jee advanced 2014_test 6 (paper ii) code b

8/10/2019 JEE Advanced 2014_Test 6 (Paper II) Code B

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Space for Rough Work

Test - 6 (Paper-II) All India Aakash Test Series for JEE (Advanced)-2014

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PART - I : PHYSICS

SECTION - 1

Only One Option Correct Type

This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY

ONE is correct.

1. Figure shows a long conducting cylinder with inner radius aand outer radius b.

The cylinder carries a current into the page with current density J = r2. The

magnetic field at a point a< r< bfrom the axis is

(A) ( )4 402

r a

r

(B) ( )4 40

4

r a

r

a+

b

(C) ( )3 302

r a

r

(D) ( )3 304

r a

r

2. A long solid conducting cylinder of radius Rcarries acurrent i. The energy stored by the cylinder in the form of

magnetic field by 1 m length of the cylinder in the region 0 rRis

(A) 20

4

i (B)

20

8

i

(C) 20

12

i (D)

20

16

i

3. Two current carrying circular loops are placed closely as shown in figure. The integral Bdr along axis of the loopswithin range to would be

axis

I 3 I

(A) 0I (B) 2

0I

(C) 4 0I (D) Zero

TEST - 6 (Paper - II)Time : 3 Hrs. MM : 186


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All India Aakash Test Series for JEE (Advanced)-2014 Test - 6 (Paper-II)

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4. A conducting loop moves with constant velocity 2 m/s in

nonuniform and variable magnetic field B= t2x2T (wherexis in

meter and tis in second) as shown in figure. The magnitude of

emfinduced at t= 1 s is

(A) 2 volt (B)20

3volt

b = 1m

y

x

B

t= 0

a

=1m

V= 2 m/s

(0,0)

(C)14

3volt (D)

68

3volt

5. A metallic rod of length Lis rotated in a horizontal plane with an angular velocity where no magnetic field exists.

The emf induced in the rod, if the charge and mass of electron is eand mrespectively, is

O

L

A

(A)2m

e(B)

2

2

m

e

(C)2 2 m

e(D)

2 2

2

m

e

6. The arrangement shows two long metallic rails connected to resistance Rforming an inclined plane. Magnetic field

is vertical in the region.Aslider of mass mand length will move with the terminal velocity (incline is smooth)

B

R

m

(A) 2 2 2cos

sin

mgR

B(B) 2 2 2

sin

cos

mgR

B

(C)2 2

tan

mgR

B(D) 2 2

tan

mgR

B


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SECTION - 2

One or More Options Correct Type

This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONE

OR MORE are correct.

7. Two parallel long resistanceless rails are joined at ends by a resistance R. A slider of mass m, length , has been

imparted a velocity V0. System is kept in horizontal plane submerged in a uniform magnetic field B.

Q

P

m

V0

B

R

(A) The distance travelled by slider before it stops is 02 2

mV R

B

(B) The direction of current in slider is from Pto Q

(C) The velocity of slider at time 02 2

is VmRteB

=

(D) The velocity of slider at time0

2 2 is

2

VmRt

B=

8. A direct current Iflows along lengthy straight wire from the point O, the current spreads radially all over an infinite

conducting plane perpendicular to wire.Xand Yare two points at rdistance from wire just above and just below

conducting plane respectively as shown in figure. Choose the correct option(s)

X

Y

r

rO(A) Net magnetic field at0

4

iX

r

=

(B) Magnetic field atXdue to conducting plane will be0

4

i

r

directed outward

(C) Net magnetic field at Ywould be zero

(D) Magnetic field at Ydue to conducting plane would be0

4

i

r

directed inward


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9. Figure shows an ac circuit. The rmsvoltage of the source is e0. The rms current through the source when

R C

C R

~

L

(A) The frequency of ac generator is very low (near zero) is2

rmsV

R

(B) The frequency of ac generator is very low (near zero) is2

rmsV

R

(C) The frequency of the source is very high (much higher than resonant frequency) is2

rmsV

R

(D) The frequency of the source is very high (much higher than resonant frequency) is2

rmsV

R

10. A current Iflows in a long straight wire with cross-section having the form of a thin half-pipe of radius R. An equal

and opposite current flows in a long wire placed along the axis of the pipe. Choose the correct options.

R

(A) Magnetic field at a point on the axis of the pipe is0

22

I

R

(B) Magnetic field at a point on the axis of the pipe is0

2

I

R

(C) The force per unit length of the central wire is

2

0

2

I

R

(D) The force per unit length of the central wire is

2

0

22

I

R


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11. A charged particle having charge qand mass mmoves with velocity0

at 0=v i t at origin.

q m, V0

X

Y

E0

B0

(A) The Y-coordinate of the particle when it cuts the Yaxis for the nthtime is

2 2

0

2

0

2 E mn

qB

(B) The Y-coordinate of the particle when it cuts the Yaxis for the nthtime is

2 2

0

2

0

4 E mn

qB

(C) The angle made by the velocity vector with Yaxis when it cuts the Yaxis for nthtime is1 0

0

tan2

BV

nE

(D) The angle made by the velocity vector with Yaxis when it cuts the Yaxis for nthtime is1 0

0

tan4

BV

nE

SECTION - 3

Paragraph Type

This section contains 2 paragraphs. Each describing theory, experiment, data etc. Four questions relate to two 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 for Question Nos. 12 to 13

Let Sto be a static frame of reference in which electric field E

and magnetic field B

are equal to zero and0B k

respectively. And a charge qand mass mmoves with velocity v vi=

.

12. The value of electric field in frame S' moving with ,vi would be

(A) Zero (B) Bvj

(C) Bvj (D) Bvk


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13. Let E' and B' are electric field and magnetic field in frame S' moving with respect to Sat velocity v

. Which of

following equation is/are wrong?

(A)2

' zy y

vEB B

c= + (B)

2

' zy y

vBE E

c=

(C) 'y y z

B B vE = + (D) Both equations given in option (B) & (C)


Figure shows acylindrical region of radius R, having a uniform magnetic field B0. Outside this region, there is a

ring of mass m, radius 2Rand having linear charge density . Ring is kept on arough horizontal surface having

coefficient of friction .

2RR

B0

m,

14. If the magnetic field is switched off all of a sudden, then angular velocity acquired by the ring is

(A) 0

4

RB

m(B)

0

2

B R

m

(C) 0

4

R B

m(D)

0

2

R B

m

15. The number of revolutions made by the ring before it stops is

(A)

2 2 2

0

28

R B

g m(B)

2 3 2

0

28

R B

g m

(C)

2 2

0

28

R B

g m(D)

2 2

0

28

R B

g m


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SECTION - 4

Matching Column Type

This section contains 2 multiple choice questions. Each question has matching Columns. The codes for the Columnshave choices (A), (B), (C) and (D) out of which ONLY ONEis correct.

16. Match the circuits with their respective time constants in the codes given below the columns.

Column I (Circuit) Column II (Time Constant)

(P) 23H

6H

2V (1) 2 s

(Q)

2 8H

63

V

(2)1s

2

(R) 1

V

3

6H

3H

(3) 1 s

(S)

V6H

2 6

4

3

(4) 3 s

Codes :

P Q R S

(A) 1 2 4 3

(B) 1 2 3 4

(C) 3 1 2 4

(D) 3 2 1 4


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17. Match the dimensional formulae with corresponding units in the codes given below the columns.

Column I (Dimensional formula) Column II (Unit)

(P) ML2 T2 A1 (1) farad

(Q) M1 L2 T4 A2 (2) weber

(R) ML2 T2 A2 (3) ohm

(S) ML2 T3 A2 (4) henry

Codes :

P Q R S

(A) 2 1 3 4

(B) 2 1 4 3

(C) 3 4 1 2

(D) 3 4 2 1

SECTION - 5

Integer Value Correct Type

This section contains 3 questions. The answer to each of the question is a single digit integer, ranging from 0 to 9. The

appropriate bubbles corresponding to the respective question numbers in the ORS have to be darkened. For example,if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of

bubbles will look like the following :

0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

18. A charge q, having mass menters a circular region of radius R, having magnetic field B. If the velocity of the particle

is( )

,n RqB

mthen it passes through the centre of the circular region O. Find n

30v0

RO

B


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19. Three charges are located on the vertices of an equilateral triangle of side a. System is rotated with an angular

velocity about an axis perpendicular to the plane of triangle and passing through centroid. Magnetic dipole moment

of this system is2

. Find .q a

nn

q, m

G

a

q, m q, m

20. After along time switch is swapped from 1 to 2 at t= 0. The time when energy on capacitor and inductor will be

same for the first time is .

LCn

Find n.

1 2

C LV

PART - II : CHEMISTRY

SECTION - 1



ONE is correct.

21. Of the given compounds which will be more reactive towards SN2 reaction?

H

CH3

Br

H

CH3

H

(I) (II)

CH3

HBr

H

H

CH3

(A) (II) is more reactive than (I) (B) (I) is more reactive than (II)

(C) Both (I) and (II) are equally reactive (D) Both (I) and (II) do not undergo SN2 reaction


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22. Which one of the following compounds is the most acidic?

(A)

+NH

3

(B)

NH3

OH

+

(C)

NH3

CH3

+

(D)

NH3

NO2

+

23. Phenoxide ion is more stable than phenol due to better resonance stabilisation of phenoxide ion. Which one of the

following resonating structures of phenoxide ion is most stable?

(A)

O

(B)

O

(C)

O

(D)

O

24. Identify the product (P) in the following reaction

OH

H+

(P)

(A)OH

(B)

O CH3

(C)

OH

CH3

(D)

OH

25. Hydroboration followed by oxidation of 1-methylcyclohexene gives

(A) 1-Methylcyclohexanol (B) Trans-2-Methylcyclohexanol

(C) Cis-2-Methylcyclohexanol (D) Both (B) & (C)


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26. Predict the product formed when Br2 reacts 1-methylcyclopentene

(A) Br H

Me Br

(B) MeBr

Br H

(C) Me H

Br Br

(D) Both (A) & (B)

SECTION - 2




27. Identify the products (A) and (B) formed in the following reaction

(B) C H ONa

2 5

+C H OH2 5CH

3 CH CH2conc.H SO

2 4

+C H OH2 5(A)

O

(A) A: CH3

CH CH2

OH

OC H2 5

(B) B: CH3 CH CH2

OH

OC H2 5

(C) A: CH3

CH CH2

OH

OC H2 5

(D) B: CH3

CH CH2

OH

OC H2 5

28.

OHHO

(A) NaBH

4 (B) H /

+

(C)H

+

Which of the following is correct about the products (A) and (C)?

(A)

O

A: (B)

O

A:

(C) C: (D) C:


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29. When p-cresol is treated with CHCl3and NaOH followed by acidification, 2-hydroxy-5-methylbenzaldehyde is obtained.

Which of the following species are involved in the above reaction as intermediates?

(A)

O

H

CCl2

CH3

(B)

O

CHCl2

CH3

(C)OH

CH3

O

CH Cl

(D)

OH

CCl2

30. Identify the reagent (X) used in the following reaction

CH OH2 (X) CH Cl2

(A) Conc. HCl/Anh.ZnCl2

(B) PCl5

(C) PCl3

(D) SOCl2

31. Identify the product(s) formed in the following reaction

CH3

CH3

(1) O3

(2) Zn/H O2Product(s)

(A)

CHO

CHO

(B) CH3 C CHO

O

(C) CH2

CHO

CH3

(D) CH3 C

O

C CH3

O


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SECTION - 3

Paragraph Type

This section contains 2 paragraphs. Each describing theory, experiment, data etc. Four questions relate to two 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).


Nucleophilicity is the reactivity of a nucleophile. Generally a negatively charged species and a neutral molecule

with at least one atom with a lone pair of electrons acts as a nucleophile. The same species can act as a base by

abstracting proton from another species. The basic strength of a given species is directly related to charge density.

Higher the charge density higher will be the basic strength. Whereas the nucleophilicity of a given species depends

on the polarisability and size of the species.

32. The correct basicity order is

(A) HO> C2H5O> H

2N> Cl> CH

3COO (B) Cl> H

2N> CH

3COO> HO> C

2H5O

(C) C2H5O> HO> H

2N> CH

3COO> Cl (D) H

2N> C

2H5O> HO> CH

3COO> Cl

33. Nucleophilicity order in a polar aprotic (DMSO) solvent is

(A) HO> CH3O> (CH

3)2CHO> (CH

3)3CO (B) CH

3O> (CH

3)2CHO> HO > (CH

3)3CO

(C) (CH3)3CO> (CH

3)2CHO> CH

3O > HO (D) HO> (CH

3)3CO> (CH

3)2CHO> CH

3O


Organic compounds having phenolic OH, COOH, and SO3H groups show acidic character. The strength of acid

is dependent on inductive effect and resonance. The acidic strength of ortho substituted benzoic acids are explained

by ortho effect.

34. The correct order of acidic strength is

(A)

OH OH OH

NO2

>

NO2

>

OH

NO2

> (B)

OH OH OH

NO2

>

NO2

>

OH

>

NO2

(C)

OH OH OH

NO2

>

NO2

>

OH

>

NO2

(D)

OH OH OH

> >

OH

>

NO2

NO2

NO2


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35. Consider the following ortho substituted benzoic acids and choose the strongest acid

(A)

COOH

CH3

(B)

COOH

Cl

(C)

COOH

OH

(D)

COOH

NO2

SECTION - 4Matching Column Type

This section contains 2 multiple choice questions. Each question has matching Columns. The codes for the Columns

have choices (A), (B), (C) and (D) out of which ONLY ONEis correct.

36. Match the column

Column I Column II

(P) HC CH + Cu2Cl

2/NH

4OH (1) Electrophilic addition

(Q) HC CH + Cu2Cl

2/NH

4Cl (2) Acid-base reaction

(R) HC CH + HCl (3) Polymerisation

(S) HC CH + HCN/Ba(CN)2 (4) Nucleophilic addition

Codes :

P Q R S

(A) 2 3 1 4

(B) 3 2 1 4

(C) 2 3 4 1

(D) 4 1 3 2


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37. Match the column

Column I Column II

(P) OH

CH3

Lucas

Reagent(1) Green colour

(Q) OH

Victor

Meyer test (2) Violet colour

(R) CH OH2K Cr O /H

2 2 7

+

(3) White turbidity

(S) OHNeutral FeCl Sol.

3

(4) Blue colour

Codes:

P Q R S

(A) 3 1 4 2

(B) 1 3 2 4

(C) 3 4 1 2

(D) 2 4 1 3

SECTION - 5

Integer Value Correct Type

This section contains 3 questions. The answer to each of the question is a single digit integer, ranging from 0 to 9. The

appropriate bubbles corresponding to the respective question numbers in the ORS have to be darkened. For example,

if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of

bubbles will look like the following :

0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

38. Number of isomers (including stereomers) obtained on dichlorination of cyclopentane is ______.

39. Number of hyperconjugation structures of propene is _______.

40. How many optically active isomers are obtained on monochlorination of isopentane?


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PART - III : MATHEMATICS

SECTION - 1



ONE is correct.

41. The function f(x) = |x | + . |x| x(, ), where > 0, > 0, > 0, assumes its minimum value only at apoint if

(A) (B)

(C) (D) = =

42. The equation 8x3 ax2+ bx 1 = 0 has three real roots in G.P. If 1 a

2, then ordered pair (

1,

2) can be

(A) (2, 2) (B) (24, 29)

(C) (10, 3) (D) (, )

43. The value of

2

2013

cosec 2013

cos

xdx

x

is equal to

(A) 2013cot

(cos )

xc

x

+ (B) 2013

tan

(cos )

xc

x

+

(C) 2013(tan )

(cos )

xc

x

+ (D) Not integrable

44. The value of 6 2sin 2 2 tan

(cos 6 cos 4)

x x

x x

+

+ + dxis equal to

(A)2

7

1 cos2

cos

xc

x

++ (B)

21

7

1 1 costan

cos2

xc

x

+

+

(C)

2

7

1 1 coslog

12 cos

xc

x

++

(D)

6 2

6

1 cos 6 cos 4ln

12 cos

x xc

x

+ ++

45. If1

01

te

k dtt

=+

, then1

0

log (1 )te t dt + is equal to

(A) k (B) 2k

(C) e log2 k (D) e log2 + k


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46. If kNand Ik=

2

2

| sin | [sin ]k

k

x x dx

, (where [.] denotes greatest integer function), then the value of

50

1

k

k

I

= equals to

(A) 10200 (B) 5100

(C) 2550 (D) 20400

SECTION - 2




47. If the equationx5 10a3x2 + b4x+ c5 =0 has three equal roots, then

(A) 2b2 10a3b2+ c5= 0 (B) 6a5+c5= 0

(C) 2c5 10 a3b2+ b4c5= 0 (D) b4= 15a4

48. The values of parameter '' for which the point of local minima of the function f(x) = 1 + 2x x3satisfies the

inequality2

2

20

5 6

x x

x x

+ +

jee advanced 2014_test 6 (paper ii) code b

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