?
(4)
Y r
F
2
?
17. An ice block is floating in water in a container with
a metallic ball inside it. When ice will melt,
completely, the level of water
(1) Will rise
(2) Will fall
(3) Remains the same
(4) Depends on amount of ice
Page 3
(1)
Choose the correct answer :
MM : 800 Regular Classroom Test - 9 Time : 3 Hrs.
(REGULAR MEDICAL - 2011)
Complete Syllabus of Class XI & XII
21/02/2011
Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075
Ph.: 011-47623456 Fax : 011-47623472
Premier Institute in India for Medical Entrance Exams.
RM
CODE- D
1. The position (x) of a body is changing with time (t) as
x = t
2
– 4t – 2. Find the distance covered by body in
4 s (where x is in metres and t is in seconds)
(1) 8 m (2) 4 m
(3) 2 m (4) Zero
2. The maximum percentage error in mass of a spherical
body is 0.04 and the maximum percentage error in
radius is 0.01. Find the maximum percentage error in
density of body
(1) 0.07 (2) 0.01
(3) 0.03 (4) 0.04
3. Which of the following is not a unit of length?
(1) angstrom (2) light yeara
(3) parsec (4) curie
4. A body covers first 1/3
rd
of journey with velocity v
1
,
half of remaining part with velocity v
2
and rest part
with velocity v
3
. The average velocity of journey is
(1)
2 1
2 1
3
v v
v v
?
(2)
3 1
3 1
3
v v
v v
?
(3)
3
3 2 1
v v v ? ?
(4)
1 3 3 2 2 1
3 2 1
3
v v v v v v
v v v
? ?
5. Rain droplets are falling in vertically downward
direction with velocity 5 m/s. A cyclist is moving in
northward direction with velocity 10 m/s. The rain
droplets will appear to the cyclist to be coming from
(1) tan
–1
(2) above south horizontal
(2) ?
?
?
?
?
?
?
2
1
tan
1
above north horizontal
(3) Vertically downward
(4) tan
–1
(2) above north norizontal
6. The vector sum of two vectors is perpendicular to the
vector subtraction of these two vectors, then the
vectors are
(1) Mutually perpendicular
(2) Having same magnitude
(3) Equal vectors
(4) Negative vectors
7. When an elevator is moving upward, the apparent
weight of a body inside elevator
(1) Will increase
(2) Will decrease
(3) Remains the same
(4) May be any of these
PHYSICS
(2)
8. A car is moving with constant speed along the path
as shown in the figure. The force applied by the car
on the surface is maximum at
A
B
C
(1) A (2) B
(3) C (4) All the points
9. A stone of mass m tied to one end of a string of
length l is released from horizontal position while
other end of string is fixed. Find the angle of string
with vertical when the acceleration of the stone is
horizontal
O
?
m
(1)
) 2 ( tan
1 ?
(2)
?
?
?
?
?
?
?
?
?
2
1
tan
1
(3) 0° (4) 90°
10. A ball of mass m
1
collides head-on and elastic with
another ball of mass m
2
. The fraction of kinetic
energy transferred is maximum, if
2
1
m
m
=
(1) 1 (2) Zero
(3) Infinite (4) 2
11. A uniform rod is bent in U shape as shown in the
figure. The coordinate of centre of mass of the
system is
P
(0, 0)
a a
a
(1) (0, 0) (2)
?
?
?
?
?
?
2
,
2
a a
(3)
?
?
?
?
?
?
3
,
2
a a
(4)
?
?
?
?
?
?
2
,
a
a
12. A uniform rod of length l is pivoted at its one end.
It is free to move in vertical plane. If the rod is
released from horizontal position, then velocity of free
end of rod when it become vertical is
(1) ? g (2) ? g 3
(3) ? g 5 (4) Zero
13. If gravitational force between satellite and planet is
directly proportional to r
n
, where r is orbital radius of
satellite, then the time period of satellite is directly
proportional to
(1) r
n – 1
(2)
2
1
1
? n
r
(3)
2
n
r (4)
2
3n
r
14. A body is dropped from a height equal to radius of
earth R. The velocity with which body will strike the
ground is
(1)
Rg 2
(2) gR
(3) gR 2 (4)
2
gR
15. A sheet is with two holes as shown in the figure. On
heating separation between two holes will
A
B
(1) Increase
(2) Decrease
(3) Remains the same
(4) May increase or decrease depends on nature of
material
16. A uniform rod is of radius r, length l and Young's
modulus Y is placed on smooth surface as shown
in the figure. If it is pushed by a horizontal froce F,
then the strain in cylinder is
F
l
(1)
Y r
F
2
2 ?
(2)
Y r
F
2
4 ?
(3)
Y r
F
2
2
?
(4)
Y r
F
2
?
17. An ice block is floating in water in a container with
a metallic ball inside it. When ice will melt,
completely, the level of water
(1) Will rise
(2) Will fall
(3) Remains the same
(4) Depends on amount of ice
(3)
18. A container is on a table of height
2
H
and H is
height of water level in container. What should be
height of a hole A from ground in wall of container for
the maximum range?
H
H/2
A
(1)
2
H
(2)
2
3H
(3)
4
3H
(4) H
19. At constant pressure, the mean free path (?) of a
gas molecule varies with temperature (T) as
(1)
?
T
(2)
?
T
(3)
?
T
(4)
?
T
20. When an ideal monoatomic gas is heated at
constant pressure the fraction of the heat energy
supplied which increases the internal energy of
gas is
(1)
5
3
(2)
3
5
(3)
5
7
(4)
2
5
21. The frequency of first overtone of an open organ pipe
is same as that of a closed organ pipe. If the length
of open organ pipe is l, then length of the closed
organ pipe will be
(1)
2
?
(2)
4
?
(3)
4
3 ?
(4) l
22. For a resonance tube, the air columns for the first
and second resonance differ in length by 31.5 cm.
The wavelength of the sound wave is
(1) 31.5 cm (2) 63.0 cm
(3) 126.0 cm (4) 252.0 cm
23. The time period of a simple pendulum having string
of length l, bob of density ? immersed in a liquid of
density s is
(1)
g
?
? 2 (2)
) (
2
? ? ?
?
?
g
?
(3)
) (
2
? ? ?
?
?
g
?
(4)
) (
2
? ? ?
?
?
g
?
24. Velocity of a longitudinal wave in a medium depends
on
(1) Pressure
(2) Frequency of particle of medium
(3) Amplitude of particle of medium
(4) Humidity
25. A boy is walking away from a wall at a speed of
1 m/s in a direction at right angles to the wall and
he blows a whistle steadily. An observer, toward
whom boy is walking hear 4 beats per second. If the
speed of sound is 340 m/s, then the frequency of the
whistle is (approximately)
(1) 340 Hz (2) 680 Hz
(3) 170 Hz (4) 1360 Hz
26. Which of the following electrostatic lines of force are
possible?
(1) (2)
(3) (4)
27. An electric dipole in non-uniform electric field has
(1) Rotational motion only
(2) Translational motion only
(3) Both rotational and translational
(4) All of these are possible
28. An electron is released on the axis of a positively
charged ring having charge +Q and radius R from
distance of R 3 from centre. The kinetic energy of
electron at the centre is (e is electronic charge)
(1)
R
Qe
0
4 ??
(2)
R
Qe
0
8 ??
(3)
R
Qe
0
2 ??
(4) Zero
Page 4
(1)
Choose the correct answer :
MM : 800 Regular Classroom Test - 9 Time : 3 Hrs.
(REGULAR MEDICAL - 2011)
Complete Syllabus of Class XI & XII
21/02/2011
Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075
Ph.: 011-47623456 Fax : 011-47623472
Premier Institute in India for Medical Entrance Exams.
RM
CODE- D
1. The position (x) of a body is changing with time (t) as
x = t
2
– 4t – 2. Find the distance covered by body in
4 s (where x is in metres and t is in seconds)
(1) 8 m (2) 4 m
(3) 2 m (4) Zero
2. The maximum percentage error in mass of a spherical
body is 0.04 and the maximum percentage error in
radius is 0.01. Find the maximum percentage error in
density of body
(1) 0.07 (2) 0.01
(3) 0.03 (4) 0.04
3. Which of the following is not a unit of length?
(1) angstrom (2) light yeara
(3) parsec (4) curie
4. A body covers first 1/3
rd
of journey with velocity v
1
,
half of remaining part with velocity v
2
and rest part
with velocity v
3
. The average velocity of journey is
(1)
2 1
2 1
3
v v
v v
?
(2)
3 1
3 1
3
v v
v v
?
(3)
3
3 2 1
v v v ? ?
(4)
1 3 3 2 2 1
3 2 1
3
v v v v v v
v v v
? ?
5. Rain droplets are falling in vertically downward
direction with velocity 5 m/s. A cyclist is moving in
northward direction with velocity 10 m/s. The rain
droplets will appear to the cyclist to be coming from
(1) tan
–1
(2) above south horizontal
(2) ?
?
?
?
?
?
?
2
1
tan
1
above north horizontal
(3) Vertically downward
(4) tan
–1
(2) above north norizontal
6. The vector sum of two vectors is perpendicular to the
vector subtraction of these two vectors, then the
vectors are
(1) Mutually perpendicular
(2) Having same magnitude
(3) Equal vectors
(4) Negative vectors
7. When an elevator is moving upward, the apparent
weight of a body inside elevator
(1) Will increase
(2) Will decrease
(3) Remains the same
(4) May be any of these
PHYSICS
(2)
8. A car is moving with constant speed along the path
as shown in the figure. The force applied by the car
on the surface is maximum at
A
B
C
(1) A (2) B
(3) C (4) All the points
9. A stone of mass m tied to one end of a string of
length l is released from horizontal position while
other end of string is fixed. Find the angle of string
with vertical when the acceleration of the stone is
horizontal
O
?
m
(1)
) 2 ( tan
1 ?
(2)
?
?
?
?
?
?
?
?
?
2
1
tan
1
(3) 0° (4) 90°
10. A ball of mass m
1
collides head-on and elastic with
another ball of mass m
2
. The fraction of kinetic
energy transferred is maximum, if
2
1
m
m
=
(1) 1 (2) Zero
(3) Infinite (4) 2
11. A uniform rod is bent in U shape as shown in the
figure. The coordinate of centre of mass of the
system is
P
(0, 0)
a a
a
(1) (0, 0) (2)
?
?
?
?
?
?
2
,
2
a a
(3)
?
?
?
?
?
?
3
,
2
a a
(4)
?
?
?
?
?
?
2
,
a
a
12. A uniform rod of length l is pivoted at its one end.
It is free to move in vertical plane. If the rod is
released from horizontal position, then velocity of free
end of rod when it become vertical is
(1) ? g (2) ? g 3
(3) ? g 5 (4) Zero
13. If gravitational force between satellite and planet is
directly proportional to r
n
, where r is orbital radius of
satellite, then the time period of satellite is directly
proportional to
(1) r
n – 1
(2)
2
1
1
? n
r
(3)
2
n
r (4)
2
3n
r
14. A body is dropped from a height equal to radius of
earth R. The velocity with which body will strike the
ground is
(1)
Rg 2
(2) gR
(3) gR 2 (4)
2
gR
15. A sheet is with two holes as shown in the figure. On
heating separation between two holes will
A
B
(1) Increase
(2) Decrease
(3) Remains the same
(4) May increase or decrease depends on nature of
material
16. A uniform rod is of radius r, length l and Young's
modulus Y is placed on smooth surface as shown
in the figure. If it is pushed by a horizontal froce F,
then the strain in cylinder is
F
l
(1)
Y r
F
2
2 ?
(2)
Y r
F
2
4 ?
(3)
Y r
F
2
2
?
(4)
Y r
F
2
?
17. An ice block is floating in water in a container with
a metallic ball inside it. When ice will melt,
completely, the level of water
(1) Will rise
(2) Will fall
(3) Remains the same
(4) Depends on amount of ice
(3)
18. A container is on a table of height
2
H
and H is
height of water level in container. What should be
height of a hole A from ground in wall of container for
the maximum range?
H
H/2
A
(1)
2
H
(2)
2
3H
(3)
4
3H
(4) H
19. At constant pressure, the mean free path (?) of a
gas molecule varies with temperature (T) as
(1)
?
T
(2)
?
T
(3)
?
T
(4)
?
T
20. When an ideal monoatomic gas is heated at
constant pressure the fraction of the heat energy
supplied which increases the internal energy of
gas is
(1)
5
3
(2)
3
5
(3)
5
7
(4)
2
5
21. The frequency of first overtone of an open organ pipe
is same as that of a closed organ pipe. If the length
of open organ pipe is l, then length of the closed
organ pipe will be
(1)
2
?
(2)
4
?
(3)
4
3 ?
(4) l
22. For a resonance tube, the air columns for the first
and second resonance differ in length by 31.5 cm.
The wavelength of the sound wave is
(1) 31.5 cm (2) 63.0 cm
(3) 126.0 cm (4) 252.0 cm
23. The time period of a simple pendulum having string
of length l, bob of density ? immersed in a liquid of
density s is
(1)
g
?
? 2 (2)
) (
2
? ? ?
?
?
g
?
(3)
) (
2
? ? ?
?
?
g
?
(4)
) (
2
? ? ?
?
?
g
?
24. Velocity of a longitudinal wave in a medium depends
on
(1) Pressure
(2) Frequency of particle of medium
(3) Amplitude of particle of medium
(4) Humidity
25. A boy is walking away from a wall at a speed of
1 m/s in a direction at right angles to the wall and
he blows a whistle steadily. An observer, toward
whom boy is walking hear 4 beats per second. If the
speed of sound is 340 m/s, then the frequency of the
whistle is (approximately)
(1) 340 Hz (2) 680 Hz
(3) 170 Hz (4) 1360 Hz
26. Which of the following electrostatic lines of force are
possible?
(1) (2)
(3) (4)
27. An electric dipole in non-uniform electric field has
(1) Rotational motion only
(2) Translational motion only
(3) Both rotational and translational
(4) All of these are possible
28. An electron is released on the axis of a positively
charged ring having charge +Q and radius R from
distance of R 3 from centre. The kinetic energy of
electron at the centre is (e is electronic charge)
(1)
R
Qe
0
4 ??
(2)
R
Qe
0
8 ??
(3)
R
Qe
0
2 ??
(4) Zero
(4)
29. Find the net capacitance of the given circuit
CC C C C
(1) 5C (2) 3C
(3)
7
3C
(4)
2
7C
30. If the separation between two isolated charged plates
is increased, then the force between two plates
(1) Increases
(2) Decreases
(3) Remains unchanged
(4) May increases or decreases
31. A cuboidal shaped conductor has dimensions in the
ratio of 1 : 3 : 5. The ratio of maximum to minimum
resistance of conductor is
(1) 1 : 1 (2) 5 : 1
(3) 15 : 1 (4) 25 : 1
32. When the key K is unplugged, how brightness of
bulb B
1
and B
2
changes?
B
3
B
2
B
1
K
(1) Brightness of B
2
increases and brightness of B
1
decreases
(2) Brightness of B
1
is same and brightness of B
2
increases
(3) Brightness of B
1
increases and brightness of B
2
is same
(4) Brightness of both bulbs B
1
and B
2
increases
33. Find the reading of ammeter shown in the circuit
A
6 ? 6 ?
3 ? 3 ?
+ –
5 V
(1) 3 A (2) 1.5 A
(3) 6 A (4) Zero
34. A proton and deutron enter in a region of uniform
magnetic field with equal momenta in the direction
perpendicular to the field. The ratio of radii of circular
path is
(1) 1 : 1 (2) 2 : 1
(3) 4 : 1 (4) 1 : 2
35. The magnetic field at the point O in the given figure is
A
I
B
30°
60°
a
O
(1)
) 1 3 (
8
0
?
?
?
a
I
(2) ) 1 3 (
8
0
?
?
?
a
I
(3) ) 1 3 (
4
0
?
?
?
a
I
(4) Zero
36. A bar magnet of dipole moment M is bent as a part
of circle shown in the figure. The new dipole
moment is
RR
O
R
(1) M (2)
? 5
3M
(3)
? 3
5M
(4)
?
M 2
37. A magnet oscillates with time period T. If magnet is
cut into 16 equal pieces as shown in figure, then the
time period of each piece is
N
S
(1)
16
T
(2)
4
T
(3) 4T (4)
2
T
38. A conductor is moving with velocity v in a region of
uniform magnetic field B. The electric field at P
inside conductor is
×× ×
×× ×
×× ×
v
P
(1) Zero (2) vB
(3)
B
v
(4)
v
B
Page 5
(1)
Choose the correct answer :
MM : 800 Regular Classroom Test - 9 Time : 3 Hrs.
(REGULAR MEDICAL - 2011)
Complete Syllabus of Class XI & XII
21/02/2011
Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075
Ph.: 011-47623456 Fax : 011-47623472
Premier Institute in India for Medical Entrance Exams.
RM
CODE- D
1. The position (x) of a body is changing with time (t) as
x = t
2
– 4t – 2. Find the distance covered by body in
4 s (where x is in metres and t is in seconds)
(1) 8 m (2) 4 m
(3) 2 m (4) Zero
2. The maximum percentage error in mass of a spherical
body is 0.04 and the maximum percentage error in
radius is 0.01. Find the maximum percentage error in
density of body
(1) 0.07 (2) 0.01
(3) 0.03 (4) 0.04
3. Which of the following is not a unit of length?
(1) angstrom (2) light yeara
(3) parsec (4) curie
4. A body covers first 1/3
rd
of journey with velocity v
1
,
half of remaining part with velocity v
2
and rest part
with velocity v
3
. The average velocity of journey is
(1)
2 1
2 1
3
v v
v v
?
(2)
3 1
3 1
3
v v
v v
?
(3)
3
3 2 1
v v v ? ?
(4)
1 3 3 2 2 1
3 2 1
3
v v v v v v
v v v
? ?
5. Rain droplets are falling in vertically downward
direction with velocity 5 m/s. A cyclist is moving in
northward direction with velocity 10 m/s. The rain
droplets will appear to the cyclist to be coming from
(1) tan
–1
(2) above south horizontal
(2) ?
?
?
?
?
?
?
2
1
tan
1
above north horizontal
(3) Vertically downward
(4) tan
–1
(2) above north norizontal
6. The vector sum of two vectors is perpendicular to the
vector subtraction of these two vectors, then the
vectors are
(1) Mutually perpendicular
(2) Having same magnitude
(3) Equal vectors
(4) Negative vectors
7. When an elevator is moving upward, the apparent
weight of a body inside elevator
(1) Will increase
(2) Will decrease
(3) Remains the same
(4) May be any of these
PHYSICS
(2)
8. A car is moving with constant speed along the path
as shown in the figure. The force applied by the car
on the surface is maximum at
A
B
C
(1) A (2) B
(3) C (4) All the points
9. A stone of mass m tied to one end of a string of
length l is released from horizontal position while
other end of string is fixed. Find the angle of string
with vertical when the acceleration of the stone is
horizontal
O
?
m
(1)
) 2 ( tan
1 ?
(2)
?
?
?
?
?
?
?
?
?
2
1
tan
1
(3) 0° (4) 90°
10. A ball of mass m
1
collides head-on and elastic with
another ball of mass m
2
. The fraction of kinetic
energy transferred is maximum, if
2
1
m
m
=
(1) 1 (2) Zero
(3) Infinite (4) 2
11. A uniform rod is bent in U shape as shown in the
figure. The coordinate of centre of mass of the
system is
P
(0, 0)
a a
a
(1) (0, 0) (2)
?
?
?
?
?
?
2
,
2
a a
(3)
?
?
?
?
?
?
3
,
2
a a
(4)
?
?
?
?
?
?
2
,
a
a
12. A uniform rod of length l is pivoted at its one end.
It is free to move in vertical plane. If the rod is
released from horizontal position, then velocity of free
end of rod when it become vertical is
(1) ? g (2) ? g 3
(3) ? g 5 (4) Zero
13. If gravitational force between satellite and planet is
directly proportional to r
n
, where r is orbital radius of
satellite, then the time period of satellite is directly
proportional to
(1) r
n – 1
(2)
2
1
1
? n
r
(3)
2
n
r (4)
2
3n
r
14. A body is dropped from a height equal to radius of
earth R. The velocity with which body will strike the
ground is
(1)
Rg 2
(2) gR
(3) gR 2 (4)
2
gR
15. A sheet is with two holes as shown in the figure. On
heating separation between two holes will
A
B
(1) Increase
(2) Decrease
(3) Remains the same
(4) May increase or decrease depends on nature of
material
16. A uniform rod is of radius r, length l and Young's
modulus Y is placed on smooth surface as shown
in the figure. If it is pushed by a horizontal froce F,
then the strain in cylinder is
F
l
(1)
Y r
F
2
2 ?
(2)
Y r
F
2
4 ?
(3)
Y r
F
2
2
?
(4)
Y r
F
2
?
17. An ice block is floating in water in a container with
a metallic ball inside it. When ice will melt,
completely, the level of water
(1) Will rise
(2) Will fall
(3) Remains the same
(4) Depends on amount of ice
(3)
18. A container is on a table of height
2
H
and H is
height of water level in container. What should be
height of a hole A from ground in wall of container for
the maximum range?
H
H/2
A
(1)
2
H
(2)
2
3H
(3)
4
3H
(4) H
19. At constant pressure, the mean free path (?) of a
gas molecule varies with temperature (T) as
(1)
?
T
(2)
?
T
(3)
?
T
(4)
?
T
20. When an ideal monoatomic gas is heated at
constant pressure the fraction of the heat energy
supplied which increases the internal energy of
gas is
(1)
5
3
(2)
3
5
(3)
5
7
(4)
2
5
21. The frequency of first overtone of an open organ pipe
is same as that of a closed organ pipe. If the length
of open organ pipe is l, then length of the closed
organ pipe will be
(1)
2
?
(2)
4
?
(3)
4
3 ?
(4) l
22. For a resonance tube, the air columns for the first
and second resonance differ in length by 31.5 cm.
The wavelength of the sound wave is
(1) 31.5 cm (2) 63.0 cm
(3) 126.0 cm (4) 252.0 cm
23. The time period of a simple pendulum having string
of length l, bob of density ? immersed in a liquid of
density s is
(1)
g
?
? 2 (2)
) (
2
? ? ?
?
?
g
?
(3)
) (
2
? ? ?
?
?
g
?
(4)
) (
2
? ? ?
?
?
g
?
24. Velocity of a longitudinal wave in a medium depends
on
(1) Pressure
(2) Frequency of particle of medium
(3) Amplitude of particle of medium
(4) Humidity
25. A boy is walking away from a wall at a speed of
1 m/s in a direction at right angles to the wall and
he blows a whistle steadily. An observer, toward
whom boy is walking hear 4 beats per second. If the
speed of sound is 340 m/s, then the frequency of the
whistle is (approximately)
(1) 340 Hz (2) 680 Hz
(3) 170 Hz (4) 1360 Hz
26. Which of the following electrostatic lines of force are
possible?
(1) (2)
(3) (4)
27. An electric dipole in non-uniform electric field has
(1) Rotational motion only
(2) Translational motion only
(3) Both rotational and translational
(4) All of these are possible
28. An electron is released on the axis of a positively
charged ring having charge +Q and radius R from
distance of R 3 from centre. The kinetic energy of
electron at the centre is (e is electronic charge)
(1)
R
Qe
0
4 ??
(2)
R
Qe
0
8 ??
(3)
R
Qe
0
2 ??
(4) Zero
(4)
29. Find the net capacitance of the given circuit
CC C C C
(1) 5C (2) 3C
(3)
7
3C
(4)
2
7C
30. If the separation between two isolated charged plates
is increased, then the force between two plates
(1) Increases
(2) Decreases
(3) Remains unchanged
(4) May increases or decreases
31. A cuboidal shaped conductor has dimensions in the
ratio of 1 : 3 : 5. The ratio of maximum to minimum
resistance of conductor is
(1) 1 : 1 (2) 5 : 1
(3) 15 : 1 (4) 25 : 1
32. When the key K is unplugged, how brightness of
bulb B
1
and B
2
changes?
B
3
B
2
B
1
K
(1) Brightness of B
2
increases and brightness of B
1
decreases
(2) Brightness of B
1
is same and brightness of B
2
increases
(3) Brightness of B
1
increases and brightness of B
2
is same
(4) Brightness of both bulbs B
1
and B
2
increases
33. Find the reading of ammeter shown in the circuit
A
6 ? 6 ?
3 ? 3 ?
+ –
5 V
(1) 3 A (2) 1.5 A
(3) 6 A (4) Zero
34. A proton and deutron enter in a region of uniform
magnetic field with equal momenta in the direction
perpendicular to the field. The ratio of radii of circular
path is
(1) 1 : 1 (2) 2 : 1
(3) 4 : 1 (4) 1 : 2
35. The magnetic field at the point O in the given figure is
A
I
B
30°
60°
a
O
(1)
) 1 3 (
8
0
?
?
?
a
I
(2) ) 1 3 (
8
0
?
?
?
a
I
(3) ) 1 3 (
4
0
?
?
?
a
I
(4) Zero
36. A bar magnet of dipole moment M is bent as a part
of circle shown in the figure. The new dipole
moment is
RR
O
R
(1) M (2)
? 5
3M
(3)
? 3
5M
(4)
?
M 2
37. A magnet oscillates with time period T. If magnet is
cut into 16 equal pieces as shown in figure, then the
time period of each piece is
N
S
(1)
16
T
(2)
4
T
(3) 4T (4)
2
T
38. A conductor is moving with velocity v in a region of
uniform magnetic field B. The electric field at P
inside conductor is
×× ×
×× ×
×× ×
v
P
(1) Zero (2) vB
(3)
B
v
(4)
v
B
(5)
39. An electric bulb rated 100 W, 40 V has to be
operated across 50 V, 50 Hz a.c. supply. The
inductance of inductor which should be connected in
the series with the bulb is
(1) H
12 . 0
?
(2) 12 H
(3) 0.12 H (4) H
24 . 0
?
40. In given circuit diagram find the r.m.s voltage across
the resistor R
~
C
R L
EE = sin
0
t
LC
(1) E
0
(2)
2
0
E
(3)
2
0
E
(4) Zero
41. A circular parallel plate capacitor is connected to a
battery. Then which of the following statement is
correct for the region between the plates for steady
state?
+
–
(1) Electric field is zero
(2) Magnetic field is zero
(3) Displacement current exist
(4) Electric flux is changing
42. A plano-convex lens has spherical surface of radius
R. If refractive index of glass is 1.5, the focal length
of the lens is
(1)
2
R
(2) R
(3) 2R (4)
4
R
43. When white light incident on a glass prism, then all
spectra
(1) Comes out from different points
(2) Comes out from the same point
(3) Are not visible after passing through its slab
(4) Travels with the same speed in the slab
44. An electron and photon are moving with same energy
E. The ratio of their wavelength is proportional to
(1) E (2)
E
(3)
E
1
(4)
E
1
45. In a nuclear reaction of a-decay, the daughter nuclei
X
A
Z
is moving with kinetic energy E. The total
energy released is
(1) ) 4 (
4
? A
E
(2) ) (
4
A
E
(3) ) 4 (
4
? A
E
(4) E (A – 4)
46. How many minimum NAND gates are required to
obtained output of NOT gate?
(1) One (2) T wo
(3) Three (4) Four
47. The phase difference between input and output signal
of an amplifier in CE configuration is
(1) 0 (2)
2
?
(3) p (4)
4
?
48. A stationary atom releases a photon of frequency ?.
The recoil speed of atom (where m is the mass of
atom, c is velocity of light and h is Planck's
constant)
(1)
mc
h ?
(2)
? m
hc
(3)
c
hm
?
(4)
2
2
mc
h ?
49. If electrostatic force on electron in atom is
proportional to r
4
, where r is orbital radius; then the
kinetic energy of electron is proportional to
(1) r
8
(2) r
4
(3) r
5
(4) r
2
50. Avalanche breakdown of p-n junction diode is due to
(1) Reverse biasing
(2) Very high electric field
(3) Collision of electron
(4) All of these
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