FIITJEE – INTERNAL Phase Test

PHYSICS, CHEMISTRY & MATHEMATICS

QP CODE: 100655-0 PAPER - 2

BATCHES – Two Year CRP2325_Reshuffling Test

Time Allotted: 3 Hours 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. Attempt ALL the questions. Answers have to be marked on the OMR sheets.
2. This question paper contains Three Sections.
3. Section-I is Physics, Section-II is Chemistry and Section-III is Mathematics.
4. All the section can be filled in PART-A & B of OMR.
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 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 (01-04) 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.

(iv) Part-B (05-10) 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.

Name of the Candidate: ____________________________________________

Batch: ____________________ Date of Examination: ___________________

Enrolment Number: _______________________________________________

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 2 Two Year CRP2325_RT_Paper-2_Set-A

S
SEEC
CTTIIO
ONN –– II :: P
PHHY
YSSIIC
CSS
(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. If a and b are unit vectors such that a + 2b and 5a − 4b are perpendicular to each other.
Then angle between a and b is
0 −1  1  2
(A) 45 (B) 60 0 (C) cos   (D) cos −1  
3 7 

2. System shown in figure is released from rest pulley and spring is massless
and friction is absent everywhere. The speed of 5kg block when 2kg block
leaves the contact with ground is (K = 40 N/m & g = 10 m/s2)
(A) 2 m / s (B) 2 2 m/ s
(C) 2 m/s (D) 4 2 m/ s
5kg 2kg

3. A projectile is thrown with velocity u at an angle  above the horizontal. Find the average
velocity during the time of ascent
u sin 
(A) u cos (B)
2
u
(C) 1 + 3 cos2  (D) None of these
2

4. A force F is applied vertically upward to the pulley and it is F

observed that the pulley in the figure moves upward with a light pulley
uniform velocity of 2 m/s. The value of F in newton is:
(A) 150 g=10m/s
2

(B) 120
(C) 75
10kg 6kg
(D) 400
Ground
Space For Rough Work

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 3 Two Year CRP2325_RT_Paper-2_Set-A

(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. Potential energy associated with a conservative force is given by U = Ax2 where A is a

constant and x is co-ordinate of particle, then
(A) force always tends to accelerate the particle towards origin
(B) force always tends to accelerate the particle away from origin
(C) force always tends to accelerate the particle towards the origin if A is positive
(D) force always tends to accelerate the particle away from origin if A is negative

6. A uniform ring of mass M and radius R lies on a smooth

horizontal surface. An insect of mass m, initially resting on the
ring, starts moving round the ring with uniform velocity V
relative to the ring. Choose the correct option(s):
mR R
(A) The CM of the ring describes a circle of radius .
M+m
MR
(B) The CM of the ring describes a circle of radius .
M+m
(M + m)V
(C) The angular velocity of the insect about the CM of the system is .
R(M + 2m)
mV
(D) The angular velocity of the ring w.r.t. centre of the ring is .
R(M + 2m)

7. The two vectors A and B are drawn from a common point and C A B , then angle
between A and B is
(A) 90o if C2 = A2 + B2 (B) greater than 90o if C2 < A2 + B2
o 2 2 2
(C) greater than 90 if C > A + B (D) less than 900 if C2 < A2 + B2

(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. 1 to 2

A uniform chain of length l which has  mass

per unit length rests on a rough table so that one
end hangs over the edge. The chain slides off
the table all by itself when  fraction of the length
of the chain hangs, as shown in the figure. The
chain starts sliding from rest.

1. What will be the value of coefficient of friction of rough surface? (take:  = 0.25)

2. What will be the work done (in S.I. units) against friction till the end A of the chain leaves
the table? (take:  = 1 S.I. unit, g = 10 m/s2,  = 1 S.I. unit,  = 0.25)

Space For Rough Work

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 4 Two Year CRP2325_RT_Paper-2_Set-A

Paragraph for Question no. 3 to 4

O
In the adjacent figure, two identical beads of mass m
free to slide on a fixed smooth vertical ring are
attached to the free ends of two identical light springs
(2 + 3)mg
of spring constant k= .
3R

The other ends of the springs are fixed to the highest point O on the ring. Initially beads are
at rest and angle between the springs is 60º at the fixed point O. Normal length of each
spring is 2R, where R is the radius of the ring. Beads are initially symmetric w.r.t. the vertical
diameter.

3. Normal reaction (in newton) on one of the bead at initial moment due to ring is (take
m = 3 kg, g = 10 m/s2)

4. Relative acceleration between two beads at the initial moment (in m/s2)

(PART – B)
(Non – Negative Integer)

5. A circular disc with a groove along its diameter is

placed horizontally. A block of mass 1kg is placed as
shown. The co efficient of friction between the block
a=20 m/s2
2
and all surfaces of groove in contact is . The disc
5
has an acceleration of 20 m/s2. Then acceleration of the 
block w.r.t disc will be in nearest integer.( = 370)

6. Two identical thin rods, each of mass ‘m’ and length ‘’ are joined at ends so that angle
between them is 90° and they form shape ‘L’. Radius of gyration of this system about an axis
perpendicular to each rod and passing through their common end is ‘k’ cm. The value of
‘k’ is: (Take m = 2 kg and  = 20 3 cm ).

a(m/s2)
10
7. The acceleration-time graph of a particle moving along
a straight line is as shown in figure. At what time
(in sec) the particle acquires its initial velocity?
t(s)
O 4

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 5 Two Year CRP2325_RT_Paper-2_Set-A

8. A system (L shaped) of two identical rods each of mass m and length l are resting on a peg
P shown in the figure. If the system is displaced in its plane by a small angle , then period
kl
of oscillation is given by 2 . Find the value of k2 =
3g

P
l l

9. Coefficient of friction between two blocks shown in figure is 1 kg 2 m/s

 = 0.5. Floor is smooth. The blocks are given velocities of
2 kg 8 m/s
2 m/s and 8 m/s in the directions shown in figure at t = 0. The
time when relative motion between them will stop is (in sec.)
k
, then ‘k’ is:
100

10. A plane progressive wave of frequency 25 Hz, amplitude 2.5  10−5 m, and initial phase zero
moves along the negative x axis with a velocity of 300 m/s. A and B are two points at a
separation of 6m in the line of propagation of the wave. At any instance the phase difference
x
between them is radian. Find the value of ‘x’.
20
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 6 Two Year CRP2325_RT_Paper-2_Set-A

S
SEEC
CTTIIO
ONN –– IIII :: C
CHHE
EMMIIS
STTR
RYY
(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.
o
1. The de-Broglie wavelength of a microscopic particle of mass 6  10–34 kg is 1 A . What is the
kinetic energy of the particle in J/particle unit? [h = 6  10–34 Js]
(A) 6  10–15 (B) 18  109
(C) 3  10–14 (D) 36  1010

2. The decreasing order of number of nodal planes of the given molecular orbitals is
(A) p*  p  p*  p (B) p*  p = p*  s*
(C) p*  p*  p  s* (D) p*  p*  p  s*

3. Boron cannot form which of the following anion?

−
(A) BH−4 (B) B ( OH)4
(C) BO2− (D) BF63 −

4. t¼ is the time taken for the concentration of a reactant to drop to ¾ of its initial value. If the
rate constant of the first order reaction is k, then t¼ can be written as
0.29 0.69
(A) (B)
k k
0.75 0.1
(C) (D)
k k

(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. The correct statement(s) for the following addition reactions is/are

H3C H
Br2 /CHCl3
(i) ⎯⎯⎯⎯⎯ → M and N
H CH3

H3C CH3
(ii) Br /CHCl
⎯⎯⎯⎯⎯
2 3
→ O and P
H H
(A) O and P are identical molecules.
(B) bromination proceeds through anti-addition in both the reactions.
(C) (M and O) and (N and P) are two pairs of enantiomers.
(D) (M and O) and (N and P) are two pairs of diastereomers
Space For Rough Work

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 7 Two Year CRP2325_RT_Paper-2_Set-A

6. H2 A ( aq) HA − ( aq) + H+ ( aq) ,K a1 = 10−6

HA − ( aq) A 2− ( aq) + H+ ( aq) ,K a2 = 10−8

Choose correct statement(s)
(A) The equilibrium constant of the reaction HA − ( aq) + H2O H2A (aq) + OH− (aq) is
10–8.
(B) pKb of A2– = 6
(C) 1 < 2 [1 = degree of dissociation of H2A, 2 = degree of dissociation of HA-]
(D) [H+]Total = C1 + C2 [where [H2A]0 = C]

7. Which of the following substance(s) is/are more basic than NH2 ?

CH 2NH 2 NH2

(A) (B)

NO 2
NH2
NH - CH 3

(C) (D)

CH3

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 8 Two Year CRP2325_RT_Paper-2_Set-A

(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. 1 to 2

An alicyclic compound(P) containing an OH group undergoes dehydration in presence of hot conc.

H2SO4 to form products Q, R and S. The products undergo ozonolysis and oxidation reaction as
follows:
O O
O
Q ⎯⎯⎯⎯
3
→ CH3 − C − CH2 − CH2 − CH2 − CH2 − C − CH3
Zn/H2O
O CH3
KMnO−4 /H+ (normal condition )
R ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ → CH3 − C − CH − CH2 − CH2 − CH2 − COOH


O
S ⎯⎯⎯⎯3
Zn/H O
→ + HCHO
2

1. If the mass percentage of hydrogen present in (P) is x%, what is the value of x?

2. If the percentage of number of asymmetric carbon atoms out of total number of carbon
X
atoms present in (P) is x%, what is the value of ?
10

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 9 Two Year CRP2325_RT_Paper-2_Set-A

Paragraph for Question no. 3 to 4

A
8 C

P (in atm)

4 B

4.105 8.21
V (in L)

A cyclic and reversible process has been given for one mole of an ideal gas in above PV diagram.
[R = 8 JK–1 mol–1, 1 L-atm = 101.3 J, log2 = 0.3]

A B
3. If the work done along path is expressed as –x kJ mol–1, what is the value of x?

4. If the heat change along path C → A is expressed as –x kJ mol-1, what is the value of x?
 5R 
 CP = 2 
 

(PART – B)
(Non – Negative Integer)

5. In a first order chemical reaction, 10% of the reactants cross the energy barrier at 500 K.
What is the activation energy of the reaction in J unit?[R = 8 JK-1 mol–1]

6. The value of ‘a’ and ‘b’ (Van der Waal’s constants) for real gases are given below:
Gas (‘a’) in atm L2mol–2 (b  102) in L mol–1
A 10 8
B 12 6
C 16 9
D 9 4
a
What is the value of for the most easily liquefiable gas in atm L mol–1 unit?
b
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 10 Two Year CRP2325_RT_Paper-2_Set-A

7. The solubility product of a sparingly soluble salt BaSO4 is 1  10-10 at 298 K. The solubility of
BaSO4 in 0.1 M K2SO4 solution is y  10-9 g/L. What is the value of ‘y’?
(Given: Molar mass of BaSO4 is 233 g mol–1)

8. There are a number of structural isomers containing four membered rings with formula
C6H12. Let X is a structural isomer which contains two 3o-carbon atoms and Y is another
structural isomer containing also two 3o-carbon atoms. What is the sum of the number of
monochloro products that can be formed by X and Y without considering stereoisomers?

9. A container contains 400 mL of 0.5 M HCl. 200 mL of 0.5 M NaOH solution was added to the
container. Finally 400 mL of 0.1 M NaCl solution is also added to the container. What is the
pH of the resultant solution?

10. CH3

H3C
→ N ( isomeric products ) C5H11Cl
Cl /h 
⎯⎯⎯⎯
2
CH3

Fractional distillation

M(Number of fractions)
What is the value of (M + N)?
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 11 Two Year CRP2325_RT_Paper-2_Set-A

S
SEEC
CTTIIO
ONN –– IIIIII :: M
MAAT
THHE
EMMA
ATTIIC
CSS
(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. Let ( x0 , y0 ) be the solution of the following equations:

( 2x ) = ( 3y )
In2 In3

3ln x = 2ln y
Then x0 equals
1 1
(A) (B)
6 3
1
(C) (D) 0
2

2. lim
(1 − cos 2x )(3 + cos x ) is equal to:
x →0 x tan 4x
1
(A) (B) 1
2
1
(C) 2 (D) −
4

3. Let a and b respectively be the semi – transverse and semi – conjugate axes of a hyperbola
whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0 . If S (5, 0) is a focus and 5x = 9
is the corresponding directrix of this hyperbola, then a2 − b2 is equal to
(A) –7 (B) –5
(C) 5 (D)7

4. Let L be the line passing through the point P (1, 2) such that its intercepted segment
between the co – ordinate axes is bisected at P. If L 1 is the line perpendicular to L and
passing through the point (–2, 1), then the point of intersection of L and L 1 is
 4 12   11 29 
(A)  ,  (B)  , 
5 5   20 10 
 3 17   3 23 
(C)  ,  (D)  , 
 10 5   5 10 
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 12 Two Year CRP2325_RT_Paper-2_Set-A

(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. The equation of the tangents to the hyperbola x2 − 4y2 = 36, which are perpendicular to the
line x − y + 3 = 0 is (are)
(A) x + y + 3 = 0 (B) x + y + 3 3 = 0
(C) x + y − 3 3 = 0 (D) x + y − 3 = 0

6. If a, b, c are in H.P., then

a b c 2 1 1
(A) , , are in H.P. (B) = +
b+c −a c +a−b a +b −c b b−a b−c
b b b a b c
(C) a − , , c − are in G.P. (D) , , are in H.P.
2 2 2 b+c c +a a+b

7. If the equation x 2 + 9 y 2 − 4 x + 3 = 0 is satisfied for real values of x & y, then exhaustive

values of x and y are
(A) 1 x  3 (B) 2  x  3
(C) 1  x  1 (D) − 1  y  1
3 3 3

(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. 1 to 2

ABC be a triangle with A (1, 3) and internal angle bisector of the angles B and C be y = x and
y = –2x respectively.

1. If equation of the side BC is ax + by − 1 = 0 , then a + b will be equal to

2. Length of the in-radius of ABC is

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 13 Two Year CRP2325_RT_Paper-2_Set-A

Paragraph for Question no. 3 to 4

Different words are being formed by arranging the letters of the word ‘ARRANGE’

3. The number of words in which neither two ‘R’ nor two ‘A’ come together is

4. The number of words in which at least one vowel is in between any two consonant is

(PART – B)
(Non – Negative Integer)

5. The number of seven digit integers, with sum of the digits equal to 10 and formed by using
n
the digits 1, 2 and 3 only, is n . The value of is ______.
11

 4
6. A variable circle whose centre lies on y2 = 36 intersect xy =16 at  4ti ,  ,i = 1 to 4 then
 ti 
1 1 1 1
+ + + equal to
t1 t 2 t3 t 4

7. The number of solutions of sin−1 ( x ) + cos−1 ( x ) = sec −1 ( x ) + cosec −1 ( x ) is

8. If the value of tan 100º + 4 sin 100º is  , then find the value of  2

9. The chord of contact of the pair of tangents drawn from points on the line 2x + y = 4 to the
 1 1
circle x2 + y2 = 1 passes through a fixed point M (a, b). The value of  +  , is equal to
a b

sin1 + sin3 + sin5 + sin7

10. The value of is_______.
cos 1. cos 2. sin 4

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14 Two Year CRP2325_RT_Paper-2_Set-A

FIITJEE INTERNAL TEST

BATCHES: Two Year CRP2325
Reshuffling Test: PAPER-2
Code: 100655-0
JEE ADVANCED LEVEL
ANSWER KEY
ANSWER KEYS
Physics
PART – A
1. B 2. B
3. C 4. B
5. CD 6. ACD
7. AB
PART – B
1. 0.33 2. 0.94 (range: 0.93 to 0.95) 3. 30
4. 11.55 (range: 11.54 to 11.56) 5. 7 6. 20
7. 8 8. 8 9. 80 10. 20

Chemistry
PART – A
1. C 2. B 3. D 4. A
5. BD 6. AB 7. ACD
PART – B
1. 12.5 2. 2.5 3. 2.2 [range 2.1 to 2.3]
4. 8 5. 9212 6. 225 7. 233
8. 6 9. 1 10. 10

Mathematics
PART – A
1. C 2. C 3. A 4. A
5. BC 6. ABCD 7. AD
PART – B
1. 1 2. 1 3. 660 4. 36
5. 7 6. 3 7. 2 8. 3
9. 6 10. 4

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