FIITJEE – INTERNAL Phase Test
PHYSICS, CHEMISTRY & MATHEMATICS
QP CODE: 100710
Time Allotted: 3 Hours
▪
BATCHES – Two Year CRP(2325)
▪
Common Test – 2
Maximum Marks: 180
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
Caution: Question Paper CODE as given above MUST be correctly marked in the answer
OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results.
A. General Instructions
1.
2.
3.
4.
5.
Attempt ALL the questions. Answers have to be marked on the OMR sheets.
This question paper contains Three Sections.
Section-I is Physics, Section-II is Chemistry and Section-III is Mathematics.
All the section can be filled in PART-A & B of OMR.
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 Blue/Black Ball Point Pen for each
character of your Enrolment No. and write in ink 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 Two Parts.
(i)
Part-A (01-04) – Contains Four (04) multiple choice questions which have ONLY ONE CORRECT answer
Each question carries +3 marks for correct answer and -1 marks for wrong answer.
(ii) PART–A (05–07) contains (3) Multiple Choice Questions which have One or More Than One Correct
answer.
Full Marks: +4 If only the bubble(s) corresponding to all the correct options(s) is (are) darkened.
Partial Marks: +1 For darkening a bubble corresponding to each correct option, provided NO incorrect
option is darkened.
Zero Marks: 0 If none of the bubbles is darkened.
Negative Marks: −1 In all other cases.
For example, if (A), (C) and (D) are all the correct options for a question, darkening all these three will
result in +4 marks; darkening only (A) and (D) will result in +2 marks; and darkening (A) and (B) will result
in −1 marks, as a wrong option is also darkened.
(iii) Part-B (01-06) This section contains SIX (06) questions. The answer to each question is a NON-NEGATIVE
INTEGER. For each question, enter the correct integer corresponding to the answer. Each question carries
+4 marks for correct answer. There is no negative marking.
(iv) Part-B (07-010) This section contains Two paragraphs. Each paragraph having TWO questions Numerical
answer type with answer XXXX.XX. For each question, enter the correct numerical value. If the numerical
value has more than two decimal places, truncate/round-off the value to TWO decimal places. Each
question carries +3 marks for the correct answer. There is no negative marking.
Name of the Candidate: ____________________________________________
Batch: ____________________ Date of Examination: ___________________
Enrolment Number: _______________________________________________
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2
IT−2025 (Common Test-2)-(PCM)
S
SE
EC
CT
TIIO
ON
N –– II :: P
PH
HY
YS
SIIC
CS
S
(PART – A)
(Single Correct Answer Type)
This section contains 4 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out
of which ONLY ONE is correct.
1.
(A) V3  V2  V1
2.
(B) V2  V1  V3
6R
S2
V
(C) V3  V1  V2
(D) V1  V2  V3
Three identical large metal plates each of area ‘A’ are placed
parallel to each other at equal distance d as shown. Initially
metal plate ‘a’ is uncharged, while metal plates b and c have
respective charges +q0 and –q0 initially as shown. Metal
plates a and c are connected by switch K through resistor of
resistance R. The key K is closed at time t = 0. Then the
magnitude of current through the resistor at any time t is
− dt
(A)
3.
R
In the circuit shown in the figure, reading of voltmeter
is V1 when only S1 is closed, reading of voltmeter is V2
when only S2 is closed and reading of voltmeter is V3
when both S1 and S2 are closed. Then
S1
3R
q0 d RA0
e
RA0
−2dt
(B)
q0 d RA0
e
RA0
− dt
(C)
−2dt
q0 d RA0
e
2RA0
A finite chain of resistors is shown in the
figure. All the resistors in the chain are of
the same value. A current of 1A flows
through the last resistor. The current
supplied by the battery in ampere is 3x.
The value of ‘x’ is
(A) 5
(B) 7
(C) 9
(D)
R
R
R
q0 d RA0
e
2RA0
R
R
R
R 1A
R
(D) 3
60 
4.
For the circuit arrangement shown in the figure, find the
potential difference (in V) across C2 in the steady state
condition.
(A) 2
(B) 5
(C) 6
(D) 3
30 
20 
C1 = 20F
30 
C2 = 10F
10  + -
K
12 V
Space For Rough Work
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3
IT−2025 (Common Test-2)-(PCM)
(One or More Than One Options Correct Type)
This section contains 3 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
5.
6.
In the circuit shown in figure, the switch S is closed at
t = 0 for a time long enough for the capacitor to be fully
charged. Choose from following the correct option(s).
(A) Steady state current in resistance 15 k is 0.33 mA
(B) Steady state current in resistance 15 k is 1.72 mA
(C) Charge on the capacitor in the steady state is
25 C
(D) Charge on the capacitor in the steady state is
32 C
5 F
5 k
15 k
30 k
S
15V
A metallic conductor of irregular cross-section is as shown in the
figure. A constant potential difference is applied across the ends
(1) and (2). Then:
(A) the current at the cross-section P equals the current at the
cross-section Q.
(B) the electric field intensity at P is less than that at Q.
(C) the rate of heat generated per unit time at Q is greater than
that at P.
(D) the number of electrons crossing per unit area of crosssection at P is less than that at Q.
P
(1)
A
7.
Two bulbs 25W, 100V (upper bulb in figure) and 100W, 200V
(lower bulb in figure) are connected in the circuit as shown in
figure. Choose the correct answer (s)
(A) Heat lost per second in the circuit will be 80J
(B) Ratio of heat produced per second in bulbs will be 1: 1
(C) Ratio of heat produced in branch AB to branch CD will be 1:2
(D) Current drawn from the cell is 0.4 A
(2)
Q
100
B
600
C
D
(500/3)
200V
(PART – B)
(Non – Negative Integer)
1.
Find the reading of the ideal ammeter (to the
nearest integer) connected in the given
circuit. Assume that the cells have negligible
internal resistance.
10 
10 V
4V
8V
8
4
2
Space For Rough Work
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6V
A
4
IT−2025 (Common Test-2)-(PCM)
12V
F
2.
A
2.0
In the network shown in the figure, the
potential difference(in Volt) across points A
and B is
C
6.0
4.0
6.0
2.0
G
4.0
B
12V
4
3.
Find equivalent resistance between A and B.
4
4
A
20
4
8
8
4
B
4.
3
6
2
The network shown consists of an infinite number of cells of emf 1 and 2 with
corresponding internal resistances r1 and r2 respectively A resistor R = 1 is connected to
the end of the network. If the values of the emfs and internal resistances are 1 = 1.0 V,
2 = 2.0 V, r1 = 4 and r2 = 6. If the current flowing through the resistor R is I ampere, then
find 10I.
V (Volt)
8
5.
Voltage versus time graph of a circuit element is shown in the
figure. If capacitance C = 2F, find the current (in Amp).
4
6.
t (sec)
A wire of length L and 3 identical cells of negligible internal resistance are connected in
series, when the temperature of the wire is raised by (T) in time t due to the current. The
same temperature rise is observed in the same time when N similar cells are connected in
series with a wire of length 2L but of same material and cross-section. Find the value of N.
Space For Rough Work
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5
IT−2025 (Common Test-2)-(PCM)
(PART – B)
This section contains Two paragraphs. Each paragraph having TWO questions Numerical answer type with
answer XXXX.XX. For each question, enter the correct numerical value. If the numerical value has more than
two decimal places, truncate/round-off the value to TWO decimal places.
Paragraph for Question no. 7 to 8
E
In the circuit shown in fig. E, F, G and H are cells
of emf 2, 1, 3 and 1 Volts respectively and their
internal resistance are 2, 1, 3 and 1
respectively. Calculate
F
A
+
B
+
2
+
D
G
+
H
C
x
, then ‘x’ is ________.
13
7.
The potential difference between B and D is
8.
The potential difference across the terminals of the cell H is
10y
, the ‘y’ is ________.
13
Paragraph for Question no. 9 to 10
The average bulk resistivity of the human body (apart from the surface resistance of the
skin) is about 5  -m. The conducting path between the hands can be represented
approximately as a cylinder 1.6 m long and 0.1 m diameter. The skin resistance may be
made negligible by soaking the hands in slat water. A lethal shock current needed is
100 mA. Note that a small amount of potential difference could be fatal if the skin is damp.
9.
The resistance between the hands is 10a (consider  = 3.2), then ‘a’ =
10.
Potential difference is needed between the hands for a lethal shock current is 4b, then
‘b’ = (in V)
Space For Rough Work
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6
IT−2025 (Common Test-2)-(PCM)
S
SE
EC
CT
TIIO
ON
N –– IIII :: C
CH
HE
EM
MIIS
ST
TR
RY
Y
(PART – A)
(Single Correct Answer Type)
This section contains 4 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out
of which ONLY ONE is correct.
(1) KMnO4 /H / 
HO − CH2 − CH2 − OH
3
⎯⎯⎯⎯⎯
→ (P ) ⎯⎯⎯⎯⎯⎯⎯→
( Q ) ⎯⎯⎯⎯⎯⎯→
(R )
Anhy.AlCl
2 H O+
+
CH COCl
1.
( )
3
3
The correct statement for (R) is
(A) it undergoes iodoform reaction
(B) on heating it forms a keto anhydride
(C) it responds to Tollen’s reagent test
(D) reaction of it, with LiAlH4 forms a dihydric alcohol
O
2.
HCl
⎯⎯⎯→ Major product
The major product is
O
(A)
O-H
(B)
Cl
Cl
O
O
(C)
Cl
(D)
Cl
3.
Which of the following compounds is most reactive towards nucleophilic addition
reactions?
(A)
(B)
(C)
(D)
Space For Rough Work
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7
4.
IT−2025 (Common Test-2)-(PCM)
COCl
CH CHO (1 eq)
→ (Q)
( ) ⎯⎯⎯⎯⎯⎯
NaOH, 
H2
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
→ P
Pd/BaSO4 /quinoline
3
The major product(Q) in above reaction is
(A) an , -unsaturated acid
(C) an , -unsaturated acid chloride
(B) an , -unsaturated aldehyde
(D) an , -unsaturated ketone
(One or More Than One Options Correct Type)
This section contains 3 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
O
5.
+
CH3MgBr /H3O
C2H5 CCH3 ⎯⎯⎯⎯⎯⎯⎯⎯⎯
→ (P )
Conc.H SO
(P ) ⎯⎯⎯⎯⎯→
( Q ) + (R )
Heat
2
4
O
O
→ CH3 CCH3 + ( S )
( Q ) ⎯⎯⎯⎯
Zn/H O
3
2
(R )
O3
⎯⎯⎯⎯
→
Zn/H2O
( T ) + HCHO
The correct statement(s) is/are
(A) P, Q and R are alcohols
Zn/Hg
CH3CH2CH2CH3
(B) ( T ) ⎯⎯⎯⎯→
Conc.HCl
→ CH3CHCH2CH2OH
(C) ( S ) ⎯⎯⎯⎯

(D) (Q) and (R) are position isomers
dil.NaOH
OH
6.
An organic compound C5H10O(A) reacts with phenylhydrazine and does not react with
Tollen’s reagent, but gives iodoform test. Compound A should not be
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8
7.
IT−2025 (Common Test-2)-(PCM)
+
NH2OH/H
CH3COC2H5 ⎯⎯⎯⎯⎯
→ (P) + (Q)
LiAlH
→ (R )
( Q) ⎯⎯⎯⎯
HNO
(R ) ⎯⎯⎯→
(S)
4
2
Among the unknown compounds.
(A) (R) is a secondary amine
(C) (S) is a secondary alcohol
(B) (P) and (Q) are geometrical isomers
(D) (Q) contains two pi-bonds
(PART – B)
(Non – Negative Integer)
1.
Total number of DBE present in the product obtained when cyclohexanone reacts with 2,
4-DNP is
2.
The number of aldol reaction(s) that occur in the given transformation is
OH
OH
Conc aq NaOH
CH3CHO + 4 HCHO ⎯⎯⎯⎯⎯⎯
→
HO
3.
OH
How many of the following compounds will show higher rate of nucleophilic addition than
CHO
H3C
CHO
,
OCH 3
4.
CHO
CHO
,
,
Cl
CHO
NO2
CHO
CHO
,
OH
,
CN
HCHO + NH3 ⎯⎯
→ Product (P )
Product(P) contains four nitrogen atoms and six carbon atoms and the rest are hydrogen
atoms.
If x = the number of C – N bonds present in (P).
y = the number of C – C bonds present in (P)
z = the number of C – H bond in (P)
What is the value of of (x + y + z)?
Space For Rough Work
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9
IT−2025 (Common Test-2)-(PCM)
5.
Reaction of three moles of CH3COCH3 with conc. H2SO4 forms(P). How many CH3 groups
are present in(P).
6.
A poly-hydric alcohol upon oxidation with HIO4 forms two moles of CH3CHO. How many
minimum number OH groups should be present in the alcohol?
(PART – B)
This section contains Two paragraphs. Each paragraph having TWO questions Numerical answer type with
answer XXXX.XX. For each question, enter the correct numerical value. If the numerical value has more than
two decimal places, truncate/round-off the value to TWO decimal places.
Paragraph for Question no. 7 to 8
O
CH 3CH = CHCH 2CCH 2CH = CHCH 3
Oxidation of the above compound with hot acidified permanganate solution forms two moles of (P)
and one mole of (Q). Heating of (Q) produces the organic compound (R) and CO2 gas.
Answer the following questions on the basis of above reactions.
7.
The mass percentage of oxygen atoms present in (P) is
8.
If the ratio of carbon to hydrogen atom present in (R) is x : y, then the value of
x+y
is
2
Paragraph for Question no. 9 to 10
Two moles of HCHO(P) react with conc. NaOH to form products(Q) and (R). Acidification of (Q)
produces the mono carboxylic acid(S). Reaction of (S) with SOCl2 produces the most unstable acid
chloride(T) which on heating produces two gases one of which is HCl.
Answer the following questions on the basis of above write up.
9.
What is the molar mass of (T) in g mol–1 unit?
10.
Heating
→ HCl + (U) 
( T ) ⎯⎯⎯⎯
If the molar mass of (U) in above reaction is x g mol–1, what is the value of
x
?
10
Space For Rough Work
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10
IT−2025 (Common Test-2)-(PCM)
S
SE
EC
CT
TIIO
ON
N –– IIIIII :: M
MA
AT
TH
HE
EM
MA
AT
TIIC
CS
S
(PART – A)
(Single Correct Answer Type)
This section contains 4 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out
of which ONLY ONE is correct.
1.
The difference between
f ( x ) = 3sin4 x − cos6 x is:
(A)
2.
3.
3
2
(B)
the
maximum
5
2
and
minimum
(C) 3
value
of
the
function
(D) 4
A function y = f ( x ) has a second order derivative f " ( x ) = 6 ( x − 1) . If its graph passes
through the point (2, 1) and at that point the tangent to the graph is y = 3x − 5 , then the
function is:
2
3
3
2
(A) ( x − 1)
(B) ( x − 1)
(C) ( x + 1)
(D) ( x + 1)
If (a, b) be the point on the curve 9y2 = x3 where normal to the curve make equal intercepts
with the axes, then the value of ( a + b) is:
(A) 0
4.
(B)
10
3
(C)
20
3
(D) None of these
The angle of intersection of the curves y = x2 and 6y = 7 – x3 at (1, 1) is



(A)
(B)
(C)
(D) none of these
4
3
2
(One or More Than One Options Correct Type)
This section contains 3 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
5.
x 3 5x 2
−
+ 7x − 4, where
3
2
the tangent drawn cuts off non zero intercepts from the coordinate axes which are equal in
magnitude but opposite in sign, is/are
 8
 7
 5
(A)  2, 
(B)  3, 
(C) ( 0, − 4 )
(D)  1, 
 3
 2
 6
The coordinates of the point(s) on the graph of the function, f ( x ) =
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11
6.
7.
IT−2025 (Common Test-2)-(PCM)
4
If Rolle’s Theorem holds over [1, 2] for the function f ( x ) = x3 + bx2 + cx such that f '   = 0 .
3
then
(A) b = –5
(B) b = 5
(C) c = 8
(D) c = –8
 x + 2; x  −1

For f : R → R, f ( x ) =  x 2 ; − 1  x  1, which of the following is (are) correct?

2
 ( x − 2 ) , 1  x
(A) f ( x ) has exactly one local maxima and exactly two local minima
(B) f ( x ) has exactly two local minima and exactly two local maxima
(C) f ' ( x ) changes its sign exactly thrice.
(D) f ( x ) is continuous  x  R
(PART – B)
(Non – Negative Integer)
1.
 x − 1 + , x  1
If f ( x ) = 
has a local minima at x = 1 , then maximum value of  equals to
x 1
 2 x + 3,
2.
2
If the function f ( x ) = 2x − ln x (where x  0 ) is increasing in the interval ( a, ) , then the


value of 4  a +
1
will be_______.
a 
(
)
x
, x  R, x   3 at a point (, )  (0, 0) on it is parallel
x −3
to the line 2x + 6y – 11 = 0 then |6 + 2| =
3.
If the tangent to the curve y =
4.
A cubic f(x) vanishes at x = –2 and has relative minimum/ maximum at x = –1 and x = 1/3. If
1
14
3
2
−1 f ( x ) dx = 3 , and f ( x ) = ax + bx + cx + d then find value of a + b + c + d .
5.
3
2
If the function f ( x ) = x − 6x + ax + b defined on [1, 3] satisfies the Rolle’s theorem for
c=
6.
2
( 2 3 + 1) then value of ‘a’ is
3
The volume of a cube is increasing at a rate of 7cm3 / sec . The rate at which the surface
(
area of the cube is increasing when edge length is 4cm is in cm2 / sec
)
Space For Rough Work
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12
IT−2025 (Common Test-2)-(PCM)
(PART – B)
This section contains Two paragraphs. Each paragraph having TWO questions Numerical answer type with
answer XXXX.XX. For each question, enter the correct numerical value. If the numerical value has more than
two decimal places, truncate/round-off the value to TWO decimal places.
Paragraph for Question no. 7 to 8
Let f(x) is a cubic polynomial which has local maximum at x = −1 , f ( 2 ) = 18 , f (1) = −1 and
f ' ( x ) has local minima at x = 0 .
7.
If the cubic polynomial is f ( x ) = ax3 + bx2 + cx + d , then the value of ‘a’ is
8.
If f ( x ) has local minimum at x =  , then the value of '  ' is
Paragraph for Question no. 9 to 10
Consider the curve x = 1 − 3t2,y = t − 3t3 . Tangent at point P ( −2, 2) cuts the curve again at
Q.
9.
If the coordinates of point Q are ( ,  ) then  = ?
10.
If angle between the tangent at P and Q is

, then  = ?

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13
IT−2025 (Common Test-2)-(PCM)
FIITJEE INTERNAL TEST
BATCHES: Two Year CRP(2325)
COMMON TEST– 2
Code: 100710
JEE ADVANCED LEVEL
ANSWER KEY
ANSWER KEYS
Physics
PART – A
1.
B
2.
B
3.
B
5.
AC
6.
ABCD
7.
AD
4.
C
PART – B
1.
2
2.
0
3.
6
4.
5
5.
4
6.
6
7.
2
8.
1.9
9.
3
10.
25
4.
B
4.
24
Chemistry
PART – A
1.
B
2.
A
3.
A
5.
BD
6.
BCD
7.
BC
PART – B
1.
8
2.
3
3.
4
5.
3
6.
2
7.
53.33 (range 53.3 to 53.4)
8.
1.5
9.
64.5
10.
2.8
Mathematics
PART – A
1.
D
2.
B
3.
C
5.
AB
6.
AC
7.
BD
4.
C
PART – B
1.
5
2.
10
3.
19
4.
3
5.
11
6.
7
7.
4.75
8.
1.00
9.
0.33
10.
2.00
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