14-07-14_jr.coipl_jee-adv_(2013_p2)_wta-10_q'paper

Narayana Sri Chaitanya IIT Academy

Sri Sarvani Educational SocietyCOMMON CENTRAL OFFICE_MADHAPUR_HYD

Sec: Jr.IPLCO JEE-ADVANCED Date: 14-07-14Time: 3 Hours WTA – 10 Max Marks:180

JEE-ADVANCED-2013-P2-ModelPHYSICS:

Section Question Type+VeMark

s

- VeMark

sNo.of

QsTotal mark

sSec – I(Q.N : 1 – 8) Questions with Multiple Correct

Choice 3 -1 8 24

Sec – II(Q.N : 9 – 16)Questions with Comprehension Type(4 Comprehensions – 2 +2+2+2 = 8Q)

3 -1 8 24

Sec – III(Q.N : 17 – 20) Matrix Matching Type 3 -1 4 12Total 20 60

CHEMISTRY:Section Question Type

+VeMark

s

- VeMark

sNo.of

QsTotal mark

sSec – I(Q.N : 21 –28) Questions with Multiple Correct

Choice 3 -1 8 24

Sec – II(Q.N : 29 – 36)

Questions with Comprehension Type(4 Comprehensions – 2 +2+2+2 = 8Q)

3 -1 8 24

Sec – III(Q.N : 37 – 40) Matrix Matching Type 3 -1 4 12

Total 20 60MATHEMATICS:

Section Question Type+VeMark

s

- VeMark

sNo.of

QsTotal mark

sSec – I(Q.N : 41 – 48) Questions with Multiple Correct

Choice 3 -1 8 24

Sec – II(Q.N : 49 – 56)

Questions with Comprehension Type(4 Comprehensions – 2 +2+2+2 = 8Q)

3 -1 8 24

Sec – III(Q.N : 57 – 60) Matrix Matching Type 3 -1 4 12

Total 20 6014-07-14_Jr.IPLCO_Weekend Syllabus

Physics:

Circular Motion(Excluding verticle circle): Kinematics,Dynamics(centripetal force,centrifugal force),banking,Angle of banking and problems on

these topics (60%) & Friction: A solid surface relatively at rest on another solid surface, static friction as a force opposing the tendency of

relative motion on the other surface. Limiting friction, coefficient of static friction, Difference between fs,max/fs and static friction as a self

adjusting force, angle of friction. Direction of static friction, related Numerical problems,Friction as the cause of motion (walking, vehicles etc).

Narayana Sri Chaitanya IIT Academy 14/07/14_Jr.IPLCO_JEE-ADV(2013_P2)_WTA-10 Minimum force required to move a block on a fixed horizontal surface on another block with horizontal surface,A solid surface moving

relatively on another solid surface. Kinetic friction (Dynamic or sliding friction). Coefficient of kinetic friction. Direction of Kinetic

friction,Cause of static friction, cause of kinetic friction, methods to reduce friction, Advantages and disadvantages of friction, Dependence of

friction on area of contact, polishing a surface, A block on a fixed rough inclined plane, angle of repose,cases and acceleration down the plane.

Body projected up the inclined plane etc,Miscellaneous problems on Friction(40%)

Chemistry:

Ionic Equilibrium:Theories of acid & bases – Arhenius, Bronsted-Lowry and Lewis theory, Ionic product of water and pH scale, pH calculation

involving strong and weak acids and bases, Levelling effect, Common ion effect (40 %) & Dissociation of polyprotic acids, Salt hydrolysis,

Buffer solutions, Theory of indicators, Solubility of sparingly soluble salts and solubility product (60 %)

Mathematics:

SECTION FORMULA, AREA OF TRIANGLE , LOCUS, TRANSFORMATIONS OF AXES

PHYSICS Max Marks : 60

SECTION -1(One or more options correct Type)

The section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE and MORE are correct. 1. A particle is revolving in a circle with increasing its speed uniformly. Which of the

following is constant?

a) Centripetal acceleration b) Tangential acceleration

c) Angular acceleration d) Angular velocity

2. A small particle of mass 0.36 g rests on a very rough horizontal turntable at a distance

25 cm from the axis of spindle. The turntable is accelerated at a rate of .

The magnitude of frictional force that the table exerts on the particle at time of 2s from

starting is

Space for rough work 2

Narayana Sri Chaitanya IIT Academy 14/07/14_Jr.IPLCO_JEE-ADV(2013_P2)_WTA-10

a) b) c) d)

3. The length of a pendulum is L and it is moving as a conical pendulum. What is the minimum angular velocity w.r.t the centre of the horizontal circle in which the bob of conical pendulum is moving ?

a) zero b) c) d)

4. A particle of mass m describes a circle of radius r. The centripetal acceleration of the

particle is . What will be the magnitude of momentum of the particle?

a) b) c) d)

5. A small sized mass m is attached by a massless string (of length L) to the top of a fixed frictionless solid cone whose axis is vertical. The half angle at the vertex of the cone is . If the mass m moves around in a horizontal circle at speed v, what is the maximum value of v for which mass stays in contact with the cone? (g is acceleration due to gravity.)

a) b) c) d)6. A block of mass m is placed on a disc whose axis is vertical at distance R from the

centre. The coefficient of friction between block and disc is . The axis is tilted by an

angle , and the disc is rotated about the axis at a constant angular speed . What is the maximum value of for which the block does not slip?



a) b)

c) d)

7. There blocks are kept as shown in figure. Acceleration of 20 kg block with respect to ground is

a) b) c) d)

8. A cubical block of mass m slides down a V shaped right angled groove which is inclined at an angle with horizontal. The groove is placed symmetric w.r.t a vertical plane. If the coefficient of friction between block and the groove is , acceleration of the block is

a) b)

c) d) SECTION – II

(Paragraph Type)This section contains 4 paragraphs each describing theory, experiment, data etc. Eight questions relate to four paragraphs with two questions on each paragraph. Each question of a paragraph has only one correct answers among the four choices (A), (B), (C) and (D).Paragraph-I: (9-10)

Blocks A and B shown in the figure are connected with a bar of negligible weight. A and B each has mass 170 kg , the coefficient of friction between A and the



plane is 0.2 and that between B and the plane is 0.4. When the system is released

from rest

9. What is the total force of friction between the blocks and the plane?

a) 900 N b) 700 N c) 600 N d) 300 N

10. What is the force exerted on the connecting bar by block A ?

a) 140 N b) 100 N c) 150 N d) 125 N

Paragraph-II :( 11-12)A recreational car track is of radius 17.3m. The minimum and maximum safe speed for the car are 10 m/s and 17.3 m/s.

11. What is coefficient of static friction between the car and track ?a) 0.25 b) 0.5 c) 0.57 d) 0.8

12. What is the angle of banking ?a) b) c) d)

Paragraph-III: (13-14)The bob of a pendulum of length L is moving in the vertical plane as shown in the figure at an instant.



13. The angular velocity of the bob about a point on the axis at the same horizontal level as the bob is a) v/L b) zero c) (v sin )/L d) v/(L sin )

14. The angular velocity of the bob about the point of suspension isa) v/L b) zero c) (v sin )/L d) v/(L sin )

Paragraph-IV: (15-16)A bead of mass m passes through a smooth rod of length L and is fixed at the midpoint of the rod which is rotating at constant rate as shown in the figure. The bead is released to move at t=0. Neglect gravity.

15. The speed of the bead just before leaving the rod is

a) b) c) d)

16. The component of net acceleration of the bead along the rod just after release is

a) b) c) d) zero

SECTION – III (Matching List Type)

This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

17. Match the followingSpeed of a particle moving in a circle of radius 2 m varies with time as v= 2t

(SI units). At t = 1s match the following two columns.



is the angular velocity of the particle w.r.t centre of the circle

is velocity of the particle

is acceleration of the particle

Column I Column II

A) p)

B) q) 2

C) r) 4

D) s) 0

a) A – r ; B – p ; C – s ; D – r b) A – p ; B – q ; C – r; D – s

c) A – q ; B – s ; C – r; D – r d) A – s ; B – q ; C – r ; D – r 18. A body moves along a curved path PQR from P to R shown in figure. When the particle

is at Q the acceleration of the particle can be represented by any of the vector A, B, C or

D. Match the acceleration vector written in column I to the type of motion mentioned in

column II. Vector B is along tangent and D is along normal to the path.



Column-I Column-II

(A) Acceleration vector along A (p) Rate of change of speed is zero

(B) Acceleration vector along B (q) Body moves with increasing speed

(C) Acceleration vector along C (r) Body moves with decreasing speed

(D) Acceleration vector along D (s) Rate of change of velocity is non zero

a) A – q,s ; B – q,s ; C – r,s ; D – p,s b) A – p,s ; B – q,s ; C – r,s ; D – p,s

c) A – q ; B – q ; C – r ; D – p d) A – s ; B – q ; C – p ; D – r

19. A particle is rotating in a circle of radius , with constant speed . Match

the following two columns for the time interval when it completes of the circle.

Column I Column II



A) Average speed p)

B) Average velocity q)

C) Average acceleration r)

D) Displacement s) 1

a) A – p ; B – q ; C – s ; D – q b) A – q ; B – r ; C – s ; D – p

c) A – s ; B – q ; C – r ; D – q d) A – s ; B – q ; C – p ; D – r

20. A block of mass 2 kg is pressed against a wall with a normal force of 10N. The wall is

moving with horizontal acceleration along the normal to the wall as shown in

the figure. Another vertical force F acts on the block as shown in the figure. The

coefficient of friction between the block & wall are and . Match the

following columns appropriately ( )



Column I Column II

A) Normal reaction p) 5 N

B) Force of friction when F = 15 N q)10 N

C) Minimum value of F to avoid the block r) 28 N

moving down

D) Maximum value of F to avoid the block s) 12 N

moving up

a) A – q ; B – s ; C – r ; D – s b) A – q ; B – s ; C – r ; D – s

c) A – p ; B – r ; C – q ; D – s d) A – s ; B – p ; C – s ; D – r



CHEMISTRY Max Marks : 60

SECTION – 1: (One or more options correct Type)

This section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE are correct.

21. Which of the following mixture will act as buffer?

a) b)

c) d)

22. 10 mL of N/20 NaOH solution is mixed with 20 mL of N/20 HCl solution. The

resulting solution will

a) Turn phenolphthalein solution pink

b) turn blue litmus red

c) Turn methyl orange red

d)

23. It is found that 0.1 M solution of three sodium salts NaX, NaY and NaZ have pH 7.0,

9.0 and 11.0 respectively. Which of the following statements is / are true?

a) NaY undergoes cationic hydrolysis

b) The relative order of acidic strength is HX > HY > HZ



c) Ka of and that of

d) Solution with pH = 7 does not undergo hydrolysis.

24. Two buffers (x) and (y) of pH 4.0 and 6.0 respectively are prepared from acid HA and

the salt Na A. Both the buffers are 0.50 M in HA,

a) Salt concentration in buffer x is 0.05 M

b) Salt concentration in buffer y is 5 M

c) pH of the solution obtained by mixing equal volume of the two buffers is greater

than 7

d) pH of the solution obtained by mixing equal volume of the two buffers is less than 7.

25. Ksp for Mg (OH) 2 is at 250C

a) Solubility of Mg (OH) 2 is b) pH = 3.39

c) Solubility is more in acidic buffer solution than in pure water

d) pH=10.61

26. Which of the following statements is/are correct regarding Lewis acids?

a) Molecules having a central atom with an incomplete octet in it can act as Lewis

acids

b) Molecules or ions which atoms of dissimilar electro negativity are joined by

multiple bonds can act as Lewis acids



c) and are Lewis acids

d) Neutral species having at least one lone pair of electrons can act as Lewis acids

27. Given the following K spvalues: for , ; for

. One mole of each of the above solids is placed in a beaker containing

1 (one) liter of basic buffer solution. These solids go into equilibrium with their ions.

Calculate the pH of the buffer at which the metal ion concentrations to be equal,

.

a) 12.6 b) 9.6 c) 6.7 d) 11.8

28. Which of the following is/are acid- base conjugate pairs?

a) b)

c) d)

SECTION – II (Paragraph Type)

This section contains 4 paragraphs each describing theory, experiment, date etc. Eight questions relate to four paragraphs with two questions on each paragraph. Each question of paragraph has only one correct answer along the four choice (A), (B), (C) and (D).

Paragraph for Questions 29 to 30

Solid AgNO3 is slowly added to a solution that is 0.0010 M each in NaCl, NaBr

and NaI. for , Ksp for AgBr = , Ksp for AgCl is

29. The concentration of to initiate the precipitation of the silver chloride is



a) b)

c) d)

30. Percentage of unprecipitated is when begins to precipitate is

a) 99.955% b) 0.045 % c) 0.00083% d) 99.82%


40.0 mL of O.1 M methylamine (CH3NH2) solution is titrated with O.15 M HCl

solution ( Kb=4 . 0×10−5 for CH 3 NH 2+ H2 O⇔CH 3 NH3+

+OH−)

31. The pH of the solution, at halfway to the equivalence point is.

a) 9.6 b) 4.4 c) 11.2 d) 8.5

32. The pH at the equivalence point is.

a) 4.4 b) 5.41 c) 8.8 d) 11.2


The pH of basic buffer mixture is given by: whereas pH of

acidic buffer mixtures is given by: Addition of little acid

or base although shows no appreciable charge for all practical purposes, but



since the ratio changes, a slight decrease or increase in pH results

in

33. The volume of 0.2 M NaOH needed to prepare a buffer of pH 4.74 with 50 mL

of 0.2 M acetic acid (pKb of ) is

a) 50 mL b) 25 mL c) 20 mL d) 10 mL

34. Mole of HCl required to prepare a buffer solution of pH=8.5 with 0.1 mole of

NaCN in one litre solution is (pKb for ) :

a) b) c) d)


In an aqueous solution of a diprotic acid H2A, The following equilibrium exit.

, ................. (i)

, .....................(ii)

and , .................(iii)After several approximations and simplifying by assuming that K1 is very small in

comparisons to of the solution, following expression are obtained.Space for rough work 15


............... (iv)

...............(v)

................(vi)

................(vii)

Solution of H2S is given and dissociation constants, and

35. What is the concentration of HS- in the solution?

a) b) c) 1.0 x10-4 M d)

36. What is the ratio of ?

a) b) c) d)

SECTION – III (Matching List Type)

This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices

(A), (B), (C) and (D) out of which ONLY ONE is correct.

37. Match the following:

Column – I Column – II

A) p)



B) q)

C) r) Cationic hydrolysis

D) s) Anionic hydrolysis

t) No hydrolysis

a) A – s, r ; B – p, s ; C – p, r ; D – r b) A – q, r ; B – p, s; C – q, r ; D – t

c) A – p, r ; B – p,q ; C – q,s ; D – r d) A – q, r ; B – t, s ; C – s, r ; D – q

38. under the certain condition is . Then using value,

Column – I Column – II

A) Solution of pH = 5 p) Acidic

B) Solution of pH = 4 q) Basic

C) Solution of pH = 5.5 r)

D) Solution of pH = 7 s) neutral

a) A – s ; B – p ; C – q ; D – q,r b) A – s, B – s ; C – q ; D – p

c) A – s ; B – s ; C – p ; D – p,r d) A – r , B – q ; C – s ; D – q

39. Column – I Column – II

A) p)



B) NaCN q)

C) HCN+NaCN r)

D) s)

a) A – q, B – p, C – s, D – r b) A – p, B – s, C – r, D – q

c) A – p, B – q, C – s, D – r d) A – q, B – s , C – r , D – p

40. Column – I Column – II

A) p) , is not a buffer

B) q) increasing the value of , by increasing

temperature

C) r) pH > 7, due to anionic hydrolysis

D) HCl+ NaCl s) pH < 7, is buffer

a) A – s , B – r, C – q , D – p b) A – r , B – s, C – q, D – p

c) A – p , B – q, C – r, D – s d) A – q, B – r, C – s , D – p



MATHEMATICS Max Marks : 60

SECTION -1(One or more options correct Type)

The section contains 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE and MORE are correct.

41. A and B are the points (3, 4) and respectively. Find the co-ordinates of a point

P such that PA=PB and the area of the triangle PAB=10.

a) (1, 0) b) (5, 4/3) c) (7, 2) d) (13, 4)

42. If A(5,2),B(10,12) and P(x,y) is/are the vertices of a triangle such that then the

internal bisector of always passes through

a) (-8,-8) b) (8,-8) c) (20,32) d) (8,8)

43. Find the locus of the centroid of a triangle whose vertices are ,

and (1,0), where ‘t’ is the parameter.

a) b)

c) d)

44. A triangle ABC with vertices has its orthocentre H.

Then the orthocentre of triangle BCH will be:



a) b) c) d) none of these

45. If I is the incentre and are excentres of triangle ABC, and

then the distance between the orthocentres of triangle and

the triangle is

a) 2 b) 3 c) 5 d) 7

46. The point A (4, 1) undergoes following transformations successively:i. reflection about line y=x

ii. Translation through a distance of 2 units in the positive direction of x-axis

iii. rotation through an angle in anti-clockwise direction about origin O.Then the final position of point A is


47. A point moves in the x -y plane such that the sum of its distance from two mutually perpendicular lines is always equal to 3. The area enclosed by the locus of the point is

a) 18 unit2 b) unit2 c) 9 unit2 d) none of these



48. If by rotating the axes without shifting the origin, the expression

become , then

a) b)

c) d)

SECTION – II(Paragraph Type)

This section contains 4 paragraphs each describing theory, experiment, data etc. Eight questions relate to four paragraphs with two questions on each paragraph. Each question of a paragraph has only one correct answer among the four choices (A), (B), (C) and (D)

Paragraph-I: (49-50)

For points and of the coordinate plane, a new distance d (P, Q)

is defined by . Let O = (0, 0) and A= (3, 2). Consider the set of points P in the first quadrant which are equidistant (with respect to the new distance) from O and A.

49. The set of points P consist of a) One straight line only b) union of two line segmentsc) Union of two infinite rays

d) union of a segment of finite length and an infinite ray

50. The area of the region bounded by locus of P and line y= 4 in first quadrant with the

co – ordinate axes is



a) 2 sq. units b) 4 sq. units c) 6 sq. units d) none of these

Paragraph-II: (51-52)

If P divides in the ratio l:m internally and Q divides in the ratio l:m externally

then P and Q are called harmonic conjugates to each other w.r.t

51. If (1,-1) is the harmonic conjugate of (13,3) w.r.t the segment joining AB, where

A(4,0), then B =

a) (-5,-3) b) (-2-2) c) (-5,-3) d) (7,1)

52. If are the two positions of P such that and then

a) b) c) d)

Paragraph-III: (53-54)

Consider a triangle PQR with coordinates of its vertices as and

.

53. The distance between the orthocentre and the circumcentre of the of the triangle

PQR is

a) 25/2 b) 29/2 c) 37/2 d) 51/2

54. If the incentre of the triangle PQR is then




Paragraph-IV: (55-56)

Let ABCD is a square with sides of unit length. Points E and F are taken on sides AB and AD respectively so that AE= AF. Let P be a point inside the square ABCD.

55. The maximum possible area of quadrilateral CDFE is

a) 1/8 b) 1/4 c) 5/8 d) 3/8

56. The value of is equal to

a) 3 b) 2 c) 1 d) 0

SECTION – III(Matching List Type)

This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct

57. Column-I Column-II

A) If A(1,1),B(-3,1) then the locus of P p) Hyperbolasuch that PA+PB=6 is B) If A(3,-4),B(3,1) then the locu of P q) Ellipse

such that is C) If A(1,2),B(1,-4), then the locus of P r) a brand of the hyperbols

such that D) If A(7,1),B(-1,1), then the locus of P s) union of two infinite rayssuch that PA-PB=4 is a) A – q ; B – s ; C – r ; D – p b) A – q ; B – s ; C – p ; D – r c) A – q ; B – r ; C – p ; D – s d) A – q ; B – p ; C – r ; D – s

58. Match the orthocentres of triangle formed by the points in Column-I into Column-II



Column-I Column-II

A) p) (7,5)

B) (7,5)(-3,5) (7,1) q)

C) r)

D) s)

A) A – r ; B – p ; C – s ; D – q b) A – r ; B – p ; C – q ; D – s

c) A – p ; B – r ; C – s ; D – q d) A – p ; B – q ; C – s ; D – r

59. MatchingColumn-I Column-II

A) Two vertices of a triangle are (5, -1) and ( - 2, 3). p)

If orthocenter is the origin, then coordinates of the

third vertex are

B) Given vertex A , B and C then q) (2, 7)

the bisector of the interior angle at A intersect BC at D

then coordinates of D are



C) circumcenter of the triangle formed by r)

is

D) In a and point s)

A lies on the line where . If the area

of be such that , where [.] denotes the

greatest integer function, then one of the possible

co-ordinates of A are

a) A – r ; B – p ; C – q ; D – r b) A – r ; B – p ; C – s ; D – q

c) A – r ; B – s ; C – p ; D – q d) A – p ; B – r ; C – s ; D – q

60. Matching

O is origin and B is a point on the x-axis at a distance of 2 units from the origin.

Column-I Column-II

A) If is equilateral triangle, then the p)

coordinates of A can be

B) If is isosceles such that is 300, q)

then coordinator of A can be



C) If OB is one side of rhombus of area units, r)

then other vertices of rhombus can be

D) If OB is a chord of circle with radius equal to s)

OB, then coordinates of point A on the circumference

of the circle such that is isosceles can be

a) A – r ; B – p, q,r ; C – q, r ; D – q, s

b) A – r ; B – p, q,r ; C – q, s ; D – q, r

c) A – q ; B – p, r, s ; C – q, r ; D – p, r

d) A – p ; B – p,q,s ; C – p,r; D – q,s



14-07-14_Jr.COIPL_PAPER SETTER NAMES(NARSINGI)MATHS :- Mr. Keshav Ph : 9221057418

PHYSICS : Mr. Kulbir Singh Ph : 7206525126

CHEMISTRY : Mr. RAMESH Ph : 9000622389

14-07-14_Jr.COIPL_PAPER VERIFIER NAMES(VJA)MATHS :- Mr. K BABU RAO Ph : 9295034455

PHYSICS : Mr. AMARANATH Ph : 8096637372

CHEMISTRY : Mr. SVS Ph : 9440285626


14-07-14_jr.coipl_jee-adv_(2013_p2)_wta-10_q'paper

Documents