Class: SZ2-A JEE-ADV(2014-P1) MODEL Date: 12-07-2020 Time ... · SZ2-A_JEE-ADV(2014-P1)_WAT-03_QP_Exam.Dt.12-07-20 Narayana CO Schools 4 03. Consider the situation shown in figure

Corporate Office: 10th Floor, Melange Tower; No.80-84, Pathrika Nagar; Hitech-City, Madhapur, Hyderabad. Telangana - 500 081.

: 040-45009999(360/341) : [email protected] : http://www.narayanagroup.com

Class: SZ2-A JEE-ADV(2014-P1) MODEL Date: 12-07-2020

Time: 3hrs WAT-02 Max. Marks: 180

IMPORTANT INSTRUCTIONS

PHYSICS

Section Question Type +Ve

Marks

- Ve

Marks

No.of Qs

Total marks

Sec – I(Q.N : 1 – 10) Questions with Multiple Correct Choice 3 0 10 30

Sec – II(Q.N : 11 – 20) Questions with Integer Answer Type 3 0 10 30

Total 20 60

CHEMISTRY


Marks

- Ve

Marks

No.of Qs

Total marks



Total 20 60

MATHEMATICS


Marks

- Ve

Marks

No.of Qs

Total marks



Total 20 60

mailto:[email protected]

http://www.narayanagroup.com/

SZ2-A_JEE-ADV(2014-P1)_WAT-03_QP_Exam.Dt.12-07-20

Narayana CO Schools

2

–:SZ2-A Jee-Adv Exam Syllabus (12-07-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Block on Block Problemsm(2 Block system), Block on Block Problems(3

Block system), Block on Block Problems.

PREVIOUS WEEK 50%:

Friction: introdution to Friction, Types of Friction (Limiting,Static &

Kinetic),Angle of Friction, Angle of Repose, Motion of Body on Rough

Horizontal Surface, Pushing and Pulling, Motion of A Body on Smooth

& Rough inclined Planes, Applications.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

Heisenberg’s uncertainty principle, Quantum mechanical model of

Atom - Schrodinger wave equations, Radial wave function, Angular

wave function, Nodes, Radial nodes, Angular nodes & Shapes of

atomic orbitals, Quantum numbers, Practice problems

PREVIOUS WEEK 50%:

Photoelectric effect & Compton effect, Atomic spectra, Hydrogen

spectra, Bohrs atomic model , Expression for energy, Radius,

Velocity, Orbital Frequency, Time Period, Practice problems, Dual

behaviour of matter - Debroglies hypothesis, Practice problems.

TOPICS

MATHS

PRESENT WEEK 50%:

Straight Lines: Straight Lines, Different Forms, Different Forms Of A

Straight Line, Angle Between Two Lines, Position Of Two Points W.R.T

A Line Distance From A Point To A Line, Distance Between Two

Parallel Lines Related Problems.

PREVIOUS WEEK 50%:

Transformation Of Axes:Translation Of Axes, Translation Of Axes,

Rotation Of Axes, General Transformation, Related Problems.


Narayana CO Schools

3

SECTION –I (01 TO 10) (ONE OR MORE OPTIONS CORRECT TYPE)

This section contains 10 multiple choice equations. Each question has four choices (A) (B), (C) and (D) out of which ONE or MORE THAN ONE are correct. 01. A uniform rod AB of mass 9kg is made to lean between rough

vertical wall and the ground. Friction coefficient between rod and

wall is 1

1

2 = and between the rod and the ground is 2

1

4 = . The rod

is about to slip at contact surfaces (g=102/m s ). The correct options

are

A) The normal reaction between rod and wall is 20N

B) Normal reaction between rod and ground is 80N

C) 1 10f N=

D) 2 20f N=

02. A plank 1m long is fixed with one end, 28cm above the level of the

other end. The top half of the plank is smooth and the bottom half

is rough. When a small block of mass m is released at the top, it

just reaches the bottom. Then

A) The coefficient of friction between the block and the part of

plank is ½.

B) On the rough part, the normal reaction on the block is 24

25mg

C) Coefficient of friction between the block and the rough part of

plank is 7/12

D) On the smooth part, the retardation of the block is 28

100g


Narayana CO Schools

4

03. Consider the situation shown in figure in which a book “A” of mass

2kg is placed over a block “B” of mass 4kg. The combination of the

blocks are placed on a inclined plane of inclination 370 with

horizontal. The coefficient of friction between block B and inclined

plane is 2 and in between the two blocks is

1 , the system is

released from rest . Then ( )210 / secTake g m=

A) If 1 2 0.5 = = then the blocks will move together

B) If 1 2 0.8 = = then the blocks will move together

C) If 1 2 0.8 = = then none of the blocks will move

D) If 1 2 0.8 = = then frictional force between B and plane is 36N

04. A small object is kept on a groove on rough incline plane of

inclination . Groove makes an angle as shown in diagram.

coefficient of friction. Which of the following is correct?

A) Normal force by incline is 2 2 2cos sin sinN mg = +

B) Normal force by incline is 2 2 2cos sin cosN mg = +

C) If 0 = then acceleration of object is sin cosg

D) If 0 = then acceleration of object is sin sing


Narayana CO Schools

5

05. A plank of mass M is held at an angle to the horizontal on two

fixed poles A & B as shown in figure. To keep the plank at rest, a

person of mass m moves on the plank with some acceleration

(neglect friction between plank & poles). For this situation mark the

correct statements

A) The direction of friction force (acting between plank & person)

on person is down the plank

B) Person should move down the plank with an acceleration

( ) sinM m g

m

+ to keep the plank stationary

C) Friction force between plank & person is having the magnitude

sinMg

D) The direction of friction force (acting between plank & person)

on person is along the plank up

06. Two thin rods are moving perpendicularly as shown in the figure. If

the friction acting between them is RF then the unit vectors in the

direction of friction force acting on the rods is

A) ( )2

5

i j− − B)

( )2

5

i j+ C)

( )3 2

13

i j+ D)

( )2

5

i j−


Narayana CO Schools

6

07. The figure shows an L shaped body of mass M placed on smooth

horizontal surface. The block A is connected to the body by means of an inextensible string, which is passing over a smooth pulley of

negligible mass. Another block B of mass m is placed against a

vertical wall of the body. Coefficient of friction between the block B

and the vertical wall is . Then choose correct options.

A) The minimum value of the mass of block A so that block B

remains stationary relative to the wall is 1

M m

+

−

B) The minimum value of the mass of block A so that block B

remains stationary relative to the wall is1

M m

+

+

C) The minimum value of the mass of block A so that block B


M m−

−

D) The minimum value of the mass of block A so that block B


1

M m+

−

08. Three blocks A,B and C each having mass 1kg are kept one above

the other as shown in the figure on a smooth horizontal surface.

Coefficient of friction between A and B is 1 0.3 = and that between B

and C is 2 0.8 = . A horizontal force F acts on block C. Then (Take210g ms−= ). Choose correct options.

A) If F=15N, the value of frictional force acting between blocks A

and B is 4N

B) If F=15N, the value of frictional force acting between blocks A and B is 2N

C) If F=3N, the value of frictional force acting between blocks B

and C is 2N

D) If F=3N, the value of frictional force acting between blocks B and C is 6N


Narayana CO Schools

7

09. In the figure shown, the coefficient of friction between the two

blocks is 0.1 and coefficient of friction between the block B and

ground is 0.2, masses of A and B are 20 kg and 40 kg respectively.

Choose correct options.

A) If 10 ,F N= the acceleration produced in A is 20 /m s

B) If 50 ,F N= the acceleration produced in A is 20 /m s

C) If 300 ,F N= the acceleration produced in A is 21 /m s

D) If 300 ,F N= the acceleration produced in A is 22 /m s

10. For the situation shown in figure, choose the correct options.

(Take g = 10 ms-2)

A) Total friction force on 5 kg block is zero

B) Total friction force on 3 kg block is towards left and is non -zero

C) Friction force on 2 kg block due to 3 kg block is towards right

and is non zero

D) Friction force on 3 kg block due to 5 kg block is towards right

and is non – zero


Narayana CO Schools

8

SECTION – II (11 TO 20) (INTEGER VALUE CORRECT TYPE)

This section contains 10 questions. The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive).

11. A stationary body of mass m is slowly lowered onto a rough platform

moving at a constant velocity 0 4 /v m s= on smooth surface. The

relative motion between them ceases at a time t= ( )0.3 = is____(In

seconds) (g=102/m s ).

12. Block B is placed on a smooth surface. Block A is placed on rough

surface of block B with coefficient of friction 0.60. The mass of A

and B are 2kg and 4kg respectively. Then the frictional force

between A and B (in N) is____ (g=10m/s2)

13. is coefficient of friction between all surface. Block A is kept over

block B on inclined plane. The minimum force required such that

‘A’ block can move along applied force is sin cosmg n mg+ . Then

the value of n is_________________


Narayana CO Schools

9

14. Cube of mass m kept on rough horizontal surface. Two insects each

mass m moving on the cube with equal acceleration 0a from D to E

and H to F. The frictional force by the ground on the cube is 10

2

mak

k

. Then the value of 1 2k k− is____

15. The frictional force acting on the block is (g=10 2/m s )

16. A body is moving down a long inclined plane of inclination045 with

horizontal. The coefficient of friction between the body and the

plane varies as / 2x = , where x is the distance moved down the

plane. Initially 0 & 0x v= = . The speed of the body at x=2m is

/g n m s . Then the value of n is______________

17. Coefficient of friction between 5 kg and 10 kg block is 0.5 and

ground is friction less if friction between them is 20 N. If force

applied on 5 kg block is 15 .P Newton Then the value of N is


Narayana CO Schools

10

18. Two blocks of masses 2kg and 3kg are placed on each other as

shown in the figure. Then the friction force between the blocks

is_________ Newton. ( )210 /g m s= (Nearest integer)

19. In figure initially the system is at rest. The minimum value of F for

which sliding starts between the two blocks is 50 .P Newton (Nearly).

Then the value of P is (Given 10 , 20A Bm kg and m kg= = )

20. A 1 kg block is being pushed against a wall by a force F = 75 N as

shown in the figure. The coefficient of friction is 0.25. The

magnitude of acceleration of (g = 10 m/s2) the block is 24 / .N m s

Then value of N is


Narayana CO Schools

11

SECTION –I (21 TO 30) (ONE OR MORE OPTIONS CORRECT TYPE)

This section contains 10 multiple choice equations. Each question has four choices (A) (B), (C) and (D) out of which ONE or MORE THAN ONE are correct.

21. Which of the following statements on the atomic wave function

is correct?

A) may be a real valued wave function

B) may be in some cases be a complex function

C) has a mathematical significance only

D) is proportional to the probability of finding an electron

22. For the azimuthal quantum number ‘ l ’ the total number of

magnetic quantum numbers is given by

A) ( 1)

2

ml

+= B)

1

2

ml

−= C)

2 1

2

ml

+= D)

2 1

2

ml

−=

23. The incorrect set of quantum numbers for the unpaired electron of

Chlorine atom

A) 2,0,0,+1/2 B) 2,1,-1,+1/2

C) 3,0,0,+1/2 D) 3,1,-1, 1/2

24. Which of the following is/are incorrect statement(s)?

A) 2s orbital is spherical with two nodal planes

B) The de Broglie wavelength ( ) of a particle of mass ' 'm and

velocity ' 'V is equal to mV

h

C) The principal quantum number ( )n indicates the shape of the

orbital

D) Azimuthal quantum number indicates the shape of an orbital

and angular momentum of electron


Narayana CO Schools

12

25. Which of the following is/are correct statement(s)

A) Number of radical nodes 1n l= − −

B) Number of nodal planes for an orbital l=

C) The shape of a p-orbital is dumbbell

D) The shape of a s-orbital is double dumbbell

26. Bohr model can explain spectrum of

A) the hydrogen atom

B) all elements

C) any atomic or ionic species having one electron only

D) the hydrogen molecule

27. Which statement(s) is/are correct about Bohr’s theory

A) Orbit is a three dimensional area where probability of finding

electron is maximum

B) Orbit is a two dimensional track on which electron moves

C) Atom has definite boundary

D) Energies and angular momentum of orbits are quantized

28. Which of the following statements is/are correct?

A) Lyman series of hydrogen atom lies in the UV region of

electromagnetic Radiation

B) Balmer series of hydrogen atom lies in the visible region of

electromagnetic radiation

C) Paschen series of hydrogen atom lies in the visible region of


D) Brackett series of hydrogen atom lies in the visible region of


29. Choose the correct relation on the basis of Bohr’s theory:

A) Velocity of electron 1/n

B) Frequency of revolution 31/n

C) Radius of orbit 2n Z

D) Force on electron 41/n


Narayana CO Schools

13

30. If shortest wavelength of Lyman series of H-atom is ‘x’ then the

longest wavelength of Balmer series of H-atom will be

A) 9

5

x B)

36

5

x C)

5

9

x D)

5

36

x


This section contains 10 questions. The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive). 31. In order to designate an orbital in an atom the no. of quantum

number(s) required

32. A ball of mass 200gm is moving with velocity of 10 1.m s− . If the error

in measurement of velocity is 0.1%, the uncertainity in its position

is 32.64 10P m− , then the value of P is

33. No of visible lines when an electron returns form 5th orbit up to

ground state in H spectrum:

34. The number of angular nodes for ‘4d’ orbitals is______.

35. Number of nodes in 3s orbital is __________.

36. The wave length of a ball of mass 0.1kg moving with velocity of

10m/s is 34.625 10 ,X m− then the value of X is

37. The de-Broglie wavelength of a particle with mass 1 g and velocity

100m/sec is 33.63 10Y m− , then the value of Y is

38. If the radius of first Bohr orbit is x, then de Broglie wavelength of

electron in 3rd orbit is Bx (Nearly),then the value of B is

39. Calculate the wavelength (in nanometers) associated with a proton

moving at 3 11.0 10 ms− . Their velocity are in y:1, then the value of y

is

(mass of proton = 271.67 10 kg− and 346.63 10h Js−= )

40. The uncertainty in the momentum of an electron is 5 11.0 10 kg m s− − .

The uncertainty in its position will be − 30.27 10A m . Then the

value of A is ( )346.626 10h Js−=


Narayana CO Schools

14

SECTION –I (41 TO 50)

(ONE OR MORE OPTIONS CORRECT TYPE) This section contains 10 multiple choice equations. Each question has four choices (A) (B), (C) and (D) out of which ONE or MORE THAN ONE are correct.

41. Which of the following is/are true?

A) Normal form of the line 2 0x y− + = is 3 3

cos sin 14 4

x y + =

B) Symmetric form of the line through ( )2,0− , having slope 1

3− is

2

5 5cos sin

6 6

x y+=

C) One of the possible equations of the straight line passing

through the point ( )4,3 and making intercepts on the

coordinate axes whose sum is 1− is 12 3

x y− =

D) A straight line passes through ( )4,5 and makes an angle 060

with X-axis in the anticlockwise direction. Its equation in the

parametric form is 4, 3 5x y= + = + (where is a parameter)

42. When the axes are rotated through an angle in the anti clockwise

sence about the origin ' '.O If the equation

( ) 2 2, 2 2 2 0f x y ax hxy by gx fy c= + + + + + = transforms to ( ), 0f X Y =

then which of the following quantities is/are invariant(s) under

rotation?

A) ( )2 24a b h− + B) ( )a b+ C) 2h ab− D) c

43. In a ( ) ( ) ( ), , , 1,2 2,3 ,ABC A B and C point A lies on the line

2 3,y x= + where , are integers, and the area of the triangle is S

such that 2,S = where . denotes the greatest integer function.

Then the possible coordinates of A can be

A) ( )7, 11− − B) ( )6, 9− − C) ( )2,7 D) ( )3,9


Narayana CO Schools

15

44. A line through the variable point ( )1,2A k k+ meets the lines

7 16 0, 5 8 0,x y x y+ − = − − = 5 8 0x y− + = at , ,B C D respectively. Then

which of the following is/are NOT true?

A) AC, AB, AD are in A.P B) AC, AB, AD are in H.P

C) 2 1 1

AB AC AD= + D) 2AB AC AD= +

45. If the points ( )4,3 and ( )cos ,sin lies same side of the line

1 0,x y+ − = then lies in which Quadrant?

A) 1Q B)

2Q C) 3Q D) 4Q

46. If the axes are rotated about origin by an angle of 030 and the point

in the new system is ( )4, 2 3− then the point in original position is

A) ( )3 3, 1 ,− if rotation can be in clockwise direction

B) ( )3, 5 ,− if rotation can be in counter clockwise direction

C) ( )3 3, 1 ,− if rotation can be in counter clockwise direction

D) ( )3, 5 ,− if rotation can be in clockwise direction

47. The line 1x y

a b+ = meets the axis of x and y at &A B respectively

and the line y x= at C so that area of AOC is twice the area of

,BOC where O is origin then the coordinates of C are

A) ,3 3

a a

B) 2 2

,3 3

a a

C) ,3 3

b b

D) 2 2

,3 3

b b

48. The product of perpendiculars form the points ( )2 2 ,0a b − on the

straight line cos sin 1x y

a b+ = is

A) 2a B) 2b C) ab D) 2 2a b

49. If the acute angle between the lines 2 3 5 0x y+ − = and 5 6 0x ky+ − =

is ,4

then the value(s) of k is/are

A) 1 B) – 1 C) – 25 D) 25


Narayana CO Schools

16

50. The values of b for which the origin and the point ( )1,1 lies on the

same side of the straight line 2 1 0,a x aby a R+ + = is /are

A) 3

4 B)

5

4 C)

7

4 D)

9

4


This section contains 10 questions. The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive).

51. The transformed equation of 2 23 3 2 2x y xy+ + = when the coordinates

axes are rotated through an angle of 0

167

2 is 2 2 1AX BY+ = then

________A B+ =

52. If the straight line drawn through the point ( )3, 2P making an

angle 6

with X-axis meets the line 3 4 8 0x y− + = at Q then PQ is

53. The parametric equations of a line is given by 210

rx = − + and

31

10

ry = + then slope of the line is _____________

54. An angle of rotation of axes so that 3 1 0x y− + = is transformed as

1Y K= is 2K

then 2

1

________K

K= where

1 2,K Q K N

55. If the distance between the lines 5 12 2 0x y− + = and 5 12 3 0x y− − = is

m

n, ( )gcd , 1m n = then n m− is equal to

56. If the axes are rotated through an angle ' ' in counter clockwise

direction, the transformed equation of 2 24 3xy x a− = is given by

2 2 24X Y a− = then positive integer value of tan __________ =

57. By translating the axes of the equation 2 6xy x y− + = has changed

to XY c= then _________c =


Narayana CO Schools

17

58. The coordinate axes are rotated about the origin ‘0’ in the counter

clockwise direction through an angle 060 . If a and b are the

intercepts made on the new axes by a straight line whose equation

referred to the original axes is 3 4 5 0x y+ − = then 2 2

1 1________

a b+ =

59. Let the equation of the curve 2 2 11x xy y− − = be transformed to

2 2 3ax by x cy dxy e− + + + = upon shifting the origin to ( )1, 1− then

2 2 2 __________a b c+ + =

60. When the axes are rotated through an angle 060 , the new

coordinates of the point are ( )7,2− , if its original coordinates are

( ), then ( )2

7 2 ___________53

− + =

"Focus on the possibilities for Success, not on the potential for failure"

Documents

Class: SZ2-A JEE-ADV(2014-P1) MODEL Date: 12-07-2020 Time ... · SZ2-A_JEE-ADV(2014-P1)_WAT-03_QP_Exam.Dt.12-07-20 Narayana CO Schools 4 03. Consider the situation shown in figure