Allen mock paper 4 for aiims 2018 NEET Notes | EduRev

NEET : Allen mock paper 4 for aiims 2018 NEET Notes | EduRev

 Page 1


Test Type : MAJOR    Test Pattern 
:
 AIIMS
TEST DATE 
:
 14 - 05 - 2018
TEST SYLLABUS : FULL SYLLABUS
Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575    info@allen.ac.in   www.allen.ac.in
Your Target is to secure Good Rank in Pre-Medical 2018
ALL PHASE
ENTHUSIAST, LEADER & ACHIEVER COURSE
CLASSROOM CONTACT PROGRAMME
(Academic Session : 2017 - 2018)
1. A seat marked with Reg. No. will be alloted to each student. The student should ensure that he/she occupies the
correct seat only. If any student is found to have occupied the seat of another student, both the students shall be
removed from the examination and shall have to accept any other penalty imposed upon them.
???? ??? ???????? ???? ?????? ???? ?? ??? ????? ????? ?????? ????? ?? ? ?????? ?? ???? ????? ? ???????? ? ??? ???? ?? ????? ????? ???? ???? ?? ?? ????????? ????????
??? ?????? ??? ????? ????? ???? ???? ???? ???? ???????? ???? ? ???? ???? ??? ??? ? ??? ?? ??? ??? ????? ?????? ????? ???? ???? ???? ????? ? ???? ???????? ???? ??????? ? ??????
2. Duration of Test is 3½ Hours and Questions Paper Contains 200 Questions. The Max.  Marks are 200.
???? ????? ?????? ?3½ ? ??? ????? ?? ?????? ?? ???? ?? ? ?200 ? ?????? ? ?? ????????? ?? ? ?200 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
???????? ??????? ????????????????? ???????? ??? ??????????????? ????? ????????????? ?? ????? ?????? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
???? ???????? ????? ???? ???? ?????????? ??????? ???? ??????? ??????? ??????? ??? ????????? ????? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
??????? ?? ??????? ??? ???????? ???? ????????? ???? ???? ?? ???? ????????????? ?? ??? ?? ?????????? ?? ?
6. Each correct answer carries 1 marks, while one third mark will be deducted from the total of individual subject for
each incorrect answer.
???? ????? ???? ????? ?1 ? ?? ???? ????? ????? ?????? ???????? ?? ?? ????????? ??????????? ???? ???? ?? ?????? ??? ????? ??????????
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Note : In case of any Correction in the test paper, please mail to dlpcorrections@allen.ac.in within 2 days along with Paper code and Your
Form No.
?????? ???? ?? ? ???? ? ?? ? ??? ? ??? ???Correction ???? ???? ?? ???Paper code ? ???? ??????Form No. ??? ????? ?? ?? ?? ??? ?? ?? ?dlpcorrections@allen.ac.in ??? ?mail
?????
*1 00 1C MA 3 05 31 70 31 *
Paper Code
(1001CMA305317031)
Form Number :
Page 2


Test Type : MAJOR    Test Pattern 
:
 AIIMS
TEST DATE 
:
 14 - 05 - 2018
TEST SYLLABUS : FULL SYLLABUS
Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575    info@allen.ac.in   www.allen.ac.in
Your Target is to secure Good Rank in Pre-Medical 2018
ALL PHASE
ENTHUSIAST, LEADER & ACHIEVER COURSE
CLASSROOM CONTACT PROGRAMME
(Academic Session : 2017 - 2018)
1. A seat marked with Reg. No. will be alloted to each student. The student should ensure that he/she occupies the
correct seat only. If any student is found to have occupied the seat of another student, both the students shall be
removed from the examination and shall have to accept any other penalty imposed upon them.
???? ??? ???????? ???? ?????? ???? ?? ??? ????? ????? ?????? ????? ?? ? ?????? ?? ???? ????? ? ???????? ? ??? ???? ?? ????? ????? ???? ???? ?? ?? ????????? ????????
??? ?????? ??? ????? ????? ???? ???? ???? ???? ???????? ???? ? ???? ???? ??? ??? ? ??? ?? ??? ??? ????? ?????? ????? ???? ???? ???? ????? ? ???? ???????? ???? ??????? ? ??????
2. Duration of Test is 3½ Hours and Questions Paper Contains 200 Questions. The Max.  Marks are 200.
???? ????? ?????? ?3½ ? ??? ????? ?? ?????? ?? ???? ?? ? ?200 ? ?????? ? ?? ????????? ?? ? ?200 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
???????? ??????? ????????????????? ???????? ??? ??????????????? ????? ????????????? ?? ????? ?????? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
???? ???????? ????? ???? ???? ?????????? ??????? ???? ??????? ??????? ??????? ??? ????????? ????? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
??????? ?? ??????? ??? ???????? ???? ????????? ???? ???? ?? ???? ????????????? ?? ??? ?? ?????????? ?? ?
6. Each correct answer carries 1 marks, while one third mark will be deducted from the total of individual subject for
each incorrect answer.
???? ????? ???? ????? ?1 ? ?? ???? ????? ????? ?????? ???????? ?? ?? ????????? ??????????? ???? ???? ?? ?????? ??? ????? ??????????
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Note : In case of any Correction in the test paper, please mail to dlpcorrections@allen.ac.in within 2 days along with Paper code and Your
Form No.
?????? ???? ?? ? ???? ? ?? ? ??? ? ??? ???Correction ???? ???? ?? ???Paper code ? ???? ??????Form No. ??? ????? ?? ?? ?? ??? ?? ?? ?dlpcorrections@allen.ac.in ??? ?mail
?????
*1 00 1C MA 3 05 31 70 31 *
Paper Code
(1001CMA305317031)
Form Number :
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
1/ 35 1001 C MA305 3 17 0 31
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. ??? ?? 
ˆ ˆ
n ai bj ? ?
?
 ??? ?? 
? ?
ˆ ˆ
i j ? ??? ?? ????? ?? ? ????a ????
b ?? ??:-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. ???m ??????? ? ??? ??? ?? ?????? ?????? ?? ?? ?????? ??? ? ?????
??????? ?M = 2m ?? ? ??? ??? ?? ??? ???? ????? ?? ??? ????? ?? ?
???? ??????? ??? ? ??? ??????? ?????? ???90° ??? ????? ??? ???
????? ?? ? ???? ????? ? ??? ?m ??????? ? ????? ??? ? ?? ? ??? ??????
?????? ???? ??? ??????? ? ????????-
(1) 15° (2) 30° (3) 45° (4) 60°
3. ???? ???? ?????? ??? ??? ?? ? ???? ? ??? ??? ?????? ???? ?? ? ????? ???? ???
????? ??f ?? ?? ???? ?? ???? ??? ?? ?? ????????? ?? ?? ???? ????? ??
?????? ??? ????? ??????? ? ?? ?? ??? ??? ?? ?????? ??? ????? ????
???? ????? ?? ? ?? :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. ? ?? ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?? ? ? ? ? ? ? ? ?? ? ?? ? ?? ? ?? ?? ? ??? ?? ? ?? ?
? ?? ? ?? ? ?? ?? ? ??P ? ??? ?? ? ?? ?? ? ?? ? ??e
?
 ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ??:
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) ???? ? ????
(2) ?? ?? ? ????
(3) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
(4) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
5. R ?????? ???? ?? ???? ??? ???A ?????B ??? ?? ?? ???? ?? ??????? ???
?? ?? ?? ????? ??? ?? ???? ?? ???? ??? ??????? ???? ??? ?????????
?? ????? ?? ????A ???B ?????????? ?? ??? ??? ?? ???????? ?
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
1. The vector 
ˆ ˆ
n ai bj ? ?
?
 is perpendicular to 
? ?
ˆ ˆ
i j ?
then a and b are :-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. A particle of mass m collides perfectly elastically
with another stationary particle of mass M = 2m.
If the incident particle is deflected by 90°. The
heavy mass will make an angle with the initial
direction of m equal to
(1) 15° (2) 30° (3) 45° (4) 60°
3. A cylindrical tube, open at both ends, has a
fundamental frequency f in air. The tube is dipped
vertically in water so that half of it is in water. The
fundamental frequency of the air column is now :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. A uniform magnetic field but increasing with time
exists in a cylindrical region. The direction of
force on an electron at P is :
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) towards right
(2) towards left
(3) into the plane of paper
(4) out of the plane of paper
5. A frictionless wire is placed between A and B in
a sphere of radius R. A very small spherical ball
slides on this wire. The time taken by ball to slide
from A to B is :
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Page 3


Test Type : MAJOR    Test Pattern 
:
 AIIMS
TEST DATE 
:
 14 - 05 - 2018
TEST SYLLABUS : FULL SYLLABUS
Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575    info@allen.ac.in   www.allen.ac.in
Your Target is to secure Good Rank in Pre-Medical 2018
ALL PHASE
ENTHUSIAST, LEADER & ACHIEVER COURSE
CLASSROOM CONTACT PROGRAMME
(Academic Session : 2017 - 2018)
1. A seat marked with Reg. No. will be alloted to each student. The student should ensure that he/she occupies the
correct seat only. If any student is found to have occupied the seat of another student, both the students shall be
removed from the examination and shall have to accept any other penalty imposed upon them.
???? ??? ???????? ???? ?????? ???? ?? ??? ????? ????? ?????? ????? ?? ? ?????? ?? ???? ????? ? ???????? ? ??? ???? ?? ????? ????? ???? ???? ?? ?? ????????? ????????
??? ?????? ??? ????? ????? ???? ???? ???? ???? ???????? ???? ? ???? ???? ??? ??? ? ??? ?? ??? ??? ????? ?????? ????? ???? ???? ???? ????? ? ???? ???????? ???? ??????? ? ??????
2. Duration of Test is 3½ Hours and Questions Paper Contains 200 Questions. The Max.  Marks are 200.
???? ????? ?????? ?3½ ? ??? ????? ?? ?????? ?? ???? ?? ? ?200 ? ?????? ? ?? ????????? ?? ? ?200 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
???????? ??????? ????????????????? ???????? ??? ??????????????? ????? ????????????? ?? ????? ?????? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
???? ???????? ????? ???? ???? ?????????? ??????? ???? ??????? ??????? ??????? ??? ????????? ????? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
??????? ?? ??????? ??? ???????? ???? ????????? ???? ???? ?? ???? ????????????? ?? ??? ?? ?????????? ?? ?
6. Each correct answer carries 1 marks, while one third mark will be deducted from the total of individual subject for
each incorrect answer.
???? ????? ???? ????? ?1 ? ?? ???? ????? ????? ?????? ???????? ?? ?? ????????? ??????????? ???? ???? ?? ?????? ??? ????? ??????????
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Note : In case of any Correction in the test paper, please mail to dlpcorrections@allen.ac.in within 2 days along with Paper code and Your
Form No.
?????? ???? ?? ? ???? ? ?? ? ??? ? ??? ???Correction ???? ???? ?? ???Paper code ? ???? ??????Form No. ??? ????? ?? ?? ?? ??? ?? ?? ?dlpcorrections@allen.ac.in ??? ?mail
?????
*1 00 1C MA 3 05 31 70 31 *
Paper Code
(1001CMA305317031)
Form Number :
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
1/ 35 1001 C MA305 3 17 0 31
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. ??? ?? 
ˆ ˆ
n ai bj ? ?
?
 ??? ?? 
? ?
ˆ ˆ
i j ? ??? ?? ????? ?? ? ????a ????
b ?? ??:-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. ???m ??????? ? ??? ??? ?? ?????? ?????? ?? ?? ?????? ??? ? ?????
??????? ?M = 2m ?? ? ??? ??? ?? ??? ???? ????? ?? ??? ????? ?? ?
???? ??????? ??? ? ??? ??????? ?????? ???90° ??? ????? ??? ???
????? ?? ? ???? ????? ? ??? ?m ??????? ? ????? ??? ? ?? ? ??? ??????
?????? ???? ??? ??????? ? ????????-
(1) 15° (2) 30° (3) 45° (4) 60°
3. ???? ???? ?????? ??? ??? ?? ? ???? ? ??? ??? ?????? ???? ?? ? ????? ???? ???
????? ??f ?? ?? ???? ?? ???? ??? ?? ?? ????????? ?? ?? ???? ????? ??
?????? ??? ????? ??????? ? ?? ?? ??? ??? ?? ?????? ??? ????? ????
???? ????? ?? ? ?? :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. ? ?? ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?? ? ? ? ? ? ? ? ?? ? ?? ? ?? ? ?? ?? ? ??? ?? ? ?? ?
? ?? ? ?? ? ?? ?? ? ??P ? ??? ?? ? ?? ?? ? ?? ? ??e
?
 ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ??:
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) ???? ? ????
(2) ?? ?? ? ????
(3) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
(4) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
5. R ?????? ???? ?? ???? ??? ???A ?????B ??? ?? ?? ???? ?? ??????? ???
?? ?? ?? ????? ??? ?? ???? ?? ???? ??? ??????? ???? ??? ?????????
?? ????? ?? ????A ???B ?????????? ?? ??? ??? ?? ???????? ?
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
1. The vector 
ˆ ˆ
n ai bj ? ?
?
 is perpendicular to 
? ?
ˆ ˆ
i j ?
then a and b are :-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. A particle of mass m collides perfectly elastically
with another stationary particle of mass M = 2m.
If the incident particle is deflected by 90°. The
heavy mass will make an angle with the initial
direction of m equal to
(1) 15° (2) 30° (3) 45° (4) 60°
3. A cylindrical tube, open at both ends, has a
fundamental frequency f in air. The tube is dipped
vertically in water so that half of it is in water. The
fundamental frequency of the air column is now :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. A uniform magnetic field but increasing with time
exists in a cylindrical region. The direction of
force on an electron at P is :
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) towards right
(2) towards left
(3) into the plane of paper
(4) out of the plane of paper
5. A frictionless wire is placed between A and B in
a sphere of radius R. A very small spherical ball
slides on this wire. The time taken by ball to slide
from A to B is :
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
1001 C MA305 3 17 0 31 2/ 35
Target : Pre-Medical 2018/Major/AIIMS/14-05-2018
6. 10 ??? ?? ??? ??? ??? ? ?? ??? ???? ?? ?? ??? ??? ?? ?? ??? ??? ?? ?? ?
???? ? ???2 ??? ??????? ??? ?? ?? ???? ?? ???? ?? ??? ? ?? ? ??? ??
????? ??? ??? ?? :-
(1) 44 ??? ?
?
??? ??? (2) 4.4 ??? ?
?
??? ???
(3) 440 ??? ?
?
??? ??? (4) 4400 ??? ?
?
??? ???
7. ?????? ?? ???? ???? ? ?? ?? ???? ?? ???? ?? ??????? ?????? ?? ??
????????? ??? ???????????????? ???? ?? ?? ?? ??? ?????? ?? ? ?? ????
?? ?????? ????? :-
(1) ????? ? ?? ? ? ???? ?? ????? ? ?????? ?? ?? ? ? ?? ???? ?? ??
(2) ??? ??? ? ????? ???? ?? ??? ?????? ??? ??? ???? ?? ?? ? ????
??? ?? ?? ?? ?? ? ? ?????
(3) ???? ?? ?? ? ????? ??? ?? ?? ???? ?? ???? ???????? ?? ?? ????? ???
?? ??? ? ?????
(4) ?? ??? ???? ?? ?? ?? ??? ??? ??? ?? ?? ? ???? ???? ? ?? ?
8. ??? ?? ???? ?? ?? ? ?? ?? ??? ? ? ???? ? ?? ? ?? ?? ?? ?? ? ??? ? ? ?? ?
?? ? at ( ?–t) ?? ??? ????? ???? ?? ?? ?? ?? ??? ??? ??? ????R ?? ? ???
?? ?? ?? ?? ???? ?? ????? ????? :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3) 
2 3
2a
3R
?
(4) 
a
3R
?
9. ??? ??? ?? ??? ?? ??? ?????? ??? ???? ??5 ?? ???? ??? ?? ??40 ? ??? ????
??? ??5 ? ?? ???? ?? ??65 ? ???? ????? ?? ?? ??? ?? ??? ??? ??? ???? ???
??? ??
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. ???? ? ? ???? ?? ???? ?? ?? ?? ? ???????? ????1.3×10
–4
 m
2 
?? ?
?? ??? ?? ??? ?? ? ??? ?? ??? ??? ??? ?? ?? ? ? ?? ?? ? ?? ?? ? ??? ? ? ??? ??
[ ? ???? ? ? ?? ? ?? ?? ? ? ?? ? ?? ?? ?? ?? (T) = 3×10
–3
 ? ???? ? ?? ??]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. ????? ?? ??????? ? ??? ??? ???????? ?? ??? ? ????A ???? B ??? ??B
?? ??C ??? ?? ?? ???????? ?? ????? :-
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
6. Water contained in a tank flows through an orifice
of diameter 2 cm, under a constant pressure
difference of 10 cm of water column. The rate of
flow of water through the orifice is :-
(1) 44 cc/sec (2) 4.4 cc/sec
(3) 440 cc/sec (4) 4400 cc/sec
7. The earth is an approximate sphere. If the interior
contained matter which is not of the same density
everywhere, then on the surface of the earth, the
acceleration due to gravity :-
(1) will be directed towards the centre but not the
same everywhere.
(2) will have the same value everywhere but not
directed towards the centre.
(3) will be same every where in magnitude
directed towards the centre
(4) cannot be zero at any point
8. A magnetic flux through a stationary loop with
a resistance R varies during the time interval ?
as ?? ? at ( ?–t). Find the amount of heat generated
in the loop during that time :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3)
2 3
2a
3R
?
(4) 
a
3R
?
9. A body is moving with uniform acceleration
describes 40 m in the first 5 sec and 65 m in next
5 sec. Its initial velocity will be
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. Surface area of a soap bubble is 1.3×10
–4
 m
2
. The
work done to double the surface area will be :
[surface tension (T) for soap solution=3×10
–3
 N/m]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. In the figure below, what is the potential
difference between the point A and B and between
B and C respectively in steady state
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
Page 4


Test Type : MAJOR    Test Pattern 
:
 AIIMS
TEST DATE 
:
 14 - 05 - 2018
TEST SYLLABUS : FULL SYLLABUS
Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575    info@allen.ac.in   www.allen.ac.in
Your Target is to secure Good Rank in Pre-Medical 2018
ALL PHASE
ENTHUSIAST, LEADER & ACHIEVER COURSE
CLASSROOM CONTACT PROGRAMME
(Academic Session : 2017 - 2018)
1. A seat marked with Reg. No. will be alloted to each student. The student should ensure that he/she occupies the
correct seat only. If any student is found to have occupied the seat of another student, both the students shall be
removed from the examination and shall have to accept any other penalty imposed upon them.
???? ??? ???????? ???? ?????? ???? ?? ??? ????? ????? ?????? ????? ?? ? ?????? ?? ???? ????? ? ???????? ? ??? ???? ?? ????? ????? ???? ???? ?? ?? ????????? ????????
??? ?????? ??? ????? ????? ???? ???? ???? ???? ???????? ???? ? ???? ???? ??? ??? ? ??? ?? ??? ??? ????? ?????? ????? ???? ???? ???? ????? ? ???? ???????? ???? ??????? ? ??????
2. Duration of Test is 3½ Hours and Questions Paper Contains 200 Questions. The Max.  Marks are 200.
???? ????? ?????? ?3½ ? ??? ????? ?? ?????? ?? ???? ?? ? ?200 ? ?????? ? ?? ????????? ?? ? ?200 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
???????? ??????? ????????????????? ???????? ??? ??????????????? ????? ????????????? ?? ????? ?????? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
???? ???????? ????? ???? ???? ?????????? ??????? ???? ??????? ??????? ??????? ??? ????????? ????? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
??????? ?? ??????? ??? ???????? ???? ????????? ???? ???? ?? ???? ????????????? ?? ??? ?? ?????????? ?? ?
6. Each correct answer carries 1 marks, while one third mark will be deducted from the total of individual subject for
each incorrect answer.
???? ????? ???? ????? ?1 ? ?? ???? ????? ????? ?????? ???????? ?? ?? ????????? ??????????? ???? ???? ?? ?????? ??? ????? ??????????
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Note : In case of any Correction in the test paper, please mail to dlpcorrections@allen.ac.in within 2 days along with Paper code and Your
Form No.
?????? ???? ?? ? ???? ? ?? ? ??? ? ??? ???Correction ???? ???? ?? ???Paper code ? ???? ??????Form No. ??? ????? ?? ?? ?? ??? ?? ?? ?dlpcorrections@allen.ac.in ??? ?mail
?????
*1 00 1C MA 3 05 31 70 31 *
Paper Code
(1001CMA305317031)
Form Number :
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
1/ 35 1001 C MA305 3 17 0 31
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. ??? ?? 
ˆ ˆ
n ai bj ? ?
?
 ??? ?? 
? ?
ˆ ˆ
i j ? ??? ?? ????? ?? ? ????a ????
b ?? ??:-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. ???m ??????? ? ??? ??? ?? ?????? ?????? ?? ?? ?????? ??? ? ?????
??????? ?M = 2m ?? ? ??? ??? ?? ??? ???? ????? ?? ??? ????? ?? ?
???? ??????? ??? ? ??? ??????? ?????? ???90° ??? ????? ??? ???
????? ?? ? ???? ????? ? ??? ?m ??????? ? ????? ??? ? ?? ? ??? ??????
?????? ???? ??? ??????? ? ????????-
(1) 15° (2) 30° (3) 45° (4) 60°
3. ???? ???? ?????? ??? ??? ?? ? ???? ? ??? ??? ?????? ???? ?? ? ????? ???? ???
????? ??f ?? ?? ???? ?? ???? ??? ?? ?? ????????? ?? ?? ???? ????? ??
?????? ??? ????? ??????? ? ?? ?? ??? ??? ?? ?????? ??? ????? ????
???? ????? ?? ? ?? :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. ? ?? ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?? ? ? ? ? ? ? ? ?? ? ?? ? ?? ? ?? ?? ? ??? ?? ? ?? ?
? ?? ? ?? ? ?? ?? ? ??P ? ??? ?? ? ?? ?? ? ?? ? ??e
?
 ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ??:
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) ???? ? ????
(2) ?? ?? ? ????
(3) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
(4) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
5. R ?????? ???? ?? ???? ??? ???A ?????B ??? ?? ?? ???? ?? ??????? ???
?? ?? ?? ????? ??? ?? ???? ?? ???? ??? ??????? ???? ??? ?????????
?? ????? ?? ????A ???B ?????????? ?? ??? ??? ?? ???????? ?
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
1. The vector 
ˆ ˆ
n ai bj ? ?
?
 is perpendicular to 
? ?
ˆ ˆ
i j ?
then a and b are :-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. A particle of mass m collides perfectly elastically
with another stationary particle of mass M = 2m.
If the incident particle is deflected by 90°. The
heavy mass will make an angle with the initial
direction of m equal to
(1) 15° (2) 30° (3) 45° (4) 60°
3. A cylindrical tube, open at both ends, has a
fundamental frequency f in air. The tube is dipped
vertically in water so that half of it is in water. The
fundamental frequency of the air column is now :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. A uniform magnetic field but increasing with time
exists in a cylindrical region. The direction of
force on an electron at P is :
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) towards right
(2) towards left
(3) into the plane of paper
(4) out of the plane of paper
5. A frictionless wire is placed between A and B in
a sphere of radius R. A very small spherical ball
slides on this wire. The time taken by ball to slide
from A to B is :
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
1001 C MA305 3 17 0 31 2/ 35
Target : Pre-Medical 2018/Major/AIIMS/14-05-2018
6. 10 ??? ?? ??? ??? ??? ? ?? ??? ???? ?? ?? ??? ??? ?? ?? ??? ??? ?? ?? ?
???? ? ???2 ??? ??????? ??? ?? ?? ???? ?? ???? ?? ??? ? ?? ? ??? ??
????? ??? ??? ?? :-
(1) 44 ??? ?
?
??? ??? (2) 4.4 ??? ?
?
??? ???
(3) 440 ??? ?
?
??? ??? (4) 4400 ??? ?
?
??? ???
7. ?????? ?? ???? ???? ? ?? ?? ???? ?? ???? ?? ??????? ?????? ?? ??
????????? ??? ???????????????? ???? ?? ?? ?? ??? ?????? ?? ? ?? ????
?? ?????? ????? :-
(1) ????? ? ?? ? ? ???? ?? ????? ? ?????? ?? ?? ? ? ?? ???? ?? ??
(2) ??? ??? ? ????? ???? ?? ??? ?????? ??? ??? ???? ?? ?? ? ????
??? ?? ?? ?? ?? ? ? ?????
(3) ???? ?? ?? ? ????? ??? ?? ?? ???? ?? ???? ???????? ?? ?? ????? ???
?? ??? ? ?????
(4) ?? ??? ???? ?? ?? ?? ??? ??? ??? ?? ?? ? ???? ???? ? ?? ?
8. ??? ?? ???? ?? ?? ? ?? ?? ??? ? ? ???? ? ?? ? ?? ?? ?? ?? ? ??? ? ? ?? ?
?? ? at ( ?–t) ?? ??? ????? ???? ?? ?? ?? ?? ??? ??? ??? ????R ?? ? ???
?? ?? ?? ?? ???? ?? ????? ????? :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3) 
2 3
2a
3R
?
(4) 
a
3R
?
9. ??? ??? ?? ??? ?? ??? ?????? ??? ???? ??5 ?? ???? ??? ?? ??40 ? ??? ????
??? ??5 ? ?? ???? ?? ??65 ? ???? ????? ?? ?? ??? ?? ??? ??? ??? ???? ???
??? ??
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. ???? ? ? ???? ?? ???? ?? ?? ?? ? ???????? ????1.3×10
–4
 m
2 
?? ?
?? ??? ?? ??? ?? ? ??? ?? ??? ??? ??? ?? ?? ? ? ?? ?? ? ?? ?? ? ??? ? ? ??? ??
[ ? ???? ? ? ?? ? ?? ?? ? ? ?? ? ?? ?? ?? ?? (T) = 3×10
–3
 ? ???? ? ?? ??]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. ????? ?? ??????? ? ??? ??? ???????? ?? ??? ? ????A ???? B ??? ??B
?? ??C ??? ?? ?? ???????? ?? ????? :-
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
6. Water contained in a tank flows through an orifice
of diameter 2 cm, under a constant pressure
difference of 10 cm of water column. The rate of
flow of water through the orifice is :-
(1) 44 cc/sec (2) 4.4 cc/sec
(3) 440 cc/sec (4) 4400 cc/sec
7. The earth is an approximate sphere. If the interior
contained matter which is not of the same density
everywhere, then on the surface of the earth, the
acceleration due to gravity :-
(1) will be directed towards the centre but not the
same everywhere.
(2) will have the same value everywhere but not
directed towards the centre.
(3) will be same every where in magnitude
directed towards the centre
(4) cannot be zero at any point
8. A magnetic flux through a stationary loop with
a resistance R varies during the time interval ?
as ?? ? at ( ?–t). Find the amount of heat generated
in the loop during that time :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3)
2 3
2a
3R
?
(4) 
a
3R
?
9. A body is moving with uniform acceleration
describes 40 m in the first 5 sec and 65 m in next
5 sec. Its initial velocity will be
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. Surface area of a soap bubble is 1.3×10
–4
 m
2
. The
work done to double the surface area will be :
[surface tension (T) for soap solution=3×10
–3
 N/m]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. In the figure below, what is the potential
difference between the point A and B and between
B and C respectively in steady state
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
3/ 35 1001 C MA305 3 17 0 31
12. ?????? ??? ?? ??? ??????? ?? ? ??? ?? ?? ? ????? ?????? ? ?? ? ??? ?? ?
??? ?? ?? ?? ??? ????? ???? ?? ?
(1) ???? ?? ?? ??? ? ???? ? ?? ? ????????? ? ??? ? ?? ??
(2) ???? ?? ?? ??? ? ???? ? ?? ? ????????? ? ??? ? ?? ??
(3) ???? ? ????????? ? ??? ?? ?? ?? ??? ?? ? ? ??? ? ????? ??
(4) ???? ?? ?? ?? ??? ??? ??? ??? ? ???? ????? ??? ?? ???? ???? ? ? ??
13. ? ? ?8 kg ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?12 kg ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ?2.2 m s
–2
 ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ??
? ? ? ? ? ? ? ? ?T
1
 ? T
2
 ? ? ? ? ? ? ? ? ? ? ? ? :
( ? ? ? ? ??? ?g = 9.8m/s
2
 )
(1) 200 N,  80 N (2) 220 N,  90 N
(3) 240 N, 96 N (4) 260 N,  96 N
14. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ?
1
 ? ? ? ? ? ?
2
 ? ? ? ?? ? ? ? ?? ? ? ? ?? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ?
1
 ? ? ? ? ? ?
2
 ? ? ? ? ? ? ? ? ?( ?
2
 – ?
1
) ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??
(1) ?
1
?
2
 = ?
2
?
1
(2) ?
1
?
2
2
 = ?
2
?
1
2
(3) ?
1
2
?
2
  = ?
2
2
?
1
(4)  ?
1
?
1
 = ?
2
?
2
15. Y- ???? ? ?? ???? ?? ? ?? ???? ??? ????–q ?? ?? ? ???? ?(0, a) ????
(0, –a) ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? 'q' ? ? ? ? x- ? ? ? ? ? ?
?? ? ???(x << a) ??? ?? ???? ??? ? ???? ?? ? ? ? ? ???? ? ?? ???? ?? ?? ??? ??
?????:-
(1) 
? ?
2
3
0
q
4 ma
(2) 
2
3
0
4q
2 ma ? ?
(3) 
2
3
0
q
2 ma ? ?
(4) 
2
3
0
q
ma ? ?
12. Which of the following is true about the frequency
and wavelength of EM wave ?
(1) As frequency increases, wavelength increases
(2) As frequency increases, wavelength decreases
(3) Frequency is constant for all wavelength
(4) Frequency and wavelength are independent of
each other
13. A body of mass 8 kg is hanging from another body
of mass 12 kg. The combination is being pulled
by a string with an acceleration of 2.2 m s
–2
.
The tension T
1
 and T
2
 will be respectively:
(use g = 9.8m/s
2
 )
(1) 200 N,  80 N (2) 220 N,  90 N
(3) 240 N, 96 N (4) 260 N,  96 N
14. Coefficient of linear expansion of brass and steel
rods are ?
1
 and ?
2
. Lengths of brass and steel rods
are ?
1
 and ?
2
 respectively. If ( ?
2
 – ?
1
) is maintained
same at all temperatures, which one of the
following relations holds good ?
(1) ?
1
?
2
 = ?
2
?
1
(2) ?
1
?
2
2
 = ?
2
?
1
2
(3) ?
1
2
?
2
  = ?
2
2
?
1
(4)  ?
1
?
1
 = ?
2
?
2
15. Two equal negative charges –q are fixed at points
(0, a) and (0, –a) on the y-axis. A positive charge
'q' is released from rest at the point (x << a) on
the x-axis. What is the angular frequency of
oscillation :-
(1) 
? ?
2
3
0
q
4 ma
(2) 
2
3
0
4q
2 ma ? ?
(3) 
2
3
0
q
2 ma ? ?
(4) 
2
3
0
q
ma ? ?
Page 5


Test Type : MAJOR    Test Pattern 
:
 AIIMS
TEST DATE 
:
 14 - 05 - 2018
TEST SYLLABUS : FULL SYLLABUS
Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575    info@allen.ac.in   www.allen.ac.in
Your Target is to secure Good Rank in Pre-Medical 2018
ALL PHASE
ENTHUSIAST, LEADER & ACHIEVER COURSE
CLASSROOM CONTACT PROGRAMME
(Academic Session : 2017 - 2018)
1. A seat marked with Reg. No. will be alloted to each student. The student should ensure that he/she occupies the
correct seat only. If any student is found to have occupied the seat of another student, both the students shall be
removed from the examination and shall have to accept any other penalty imposed upon them.
???? ??? ???????? ???? ?????? ???? ?? ??? ????? ????? ?????? ????? ?? ? ?????? ?? ???? ????? ? ???????? ? ??? ???? ?? ????? ????? ???? ???? ?? ?? ????????? ????????
??? ?????? ??? ????? ????? ???? ???? ???? ???? ???????? ???? ? ???? ???? ??? ??? ? ??? ?? ??? ??? ????? ?????? ????? ???? ???? ???? ????? ? ???? ???????? ???? ??????? ? ??????
2. Duration of Test is 3½ Hours and Questions Paper Contains 200 Questions. The Max.  Marks are 200.
???? ????? ?????? ?3½ ? ??? ????? ?? ?????? ?? ???? ?? ? ?200 ? ?????? ? ?? ????????? ?? ? ?200 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
???????? ??????? ????????????????? ???????? ??? ??????????????? ????? ????????????? ?? ????? ?????? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
???? ???????? ????? ???? ???? ?????????? ??????? ???? ??????? ??????? ??????? ??? ????????? ????? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
??????? ?? ??????? ??? ???????? ???? ????????? ???? ???? ?? ???? ????????????? ?? ??? ?? ?????????? ?? ?
6. Each correct answer carries 1 marks, while one third mark will be deducted from the total of individual subject for
each incorrect answer.
???? ????? ???? ????? ?1 ? ?? ???? ????? ????? ?????? ???????? ?? ?? ????????? ??????????? ???? ???? ?? ?????? ??? ????? ??????????
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Note : In case of any Correction in the test paper, please mail to dlpcorrections@allen.ac.in within 2 days along with Paper code and Your
Form No.
?????? ???? ?? ? ???? ? ?? ? ??? ? ??? ???Correction ???? ???? ?? ???Paper code ? ???? ??????Form No. ??? ????? ?? ?? ?? ??? ?? ?? ?dlpcorrections@allen.ac.in ??? ?mail
?????
*1 00 1C MA 3 05 31 70 31 *
Paper Code
(1001CMA305317031)
Form Number :
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
1/ 35 1001 C MA305 3 17 0 31
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. ??? ?? 
ˆ ˆ
n ai bj ? ?
?
 ??? ?? 
? ?
ˆ ˆ
i j ? ??? ?? ????? ?? ? ????a ????
b ?? ??:-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. ???m ??????? ? ??? ??? ?? ?????? ?????? ?? ?? ?????? ??? ? ?????
??????? ?M = 2m ?? ? ??? ??? ?? ??? ???? ????? ?? ??? ????? ?? ?
???? ??????? ??? ? ??? ??????? ?????? ???90° ??? ????? ??? ???
????? ?? ? ???? ????? ? ??? ?m ??????? ? ????? ??? ? ?? ? ??? ??????
?????? ???? ??? ??????? ? ????????-
(1) 15° (2) 30° (3) 45° (4) 60°
3. ???? ???? ?????? ??? ??? ?? ? ???? ? ??? ??? ?????? ???? ?? ? ????? ???? ???
????? ??f ?? ?? ???? ?? ???? ??? ?? ?? ????????? ?? ?? ???? ????? ??
?????? ??? ????? ??????? ? ?? ?? ??? ??? ?? ?????? ??? ????? ????
???? ????? ?? ? ?? :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. ? ?? ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?? ? ? ? ? ? ? ? ?? ? ?? ? ?? ? ?? ?? ? ??? ?? ? ?? ?
? ?? ? ?? ? ?? ?? ? ??P ? ??? ?? ? ?? ?? ? ?? ? ??e
?
 ? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ??:
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) ???? ? ????
(2) ?? ?? ? ????
(3) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
(4) ????? ??? ??? ??? ??????? ?? ??? ?? ? ????
5. R ?????? ???? ?? ???? ??? ???A ?????B ??? ?? ?? ???? ?? ??????? ???
?? ?? ?? ????? ??? ?? ???? ?? ???? ??? ??????? ???? ??? ?????????
?? ????? ?? ????A ???B ?????????? ?? ??? ??? ?? ???????? ?
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
1. The vector 
ˆ ˆ
n ai bj ? ?
?
 is perpendicular to 
? ?
ˆ ˆ
i j ?
then a and b are :-
(1) 1, 0 (2) –2, 0
(3) 3, 0 (4) 
1 1
,
2 2
?
2. A particle of mass m collides perfectly elastically
with another stationary particle of mass M = 2m.
If the incident particle is deflected by 90°. The
heavy mass will make an angle with the initial
direction of m equal to
(1) 15° (2) 30° (3) 45° (4) 60°
3. A cylindrical tube, open at both ends, has a
fundamental frequency f in air. The tube is dipped
vertically in water so that half of it is in water. The
fundamental frequency of the air column is now :-
(1) f/2 (2) 3f/4 (3) f (4) 2f
4. A uniform magnetic field but increasing with time
exists in a cylindrical region. The direction of
force on an electron at P is :
x x x x x x x x x
x x x x x x x x
x x x x x x x
x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x
x x x
x
x
P
(1) towards right
(2) towards left
(3) into the plane of paper
(4) out of the plane of paper
5. A frictionless wire is placed between A and B in
a sphere of radius R. A very small spherical ball
slides on this wire. The time taken by ball to slide
from A to B is :
(1) 
? cos g
gR 2
                
B
R
O
A
?
C
(2) 
g
cos
. gR 2
?
(3) 
g
R
2
(4) 
? cos g
gR
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
1001 C MA305 3 17 0 31 2/ 35
Target : Pre-Medical 2018/Major/AIIMS/14-05-2018
6. 10 ??? ?? ??? ??? ??? ? ?? ??? ???? ?? ?? ??? ??? ?? ?? ??? ??? ?? ?? ?
???? ? ???2 ??? ??????? ??? ?? ?? ???? ?? ???? ?? ??? ? ?? ? ??? ??
????? ??? ??? ?? :-
(1) 44 ??? ?
?
??? ??? (2) 4.4 ??? ?
?
??? ???
(3) 440 ??? ?
?
??? ??? (4) 4400 ??? ?
?
??? ???
7. ?????? ?? ???? ???? ? ?? ?? ???? ?? ???? ?? ??????? ?????? ?? ??
????????? ??? ???????????????? ???? ?? ?? ?? ??? ?????? ?? ? ?? ????
?? ?????? ????? :-
(1) ????? ? ?? ? ? ???? ?? ????? ? ?????? ?? ?? ? ? ?? ???? ?? ??
(2) ??? ??? ? ????? ???? ?? ??? ?????? ??? ??? ???? ?? ?? ? ????
??? ?? ?? ?? ?? ? ? ?????
(3) ???? ?? ?? ? ????? ??? ?? ?? ???? ?? ???? ???????? ?? ?? ????? ???
?? ??? ? ?????
(4) ?? ??? ???? ?? ?? ?? ??? ??? ??? ?? ?? ? ???? ???? ? ?? ?
8. ??? ?? ???? ?? ?? ? ?? ?? ??? ? ? ???? ? ?? ? ?? ?? ?? ?? ? ??? ? ? ?? ?
?? ? at ( ?–t) ?? ??? ????? ???? ?? ?? ?? ?? ??? ??? ??? ????R ?? ? ???
?? ?? ?? ?? ???? ?? ????? ????? :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3) 
2 3
2a
3R
?
(4) 
a
3R
?
9. ??? ??? ?? ??? ?? ??? ?????? ??? ???? ??5 ?? ???? ??? ?? ??40 ? ??? ????
??? ??5 ? ?? ???? ?? ??65 ? ???? ????? ?? ?? ??? ?? ??? ??? ??? ???? ???
??? ??
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. ???? ? ? ???? ?? ???? ?? ?? ?? ? ???????? ????1.3×10
–4
 m
2 
?? ?
?? ??? ?? ??? ?? ? ??? ?? ??? ??? ??? ?? ?? ? ? ?? ?? ? ?? ?? ? ??? ? ? ??? ??
[ ? ???? ? ? ?? ? ?? ?? ? ? ?? ? ?? ?? ?? ?? (T) = 3×10
–3
 ? ???? ? ?? ??]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. ????? ?? ??????? ? ??? ??? ???????? ?? ??? ? ????A ???? B ??? ??B
?? ??C ??? ?? ?? ???????? ?? ????? :-
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
6. Water contained in a tank flows through an orifice
of diameter 2 cm, under a constant pressure
difference of 10 cm of water column. The rate of
flow of water through the orifice is :-
(1) 44 cc/sec (2) 4.4 cc/sec
(3) 440 cc/sec (4) 4400 cc/sec
7. The earth is an approximate sphere. If the interior
contained matter which is not of the same density
everywhere, then on the surface of the earth, the
acceleration due to gravity :-
(1) will be directed towards the centre but not the
same everywhere.
(2) will have the same value everywhere but not
directed towards the centre.
(3) will be same every where in magnitude
directed towards the centre
(4) cannot be zero at any point
8. A magnetic flux through a stationary loop with
a resistance R varies during the time interval ?
as ?? ? at ( ?–t). Find the amount of heat generated
in the loop during that time :
(1) 
2
a
2R
?
(2) 
2 3
a
3R
?
(3)
2 3
2a
3R
?
(4) 
a
3R
?
9. A body is moving with uniform acceleration
describes 40 m in the first 5 sec and 65 m in next
5 sec. Its initial velocity will be
(1) 4 m/s (2) 2.5 m/s
(3) 5.5 m/s (4) 11 m/s
10. Surface area of a soap bubble is 1.3×10
–4
 m
2
. The
work done to double the surface area will be :
[surface tension (T) for soap solution=3×10
–3
 N/m]:-
(1) 7.8 × 10
–7
 joule (2) 3 × 10
–7
 joule
(3) 2.6 × 10
–4
 joule (4) 2.3 × 10
1
 joule
11. In the figure below, what is the potential
difference between the point A and B and between
B and C respectively in steady state
A C
100V
10 ?
1µF
3µF
3µF
B
1µF
1µF
20 ?
(1) V
AB
 = V
BC
 = 100 V
(2) V
AB
 = 75 V, V
BC
 = 25 V
(3) V
AB
 = 25 V, V
BC
 = 75 V
(4) V
AB
 = V
BC
 = 50 V
Enthusiast, Leader & Achiever Course/Phase-All/14-05-2018
3/ 35 1001 C MA305 3 17 0 31
12. ?????? ??? ?? ??? ??????? ?? ? ??? ?? ?? ? ????? ?????? ? ?? ? ??? ?? ?
??? ?? ?? ?? ??? ????? ???? ?? ?
(1) ???? ?? ?? ??? ? ???? ? ?? ? ????????? ? ??? ? ?? ??
(2) ???? ?? ?? ??? ? ???? ? ?? ? ????????? ? ??? ? ?? ??
(3) ???? ? ????????? ? ??? ?? ?? ?? ??? ?? ? ? ??? ? ????? ??
(4) ???? ?? ?? ?? ??? ??? ??? ??? ? ???? ????? ??? ?? ???? ???? ? ? ??
13. ? ? ?8 kg ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ?12 kg ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ?2.2 m s
–2
 ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ??
? ? ? ? ? ? ? ? ?T
1
 ? T
2
 ? ? ? ? ? ? ? ? ? ? ? ? :
( ? ? ? ? ??? ?g = 9.8m/s
2
 )
(1) 200 N,  80 N (2) 220 N,  90 N
(3) 240 N, 96 N (4) 260 N,  96 N
14. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ?
1
 ? ? ? ? ? ?
2
 ? ? ? ?? ? ? ? ?? ? ? ? ?? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ?
1
 ? ? ? ? ? ?
2
 ? ? ? ? ? ? ? ? ?( ?
2
 – ?
1
) ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??
(1) ?
1
?
2
 = ?
2
?
1
(2) ?
1
?
2
2
 = ?
2
?
1
2
(3) ?
1
2
?
2
  = ?
2
2
?
1
(4)  ?
1
?
1
 = ?
2
?
2
15. Y- ???? ? ?? ???? ?? ? ?? ???? ??? ????–q ?? ?? ? ???? ?(0, a) ????
(0, –a) ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? 'q' ? ? ? ? x- ? ? ? ? ? ?
?? ? ???(x << a) ??? ?? ???? ??? ? ???? ?? ? ? ? ? ???? ? ?? ???? ?? ?? ??? ??
?????:-
(1) 
? ?
2
3
0
q
4 ma
(2) 
2
3
0
4q
2 ma ? ?
(3) 
2
3
0
q
2 ma ? ?
(4) 
2
3
0
q
ma ? ?
12. Which of the following is true about the frequency
and wavelength of EM wave ?
(1) As frequency increases, wavelength increases
(2) As frequency increases, wavelength decreases
(3) Frequency is constant for all wavelength
(4) Frequency and wavelength are independent of
each other
13. A body of mass 8 kg is hanging from another body
of mass 12 kg. The combination is being pulled
by a string with an acceleration of 2.2 m s
–2
.
The tension T
1
 and T
2
 will be respectively:
(use g = 9.8m/s
2
 )
(1) 200 N,  80 N (2) 220 N,  90 N
(3) 240 N, 96 N (4) 260 N,  96 N
14. Coefficient of linear expansion of brass and steel
rods are ?
1
 and ?
2
. Lengths of brass and steel rods
are ?
1
 and ?
2
 respectively. If ( ?
2
 – ?
1
) is maintained
same at all temperatures, which one of the
following relations holds good ?
(1) ?
1
?
2
 = ?
2
?
1
(2) ?
1
?
2
2
 = ?
2
?
1
2
(3) ?
1
2
?
2
  = ?
2
2
?
1
(4)  ?
1
?
1
 = ?
2
?
2
15. Two equal negative charges –q are fixed at points
(0, a) and (0, –a) on the y-axis. A positive charge
'q' is released from rest at the point (x << a) on
the x-axis. What is the angular frequency of
oscillation :-
(1) 
? ?
2
3
0
q
4 ma
(2) 
2
3
0
4q
2 ma ? ?
(3) 
2
3
0
q
2 ma ? ?
(4) 
2
3
0
q
ma ? ?
1001 C MA305 3 17 0 31 4/ 35
Target : Pre-Medical 2018/Major/AIIMS/14-05-2018
16. A small air bubble in a glass sphere of radius
2 cm appears to be 1 cm from the surface when
looked at along a diameter. If the refractive index
of glass is 1.5, find the true position of the air
bubble :
(1) 1.2 cm (2) 0.75 cm
(3) 3 cm (4) 4 cm
17. A block is dragged on smooth plane with the
help of a rope which moves with velocity v.
The horizontal velocity of the block is :
/ // / //// / // / //// / // / //// / // /
m
// // ////// // ///// /
v
?
(1) v (2) 
? s i n
v
(3) v sin ? (4) 
? co s
v
18. Three dics A,B and C having radii 2m, 4m and
6m respectively are coated with carbon black on
their other surfaces. The wavelength
corresponding to maximum intensity are 300nm,
400nm and 500 nm, respectively. The power
radiated by them are Q
a
, Q
b
 and Q
c 
respectively
(1) Q
a
 is maximum (2) Q
b
 is maximum
(3) Q
c
 us maximum (4) Q
a
 = Q
b
 = Q
c
19. The figure gives the electric potential V as a
function of distance through five regions on
x-axis. Which of the following is true for the
electric field E in these regions-
1 2 3 4 5
x
V
(1) E
1
 > E
2
 > E
3
 > E
4
 > E
5
(2) E
1
 = E
3
 = E
5
 and E
2
 < E
4
(3) E
2
 = E
4
 = E
5
 and E
1
 < E
3
(4) E
1
 < E
2
 < E
3
 < E
4
 < E
5
16. 2 ??? ?? ?????? ?? ? ??? ?? ??? ???? ?? ?? ? ? ?????? ? ??? ? ??? ???? ?? ?
????? ??? ????? ??? ????? ?? ??? ?? ? ? ???1 ??? ?? ? ?? ????? ??? ? ????? ?
??? ?? ? ? ?? ???? ????? ??? ???? ? ?????1.5 ?? ??? ? ??? ????? ??? ? ?? ?? ??
?? ? ???????? ????? ?? ??????
(1) 1.2 cm (2) 0.75 cm
(3) 3 cm (4) 4 cm
17. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?v ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ?
? ? ? ? ? ? ?
/ // / //// / // / //// / // / //// / // /
m
// // ////// // ///// /
v
?
(1) v (2) 
? s i n
v
(3) v sin ? (4) 
? cos
v
18. ???? ?? ?? ??? ?? ??? ?????A,B, ?? ??C ? ???? ?? ????????? ??? ??
2m, 4m ?? ??6m ?? ??? ? ?? ????? ?? ? ? ??? ??? ??? ? ???? ??
????? ???? ?? ?? ??? ?????? ???? ???????? ?? ?? ? ?? ?????? ?????
??????? ??? ?? ????? ?? ???300nm, 400nm ?? ??500nm ??
?? ?? ? ?? ?? ???? ? ?? ???? ?? ??? ??? ? ?? ????Q
a
, Q
b
 ?? ??Q
c
?? ?? ? ??? :-
(1) Q
a
 ?? ?? ?? ?? (2) Q
b
 ?? ?? ?? ??
(3) Q
c
 ?? ?? ?? ?? (4) Q
a
 = Q
b
 = Q
c
19. ??? ??? ??? ?? ?? ?? ????V ???x- ???? ? ?? ??? ?? ??? ????? ?? ?? ? ??? ? ??
????? ???????? ? ???? ??? ?? ?? ?? ?? ??? ? ??????? ?? ?? ?????? ? ????E ??
?? ?? ???? ???? ??-
1 2 3 4 5
x
V
(1) E
1
 > E
2
 > E
3
 > E
4
 > E
5
(2) E
1
 = E
3
 = E
5
 and E
2
 < E
4
(3) E
2
 = E
4
 = E
5
 and E
1
 < E
3
(4) E
1
 < E
2
 < E
3
 < E
4
 < E
5
Read More
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