JEE(Advanced)2018 Paper2

JEE (ADVANCED) 2018 PAPER 2 PART I- PHYSICS

1 ( : 24)

(06) | ( ) |

()| , () ( ) | : : +4 () ( ) |

: +3 |

: +2

| : +1

| : 0 ( ) |

: -2 |

: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |

Q.1 (mass) (origin) |

- (kinetic energy) , / ,

(positive constant) | () ()?

(A) (constant)

(B) (proportional)

(C) , (linearly)

(D) (conservative)

JEE(Advanced)2018 Paper2

Q.2 (viscous) (tank) (thin

square plate) | , |

(constant) | () () ?

(A) (resistive force) (inversely proportional)

(B)

(C) (floor) (tangential/shear stress)

(D) (viscosity)

(linearly)

JEE(Advanced)2018 Paper2

Q.3 - (non-conducting) (uniform line charge density) | (spherical shell) (arc) , 120 , | (permittivity of free space) | () ()?

(A) (electric flux) 3 / (B) (electric field) - ( -component) (surface)

(C) (electric flux) 2 / (D) (electric field) (normal)

JEE(Advanced)2018 Paper2

Q.4 (focal length) (concave mirror) , |

() ( )? ( (scale) |)

(A)

(B)

(C)

(D)

JEE(Advanced)2018 Paper2

Q.5 (decay chain) Th , Pb | (process) (emitted) | () ()?

(A) 5 (B) 6 (C) 2 (D) 4

Q.6 - (resonating air column) 500 (tuning fork) | -

| (successive) , 50.7 83.9 | () ()?

(A) 332 (B) (end correction) 0.9 (C) (wavelength) 66.4 (D) 50.7 , (fundamental harmonic)

JEE(Advanced)2018 Paper2

2 ( : 24)

(08) | (NUMERICAL VALUE) | ( , /; 6.25,

7.00, -0.33, -.30, 30.27, -127.30) (MOUSE) (ON-SCREEN) (VIRTUAL NUMERIC KEYPAD) |

:- : +3 (Numerical value) |

: 0 |

Q.7 (solid horizontal surface) (thin layer)

(covered) | (mass) 0.4 (rectangular block) | 1.0 (impulse) 0 - (x-axis) / , 4 | , (displacement) __________ | 0.37 |

Q.8 (ground) (horizontal surface) 45 (projected) | 120 | (kinetic energy) |

30 | __________ |

JEE(Advanced)2018 Paper2

Q.9 , (mass) 10 (charge) 1.0 , | 0 (electric field) , 1.0 10 s | (electrical force) | (subsequent)

__________ |

Q.10 (moving coil galvanometer) 50 (turns) (area) 2 10 | 0.02 (magnetic field) | (suspension wire) (torsional

constant) 10 | , 0.2 (full scale deflection) | 50 | 0 1.0 (range) (ammeter) | (shunt) (parallel) | __________ (ohms) |

JEE(Advanced)2018 Paper2

Q.11 , (diameter) 0.5 (Youngs modulus) 2 10 , (mass) | 1.0 | 10 (vernier scale) | (reference) 1.0 (least count) (main scale) | 10 9 | , (coincident) | 1.2 , __________ | = 10 3.2 |

Q.12 (monatomic ideal gas) (volume),

(adiabatic expansion) , |

(universal gas constant) 8.0 | 100 , (internal energy) __________ (Joule) |

JEE(Advanced)2018 Paper2

Q.13 (photoelectric) 200 (power) (a parallel beam of monochromatic light)

(perfectly absorbing cathode) | - (work function) 6.25 | , (threshold frequency) , (photoelectrons) (kinetic energy) | (photoelectron

emission efficiency) 100% | (anode) 500 (potential difference) | (normal incidence) |

10 | ________ | (mass) 9 10 1.0 1.6 10 |

Q.14 - (hydrogen-like ionized) (atomic number) | | - (emission spectrum) , 2 1 (transition) (photon) ,

3 2 74.8 | (ionization energy) 13.6 | __________ |

JEE(Advanced)2018 Paper2

3 ( : 12) (04) | (02) (matching lists) : I II | I II |

| | :- : +3 | : 0 ( ) | : -1 |

JEE(Advanced)2018 Paper2

Q.15 (charge distributions) (electric field) 0, 0, - | -I - (relations) | -II | -I -II |

I

P. ,

Q. R. S.

II

1. (origin) (point charge) 2. (small dipole)

0, 0, 0, 0, | 2

3. (infinite) (uniform linear charge density) - (coincident)

4. - | 0, 0, | 2

5. (uniform surface charge density) (infinite plane sheet) -

(A) P 5; Q 3, 4; R 1; S 2 (B) P 5; Q 3; R 1, 4; S 2 (C) P 5; Q 3; R 1, 2; S 4 (D) P 4; Q 2, 3; R 1; S 5

JEE(Advanced)2018 Paper2

Q.16 (mass) (planet) (natural satellites)

(revolve) | (gravitational attraction) | , , , (angular momentum) , (kinetic energy) (period of revolution) , | , , , , , |

/ 2 / 1/4 , -I -II |

I

P.

Q.

R.

S.

II

1.

2. 1

3. 2

4. 8

(A) P 4; Q 2; R 1; S 3 (B) P 3; Q 2; R 4; S 1 (C) P 2; Q 3; R 1; S 4 (D) P 2; Q 3; R 4; S 1

JEE(Advanced)2018 Paper2

Q.17 (monatomic ideal gas) (one mole), (thermodynamic processes) , (schematic diagram) | (isobaric), (isochoric), (isothermal) (adiabatic) | -I -II |

I

P. -I Q. -II R. -III S. -IV

II

1. 2. 3.

4. 6

(A) P 4; Q 3; R 1; S 2 (B) P 1; Q 3; R 2; S 4 (C) P 3; Q 4; R 1; S 2 (D) P 3; Q 4; R 2; S 1

JEE(Advanced)2018 Paper2

Q.18 -I , , (functions) | (positive constants) , | (conservative) | -II : (linear momentum) , (origin) (angular momentum) , (kinetic energy) , (potential energy) (total energy) | -I -II , (conserved) |

I

P. Q. cos sin R. cos sin S.

II

1. 2. 3. 4. 5.

(A) P 1, 2, 3, 4, 5; Q 2, 5; R 2, 3, 4, 5; S 5 (B) P 1, 2, 3, 4, 5; Q 3, 5; R 2, 3, 4, 5; S 2, 5 (C) P 2, 3, 4; Q 5; R 1, 2, 4; S 2, 5 (D) P 1, 2, 3, 5; Q 2, 5; R 2, 3, 4, 5; S 2, 5

JEE(Advanced)2018 Paper2

1/14

JEE (ADVANCED) 2018 PAPER 2 PART II- CHEMISTRY

1 ( : 24)

(06) | ( ) |

()| , () ( ) | : : +4 () ( ) |

: +3 |

: +2

| : +1

| : 0 ( ) |

: -2 |

: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |

JEE(Advanced)2018 Paper2

2/14

Q.1 [Co(en)(NH3)3(H2O)]3+ (en = H2NCH2CH2NH2) ()

(A) (geometricalisomers)

(B) (bidentate) en

(cyanideligands)

(C) (paramagnetic)

(D) [Co(en)(NH3)4]3+ - (wavelength)

Q.2 Mn2+ Cu2+ ()

(A) (flame test) Mn2+ (characteristic)

(B) H2S Cu2+

(C) H2S Mn2+

(D) Cu2+/Cu (reduction potential) Mn2+/Mn (

)

JEE(Advanced)2018 Paper2

3/14

Q.3 ( HNO3 H2SO4) 288 K P (51%), Q

(47%) R (2%) | () (major product(s))

()

(A)

(B)

(C)

(D)

R

JEE(Advanced)2018 Paper2

4/14

Q.4 D- (Fischerpresentation) |

D-

-L- (-L-glucopyranose) () ()

(A)

(B)

(C)

(D)

JEE(Advanced)2018 Paper2

5/14

Q.5 300 K A(g) 2B(g) + C(g) ,

( = 0) | A, [A]0

, A (partialpressure) (initial value) 1/3

1/3 | ()

( )

(A)

(B)

(C)

(D)

JEE(Advanced)2018 Paper2

6/14

Q.6 AP , [A] [P] T1 T2

> , ()

(H S ln K ln K | H, S, G K, , , (Gibbs)

|)

(A) H < 0, S < 0

(B) G < 0, H > 0

(C) G < 0, S < 0

(D) G < 0, S > 0

JEE(Advanced)2018 Paper2

7/14

2 ( : 24)

(08) | (NUMERICAL VALUE) | ( , /; 6.25,

7.00, -0.33, -.30, 30.27, -127.30) (MOUSE) (ON-SCREEN) (VIRTUAL NUMERIC KEYPAD) |

:- : +3 (Numerical value) |

: 0 |

Q.7 , (bridging)

____ |

N2O3, N2O5, P4O6, P4O7, H4P2O5, H5P3O10, H2S2O3, H2S2O5

Q.8 (Galena) ( ) |

,

(contents) - (self-reduction) | O2 kg

Pb (kg ) ____ |

( g mol1 : O = 16, S = 32, Pb = 207)

JEE(Advanced)2018 Paper2

8/14

Q.9 MnCl2 ,

MnCl2 + K2S2O8 + H2O KMnO4 + H2SO4 + HCl ( )

KMnO4 | HCl

| , (225 mg) | MnCl2 (mg ) _____ |

( g mol1 : Mn = 55, Cl = 35.5)

Q.10 X (optically active stereoisomers)

____ |

Q.11 , 10 D ( ) ____

|

( , g mol1 : H = 1, C = 12, N = 14, O = 16, Br = 80 |

(%) )

JEE(Advanced)2018 Paper2

9/14

Q.12 , | 1250 K

| 1

% |

: 2Cu(s) + H2O(g) Cu2O(s) + H2(g)

1250 K H2 (bar ) | ln ____ | ( , = 1 bar, R ( ) = 8 J K1mol1, ln(10) = 2.3 ;

Cu(s) Cu2O(s) |

1250 K : 2Cu(s) + O2(g) Cu2O(s); G = 78,000 J mol1

H2(g) + O2(g) H2O(g); G = 1,78,000 J mol1; G )

Q.13 (reversible reaction) |

A g B g AB g (backward reaction) (activation energy)

(forward reaction) 2RT (J mol1 ) |

(pre-exponential factor) 4 ,

300 K G (J mol1 ) (absolute) ____ |

( , ln(2) = 0.7, 300 K = 2500 J mol1, G )

JEE(Advanced)2018 Paper2

10/14

Q.14 : A(s) | An+ (aq, 2 M) || B2n+ (aq, 1 M) | B(s)

| 300 K H G | emf

, 300 K B S (J K1 mol1 )

____ |

( , ln(2) = 0.7, ( ) = 8.3 J K1 mol1 | H, S G,

, (Gibbs) |)

JEE(Advanced)2018 Paper2

11/14

3 ( : 12) (04) | (02) (matching lists) : I II | I II |

| | :- :+3 | : 0 ( ) | : -1 |

Q.15 -I (List-I) (hybrid orbitals) -II (List-II)

( ) |

List-I

P. dsp2

Q. sp3

R. sp3d2

S. d2sp3

List-II

1. [FeF6]4

2. [Ti(H2O)3Cl3]

3. [Cr(NH3)6]3+

4. [FeCl4]2

5. Ni(CO)4

6. [Ni(CN)4]2

(A) P 5; Q 4,6; R 2,3; S 1

(B) P 5,6; Q 4; R 3; S 1,2

(C) P 6; Q 4,5; R 1; S 2,3

(D) P 4,6; Q 5,6; R 1,2; S 3

JEE(Advanced)2018 Paper2

12/14

Q.16 -I (List-I) -II (List-II)

X |

( , (migratory aptitude) : > > )

(A) P 1; Q 2,3; R 1,4; S 2,4

(B) P 1,5; Q 3,4; R 4,5; S 3

(C) P 1,5; Q 3,4; R 5; S 2,4

(D) P 1,5; Q 2,3; R 1,5; S 2,3

JEE(Advanced)2018 Paper2

13/14

Q.17 -I (List-I) -II (List-II) |

-I -II

|

(A) P 1,5; Q 2; R 3; S 4

(B) P 1,4; Q 2; R 4; S 3

(C) P 1,4; Q 1,2; R 3,4; S 4

(D) P 4,5; Q 4; R 4; S 3,4

JEE(Advanced)2018 Paper2

14/14

Q.18 -I (List-I) |

[H+] -II (List-II) |

( , () (degree of dissociation)

JEE (Advanced) 2018 Paper 2

JEE (ADVANCED) 2018 PAPER 2

PART III- MATHEMATICS

1 ( : 24)

(06) |

() |

()|

, () () |

:

: +4 () () |

: +3 |

: +2

|

: +1

|

: 0 ( ) |

: -2 |

: , ;

+4 | ( ),

( ) +2 |

( ), ( ) +1

| ( ), -2 , ()

|

JEE (Advanced) 2018 Paper 2

Q.1 (positive integer) , : (0, ) ,

() = tan1 (

1

1+(+)(+1))=1 (0, ) ,

| ( (inverse trigonometric function)

tan1, (

2,

2) |) () ()?

(A) tan2((0)) = 555=1

(B) (1 + (0)) sec2((0)) = 10

10=1

(C) (fixed) , lim

tan (()) = 1

(D) (fixed) , lim

sec2( ()) = 1

Q.2 , (2, 7) (2, 5) (line) | 1

(pairs of circles) (1, 2) (set) , 1 2

(tangent) 1 2 , , |

(1, 2) , 1 (varies) (set) 1 ,

(locus) | 2 - (straight line segments) ,

(1, 1) 1 (pair of distinct points)

| 2, 2 |

() ()?

(A) (2, 7) 1 (B) (4

5,

7

5 ) 2

(C) (1

2, 1) 2 (D) (0,

3

2 ) 1

JEE (Advanced) 2018 Paper 2

Q.3 (column matrices)[

123

] (set)

1, 2, 3 (real variables) (system of

equations)

+ 2 + 5 = 1

2 4 + 3 = 2

2 + 2 = 3

(solution) | (

) () [

123

] ?

(A) + 2 + 3 = 1, 4 + 5 = 2 + 2 + 6 = 3

(B) + + 3 = 1, 5 + 2 + 6 = 2 2 3 = 3

(C) + 2 5 = 1, 2 4 + 10 = 2 2 + 5 = 3

(D) + 2 + 5 = 1, 2 + 3 = 2 + 4 5 = 3

JEE (Advanced) 2018 Paper 2

Q.4 (straight lines) , , (circle) 2 + 2 =1

2

(parabola) 2 = 4 (tangent) |

(intersect) | (ellipse) (centre)

(origin) (0,0) - (semi-major axis) |

(minor axis) 2 , () ()?

(A) (eccentricity) 1

2 (latus rectum) 1

(B) 1

2

1

2

(C) =1

2 = 1 (bounded) (region)

(area) 1

42( 2)

(D) =1

2 = 1

1

16( 2)

Q.5 , , (non-zero) (complex numbers)

(equation) + + = 0 (solutions) = + (, , = 1 )

, z = | () ()?

(A) (element) , || ||

(B) || = ||, (infinitely many)

(C) { | 1 + | = 5} 2

(D) ,

JEE (Advanced) 2018 Paper 2

Q.6 : (0, ) (twice differentiable) (function)

lim

() sin () sin

= sin2 (0, ) |

(

6) =

12 , () ()?

(A) (

4) =

42

(B) () < 4

6 2 (0, )

(C) (0, ) (existence) () = 0

(D) (

2 ) + (

2 ) = 0

JEE (Advanced) 2018 Paper 2

2 ( : 24)

(08) | (NUMERICAL VALUE) |

( , /; 6.25,

7.00, -0.33, -.30, 30.27, -127.30) (MOUSE) (ON-SCREEN)

(VIRTUAL NUMERIC KEYPAD) |

:-

: +3 (Numerical value) |

: 0 |

JEE (Advanced) 2018 Paper 2

Q.7 (integral)

1 + 3

(( + 1)2(1 )6)14

12

0

_____ |

Q.8 , 3 3 (order) (matrix) (entries)

(set) {1, 0, 1} | (determinant)

(maximum possible value) _____ |

Q.9 (set) 5 (elements) 7 |

(one-one functions) (onto)

, 1

5 ! ( ) _____ |

Q.10 : (differentiable function)

(0) = 0 | = (), (differential equation)

= (2 + 5)(5 2)

, lim

() _____ |

Q.11 : (differentiable function)

(0) = 1, ,

( + ) = ()() + ()()

| log( (4)) _____ |

JEE (Advanced) 2018 Paper 2

Q.12 (first octant) , (plane) + = 3

(image) ( + = 3

+ = 3 ) - (axis) | - 5 |

- , _____ |

Q.13 (first octant) (cube) , (sides) ,

1 : - (axis), - - (along) ,

(0,0,0) (origin) | (centre) (1

2,

1

2,

1

2) , (vertex)

(opposite) (diagonal) |

= , = , = = , |( ) ( )| ___ |

Q.14

= ( C110 )2

+ 2( C210 )2

+ 3( C310 )2

+ + 10( C1010 )2

,

,10Cr {1, 2, , 10}, (binomial coefficients) | 1

1430

_____ |

JEE (Advanced) 2018 Paper 2

3 ( : 12)

(04) | (02) (matching lists) : I II |

I II |

|

|

:-

:+3 |

: 0 ( ) |

: -1 |

JEE (Advanced) 2018 Paper 2

Q.15 1 = { 1

1> 0 }

2 = { 1 sin1 (log (

1)) (real number) }

( (inverse trigonometric function) sin1 , [

2,

2]

|)

: 1 , () = log (

1)

: 2 , () = sin1 (log (

1)) |

I

P. (range)

Q. (contained)

R. (domain)

S.

II

1. (,1

1] [

1, )

2. (0, 1)

3. [1

2,

1

2]

4. (, 0) (0, )

5. (,

1]

6. (, 0) (1

2,

1]

:

(A) P 4; Q 2; R 1; S 1

(B) P 3; Q 3; R 6; S 5

(C) P 4; Q 2; R 1; S 6

(D) P 4; Q 3; R 6; S 5

JEE (Advanced) 2018 Paper 2

Q.16 (high school) , 6 1, 2, 3, 4, 5, 6 5 1, 2,

3, 4, 5 (group) (committee) |

(i) 1 (ways) 5

, (exactly) 3 2 |

(ii) 2 (at

least) 2 , (equal) |

(iii) 3 5 ,

2 |

(iv) 4 4 ,

2 1 1 |

I

P. 1

Q. 2

R. 3

S. 4

II

1. 136

2. 189

3. 192

4. 200

5. 381

6. 461

:

(A) P 4; Q 6; R 2; S 1

(B) P 1; Q 4; R 2; S 3

(C) P 4; Q 6; R 5; S 2

(D) P 4; Q 2; R 3; S 1

JEE (Advanced) 2018 Paper 2

Q.17 : 2

2

2

2= 1, > > 0, y - (plane)

(hyperbola) (conjugate axis) (vertex) 600

(angle) (subtend) | (triangle)

(area) 43 |

I

P.

Q. (eccentricity)

R. (foci)

S. (latus rectum)

II

1. 8

2. 4

3

3. 2

3

4. 4

:

(A) P 4; Q 2; R 1; S 3

(B) P 4; Q 3; R 1; S 2

(C) P 4; Q 1; R 3; S 2

(D) P 3; Q 4; R 2; S 1

JEE (Advanced) 2018 Paper 2

Q.18 1: , 2 : (

2,

2) , 3 : (1,

2 2) 4:

(i) 1() = sin (1 2),

(ii) 2() = {|sin |

tan1 0

1 = 0 , (inverse

trigonometric function) tan1 , (

2,

2) ,

(iii) 3() = [ sin(log( + 2))]; , [],

(greatest integer) ,

(iv) 4() = {2 sin (

1

) 0

0 = 0

I

P. 1

Q. 2

R. 3

S. 4

II

1. = 0 (continuous)

2. = 0 = 0

(differentiable)

3. = 0 = 0

(derivative)

4. = 0 = 0

:

(A) P 2; Q 3; R 1; S 4

(B) P 4; Q 1; R 2; S 3

(C) P 4; Q 2; R 1; S 3

(D) P 2; Q 1; R 4; S 3

Paper2_HINDI_PHYPaper2_HINDI_CHMPaper2_HINDI_MTH