FULL TEST – I Paper 2

Question Paper 24 Pages

Joint Entrance Examination (Advanced)

Miscellaneous

ZWM

Contributed by

Zara Wahid More

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com

FULL TEST – I

Paper 2

Time Allotted: 3 Hours Maximum Marks: 243


Please read the instructions carefully. You are allotted 5 minutes
specifically for this purpose.
 You are not allowed to leave the Examination Hall before the end of
the test.

INSTRUCTIONS

A. General Instructions
1. Attempt ALL the questions. Answers have to be marked on the OMR sheets.
2. This question paper contains Three Parts.
3. Part-I is Physics, Part-II is Chemistry and Part-III is Mathematics.
4. Each part is further divided into two sections: Section-A & Section-B
5. Rough spaces are provided for rough work inside the question paper. No additional sheets will be
provided for rough work.
6. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic
devices, in any form, are not allowed.

B. Filling of OMR Sheet
1. Ensure matching of OMR sheet with the Question paper before you start marking your answers
on OMR sheet.
2. On the OMR sheet, darken the appropriate bubble with black pen for each character of your
Enrolment No. and write your Name, Test Centre and other details at the designated places.
3. OMR sheet contains alphabets, numerals & special characters for marking answers.

C. Marking Scheme For All Three Parts.

(i) Section-A (01 to 09) contains 09 multiple choice questions which have only one correct answer.
Each question carries +3 marks for correct answer and – 1 mark for wrong answer.

Section-A (10 – 13) contains 4 Assertion-Reasoning (multiple choice questions) which have
only one correct answer. Each question carries +3 marks for correct answer and

– 1 mark for wrong answer.

Section-A (14 – 19) contains 2 paragraphs. Based upon paragraph, 3 multiple choice questions
have to be answered. Each question has only one correct answer and carries +4 marks for
correct answer and – 1 mark for wrong answer.

(ii) Section-B (1 – 03) contains 3 Matrix Match Type (4 × 4 Matrix) questions containing statements
given in 2 columns. Statements in the first column have to be matched with statements in the
second column. Each question carries +6 marks for all correct answer. There is no negative
marking.

Name of the Candidate

Enrolment No.

ALL INDIA TEST SERIES

FIITJEE

JEE (Advanced), 2014

From Classroom/Integrated School Programs 7 in Top 20, 23 in Top 100, 54 in Top 300, 106 in Top 500 All India Ranks & 2314 Students from Classroom
/Integrated School Programs & 3723 Students from All Programs have been Awarded a Rank in JEE (Advanced), 2013
Page 1
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
2

Useful Data

PHYSICS
Acceleration due to gravity g = 10 m/s
2

Planck constant h = 6.6 10

34
J-s
Charge of electron e = 1.6  10

19
C
Mass of electron m
e
= 9.1  10

31
kg
Permittivity of free space 
0
= 8.85  10

12
C
2
/N-m
2
Density of water 
water
= 10
3
kg/m
3

Atmospheric pressure P
a
= 10
5
N/m
2

Gas constant R = 8.314 J K

1
mol

1
CHEMISTRY

Gas Constant R = 8.314 J K

1
mol

1

= 0.0821 Lit atm K

1
mol

1

= 1.987  2 Cal K

1
mol

1

Avogadro's Number N
a
= 6.023  10
23

Planck’s constant h = 6.625  10

34
Js
= 6.625  10
–27
ergs
1 Faraday = 96500 coulomb
1 calorie = 4.2 joule
1 amu = 1.66  10
–27
kg
1 eV = 1.6  10
–19
J

Atomic No: H=1, He = 2, Li=3, Be=4, B=5, C=6, N=7, O=8,
N=9, Na=11, Mg=12, Si=14, Al=13, P=15, S=16,
Cl=17, Ar=18, K =19, Ca=20, Cr=24, Mn=25,
Fe=26, Co=27, Ni=28, Cu = 29, Zn=30, As=33,
Br=35, Ag=47, Sn=50, I=53, Xe=54, Ba=56,
Pb=82, U=92.
Atomic masses: H=1, He=4, Li=7, Be=9, B=11, C=12, N=14, O=16,
F=19, Na=23, Mg=24, Al = 27, Si=28, P=31, S=32,
Cl=35.5, K=39, Ca=40, Cr=52, Mn=55, Fe=56, Co=59,
Ni=58.7, Cu=63.5, Zn=65.4, As=75, Br=80, Ag=108,
Sn=118.7, I=127, Xe=131, Ba=137, Pb=207, U=238.

Page 2
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
3

P
P
h
h
y
y
s
s
i
i
c
c
s
s PART – I

SECTION – A

Single Correct Choice Type

This section contains 9 multiple choice questions. Each question has four choices (A), (B), (C) and (D)
out of which ONLY ONE is correct.

1. Velocity time graph of a particle undergoing rectilinear motion
is plotted as shown in the figure. Average acceleration of
particle is zero between time intervals.
(A) 0 and t
1
(B) t
1
and t
2

(C) t
1
and t
3
(D) t
2
and t
4

t
4

t
3

t
2

t
1

5

10

15

t (s)

v (m/s)

2. A heavy string of mass m hangs between two
fixed points A and B at the same level. The
tangents to the string at A and B are at an angle 
with the horizontal as shown in the figure. The
tension in the string at lowest point is





B

A

(A)
mg
2sin

(B)
mg
2cos


(C)
mg
2tan

(D)
mg
2 cot


3. The kinetic energy of a body moving along a straight line varies with time
as shown in the figure. The force acting on the body is
(A) zero
(B) constant
(C) directly proportional to velocity
(D) inversely proportional to velocity.

KE

t

Space for rough work
Page 3
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
4

4. In the figure shown, a string is wound over a cylinder A. The other end of
the string is attached to block B through a pulley. When the system is
released the cylinder rolls down without slipping. The ratio of magnitude of
vertical component of displacement of A and B in any time interval t is
(A) sin : 1 (B) sin  : 2
(C) cos  : 1 (D) cos  : 2



A

B

5. Six stars of equal mass are moving about the centre of mass of the system such that they are
always on the vertices of a regular hexagon of side length a. Their common time period will be
(A) 4
3
a
Gm
(B) 2
 
3
4 3a
Gm 5 3 4


(C) 4
3
3a
Gm
(D) None of these

6. One mole of a monoatomic gas is taken from P to R, via three paths
PQR, PR and PSR. If work done by the gas in PQR is W
1
, in PR
work done is W
2
and in PSR work done is W
3
, then
(A) W
2
> W
3
> W
1
(B) W
1
> W
2
> W
3

(C) W
2
> W
1
> W
3
(D) W
3
> W
2
> W
1

P

Q

R

S

T

V

7. A block of wood of relative density 0.5 is placed 10 m inside a vessel containing water. The
vessel is accelerated upward with an acceleration of 10 m/s
2
. If the block is released at some
instant, then the time taken by block to reach the surface of water from that instant is (g = 10
m/s
2
)
(A) 0.5 sec (B) 1 sec
(C) 2 sec (D) none of these
Space for rough work
Page 4
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
5

8. An insect of negligible mass is sitting on a block of mass M, tied with
a spring of force constant k. The block performs simple harmonic
motion with amplitude A infront of a plane mirror placed as shown in
the figure. The maximum speed of insect relative to its image will be
(A) A
k
m
(B)
A 3 k
2 m

(C)
k
A 3
m
(D)
m
A
k

M

60


9. Two concentric conducting spheres of radii R and 3R carrying charges Q and 2Q respectively. If
the charge on inner sphere is doubled. The potential difference between inner and outer spheres
will
(A) becomes two times (B) becomes four times
(C) be halved (D) remains same

Assertion - Reasoning Type

This section contains 4 questions numbered 10 to 13. Each question contains STATEMENT-1
(Assertion) and STATEMENT-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of
which ONLY ONE is correct.

10. STATEMENT-1: The time period of a pendulum of infinite length whose bob hangs near the
surface of the earth will be infinite.
and

STATEMENT-2: The time period of a pendulum of length L near the surface of the earth is
2
L
g
, if L is reasonably small .

(A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for
Statement-1.
(B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for
Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.
Space for rough work

Page 5
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
6

11. STATEMENT-1: Action and reaction are always equal and opposite, they act on different bodies
and they act along the same line (They are collinear)
and

STATEMENT-2: The summation of torques of internal forces in any rigid body is always zero.
(A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for
Statement-1.
(B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for
Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.

12. STATEMENT-1: An electromagnetic induction the Lenz law tells us only about the direction of
induced emf while Faraday’s law give us only the magnitude of emf.
and

STATEMENT-2: The direction of induced emf is such that it tends to oppose the cause of its
production.
(A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for
Statement-1.
(B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for
Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.

13. STATEMENT-1: In X-rays the energy of K

photon is lower than the energy of a K

photon.
and

STATEMENT-2: The number of K

photons is much larger than K

photons.
(A) Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for
Statement-1.
(B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for
Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.
Space for rough work

Page 6
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
7

Comprehension Type
This section contains 2 groups of questions. Each group has 3 multiple choice question based on a
paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is
correct.

Paragraph for Question Nos. 14 to 16

Figure shows the variation of the internal energy U with the
density  of one mole of ideal monoatomic gas for a
thermodynamics cycle ABCA. Here process AB is a part of
rectangular hyperbola

2U
0
A

C

B

2
0
5
0


U

5U
0

14. The P-V diagram of above process
(A)

A

C

B

P

V

(B)

A

C

B

P

V

(C)

A

C

B

P

V

(D)

None of these

15. The total amount of heat absorbed by the system for cyclic process is
(A)
0
10
ln2.5 2 U
3
 

 
 
(B)
0
10
ln0.4 2 U
5
 

 
 

(C) 50U
0
(D) None of these

16. The work done in process AB is
(A) U
0
(B) 2U
0
(C) 5U
0
(D) none of these.
Space for rough work

Page 7
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
8

Paragraph for Question Nos. 17 to 19

A cylindrical tube filled with water (
w
= 4/3) is closed at its both
ends by two silvered plano convex lenses as shown in the
figure. Refractive index of lenses L
1
and L
2
are 2.0 and 1.5
while their radii of curvature are 5 cm and 9 cm respectively. A
point object is placed some where at a point O on the axis of
cylindrical tube. It is found that the object and image coincide
each other.


w

1
L
1

2
L
2
O

17. The position of object w.r.t. lens L
1
is
(A) 8 cm (B) 10 cm
(C) 12 cm (D) 14 cm

18. The position of object w.r.t. lens L
2
is
(A) 8 cm (B) 10 cm
(C) 12 cm (D) 14 cm

19. The length of the cylindrical tube is
(A) 16 cm (B) 18 cm
(C) 20 cm (D) 22 cm
Space for rough work
Page 8
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
9

SECTION - B
Matrix – Match Type
This section contains 3 questions. Each question contains statements
given in two columns which have to be matched. Statements (A, B, C, D) in
column I have to be matched with statements (p, q, r, s) in column II. The
answers to these questions have to be appropriately bubbled as illustrated
in the following example.
If the correct match are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the
correctly bubbled 4  4 matrix should be as follows:

p

q

r

s

p

q

r

s

p

q

r

s

p

q

r

s

p

q

r

s

D

C

B

A

1. Three concentric spherical metallic shells A, B, and C of radii a, b, and c (a<b<c) have charge
densities of ,  and  respectively, then match the following:

Column I Column II
(A) The potential at A
(p)
2 2
0
a b
c
c c
 

 
 

 

(B) The potential at B
(q)
2
0
a
b c
c
 

 
 

 

(C) The potential at C
(r)
0



(D) The electric field at surface of A
(s)
 
0
a b c

 


Space for rough work

Page 9
AITS-FT-I(Paper-2)-PCM-JEE(Advanced)/14

FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com
10

2. For an atom having atomic number z.
Match the following:
Column I Column II
(A) Radius of orbit (p) is proportional to z
(B) Current associated due to orbital motion of electron

(q) is inversely proportional
to z.
(C) Magnetic field at the centre due to orbital motion of
electron
(r) is proportional to z
2
.
(D) Velocity of an electron (s) is proportional to z
3

3. Two infinitely long line charges 
1
and 
2

are placed symmetric to x-axis as shown in
the figure. Match the following for direction
of electric field at point P on the x-axis.





P

O

y


1


2

x

Column I Column II
(A) Both 
1
and 
2
are positive (p) positive x-axis
(B) Both 
1
and 
2
are negative (q) positive y-axis
(C) 
1
is positive but 
2
is negative (r) negative x-axis
(D) 
1
is negative but 
2
is positive (s) negative y-axis

Space for rough work

Page 10

FULL TEST – I Paper 2

FULL TEST – I Paper 2

Download this file to view remaining 14 pages