FULL TEST – I Paper 1

Question Paper 23 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 1

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

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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.

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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. Two equal masses hang on either side of a pulley at the same
height from the ground. The mass on the right is given a
horizontal speed, after some time.
(A) The mass on the left will be nearer to ground.
(B) The mass on the right will be nearer to ground.
(C) Both the masses will be at equal distance from the ground.
(D) Nothing can be said regarding their positions.

u

Ground

2. O is the centre of mass of a body of mass M as shown in the figure. A, B, C
are three different point on the body. OB = 8 cm, OC = 10 cm, BC = 6 cm
and OA = 10 cm. Which of the following can be written by using parallel axis
theorem? I
0
is the moment of inertia about the axis passing through point O
and perpendicular to plane of object.
(A) I
B
= I
C
+ M(BC)
2
(B) I
C
= I
B
+ M(BC)
2

(C) I
A
= I
0
+ M(OB)
2
(D) None of these

O

B

C

A

3. For the potentiometer arrangement shown in the figure, length of wire
AB is 100 cm and its resistance is 9. Find the length AC for which
the galvanometer G will show zero deflection.
(A) 66.7 cm (B) 60 cm
(C) 50 cm (D) 33.3 cm

G

E
1
= 10V

r
1
= 1
E
2
= 5V

r
2
= 2
A

B

C

Space for rough work
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4. Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of
mass M are arranged over a smooth horizontal surface as shown in the figure.
Ball 1 moves with a velocity v
1
towards balls 2. All collisions are assumed to
be elastic. If M < m the number of collisions between the balls will be

M

3 2 1
m

m

(A) 1 (B) 2
(C) 3 (D) 4

5. An electron and a proton are separated by a large distance and the electron approaches the
proton with K.E. of 2 eV. If the electron is captured by the proton to form a hydrogen atom in the
ground state, wavelength of photon emitted will be
(A) 793 Å (B) 1096 Å
(C) 704.5 Å (D) 1291.6 Å

6. A metallic surface is irradiated with monochromatic light of variable wavelength. Above a
wavelength of 5000 Å, no photoelectrons are emitted from the surface. With an unknown
wavelength, a stopping potential of 3 V is necessary to eliminate the photo current. The unknown
wavelength is
(A) 2258Å (B) 4133 Å
(C) 3126 Å (D) 2679 Å

7. An electric bulb of 100 W – 300 V is connected with an A.C. supply of 500 V and 150/ Hz. The
required inductance to save the electric bulb is
(A) 2H (B)
1
H
2

(C) 4 H (D)
1
H
4

8. n resistances each of resistance R are joined with
capacitors of capacity C (each) and a battery of
emf E as shown in the figure. In steady state
condition ratio of charge stored in the first and last
capacitor is

E

R

C

C

C

R

R

(A) n : 1 (B) (n  1) : R
(C) (n
2
+ 1) : (n
2
 1) (D) 1 : 1

9. A resistance R = 12  is connected across a source
of emf as shown in the figure. Its emf changes with
time as shown in the graph. What is the heat
developed in the resistance in the first four seconds?

R = 12

24

4

E(v)

t(s)

Source

E

(A) 72 J (B) 64 J
(C) 108 J (D) 100 J
Space for rough work

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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: In a certain frame if the work done by all the real force is zero then the change in
kinetic energy may not be zero.
and

STATEMENT-2: To apply work energy theorem in non inertial frames one must also consider the
work done by the pseudo force.
(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.

11. STATEMENT-1: If a block of mass M is made to slide along a circular path on a rough horizontal
surface then frictional force must be acting in a centripetal direction.
and

STATEMENT-2: Kinetic friction acts always opposite to the direction of relative velocity.
(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

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12. STATEMENT-1: For expansion of one mole of a gas isobarically from one temperature to
another, the ratio of Q and W is depends on 
and

STATEMENT-2: Difference between C
P
and C
V
for all ideal gases is R.
(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: Current in a phototube is independent of applied voltage.
and

STATEMENT-2: Saturation current in a phototube depends on intensity of incident light.
(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

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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

Three concentric spherical conductors A, B and C of radii R, 2R
and 4R respectively. A and C is shorted and B is uniformly
charged (charge +Q)

A

B

C

R

2R

4R

+

+

+

+

+

+

+

+

+

+

+

+

+

+

+

14. Charge on conductor A is
(A) Q/3 (B) Q/3
(C) 2Q/3 (D) None of these

15. Potential at A is
(A)
0
Q
4 R

(B)
0
Q
16 R


(C)
0
Q
20 R

(D) None of these

16. Potential at B is
(A)
0
Q
4 R

(B)
0
Q
16 R


(C)
0
5Q
48 R

(D) None of these
Space for rough work

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Paragraph for Question Nos. 17 to 19

Two capacitors of capacitance C and 3C are charged
to potential difference V
0
and 2V
0
respectively and
connected to an inductor of inductance L as shown in
the figure. Initially the current in the inductor is zero.
Now the switch S is closed.

+ 

V
0
+ 

2V
0
C

3C

S

L

17. The maximum current in the inductor is
(A)
0
3V
3C
2 L
(B)
0
3C
V
L

(C)
0
3C
2V
L
(D)
0
C
V
L

18. Potential difference across capacitor of capacitance C when the current in the circuit is maximum
(A)
0
CV
4
(B)
0
3CV
4

(C)
0
5CV
4
(D) None of these

19. Potential difference across capacitor of capacitance 3C when the current in the circuit is
maximum
(A)
0
CV
4
(B)
0
3CV
4

(C)
0
5CV
4
(D) None of these
Space for rough work

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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. A frame ABCD is rotating with angular velocity  about
an axis which passes through the point O perpendicular
to the plane of paper as shown in the figure. A uniform
magnetic field
B

is applied into the plane of the paper in
the region as shown. Match the following.

A

B

C

D

L

L





O

L

L

Column – I Column – II
(A) Potential difference between A and O (p) zero
(B) Potential difference between O and D
(q) BL
2
/2
(C) Potential difference between C and D
(r) BL
2

(D) Potential difference between A and D (s) constant

2. When a dielectric slab is inserted between the
plates of one of the two identical capacitors
shown in the figure, then match the following.

A
B
E

k

Column – I Column – II
(A) Charge on A (p) increases
(B) Potential difference across A (q) decreases
(C) Potential difference across B (r) remains constant
(D) Charge on B (s) will change

3. Match the following.
Column – I Column – II
(A) Concave mirror, real object (p) real image
(B) Convex mirror, real object (q) virtual image
(C) Concave lens, real object (r) magnified image
(D) Convex lens, real object (s) diminished image

Space for rough work

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C
C
h
h
e
e
m
m
i
i
s
s
t
t
r
r
y
y PART – II

SECTION – A

Straight Objective Type

This section contains 09 multiple choice questions numbered 1 to 9. Each question has 4 choices (A),
(B), (C) and (D), out of which ONLY ONE is correct.

1. Given the data at 25
o
C

o
Ag I AgI e E 0.152 V
 
   

o
Ag Ag e E 0.800 V

   
What is the value of logK
SP
for AgI?
(2.303 RT/F = 0.059 V)
(A) - 37.83 (B) - 16.13
(C) - 8.12 (D) + 8.612

2. The oxidation of certain metal is found to obey the equation
2
A t
   
. Where A is the thickness
of the metal oxide film at time t,  and  are constants. The order of this reaction is:
(A) 0 (B) 1
(C) -1 (D) 12

3. In an ionic compound AB the radii of A
+
and B
-
ions are 1.0 pm and 2.0 pm respectively. The
volume of the unit cell of the crystal AB will be
(A) 27 pm
3
(B) 64 pm
3
(C) 125 pm
3
(D) 216 pm
3

4. In the equilibrium :
     
2
2
BaF s Ba aq 2F aq
 



, if [Ba
2+
] is increased two times, then [F
-
] in
solution will:
(A) increase two times (B) increase four times
(C) decrease two times (D) decrease
1
2
times

5. Which of the following does not involve innershell hybridisation:
(A)
 
3
6
Co F

 
 
(B)
 
3
6
Co CN

 
 

(C)
 
4
6
Fe CN

 
 
(D)
 
2
3
6
Ni NH

 
 

Rough Work

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