FIITJEE - JEE MAINS MOCK TEST-2, Questions with Answers,IIT-JEE Preparation Notes - JEE

JEE: FIITJEE - JEE MAINS MOCK TEST-2, Questions with Answers,IIT-JEE Preparation Notes - JEE

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 Page 1


FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
FIITJEE JEE MAINS MOCK TEST-2 
  
Target IIT - JEE 2014 
QP CODE: 120638.0 
Time : 3 hours                                                                Maximum Marks :  360 
• Please read the instructions carefully.  You are allotted 5 minutes specifically for this purpose. 
• You are not allowed to leave the examination hall before end of the test.   
Instructions 
 
1.  Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of 
pencil is strictly prohibited. 
 
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take 
out the Answer Sheet and fill in the particulars carefully. 
 
3. The test is of 3 hours duration. 
 
4. The Test Booklet consists of 90 questions. The maximum marks are 360. 
 
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics 
having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct 
response. 
 
6. Candidates will be awarded marks as stated above in instruction No.5 for correct response of each 
question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No 
deduction from the total score will be made if no response is indicated for an item in the answer sheet. 
 
7. There is only one correct response for each question. Filling up more than one response in any question 
will be treated as wrong response and marks for wrong response will be deducted accordingly as per 
instruction 6 above. 
 
8. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of 
the Answer Sheet. Use of pencil is strictly prohibited. 
 
9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile 
phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 
 
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the 
Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 
 
11. Do not fold or make any stray marks on the Answer Sheet. 
 
Name of the Candidate (in Capital Letters) :_____________________________________ 
Enrolment Number :_________________________________________________________  
Batch :________________________ Date of Examination : ________________________ 
Page 2


FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
FIITJEE JEE MAINS MOCK TEST-2 
  
Target IIT - JEE 2014 
QP CODE: 120638.0 
Time : 3 hours                                                                Maximum Marks :  360 
• Please read the instructions carefully.  You are allotted 5 minutes specifically for this purpose. 
• You are not allowed to leave the examination hall before end of the test.   
Instructions 
 
1.  Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of 
pencil is strictly prohibited. 
 
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take 
out the Answer Sheet and fill in the particulars carefully. 
 
3. The test is of 3 hours duration. 
 
4. The Test Booklet consists of 90 questions. The maximum marks are 360. 
 
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics 
having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct 
response. 
 
6. Candidates will be awarded marks as stated above in instruction No.5 for correct response of each 
question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No 
deduction from the total score will be made if no response is indicated for an item in the answer sheet. 
 
7. There is only one correct response for each question. Filling up more than one response in any question 
will be treated as wrong response and marks for wrong response will be deducted accordingly as per 
instruction 6 above. 
 
8. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of 
the Answer Sheet. Use of pencil is strictly prohibited. 
 
9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile 
phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 
 
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the 
Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 
 
11. Do not fold or make any stray marks on the Answer Sheet. 
 
Name of the Candidate (in Capital Letters) :_____________________________________ 
Enrolment Number :_________________________________________________________  
Batch :________________________ Date of Examination : ________________________ 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_2
SECTION - 1 
PHYSICS 
 
1. A screw gauge gives the following reading when used to measure the diameter of a wire. 
Main scale reading: 0 mm 
 Circular scale reading: 52 divisions 
 Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. 
 The diameter of wire from the above date is 
 (A) 0.052 cm (B) 0.026 cm (C) 0.005 cm (D) 0.52 cm 
 
2. Which of the following statements is false for a particle moving in a circle with a constant 
angular speed? 
 (A) The velocity vector is tangent to the circle. 
 (B) The acceleration vector is tangent to the circle. 
 (C) The acceleration vector points to the centre of the circle. 
 (D) The velocity and acceleration vectors are perpendicular to each other. 
 
3. A mass M, attached to a horizontal spring, executes SHM with amplitude A
1
. When the mass 
M passes through its mean position then a smaller mass m is placed over it and both of 
them move together with amplitude A
2
. The ratio of 
1
2
A
A
??
??
??
 is 
 (A) 
Mm
M
+
 (B) 
1/2
M
Mm
??
??
+
??
 (C) 
1/2
Mm
M
+ ??
??
??
 (D) 
M
Mm +
 
 
4. A carnot engine, having an efficiency of ? = 1/10 as heat engine, is used as a refrigerator.  
If the work down on the system is 10 J, the amount of energy absorbed from the reservoir at 
lower temperature is  
 (A) 99 J (B) 90 J (C) 1 J (D) 100 J 
 
5. One mole of ideal monoatomic gas ( ? = 5/30) is mixed with one mole of diatomic gas  
( ? = 7/5). What is ? for the mixture? ? denotes the ratio of specific heat at constant pressure, 
to that at constant volume. 
 (A) 3/2 (B) 23/15 (C) 35/23 (D) 4/3 
Space for rough work 
 
Page 3


FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
FIITJEE JEE MAINS MOCK TEST-2 
  
Target IIT - JEE 2014 
QP CODE: 120638.0 
Time : 3 hours                                                                Maximum Marks :  360 
• Please read the instructions carefully.  You are allotted 5 minutes specifically for this purpose. 
• You are not allowed to leave the examination hall before end of the test.   
Instructions 
 
1.  Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of 
pencil is strictly prohibited. 
 
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take 
out the Answer Sheet and fill in the particulars carefully. 
 
3. The test is of 3 hours duration. 
 
4. The Test Booklet consists of 90 questions. The maximum marks are 360. 
 
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics 
having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct 
response. 
 
6. Candidates will be awarded marks as stated above in instruction No.5 for correct response of each 
question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No 
deduction from the total score will be made if no response is indicated for an item in the answer sheet. 
 
7. There is only one correct response for each question. Filling up more than one response in any question 
will be treated as wrong response and marks for wrong response will be deducted accordingly as per 
instruction 6 above. 
 
8. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of 
the Answer Sheet. Use of pencil is strictly prohibited. 
 
9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile 
phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 
 
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the 
Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 
 
11. Do not fold or make any stray marks on the Answer Sheet. 
 
Name of the Candidate (in Capital Letters) :_____________________________________ 
Enrolment Number :_________________________________________________________  
Batch :________________________ Date of Examination : ________________________ 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_2
SECTION - 1 
PHYSICS 
 
1. A screw gauge gives the following reading when used to measure the diameter of a wire. 
Main scale reading: 0 mm 
 Circular scale reading: 52 divisions 
 Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. 
 The diameter of wire from the above date is 
 (A) 0.052 cm (B) 0.026 cm (C) 0.005 cm (D) 0.52 cm 
 
2. Which of the following statements is false for a particle moving in a circle with a constant 
angular speed? 
 (A) The velocity vector is tangent to the circle. 
 (B) The acceleration vector is tangent to the circle. 
 (C) The acceleration vector points to the centre of the circle. 
 (D) The velocity and acceleration vectors are perpendicular to each other. 
 
3. A mass M, attached to a horizontal spring, executes SHM with amplitude A
1
. When the mass 
M passes through its mean position then a smaller mass m is placed over it and both of 
them move together with amplitude A
2
. The ratio of 
1
2
A
A
??
??
??
 is 
 (A) 
Mm
M
+
 (B) 
1/2
M
Mm
??
??
+
??
 (C) 
1/2
Mm
M
+ ??
??
??
 (D) 
M
Mm +
 
 
4. A carnot engine, having an efficiency of ? = 1/10 as heat engine, is used as a refrigerator.  
If the work down on the system is 10 J, the amount of energy absorbed from the reservoir at 
lower temperature is  
 (A) 99 J (B) 90 J (C) 1 J (D) 100 J 
 
5. One mole of ideal monoatomic gas ( ? = 5/30) is mixed with one mole of diatomic gas  
( ? = 7/5). What is ? for the mixture? ? denotes the ratio of specific heat at constant pressure, 
to that at constant volume. 
 (A) 3/2 (B) 23/15 (C) 35/23 (D) 4/3 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_3
6. If M
o
 is the mass of an oxygen isotope 
8
O
17
, M
p
 and M
N
 are the masses of a proton and a 
neutron respectively, the nuclear binding energy of the isotope is 
 (A) (M
o
 – 8M
P
)C
2
 (B) (M
o
 – 8M
P
 – 9M
N
)C
2
 
 (C) M
o
C
2
 (D) (M
o
 – 17M
N
)C
2
 
 
7. Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T
1
, T
2
), volume 
(V
1
, V
2
) and pressure (P
1
, P
2
) respectively. If the value joining two vessels is opened, the 
temperature inside the vessel at equilibrium will be 
 (A) T
1
 + T
2
 (B) (T
1
 + T
2
)/2 
 (C) 
12 1 1 2 2
11 2 2 2 1
TT (PV P V )
PVT P V T
+
+
 (D) 
12 1 1 2 2
11 1 2 2 2
TT (PV P V )
PVT P V T
+
+
 
 
8. A spherical solid ball of volume V is made of a material of density ?
1
. It is falling through a 
liquid of density ?
2
( ?
2
 < ?
1
). Assume that the liquid applied a viscous force on the ball that is 
proportional to the square of its speed v, i.e., F
viscous
 = –kv
2
(k > 0). The terminal speed of the 
ball is 
 (A) 
12
Vg( )
k
?-?
 (B) 
1
Vg
k
?
 (C) 
1
Vg
k
?
 (D) 
12
Vg( )
k
? - ?
 
 
9. In forced oscillation of a particle the amplitude is maximum for a frequency ?
1
 of the force, 
while the energy is maximum for a frequency ?
2
 of the force, then 
 (A) ?
1
 = ?
2
 
 (B) ?
1
 > ?
2
 
 (C) ?
1
 < ?
2
 when damping is small and ?
1
 > ?
2
 when damping is large 
 (D) ?
1
 < ?
2
 
 
10. A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a  
factor of  
 (A) 1000 (B) 10000 (C) 10 (D) 100 
 
11. Energy required for the electron excitation in Li
++
 from the first to the third Bohr orbit is 
 (A) 36.3 eV (B) 108.8 eV (C) 122.4 eV (D) 12.1 eV 
 
12. The electrostatic potential inside a charged spherical ball is given by f = a?
2
 + b where r is 
the distance from the centre; a, b are constants. Then the charge density inside ball is 
 (A) –6a e
0
r (B) –24 pae
0
r (C) –6a e
0
 (D) 24 pae
0
r 
Space for rough work 
 
Page 4


FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
FIITJEE JEE MAINS MOCK TEST-2 
  
Target IIT - JEE 2014 
QP CODE: 120638.0 
Time : 3 hours                                                                Maximum Marks :  360 
• Please read the instructions carefully.  You are allotted 5 minutes specifically for this purpose. 
• You are not allowed to leave the examination hall before end of the test.   
Instructions 
 
1.  Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of 
pencil is strictly prohibited. 
 
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take 
out the Answer Sheet and fill in the particulars carefully. 
 
3. The test is of 3 hours duration. 
 
4. The Test Booklet consists of 90 questions. The maximum marks are 360. 
 
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics 
having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct 
response. 
 
6. Candidates will be awarded marks as stated above in instruction No.5 for correct response of each 
question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No 
deduction from the total score will be made if no response is indicated for an item in the answer sheet. 
 
7. There is only one correct response for each question. Filling up more than one response in any question 
will be treated as wrong response and marks for wrong response will be deducted accordingly as per 
instruction 6 above. 
 
8. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of 
the Answer Sheet. Use of pencil is strictly prohibited. 
 
9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile 
phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 
 
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the 
Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 
 
11. Do not fold or make any stray marks on the Answer Sheet. 
 
Name of the Candidate (in Capital Letters) :_____________________________________ 
Enrolment Number :_________________________________________________________  
Batch :________________________ Date of Examination : ________________________ 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_2
SECTION - 1 
PHYSICS 
 
1. A screw gauge gives the following reading when used to measure the diameter of a wire. 
Main scale reading: 0 mm 
 Circular scale reading: 52 divisions 
 Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. 
 The diameter of wire from the above date is 
 (A) 0.052 cm (B) 0.026 cm (C) 0.005 cm (D) 0.52 cm 
 
2. Which of the following statements is false for a particle moving in a circle with a constant 
angular speed? 
 (A) The velocity vector is tangent to the circle. 
 (B) The acceleration vector is tangent to the circle. 
 (C) The acceleration vector points to the centre of the circle. 
 (D) The velocity and acceleration vectors are perpendicular to each other. 
 
3. A mass M, attached to a horizontal spring, executes SHM with amplitude A
1
. When the mass 
M passes through its mean position then a smaller mass m is placed over it and both of 
them move together with amplitude A
2
. The ratio of 
1
2
A
A
??
??
??
 is 
 (A) 
Mm
M
+
 (B) 
1/2
M
Mm
??
??
+
??
 (C) 
1/2
Mm
M
+ ??
??
??
 (D) 
M
Mm +
 
 
4. A carnot engine, having an efficiency of ? = 1/10 as heat engine, is used as a refrigerator.  
If the work down on the system is 10 J, the amount of energy absorbed from the reservoir at 
lower temperature is  
 (A) 99 J (B) 90 J (C) 1 J (D) 100 J 
 
5. One mole of ideal monoatomic gas ( ? = 5/30) is mixed with one mole of diatomic gas  
( ? = 7/5). What is ? for the mixture? ? denotes the ratio of specific heat at constant pressure, 
to that at constant volume. 
 (A) 3/2 (B) 23/15 (C) 35/23 (D) 4/3 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_3
6. If M
o
 is the mass of an oxygen isotope 
8
O
17
, M
p
 and M
N
 are the masses of a proton and a 
neutron respectively, the nuclear binding energy of the isotope is 
 (A) (M
o
 – 8M
P
)C
2
 (B) (M
o
 – 8M
P
 – 9M
N
)C
2
 
 (C) M
o
C
2
 (D) (M
o
 – 17M
N
)C
2
 
 
7. Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T
1
, T
2
), volume 
(V
1
, V
2
) and pressure (P
1
, P
2
) respectively. If the value joining two vessels is opened, the 
temperature inside the vessel at equilibrium will be 
 (A) T
1
 + T
2
 (B) (T
1
 + T
2
)/2 
 (C) 
12 1 1 2 2
11 2 2 2 1
TT (PV P V )
PVT P V T
+
+
 (D) 
12 1 1 2 2
11 1 2 2 2
TT (PV P V )
PVT P V T
+
+
 
 
8. A spherical solid ball of volume V is made of a material of density ?
1
. It is falling through a 
liquid of density ?
2
( ?
2
 < ?
1
). Assume that the liquid applied a viscous force on the ball that is 
proportional to the square of its speed v, i.e., F
viscous
 = –kv
2
(k > 0). The terminal speed of the 
ball is 
 (A) 
12
Vg( )
k
?-?
 (B) 
1
Vg
k
?
 (C) 
1
Vg
k
?
 (D) 
12
Vg( )
k
? - ?
 
 
9. In forced oscillation of a particle the amplitude is maximum for a frequency ?
1
 of the force, 
while the energy is maximum for a frequency ?
2
 of the force, then 
 (A) ?
1
 = ?
2
 
 (B) ?
1
 > ?
2
 
 (C) ?
1
 < ?
2
 when damping is small and ?
1
 > ?
2
 when damping is large 
 (D) ?
1
 < ?
2
 
 
10. A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a  
factor of  
 (A) 1000 (B) 10000 (C) 10 (D) 100 
 
11. Energy required for the electron excitation in Li
++
 from the first to the third Bohr orbit is 
 (A) 36.3 eV (B) 108.8 eV (C) 122.4 eV (D) 12.1 eV 
 
12. The electrostatic potential inside a charged spherical ball is given by f = a?
2
 + b where r is 
the distance from the centre; a, b are constants. Then the charge density inside ball is 
 (A) –6a e
0
r (B) –24 pae
0
r (C) –6a e
0
 (D) 24 pae
0
r 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_4
13. 100 g of water is heated from 30°C to 50°C. Ignoring the slight expansion of the water, the 
change in its internal energy is (specific heat of water is 4148 J/kg/K)   
 (A) 8.4 kJ (B) 84 kJ (C) 2.1 kJ (D) 4.2 kJ 
 
14. The half life of a radioactive substance is 20 minutes. The approximate time interval (t
2
 – t
1
) 
between the time t
2
 when 
2
3
 of it has decayed and time t
1
 and 
1
3
 of it had decayed is: 
 (A) 14 min (B) 20 min (C) 28 min (D) 7 min 
 
15. A particle of mass m is attached to a spring (of spring constant k) and ha a natural angular 
frequency ?
0
. An external fore F(t) proportional to cos ?t ( ?? ?
0
) is applied to the oscillator. 
The time displacement of the oscillator will be proportional to 
 (A) 
22
0
m
?-?
 (B) 
22
0
1
m( ) ?-?
 (C) 
22
0
1
m( ) ? +?
 (D) 
22
0
m
?+?
 
 
16. A car is fitted with a convex side-view mirror of focal length 20 cm. A second car 2.8 m 
behind the first car is overtaking the first car at relative speed of 15 m/s. The speed of the 
image of the second car as  
 (A) 
1
m/s
15
 (B) 10 m/s (C) 15 m/s (D) 
1
m/s
10
 
 
17. The bob of a simple pendulum executes simple harmonic motion in water with a period t, 
while the period of oscillation of the bob is t
0
 in air. Neglecting frictional force of water and 
given that the density of the bob is 
4
1000
3
??
×
??
??
 kg/m
3
. What relationship between t and t
0
 is 
true? 
 (A) t = t
0
 (B) t = t
0
/2 (C) t = 2t
0
 (D) t = 4t
0
 
 
18. A carnot engine operating between temperatures T
1
 and T
2
 has efficiency 
1
6
. When T
2
 is 
lowered by 62 K, is efficiency increases to 
1
3
. Then T
1
 and T
2
 are, respectively 
 (A) 372 K and 330 K (B) 330 K and 268 K 
 (C) 310 K and 248 K (D) 372 K and 310 K 
 
19. A resistor ‘R’ and 2 µF capacitor in series is connected through a switch to 200 V direct 
supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R 
to make the bulb light up 5s after the switch has been closed. (log
10
 2.5 = 0.4) 
 (A) 1.7 × 10
5
 O (B) 2.7 × 10
6
 O 
 (C) 3.3 × 10
7
 O (D) 1.3 × 10
4
 O 
Space for rough work 
 
Page 5


FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
FIITJEE JEE MAINS MOCK TEST-2 
  
Target IIT - JEE 2014 
QP CODE: 120638.0 
Time : 3 hours                                                                Maximum Marks :  360 
• Please read the instructions carefully.  You are allotted 5 minutes specifically for this purpose. 
• You are not allowed to leave the examination hall before end of the test.   
Instructions 
 
1.  Immediately fill in the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of 
pencil is strictly prohibited. 
 
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take 
out the Answer Sheet and fill in the particulars carefully. 
 
3. The test is of 3 hours duration. 
 
4. The Test Booklet consists of 90 questions. The maximum marks are 360. 
 
5. There are three parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematics 
having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct 
response. 
 
6. Candidates will be awarded marks as stated above in instruction No.5 for correct response of each 
question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No 
deduction from the total score will be made if no response is indicated for an item in the answer sheet. 
 
7. There is only one correct response for each question. Filling up more than one response in any question 
will be treated as wrong response and marks for wrong response will be deducted accordingly as per 
instruction 6 above. 
 
8. Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 and Side-2 of 
the Answer Sheet. Use of pencil is strictly prohibited. 
 
9. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile 
phone, any electronic device, etc. except the Admit Card inside the examination hall / room. 
 
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the 
Room / Hall. However, the candidates are allowed to take away this Test Booklet with them. 
 
11. Do not fold or make any stray marks on the Answer Sheet. 
 
Name of the Candidate (in Capital Letters) :_____________________________________ 
Enrolment Number :_________________________________________________________  
Batch :________________________ Date of Examination : ________________________ 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_2
SECTION - 1 
PHYSICS 
 
1. A screw gauge gives the following reading when used to measure the diameter of a wire. 
Main scale reading: 0 mm 
 Circular scale reading: 52 divisions 
 Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. 
 The diameter of wire from the above date is 
 (A) 0.052 cm (B) 0.026 cm (C) 0.005 cm (D) 0.52 cm 
 
2. Which of the following statements is false for a particle moving in a circle with a constant 
angular speed? 
 (A) The velocity vector is tangent to the circle. 
 (B) The acceleration vector is tangent to the circle. 
 (C) The acceleration vector points to the centre of the circle. 
 (D) The velocity and acceleration vectors are perpendicular to each other. 
 
3. A mass M, attached to a horizontal spring, executes SHM with amplitude A
1
. When the mass 
M passes through its mean position then a smaller mass m is placed over it and both of 
them move together with amplitude A
2
. The ratio of 
1
2
A
A
??
??
??
 is 
 (A) 
Mm
M
+
 (B) 
1/2
M
Mm
??
??
+
??
 (C) 
1/2
Mm
M
+ ??
??
??
 (D) 
M
Mm +
 
 
4. A carnot engine, having an efficiency of ? = 1/10 as heat engine, is used as a refrigerator.  
If the work down on the system is 10 J, the amount of energy absorbed from the reservoir at 
lower temperature is  
 (A) 99 J (B) 90 J (C) 1 J (D) 100 J 
 
5. One mole of ideal monoatomic gas ( ? = 5/30) is mixed with one mole of diatomic gas  
( ? = 7/5). What is ? for the mixture? ? denotes the ratio of specific heat at constant pressure, 
to that at constant volume. 
 (A) 3/2 (B) 23/15 (C) 35/23 (D) 4/3 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_3
6. If M
o
 is the mass of an oxygen isotope 
8
O
17
, M
p
 and M
N
 are the masses of a proton and a 
neutron respectively, the nuclear binding energy of the isotope is 
 (A) (M
o
 – 8M
P
)C
2
 (B) (M
o
 – 8M
P
 – 9M
N
)C
2
 
 (C) M
o
C
2
 (D) (M
o
 – 17M
N
)C
2
 
 
7. Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T
1
, T
2
), volume 
(V
1
, V
2
) and pressure (P
1
, P
2
) respectively. If the value joining two vessels is opened, the 
temperature inside the vessel at equilibrium will be 
 (A) T
1
 + T
2
 (B) (T
1
 + T
2
)/2 
 (C) 
12 1 1 2 2
11 2 2 2 1
TT (PV P V )
PVT P V T
+
+
 (D) 
12 1 1 2 2
11 1 2 2 2
TT (PV P V )
PVT P V T
+
+
 
 
8. A spherical solid ball of volume V is made of a material of density ?
1
. It is falling through a 
liquid of density ?
2
( ?
2
 < ?
1
). Assume that the liquid applied a viscous force on the ball that is 
proportional to the square of its speed v, i.e., F
viscous
 = –kv
2
(k > 0). The terminal speed of the 
ball is 
 (A) 
12
Vg( )
k
?-?
 (B) 
1
Vg
k
?
 (C) 
1
Vg
k
?
 (D) 
12
Vg( )
k
? - ?
 
 
9. In forced oscillation of a particle the amplitude is maximum for a frequency ?
1
 of the force, 
while the energy is maximum for a frequency ?
2
 of the force, then 
 (A) ?
1
 = ?
2
 
 (B) ?
1
 > ?
2
 
 (C) ?
1
 < ?
2
 when damping is small and ?
1
 > ?
2
 when damping is large 
 (D) ?
1
 < ?
2
 
 
10. A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a  
factor of  
 (A) 1000 (B) 10000 (C) 10 (D) 100 
 
11. Energy required for the electron excitation in Li
++
 from the first to the third Bohr orbit is 
 (A) 36.3 eV (B) 108.8 eV (C) 122.4 eV (D) 12.1 eV 
 
12. The electrostatic potential inside a charged spherical ball is given by f = a?
2
 + b where r is 
the distance from the centre; a, b are constants. Then the charge density inside ball is 
 (A) –6a e
0
r (B) –24 pae
0
r (C) –6a e
0
 (D) 24 pae
0
r 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_4
13. 100 g of water is heated from 30°C to 50°C. Ignoring the slight expansion of the water, the 
change in its internal energy is (specific heat of water is 4148 J/kg/K)   
 (A) 8.4 kJ (B) 84 kJ (C) 2.1 kJ (D) 4.2 kJ 
 
14. The half life of a radioactive substance is 20 minutes. The approximate time interval (t
2
 – t
1
) 
between the time t
2
 when 
2
3
 of it has decayed and time t
1
 and 
1
3
 of it had decayed is: 
 (A) 14 min (B) 20 min (C) 28 min (D) 7 min 
 
15. A particle of mass m is attached to a spring (of spring constant k) and ha a natural angular 
frequency ?
0
. An external fore F(t) proportional to cos ?t ( ?? ?
0
) is applied to the oscillator. 
The time displacement of the oscillator will be proportional to 
 (A) 
22
0
m
?-?
 (B) 
22
0
1
m( ) ?-?
 (C) 
22
0
1
m( ) ? +?
 (D) 
22
0
m
?+?
 
 
16. A car is fitted with a convex side-view mirror of focal length 20 cm. A second car 2.8 m 
behind the first car is overtaking the first car at relative speed of 15 m/s. The speed of the 
image of the second car as  
 (A) 
1
m/s
15
 (B) 10 m/s (C) 15 m/s (D) 
1
m/s
10
 
 
17. The bob of a simple pendulum executes simple harmonic motion in water with a period t, 
while the period of oscillation of the bob is t
0
 in air. Neglecting frictional force of water and 
given that the density of the bob is 
4
1000
3
??
×
??
??
 kg/m
3
. What relationship between t and t
0
 is 
true? 
 (A) t = t
0
 (B) t = t
0
/2 (C) t = 2t
0
 (D) t = 4t
0
 
 
18. A carnot engine operating between temperatures T
1
 and T
2
 has efficiency 
1
6
. When T
2
 is 
lowered by 62 K, is efficiency increases to 
1
3
. Then T
1
 and T
2
 are, respectively 
 (A) 372 K and 330 K (B) 330 K and 268 K 
 (C) 310 K and 248 K (D) 372 K and 310 K 
 
19. A resistor ‘R’ and 2 µF capacitor in series is connected through a switch to 200 V direct 
supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R 
to make the bulb light up 5s after the switch has been closed. (log
10
 2.5 = 0.4) 
 (A) 1.7 × 10
5
 O (B) 2.7 × 10
6
 O 
 (C) 3.3 × 10
7
 O (D) 1.3 × 10
4
 O 
Space for rough work 
 
 
FIITJEE Ltd., North West  Delhi Centre, 31-32-33, Central Market, West  Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 
 
IIT2014, JEE MAINS MOCK TEST-2(PCM)_5
20. A current I flows in an infinitely long wire with cross section in the form of a semicircular ring 
of radius R. The magnitude of the magnetic induction along its axis is 
 (A) 
0
2
I
2R
µ
p
 (B) 
0
I
2R
µ
p
 (C) 
0
2
I
4R
µ
p
 (D) 
0
2
I
R
µ
p
 
 
21. Shown in the figure is a meter-bridge set up with null 
deflection in the galvanometer. The value of the unknown 
resistor R is 
 (A) 13.75 O (B) 220 O 
 (C) 110 O (D) 55 O  
 
22. A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely 
from the edge of the table. The total mass of the chain is 4 kg. What is the work done in 
pulling the entire chain on the table? 
 (A) 7.2 J (B) 3.6 J 
 (C) 120 J (D) 1200 J 
 
23. A thin rod of length ‘L’ is lying along the x-axis with its ends at x = 0 and x = L. Its linear 
density (mass/length) varies with x as 
n
x
k
L
??
??
??
, where n can be zero or any positive number.  
If the position x
CM
 of the centre of mass of the rod is plotted against ‘n’, which of the following 
graphs best approximates the dependence of x
CM
 on n?      
 
(A) 
 
(B)
(C) 
 
(D)
 
Space for rough work 
 
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