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Class: SZ1 JEE-ADV (2016-P2) MODEL Date: 17-05-2020

Time: 3hrs WAT-14 Max. Marks: 186

IMPORTANT INSTRUCTIONS

PHYSICS

Section Question Type +Ve

Marks

- Ve

Marks

No.of

Qs

Total

marks

Sec – I(Q.N : 1 – 6) Questions with Single Correct Choice 3 -1 6 18

Sec – II(Q.N : 7 – 14) Questions with Multiple Correct Choice

(Partial Marking +1) 4 -2 8 32

Sec – III(Q.N : 15 – 18) Questions with Comprehension Type

(2 Comprehensions – 2 + 2 = 4Q) 3 0 4 12

Total 18 62

CHEMISTRY


Marks

- Ve

Marks

No.of

Qs

Total

marks






Total 18 62

MATHEMATICS


Marks

- Ve

Marks

No.of

Qs

Total

marks






Total 18 62

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http://www.narayanagroup.com/

SZ1_JEE-ADV(2016-P2)_WAT-14_QP_Exam.Dt.17-05-2020

Narayana CO Schools

2

–:SZ1 Jee-Adv Exam Syllabus (17-05-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Work done in rotation of dipole in electric field, Interaction energy of

an dipole in electric field, Electric potential due to dipole, Stable and

unstable equilibrium of dipole in electric field, Applications, Work

done in rotation of dipole in electric field, Interaction energy of an

dipole in electric field, Electric potential due to dipole, Stable and

unstable equilibrium of dipole in electric field, Applications.

PREVIOUS WEEK 50%:

Gauss's law, Calculation of electric field using Gauss's law for

Charged sphere,non conducting unifromly charged sphere,

Calculation of electric field using Gauss's law for Long charged wire,

Long uniformly charged conducting and non conducting cylinder,,

Calculation of electric field using Gauss's law for Non conducting

uniformly charged sheet, Charged conducting sheet), Applications of

Gauss's law in the region of varying electric field Applications, Electric

field inside a cavity of conducting and non-conducting charged body,

Applications.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

f- Block elements: Introduction, Lanthanoids, Electronic configuration,

Oxidation states, Chemical reactivity and Lanthanoid contraction,

Actinoids - Electronic configuration and oxidation states.

PREVIOUS WEEK 50%:

Complex formation, Interstitial compounds, Alloy formation,

Preparation and properties and uses of K2Cr2O7 and KMnO4.

TOPICS

MATHS

PRESENT WEEK 50%:

Properties of Definite Integrals (Improper Integrals are to be strictly

avoided)

PREVIOUS WEEK 50%:

DEFINITE INTEGRATION: Introduction, Fundamental Theorem of

Integral Calculus - I and II, Fundamental Theorem of Integral Calculus

- I and II, Properties of Definite Integrals (Improper Integrals are to

be strictly avoided), Related Problems.


Narayana CO Schools

3

SECTION – I (01 TO 06) (SINGLE CORRECT ANSWER TYPE)

This section contains 6 multiple choice questions. Each question has four

choices (A), B), (C) and (D) out of which ONLY ONE OPTION IS CORRECT.

Marking scheme +3 for correct answer, 0 if not darkened any bubble, -1 in all other cases.

01. An electric dipole is placed in a uniform electric field. The net

electric force on the dipole_____________

A) Is always zero B) Can never be zero

C) Depends on the orientation of the dipole

D) Depends on the strength of the dipole

02. A sample of HCl gas is placed in an electric field of 42.5 10 / .N C The

dipole moment of each HCl molecule is 303.4 10 .Cm− The maximum

torque that can act on a molecule is _____________Nm.(Nearly)

A) 268.2 10 Nm− B)

268.5 10 Nm−

C) 268.3 10 Nm− D)

269.2 10 Nm−

03. A point electric dipole with a moment p is placed in the external

uniform electric field whose strength equalsoE , with 0p E . In this

case one of the equipotential surfaces enclosing the dipole forms a

sphere. Then the radius of this sphere is

A)

=

1/3

0 08

pR

E B)

=

1/3

0 02

pR

E

C)

=

1/3

0 04

pR

E D)

=

1/3

0 06

pR

E

04. A dipole with an electric moment p is located at a distance r from a

long thread charged uniformly with a linear density . The force F

acting on the dipole if the vector p is oriented along the radius

vector r is

A)

−=

2

02

pF

r B)

−=

2

04

pF

r C) 0 D) =

2

02

pF

r


Narayana CO Schools

4

05. The flux of the electric field through a spherical surface of radius

2m due to a charge of 710 C−

kept at a point 4m away from the

centre is.

A) 1 B) 0 C) 4 D) None

06. Figure shows a closed surface which intersects a conducing

sphere. If a positive charge is placed at the point P, the flux of the

electric field through the closed surface

A) will remain zero B) will become positive

C) will become negative D) will become undefined

SECTION – II (07 TO 14)

(MULTIPLE CORRECT CHOICE TYPE) This section contains 8 multiple choice questions. Each question has 4 options

(A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE

option can be correct. Marking scheme: +4 for correct answer, Partial marking +1 for darkening a bubble

corresponding to each correct option (provided no incorrect option darkened), 0 if none of the

bubble is darkened, -2 in all other cases.

07. Two short electric dipoles each of dipole moment 306.2 10p C m−= −

are placed with their axis along the same line and their centres at

a distance −= 810 .d cm Then

A) The force of attraction between the dipoles is zero

B) The force of attraction between the dipoles is nearly 82.1 10 N−

C) The torque on the second dipole is maximum

D) The torque on the first dipole is zero


Narayana CO Schools

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08. A small charged sphere with charge q mounted over one of the

vertices of the cube as shown. Then,

A) Flux through the shaded face of cube is 06

q

B) Flux through shaded face of cube is 024

q

C) Flux through complete cube is 08

q

D) Flux through complete cube is 0

q

09. An electric dipole moment ( )2 3P i j C= + .m is placed in a uniform

electric field ( ) 5 13 2 10E i k NC−= + . Then

A) The torque that E exerts on P is ( )0.6i 0.4 j 0.9k− − Nm.

B) The potential energy of the dipole is – 0.6 J.

C) The potential energy of the dipole is 0.6 J.

D) If the dipole is rotated in the electric field, the maximum

potential energy of the dipole is 1.2J.

10. Choose correct statements.

A) Electric flux is a measure of flow of electric field through a

surface

B) Electric flux is equal to the product of an area element and the

perpendicular component of ,E integrated over a surface

C) Electric flux is not equal to the product of an area element and

the perpendicular component of ,E integrated over a surface

D) SI unit of electric flux is vm


Narayana CO Schools

6

11. A point charge Q+ is placed just outside an imaginary hemispherical

surface of radius R as shown in the figure. Which of the following

statements is/are correct?

A) The circumference of the flat surface is an equipotential

B) The electric flux passing through the curved surface of the

hemisphere is 0

11

2 2

Q − −

C) Total flux through the curved and the flat surfaces is 0

Q

D) The component of the electric field normal to the flat surface is

constant over the surface

12. An infinitely long thin non-conducting wire is parallel to the z-axis

and carries a uniform line charge density . It pierces a thin non-

conducting spherical shell of radius R in such a way that the arc

PQ subtends an angle 0120 at the centre O of the spherical shell, as

shown in the figure The permittivity of free space is 0.

Which of the following statements is (are) true?

A) The electric flux through the shell is 0

3R

B) The z component of the electric field is zero at all the points on

the surface of the shell

C) The electric flux through the shell is 0

2R

D) The electric field is normal to the surface of the shell at all points


Narayana CO Schools

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13. A cubical region of side a has its center at the origin. It encloses

three fixed point charges, ( )at 0, / 4,0 , 3q a q− − + at ( )0,0,0 , and

( )at 0, / 4,0 .q a− + Choose the correct option(s).

A) The net electric flux crossing the plane / 2x a= + is equal to the

net electric flux crossing the plane / 2x a= −

B) The net electric flux crossing the plane / 2y a= + is more than

the net electric flux crossing the plane / 2y a= −

C) The net electric flux crossing the entire origin is 0/q

D) The net electric flux crossing the plane / 2z a= + is equal to the

net electric flux crossing the plane / 2x a= +

14. An electric dipole is placed at the centre of a sphere. Then choose

correct options

A) The flux of the electric field through the sphere is zero

B) The electric field is zero at every point of the sphere

C) The electric field is not zero anywhere on the sphere

D) The electric field is zero an a circle on the sphere


Narayana CO Schools

8

SECTION – III (15 TO 18) (PARAGRAPH TYPE)

This section contains 2 Paragraphs based on these 2 questions each given.

Each question has 4 options (A), (B), (C), (D). ONLY ONE of these four options

is CORRECT. Darken the bubble corresponding to the correction option in

ORS.

Marking scheme +3 for correct answer, 0 in all other cases.

Paragraph for Question no. 15 and 16

Two particles A and B, having opposite charges 62 10 C− and 62 10 C−−

are placed at a separation of 1cm. Then

15. The electric dipole moment of this pair is

A) 82 10 C m− B) 84 10 C m−

C) 0 D) 86 10 C m−

16. The electric filed at a point on the axis of the dipole 1m away from

the centre is

A) 300 N/C B) 360 N/C

C) 400 N/C D) 450 N/C


If the flux of the electric field through a closed surface is zero, then

17. The charge inside the surface must be________

A) zero B) one

C) infinity D) 0.5

18. The electric field _________every where on the surface.

A) infinity B) may be zero

C) must be 1 D) must be 0.5


Narayana CO Schools

9


This section contains 6 multiple choice questions. Each question has four choices (A), B), (C) and (D) out of which ONLY ONE OPTION IS CORRECT. Marking scheme +3 for correct answer, 0 if not darkened any bubble, -1 in all other cases.

19. The most stable oxidation state of lanthanoids is

A) +5 B) +2 C) +3 D) +4

20. The cumulative effect of the contraction of the lanthanoid series,

known as

A) Lanthanoid expansion B) Lanthanoid contraction

C) Actinoid contraction D) Actinoid expansion

21. Gadolinium belongs to 4f series. It’s atomic number is 64. Which of

the following is the correct electronic configuration of gadolinium?

A) 7 1 24 5 6Xe f d s B) 6 2 24 5 6Xe f d s

C) 8 24 6Xe f d D) 9 14 5Xe f s

22. When 4KMnO solution is added to oxalic acid solution, the

decolourisation is slow in the beginning but becomes instantaneous

after some time because

A) CO2 is formed as the product B) Reaction is exothermic

C) 4MnO− catalyses the reaction D) 2Mn + acts as autocatalyst

23. On addition of small amount of 4KMnO to concentrated 2 4H SO , a

green oily compound is obtained which is highly explosive in

nature. Identify the compound from the following.

A) 2 7Mn O B) 2MnO C) 4MnSO D) 2 3Mn O

24. Potassium permanganate used for the bleaching of

A) Wool B) Cotton C) Silk D) All of these


Narayana CO Schools

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(MULTIPLE CORRECT CHOICE TYPE) This section contains 8 multiple choice questions. Each question has 4 options





25. Identify the correct statement among the following

A) d-Block elements show irregular and erratic chemical

properties among themselves

B) La and Lu have partially filled d orbitals and no other partially

filled orbitals

C) The chemistry of various lanthanoids is very similar

D) 4f and 5f orbitals are equally shielded

26. There are 14 elements in actinoid series. Which of the following

elements belong to this series?

A) U B) Np C) Tm D) Fm

27. Which of the following actinoids show oxidation states upto +7?

A) Am B) Pu C) U D) Np

28. In context of the lanthanoids, which of the following statements is

correct?

A) All the members exhibit +3 oxidation state

B) Because of similar properties the separation of lanthanoids is

not easy.

C) Availability of 4f electrons results in the formation of compounds

in +4 state for all the members of the series.

D) There is a gradual decrease in the radii of the members with

increasing atomic number in the series.

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

A) Both the manganate and permanganate ions are tetrahedral

B) The green manganate is paramagnetic

C) The permanganate is diamagnetic

D) The permanganate is paramagnetic


Narayana CO Schools

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

A) Sodium and potassium dichromates are strong oxidising agents

B) Sodium dichromate is used as an oxidising agent in organic

chemistry

C) Potassium dichromate is used as a primary standard in

volumetric analysis

D) The acidified potassium dichromate will oxidise iodides to iodine

31. Although +3 is the characteristic oxidation state for lanthanoids but

cerium also shows +4 oxidation state because

A) it has variable ionisation enthalpy

B) it has a tendency to attain noble gas configuration

C) it has a tendency to attain 0f configuration

D) it resembles 4Pb +

32. Acidified permanganate solution oxidizes

A) oxalates to carbon dioxide B) iron(II) to iron(III)

C) nitrites to nitrates D) iodides to free iodine

SECTION – III (33 TO 36)

(PARAGRAPH TYPE) This section contains 2 Paragraphs based on these 2 questions each given. Each question has 4 options (A), (B), (C), (D). ONLY ONE of these four options

is CORRECT. Darken the bubble corresponding to the correction option in ORS. Marking scheme +3 for correct answer, 0 in all other cases.


Dichromates are generally prepared from chromate, which in turn are

obtained by the fusion of chromite ore ( )2 4FeCr O with sodium or

potassium carbonate in free access of air. The yellow solution of sodium

chromate is filtered and acidified with sulphuric acid to give a solution

from which orange sodium dichromate, 2 2 7 22Na Cr O . H O can be

crystallised.


Narayana CO Schools

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33. During the conversion of chromate to dichromate the oxidation

state of chromium is

A) Decreased B) Increased

C) Does not change D) does not predict

34. The chromates and dichromates are

A) interconvertible in aqueous solution depending upon pH of the

solution

B) interconvertible in aqueous solution independent of pH of the

solution

C) Only chromates converts into dicromates

D) Only dichromates converts into cromates


The lanthanoids resemble one another more closely than do the members

of ordinary transition elements in any series. They have only one stable

oxidation state and their chemistry provides an excellent opportunity to

examine the effect of small changes in size and nuclear charge along a

series of otherwise similar elements

35. The electronic configuration of lanthanoids having

A) 26s common B) 25s common

C) 24s common D) 27s common

36. The correct statement about lanthanides is/ are?

A) All the lanthanoids are silvery white soft metals

B) The hardness increases with increasing atomic number

C) Lanthanoids have typical metallic structure

D) All of these


Narayana CO Schools

13


This section contains 6 multiple choice questions. Each question has four

choices (A), B), (C) and (D) out of which ONLY ONE OPTION IS CORRECT.

Marking scheme +3 for correct answer, 0 if not darkened any bubble, -1 in all other cases.

37. If ( )/ 2

1

0

ln sinI x dx

= and ( )/ 4

2

/ 4

ln sin cos ,I x x dx

−

= + then

A) 1 22I I= B)

1 2I I= C) 1 24I I= D)

1 22I I=

38. Let ( ) ( ), , 0.xf x e g x x x= = If ( ) ( ) ( )0

,

t

F t f t x g x dx= − then

A) ( ) ( )1tF t e t= − + B) ( ) tF t te=

C) ( ) tF t te−= D) ( ) ( )1 1tF t e t= − +

39. The value of

5 1

22

4 2

1

1 1ln 1

1

xx dx

x x x

+

+ + −

− +

A) ln 24

B) ln 2

2

− C) ln 2

4

D) ln 2

8

40. If ( )

2

0

cos,

2

xA dx

x

=+

then / 2

0

sin 2

1

xdx

x

=+

A) 1 1

2 2A− +

+ B)

1 1

2 2A+ −

+

C) 1

2A−

+ D)

1 1

2 2A− −

+

41. Let ( )f x be a monotonic differentiable function on , .a b Then

( ) ( )( )

( )1

f bb

a f a

f x dx f x dx−+ =

A) ( ) ( )af b bf a− B) ( ) ( )f b f a

b a

−

−

C) ( ) ( )

2

f a f b+ D) ( ) ( )bf b af a−


Narayana CO Schools

14

42. Given a function : 0,4f R⎯⎯→ is differentiable. Then for some

( ), 0,2 , ( )4

0

f t dt =

A) ( ) ( )2 2f f + B) ( ) ( )2 22 f f +

C) ( ) ( )2 22 f f +

D) ( ) ( ) ( ) ( )f f f f +


(MULTIPLE CORRECT CHOICE TYPE)

This section contains 8 multiple choice questions. Each question has 4 options





43. Let ( ) ( )1

F x f x fx

= +

where ( )

1

ln,

1

xt

f x dtt

=+

then

A) ( )1 0F = B) ( )1

2f e = C) ( )

1

8F e = D) ( )2 2F e =

44. 2 2

1 1

0 0

Tan x dx Cot x dx− − + = ( )Where . denotes . .G I F

A) 2 tan1 cot1− + B) 2 tan1 cot1+ −

C) ( )2 1 cot 2+ D) ( )2 1 cot 2−

45. Which of the following statement(s) is/are true?

A) If ( )1

0

1, 0,

ln

xI dx

x

− = then ( ) ( )ln 1I = +

B) If ( )f x and ( )g x are continuous functions and ,a R then

( ) ( )( ) ( ) ( )( ). 0

a

a

f x f x g x g x dx−

+ − − − =

C) For ( )

0

1, ;

2

n n nn N x dx

− = ( ). . .denotes G I F

D) For 0

, ;2

nn

n N x dx = ( )where denotes fractional part function


Narayana CO Schools

15

46. If ( ) ( ) ( )( )0

cos sin cos cos ,

x

f x t t dt= + then ( )f x+ =

A) ( ) ( )2f x f+ B) ( ) ( )f x f+

C) ( ) 22

f x f

+

D) ( )2

f x f

+

47. If ( ) ( ) ( )1

0

,f x x t x t f t dt= + + then

A) ( )1

0

42

23f x dx = B) ( )

24 18

23 23f x x= +

C) ( )1

1

36

23f x dx

−

= D) ( )48 18

23 23f x x= +

48. If ( ) ( )2 2f x f x− = + and ( ) ( )4 4 ,f x f x− = + x R and ( )f x is a

function for which ( )2

0

5,f x dx = then

A) ( )50

0

120f x dx = B) ( )100

0

250f x dx =

C) ( ) ( )50 54

0 4

f x dx f x dx= D) ( ) ( )52 46

2 4

f x dx f x dx−

=

49. If 2 7 6 5 3 2

2

2

2 3 10 7 12 1,

2 2 2

x x x x x x a bdx

x c−

+ − − − + + = −

+

where , , ; ,a b c N b c are different primes, then

A) 16a = B) 6a bc− = C) 48ab = D) 2 6a c− =

50. For 0, ,4

x

let ( )/ 4

tan

1

0

tan ,x

I x dx

= ( )/ 4

cot

2

0

tan ,x

I x dx

=

( )/ 4

tan

3

0

cot ,x

I x dx

= ( )/ 4

cot

4

0

cot ,x

I x dx

= then

A) 4 3I I B) 3 1I I C) 1 2I I D) 1 4I I

SECTION – III (51 TO 54)


Narayana CO Schools

16

(PARAGRAPH TYPE) This section contains 2 Paragraphs based on these 2 questions each given. Each question has 4 options (A), (B), (C), (D). ONLY ONE of these four options

is CORRECT. Darken the bubble corresponding to the correction option in ORS. Marking scheme +3 for correct answer, 0 in all other cases.


Let ( )f x be a continuous function such that ( )1

2 ,4

f x f x x R

+ + =

then answer the following

51. ( )f x is

A) even B) odd C) periodic D) non-periodic

52. ( )1000

0

f x dx =

A) 500 B) 1000 C) 2000 D) 4000


Let ( ) ( ) ( )/ 2

/ 2

sin sin cosf x x x t x f t dt

−

= + + then answer the following

53. The range of ( )f x is

A) 3 3

,2 2

−

B) 5 5

,2 2

−

C) 2 2

,3 3

−

D) 5 5

,3 3

−

54. The value of ( )/ 2

0

f x dx

=

A) –1 B) 1 C) – 2 D) 2

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