Fiitjee Phase Test 1 (Class 11th),Jee Advance Paper 1

FIITJEE PHYSICS, CHEMISTRY & MATHEMATICS CPT1 - 1

CODE:

Time Allotted: 3 Hours  

PAPER - 1 Maximum Marks: 210

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.

BATCHES – 1416

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 Parts. Section-1 is Physics, Section-2 is Chemistry and Section-3 is Mathematics. Each Section is further divided into two parts: PART-A & PART-C 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 HB pencil 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 Three Parts. (i)

Part-A (01 – 10) contains 10 multiple choice questions which have only one correct answer. Each question carries +3 marks for correct answer and – 1 mark for wrong answer. Part-A (11 – 15) contains 5 multiple choice questions which have one or more than one correct answer. Each question carries +4 marks for correct answer. There is no negative marking.

(ii) Part-C (01 – 05) contains 5 Numerical based questions with single digit integer as answer, ranging from 0 to 9 and each question carries +4 marks for correct answer. There is no negative marking.

Name of the Candidate :____________________________________________ Batch :____________________ Date of Examination :___________________ Enrolment Number :_______________________________________________

FIITJEE Ltd., North West Delhi Centre, 31-32-33, Central Market, West Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 [

Two Year CRP(1416) -PT-1_Paper-1-PCM-IITJEE/16

2

S SE EC CT TIIO ON N--1 1 :: P PH HY YS SIIC CS S PART – A (Single Correct Choice Type) This section contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1.

2.

3.

4.

5.

6.

Three blocks (m1, m2 & m3) are slid at constant velocity across a rough surface as shown. The coefficient of kinetic friction between each block and the surface is . What would be the force due to m1 on m2? (A) F – (m2 – m3)g (B) (m2 + m3)g (C) m1g – (m2 + m3)g (D) (m1 + m2 + m3) Two different masses are connected to two strings as shown in the figure. Both masses rotate about a central fixed point with angular velocity 10 rad/s on a smooth horizontal plane. The ratio of tension T1/T2 in the string is (A) 11/9 (B) 9/8 (C) 8/9 (D) 9/11

v

m3

m2

F

m1

R2 R1 T1

T2 M2 M1

M1 = 0.25 kg M2 = 1.0 kg R1 = 5 cm R2 = 10 cm

A ball is attached to a string and moves in a vertical circle. The string is always taut and there are absolutely no resistive forces. Which of the following statements is most correct: (A) the net force on the ball is always vertical. (B) the net force on the ball is always perpendicular to the velocity vector of the ball. (C) the net force on the ball is always towards centre. (D) the tension in the string is greatest when the ball is at its lowest point.  The work done by the force F  x 2 ˆi  y 2 ˆj around the path shown in the figure is 2 (A) a3 (B) zero 3 4 (C) a3 (D) a3 3

Y (0, a)

C

O (0, 0)

B(a, a)

A (a, 0)

X

A particle moves along the y-axis of a coordinate system, with a force component Fy = (2N/m3)y3 acting on it. As the particle moves from the origin to y = 3 m, how much work is done on it by the force? (A) 0 J (B) 40.5 J (C) –40.5 J (D) 162 J  A cannon ball of mass in m is fired with an initial velocity u  ux ˆi  uy ˆj , which makes an

angle  = tan–1(uy/ux) with respect to the horizontal. What is the work done by gravity on the cannon ball till it reaches the peak (i.e., highest elevation) of its trajectory? 1 1 (A) mu2y (B) mu2x 2 2 1 1 (C)  mu2y (D)  mu2x 2 2 FIITJEE Ltd., North West Delhi Centre, 31-32-33, Central Market, West Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000 [


7.

3

In the figure, the ball A is released from rest, when the spring is at its natural (unstretched) length. For the block B of mass M to leave contact with ground at some stage, the minimum mass of A must be (A) 2 M (B) M (C) M/2 (D) M/4

A

B M

8.

Three particles start from the origin at same time one with a velocity v1 along x –axis, the second along y – axis with a velocity v2 and third along the x = y line. The velocity of the third, so that three may always lie on the same line is v  v2 (A) 1 (B) v1v 2 2 v1v 2 2v1v 2 (C) (D) v1  v 2 v1  v 2

9.

At a given instant, an observer stationary on the ground sees a package falling with speed v1 at some angle with the vertical. A pilot flying at a constant horizontal speed relative to the ground sees the package falling vertically with a speed v2 at the same instant. What is the speed of the pilot relative to the ground? (A) v1 + v2 (B) v1 – v2 (C)

10.

v12  v 22

(D)

v12  v 22

An elevator is moving upwards with constant acceleration. The dashed curve in the figure shows the position y of the ceiling of the elevator as a function of time t. At the instant indicated by the point P a bolt breaks loose and drops from the ceiling. Which of the solid curves shown best describes the position of the bolt as a function of time? (A) I (B) II (C) III (D) IV

y

P I

IV III

II

t

(Multi Correct Choice Type) This section contains 5 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE OR MORE may be correct. 11.

Choose the correct option(s) (A) If only conservative forces act on a particle, the kinetic energy stays constant. (B) If the net force acting on an object is zero, then the object is at rest. (C) If net mechanical work is done on a body, the velocity body must change. (D) If net mechanical work is done on a body, the speed of body must change.

12.

A person pulls a block across a rough horizontal surface at a constant speed by applying a force F. The arrows in the figure correctly indicate the directions, but not necessarily the magnitudes of the various forces on the block. Which of the following relations among the force magnitudes W, fk, N and F must be true? (A) F = fk (B) F > fk (C) N < W (D) N > W

N F fk

v W



13.

14.

15.

4

A block is stationary relative to a moving inclined plane. No other information is given. The frictional force on the block can be (A) zero (B) downward (C) upward (D) >mg

m  

Three blocks a, b, and c of masses 10 kg, 10 kg and 20 kg are arranged as shown in figure. All the surfaces are frictionless and string is inextensible. Pulleys are light. A constant force F = 20 N is applied on block a as shown. Pulleys and string are light. Part of the string connecting both pulleys is vertical and part of the strings connecting pulleys with masses m1 and m2 are horizontal. (A) Acceleration of mass blocks a, b and c is 0.5 m/s2. (B) Acceleration of mass block b is 1. (C) Tension in the string is 10 N. (D) Acceleration of mass block c is 0.5

b c

a

F

Choose correct option(s) (A) It is possible for an object to accelerate (a  0) and still have a constant speed. (B) It is possible for an object to accelerate (a  0) and still travel in a straight path. (C) It is possible for an object to accelerate (a  0) and still have a constant velocity. (D) It is not possible for an object to have acceleration & yet have no displacement in a time interval.

PART – C (Integer Type) This section contains 5 questions. The answer to each question is a single-digit integer, ranging from 0 to 9. The correct digit below the question number in the ORS is to be bubbled. 1.

If the area of a parallelogram whose diagonals are represented by ( 3iˆ  ˆj  kˆ ) and y ( iˆ  ˆj  kˆ ) is then y is 2

2.

A particle B of mass 5 kg is attached to a frictionless pivot, A, by a thread of length d = 0.2 m so that B hangs freely. At some instant of time a strong wind begins to apply a constant horizontal force F = 100 N on B, as a result it rotates about A in a vertical plane. Find the speed (in m/s) of B at the instant when the string is horizontal.

A v g d

F

B

3.

A small particle slides from height H = 45 cm as shown and then loops inside the vertical loop of radius R from where a section of angle  = 60° has been removed. If R = (1/N) meter, such that after losing contact at A and flying through the air, the particle will reach at the point B. Find N. Neglect friction everywhere.

B 60°

A

H R

4.

At what angle 0 (is /n) should a shell be fired if at the top of its trajectory its path has a radius of curvature equal to twice the maximum height of the trajectory. Then ‘n’ is

5.

A block of mass ‘M’ = 2 kg rests on the top of a smooth horizontal fixed table top, resting inside a rail car, which is moving with a constant velocity V0 = 2m/s over a horizontal track. FIITJEE Ltd., North West Delhi Centre, 31-32-33, Central Market, West Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000

[


5

A person P riding in the car pushes the block with a horizontal force F = 1 N in the direction of velocity for a time ‘t’ = 2 sec. Then at the end of this interval, the kinetic energy (in J) of the block as assessed by P is less than that computed by another person Q standing at rest on the ground by a value of ___________Joule.



6

S SE EC CT TIIO ON N--2 2 :: C CH HE EM MIIS ST TR RY Y PART – A (Single Correct Choice Type) This section contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1.

Which of the following molecule has the lowest value of dipole moment? (A) OF2 (B) OCl2 (C) OBr2 (D) H2O

2.

Which of the following is an exothermic process? (A) N  g  e    N  g (B) O  g  e    O  g (C) S   g  e    S2  g

3.

(D) Na  g   Na   g  e 

How many moles of C2O24 (oxalate ions) can be completely oxidized by one mole of MnO4 ions in acidic medium? MnO4  C2O24  H   Mn2  CO2  H2O (A) 3 (B) 5 (C) 2.5 (D) 10

4.

Which of the following statement is correct regarding the compressibility factor(Z) of a gas at Boyle temperature? (A) Z > 1 at high pressure and Z < 1 at low pressure (B) Z = 1 at all pressure range (C) Z = 1 at low pressure and Z > 1 at high pressure (D) Z = 1 at low pressure and Z < 1 at high pressure

5.

Which of the following substance is not a product of the following reaction? NaOH  NO2   Pr oduct (A) NaNO3 (B) NaNO2 (C) Na2O (D) H2O

6.

Which of the following metal oxide is not reduced to the corresponding metal with hydrogen? (A) PbO (B) CaO (C) CuO (D) Ag2O

7.

Which of the following electron has the maximum value of orbital angular momentum? (A) The valence electron of potassium (B) The unpaired electron of chlorine (C) The highest energetic electron of zinc (D) The lowest energetic electron of zinc

8.

In which of the following option, the central atoms of the given species undergo same type of hybridization? (A) ICl2 and ICl2 (B) SO32 and NH2 (D) CO32 and SO32

(C) XeF2 and BeF2 9.

Which of the following change takes place with least amount of energy? (A) C 2s2 2p2  (B) Si 3s2 3p2   C 2s1 2p3  Si 3s13p3







2

(C) Cr 4s 3d

4





  Cr  4s 3d  1

5







2

(D) Ge 4s 4p

2





  Ge  4s 4p  1

3



10.

7

Which of the following acid has identical value of normality and molarity? (A) H2CO3 (B) H3PO3 (C) H3BO3 (D) H3PO4


The bond order of which of the following molecule(s) or ion(s) is/are greater than one? (A) BF3 (B) CO32 (C) NF3

(D) NH4

12.

H3PO 4  2NaOH   Na2HPO 4  2H2O Which of the following statement(s) is/are correct for the above reaction? (A) The equivalent mass of H3PO4 is 49. (B) The acidity of NaOH is 2. (C) H3PO4 will be the limiting reactant if equal mass of H3PO4 and NaOH are taken for the reaction. (D) The maximum n-factor of H3PO4 can be three.

13.

Which of the following elements are correctly arranged with respect to their second ionization energy? (A) O > N (B) B > C (C) Cu > Zn (D) C > Si

14.

Which of the following substance(s) produce(s) gases on heating? (A) Ca(HCO3)2 (B) Na2CO3 (C) NaNO3 (D) KNO2

15.

Which of the following metal(s) with their given work function(s) in the bracket, will show photoelectric effect when light of 300 nm wavelength falls on them? (A) Cu(4.8 eV) (B) Li(3.2 eV) (C) Mg(4.6 eV) (D) K(2.2 eV)


A vessel contains SO2 and CH4 gases in molar ratio of 2: 3. If the simplest ratio of their relative rate of effusion through a small orifice is x : y, then (x + y) is:

2.

How many of the following substance(s) produce(s) gas(es) when react(s) with water? Na2O, KO2, Ca3N2, Mg2C3, NaNO3, CaH2, MgSO4, Na2CO3, Ca3P2 and BaO2

3.

300 mL of 0.4 N solution of MnO4 exactly oxidises 0.04 mole of a metal in +2 oxidation state in acidic medium. If the oxidation number of the metal after oxidation is +x, the value of ‘x’ is:

4.

The dipositive(2+) ions of how many of the following atoms(s) contain(s) unpaired electrons? Li, Mg, Fe, Al, Cl, Ca, Zn, Ni, Ti, S, P and Si FIITJEE Ltd., North West Delhi Centre, 31-32-33, Central Market, West Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000

[


5.

8

In how many of the following compound(s), the central atom(s) use(s) d-orbitals for bond formation? NH3, SO2, SO3. SF2, SF4, PF5, XeF2, POCl3, ClF3 and IF7



9

S SE EC CT TIIO ON N--3 3 :: M MA AT TH HE EM MA AT TIIC CS S PART – A (Single Correct Choice Type) This section contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1.

The equations of the diagonals of the square formed by the pairs of straight line 3x 2  8xy  3y 2  0 and 3x 2  8xy  3y 2  2x  4y  1  0 are (A) x  2y, 4x  2y  1  0 (B) 2x  y  0, 2x  4y  1 (C) x  2y, 2x  4y  1 (D) 2x  y  0, 4x  2y  1  0

2.

If the slope of one of the lines represented by ax 2  2hxy  by 2  0 is the square of the other, then a  b 8h2 a  b 8h2 (A) (B)  6  0 h ab h ab a  b 8h2 a  b 8h2 (C) (D)  0  0 h ab h ab

3.

The difference between the slopes of the pair of straight line tan2   cos2  x 2  2xy tan   y 2 sin2   0 is





(A) 1 (C) 3 4.

5.

(B) –1 (D) 2

The angle between the lines represented by x cos 1  y sin 1  p1 and x cos 2  y sin 2  p2 is (A) 90o   1  2 

(B) 180o   1  2 

(C) 1  2

(D) 1  2





Number of non zero integer values of k for which the points k,k 2 lies inside the triangle formed by the lines 11x  6y  14  0, 9x  y  12  0, 2x  5y  17  0 is (A) 0 (B) 2 (C) 3 (D) 4

6.

The area bounded by the curves x  2 y  1 and x = 0 is

1 4 (C) 1 (A)

7.

8.

1 2 (D) 2 (B)

If sin      sin       sin   2 sin   sin   ,0  , ,    sin x  sin  y  sin   0 passes through (A) (-1, 1) (B) (1, 1) (C) (1, -1) (D) (-1, -1)

then the family of lines

The number of real solutions of the equation log (-x) = 2log (x + 1) is (A) zero (B) one (C) two (D) three FIITJEE Ltd., North West Delhi Centre, 31-32-33, Central Market, West Avenue Road, Punjabi Bagh (West), New Delhi - 110026, Ph: 011-45634000

[


9.

If cos   cos   sin   sin , then cos 2  cos 2 is equal to (A) 2 sin     

(B) 2 cos     

(C) 2 sin      10.

10

(D) 2 cos     

If 2cos   sin   1, then 7 cos   6 sin  equals (A) 1 or 2 (B) 2 or 3 (C) 2 or 4 (D) 2 or 6


A line which makes an acute angle  with the positive direction of x – axis is drawn through the point P (3, 4) to meet the line x = 6 at R and y = 8 at S, then (A) PR  3 sec  (B) PS  4 cos ec 2  3 sin   4 cos   9 16  1 (C) PR  PS  (D) 2 2 sin 2 PR  PS 

12.

If x  sec   tan  and y  cos ec  cot , then y 1 y 1 (A) x  (B) x  y 1 y 1 1 x (C) y  (D) xy  x  y  1  0 1 x

13.

A ray of light is sent along the line 3x  y  9  0 . Upon reaching the line 2x  7y  8  0, the ray gets reflected from it. Then. (A) equation of the reflected ray is the form 3x  y  9    2x  7y  8   0 where  is a real number (B) equation of the reflected ray is 129x  107y  269  0 (C) equation of the reflected ray is 107x  129y  269  0

 55 6  (D) the ray of light hits the line 2x  7y  8  0 at the point  ,   19 19  14.

The equation of a circle in which the chord joining the points (1, 2) and (2, –1) subtends  an angle of at any point on the circumference is 4 (A) x 2  y 2  5  0 (B) x 2  y 2  6x  2y  5  0 (C) x 2  y 2  6x  2y  15  0

15.

(D) x 2  y 2  2x  4y  4  0

A square is inscribed in the circle x 2  y 2  10x  6y  30  0 . One side of the square is parallel to y  x  3, then one vertex of the square is (A) (5,1) (B) (7,3) (C) (3, 3) (D) (5, 5)



11


If the lengths of direct and transverse common tangent to two circles x 2  y 2  14x  4y  28  0 and x 2  y 2  14x  4y  28  0 are  and  the value of  must be 2

2.

If a, b, c be the sides of a triangle ABC with right angle at C. The medians AD and BE have slopes 1 and 2 respectively. Then ab = kc2 where 36 I k I equals_____________

3.

A point P is selected inside an equilateral triangle. If sum of lengths of perpendicular length of altitude of triangle dropped on to sides from P is 2014, then is equal to 2014 _______

4.

If a + b = 3 – cos4 and a – b = 4sin2, then ab is always less than equal to

5.

Tangents are drawn from P (6, 8) to the circle x 2  y 2  r 2 , then the radius of the circle such that the area of the  formed by tangents and chord of contact is maximum must be


12


FIITJEE INTERNAL TEST Batches: Two Year CRP(1416) IIT – JEE 2016 PHASE – I PAPER – I ANSWERS QP CODE: SECTION – I (PHYSICS)

SECTION – II (CHEMISTRY)

SECTION – III (MATHS)

PART – A

PART – A

PART – A

Q.N.

Ans.

Con.Code

Q.N.

Ans.

Con.Code

Q.N.

Ans.

Con.Code

1.

B

P110404

1.

A

C110304

1.

B

M110722

2.

B

P110414

2.

B

2.

A

M110730

3.

D

P110414

3.

C

C111102

3.

D

M110731

4.

B

P110507

4.

C

C111203

4.

C

M110710

5.

B

P110507

5.

C

C110809

5.

C

M110712

6.

C

P110507

6.

B

C111003

6.

B

M110708

7.

C

P110513

7.

C

C110103

7.

A

M110723

8.

D

P110320

8.

B

C110305

8.

B

M110202

9.

C

P110320

9.

C

C110111

9.

B

M111305

10.

D

P110320

10.

C

C110207

10.

D

M111304

11.

CD

P110502

11.

AB

C110307

11.

ABCD

M110715

12.

BC

P110404

12.

ACD

C111101

12.

BCD

M111402

13.

ABCD

P110404

13.

ABCD

C110703

13.

ACD

M110723

14.

BC

P110404

14.

AC

14.

AB

M110801

15.

AB

P110413

15.

BD

15.

ABCD

M110802

PART – C

C110704, C110703

C110808, C110908 C110103

PART – C

1.

4

P110204

1.

4

2.

2

P110502

2.

5

3.

5

P110513

3.

5

4.

4

P110316

4.

5.

8

P110507

5.

PART – C 1.

9

M110813

2.

8

M110710

C111102

3.

1

M110707

8

C110112

4.

1

M111411

8

C110305

5.

5

M110811

C111208 C110802, C110902


Fiitjee Phase Test 1 (Class 11th),Jee Advance Paper 1

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