JEE (ADVANCED) 2018 PAPER 2 PART I- PHYSICS · JEE (Advanced) 2018 Paper 2 Q.3 V-अक्ष...
Transcript of JEE (ADVANCED) 2018 PAPER 2 PART I- PHYSICS · JEE (Advanced) 2018 Paper 2 Q.3 V-अक्ष...
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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)
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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)
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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)
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JEE(Advanced)2018 Paper2
Q.4 (focal length) (concave mirror) , |
() ( )? ( (scale) |)
(A)
(B)
(C)
(D)
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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)
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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 | __________ |
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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) |
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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) |
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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 | __________ |
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JEE(Advanced)2018 Paper2
3 ( : 12) (04) | (02) (matching lists) : I II | I II |
| | :- : +3 | : 0 ( ) | : -1 |
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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
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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
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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
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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
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JEE(Advanced)2018 Paper2
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JEE (ADVANCED) 2018 PAPER 2 PART II- CHEMISTRY
1 ( : 24)
(06) | ( ) |
()| , () ( ) | : : +4 () ( ) |
: +3 |
: +2
| : +1
| : 0 ( ) |
: -2 |
: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |
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JEE(Advanced)2018 Paper2
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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 (
)
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JEE(Advanced)2018 Paper2
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Q.3 ( HNO3 H2SO4) 288 K P (51%), Q
(47%) R (2%) | () (major product(s))
()
(A)
(B)
(C)
(D)
R
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Q.4 D- (Fischerpresentation) |
D-
-L- (-L-glucopyranose) () ()
(A)
(B)
(C)
(D)
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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)
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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
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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)
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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 |
(%) )
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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 )
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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) |)
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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
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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
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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
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Q.18 -I (List-I) |
[H+] -II (List-II) |
( , () (degree of dissociation)
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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 , ()
|
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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
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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
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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) ,
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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
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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 |
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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)) _____ |
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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
_____ |
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JEE (Advanced) 2018 Paper 2
3 ( : 12)
(04) | (02) (matching lists) : I II |
I II |
|
|
:-
:+3 |
: 0 ( ) |
: -1 |
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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
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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
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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
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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