jee (advanced) 2018 paper 1 part-i physics - … · jee (advanced) 2018 paper 1 part-i physics...
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JEE(Advanced)2018 Paper1
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JEE (ADVANCED) 2018 PAPER 1 PART-I PHYSICS
1 ( : 24)
(06) | ( ) |
()| , () ( ) | : : +4 () ( ) |
: +3 |
: +2
| : +1
| : 0 ( ) |
: -2 |
: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |
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JEE(Advanced)2018 Paper1
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Q.1 (mass) (potential energy) /2 , (fixed point) (dimensions) (positive constant) | (circular orbit) | (angular momentum) (magnitude) , () ()?
(A)
(B)
(C) (D)
Q.2 1.0 (mass) 0 (origin) | , 1.0 1.0 |
1.0 (torque) | () ()?
(A)| | (B) (unit vector)
(C) 1 v 2 (D) 1
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JEE(Advanced)2018 Paper1
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Q.3 (uniform capillary tube)
(vertically) (beaker) | , (water surface) , | (surface tension) | (angle of contact) | (meniscus) (mass) | () ()?
(A)
(B) ,
(C) (constant acceleration) (lift)
, (D) (proportional)
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JEE(Advanced)2018 Paper1
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Q.4 (switches) 0 (circuit) | (batteries) - (electromotive force; emf) (polarity)
| (inductors) (mutual inductance) | , () ()?
(A) (B) (C) ln 2 (D) ln 2
Q.5 - | (constant) |
(circular loop), 0, 0, 3 , - | (constant current) | (clockwise) | (positive) (unit vector) | () ()?
(A) = , 0, 0, 0 (B) 0 0 , 0, 0, 0 (C) 0 0 , 0, 0, 0 (D) = , -
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JEE(Advanced)2018 Paper1
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Q.6 (monatomic ideal gas) (cyclic process) ( V T ) | () ()?
(A) I (isochoric)
(B) II (absorb)
(C) IV (release) (D) I III (isobaric)
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JEE(Advanced)2018 Paper1
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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 , | (constant) /6 | 3 , , (seconds) , __________ |
Q.8 (horizontal straight line) |
1.0 2.0 | 12 (vertical plane) | 1430 | 330 | 10 , | , (frequency of beats) __________ |
Q.9 (ring) (disc), (inclined plane) - (side by side) | , (horizontal plane) 60 | , (rolling without slipping) | 2 3 /10 , _________ | 10 |
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JEE(Advanced)2018 Paper1
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Q.10 - (spring-block system) (frictionless floor)
, | (spring constant) 2.0 (mass) 2.0 | | (unstretched) | , 1.0 2.0 , (elastic collision) | 2.0 | , __________ |
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JEE(Advanced)2018 Paper1
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Q.11 (identical capacitors) , 1.0 (uncharged) | ,
, (circuit) (relative permittivity) (dielectric) | (cell) (electromotive force, emf) 8 | (switch) | (charged) ,
(simultaneously) |
(equilibrium) , 5 | __________ |
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JEE(Advanced)2018 Paper1
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Q.12 - 0 (uniform magnetic field) 0 | (positively
charged particle) (origin) 0 - (projected), | | - | 4 , - (average speed) __________ |
Q.13 , (intensity) 1.3 , (convex lens) (incident normally)| (focal length)
20 | (aperture size) | , 22
__________ |
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JEE(Advanced)2018 Paper1
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Q.14 - (cylindrical conductors)
(in series) (heat baths) ,
| 300 100 | | (thermal conductivity) | (steady state) , (junction) 200 , / __________ |
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JEE(Advanced)2018 Paper1
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3 ( : 12)
(02) | (02) | | | | :- : +3 | : 0 ( ) | : -1 |
X
(phenomena) | (dimensions) | ,
(free space) (permittivity)
(permeability) | | SI (units) |
( X , )
Q.15
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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X
(phenomena) | (dimensions) | ,
(free space) (permittivity)
(permeability) | | SI (units) |
( X , )
Q.16
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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A
(independent quantities) (measurement errors) , (dependent quantity) (calculation) | (series expansion) (error) (first power) (truncate) | ,
/ , , , 1
1 . 1 , / , 1 / |
(relative errors) | .
/ 1, / 1 | (higher powers) |
( A , )
Q.17 - (dimensionless) , (ratio)
| / 1 , ?
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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A
(independent quantities) (measurement errors) , (dependent quantity) (calculation) | (series expansion) (error) (first power) (truncate) | ,
/ , , , 1
1 . 1 , / , 1 / |
(relative errors) | .
/ 1, / 1 | (higher powers) |
( A , )
Q.18 3000 | 1.0 1000 40 | | | 1 , ln 1 | (decay constant) , ,
(A) 0.04 (B) 0.03 (C) 0.02 (D) 0.01
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JEE(Advanced)2018 Paper1
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JEE (ADVANCED) 2018 PAPER 1 PART-II CHEMISTRY
1 ( : 24)
(06) | ( ) |
()| , () ( ) | : : +4 () ( ) |
: +3 |
: +2
| : +1
| : 0 ( ) |
: -2 |
: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |
Q.1 300oC (thermal decomposition) N2
() ()
(A) NH4NO3
(B) (NH4)2Cr2O7
(C) Ba(N3)2
(D) Mg3N2
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JEE(Advanced)2018 Paper1
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Q.2 - (binary transition metal carbonyl compounds)
() ( : Fe = 26, Ni = 28)
(A) Fe(CO)5 Ni(CO)4 (valence shell)
16
(B) (low spin)
(C) ,
(D) , CO
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JEE(Advanced)2018 Paper1
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Q.3 15 , ()
(A) Bi2O5, N2O5 (basic)
(B) NF3, BiF3 (covalent)
(C) PH3, NH3
(D) NN , PP
Q.4 X () ()
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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Q.5 () 1,3,5- (1,3,5-trimethylbenzene)
()
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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Q.6 (reversible cyclic process) | P, V T, , | q, , H, U, , , , |
()
(A)
(B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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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 (species) (diamagnetic) ___
|
H , NO2 (monomer), O2 (superoxide),
(dimeric sulphur), Mn3O4, (NH4)2[FeCl4], (NH4)2[NiCl4], K2MnO4,
K2CrO4
Q.8 NiCl2.6H2O (coordination compound)
| 100% | 1584 g
952 g NiCl2.6H2O ,
(gypsum) - (combined weight)
( ) ____ | ( g mol1 : H = 1, N = 14, O = 16, S = 32, Cl = 35.5, Ca = 40, Ni = 59)
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JEE(Advanced)2018 Paper1
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Q.9 NaCl MX | (Z)
(unit cell) MX
| (charge) | (i) (X)
(ii) - (face centred) (M) (X)
(iii) (M)
(iv) (X) (M)
Z _____ |
Q.10 Mg(s) Mg2+ (aq, 1 M) Cu2+ (aq, 1 M) Cu(s)
, 300 K (standard) emf 2.70 V | Mg2+ M
, 300 K (cell potential) 2.67 V |
____ | ( , = 11500 K V1, (Faraday constant)
, ln(10) = 2.30)
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JEE(Advanced)2018 Paper1
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Q.11 A B , ( ) |
(perfect heat insulator)
(Figure 1) | ,
, (Figure 2),
A (m3 ) ____ |
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JEE(Advanced)2018 Paper1
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Q.12 A B | T , A B
45 Torr | , A B xA xB
22.5 Torr | xA /xB ____ |
( A T 20 Torr )
Q.13 pH 3 (AB) Y103 mol L1 | Y ____ |
( AB (Ksp) = 21010 HB (Ka) = 1108)
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JEE(Advanced)2018 Paper1
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Q.14 X Y NaCl
( P T ) | NaCl |
S (kg ) X (elevation of boiling point) Y |
S (dimerization) | Y
(degree of dimerization) 0.7 , X ____ |
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JEE(Advanced)2018 Paper1
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3 ( : 12)
(02) | (02) | | | | :- : +3 | : 0 ( ) | : -1 |
X AlCl3/CuCl CO/HCl Ac2O/NaOAc , X | X, Br2/Na2CO3 KOH 473 K Y | X H2/Pd-C H3PO4 Z |
( X , )
Q.15 Y
(A) (B)
(C) (D)
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X AlCl3/CuCl CO/HCl Ac2O/NaOAc , X | X, Br2/Na2CO3 KOH 473 K Y | X H2/Pd-C H3PO4 Z |
( X , )
Q.16 Z
(A) (B)
(C)
(D)
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JEE(Advanced)2018 Paper1
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A P (C11H12O2) (dibasic acid)
, (dacron) | , P ,
| P Q R | P
S |
( A , )
Q.17 R
(A) (B)
(C) (D)
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A P (C11H12O2) (dibasic acid)
, (dacron) | , P ,
| P Q R | P
S |
( A , )
Q.18 S
(A) (B)
(C)
(D)
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JEE (ADVANCED) 2018 PAPER 1 PART-III MATHEMATICS
1 ( : 24)
(06) | ( ) |
()| , () ( ) | : : +4 () ( ) |
: +3 |
: +2
| : +1
| : 0 ( ) |
: -2 |
: , ; +4 | ( ), ( ) +2 | ( ), ( ) +1 | ( ), -2 , ( ) |
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JEE(Advanced)2018 Paper1
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Q.1 (non-zero) (complex number) , arg
(principal argument) , arg | () ()?
(A) arg 1 , 1
(B) (function) : , , arg 1 , (continuous) , 1 (C) arg arg arg 2 (integer multiple)
(D) (distinct) , ,
(condition) arg , (locus) (straight line)
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JEE(Advanced)2018 Paper1
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Q.2 (triangle) , 30 103 10 | () ()?
(A) 45
(B) (area) 253 120
(C) (incircle) (radius) 103 15
(D) (circumcircle) 100
Q.3 : 2 3 : 2 2 (plane) | () ()?
(A) (line of intersection) - (direction ratios)
1, 2, 1 (B)
(perpendicular)
(C) (acute angle) 60
(D) , 4, 2, 2 , 2, 1, 1
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JEE(Advanced)2018 Paper1
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Q.4 (twice differentiable) (function) : 2, 2 ,
0 0 85, () ()?
(A) , , , (existence) (open interval) , (one-one)
(B) 4, 0 | | 1 (C) lim 1 (D) 4, 4 = 0 0
Q.5 : : (non-constant) (differentiable) (function) |
1 2 1, () ()?
(A) 2 1 log 2 (B) 2 1 log 2
(C) 1 1 log 2 (D) 1 1 log 2
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JEE(Advanced)2018 Paper1
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Q.6 : 0, (continuous function)
1 2
0, | () ()?
(A) (curve) 1, 2
(B) (curve) 2, 1
(C) (region) , 0, 1 1 2 (area)
(D) (region) , 0, 1 1 2
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JEE(Advanced)2018 Paper1
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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.8 5 (digits) (numbers), 4 (divisible) , (set)
1, 2, 3, 4, 5 (repetition) , ______ |
Q.9 (arithmetic progression) 1, 6, 11, 2018
(set) , 9, 16, 23, 2018 |
(elements) _____ |
Q.7 log 9 7 ______ |
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JEE(Advanced)2018 Paper1
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Q.10
sin 2 2 cos 2
(real solutions) (interval) , , _____ |
( (inverse trigonometric function) sin cos
: , 0, |)
Q.11 (positive integer) ,
1 2 .
, (greatest integer) | lim , _____ |
Q.12 (unit vector) 0 | , | | | 2 , 8 cos ____ |
Q.13 , , (non-zero) (real numbers)
3 cos 2 sin , , , (distinct real roots) , , | ____ |
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JEE(Advanced)2018 Paper1
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Q.14 (triangular) (vertices) 0, 0 ,1, 1 2, 0 | 1 (curve) |
(region) (area) 30% , _____ |
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JEE(Advanced)2018 Paper1
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3 ( : 12)
(02) | (02) | | | | :- : +3 | : 0 ( ) | : -1 |
X (circle) - (plane) (equation) 4
| ( X , )
Q.15 (chords) 1, 1 : - (axis) - (parallel) | , S (slope) 1 | (tangents)
, , | (curve) , ,
(A) 4 (B) 4 4 16
(C) 4 4 4 (D) 4
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JEE(Advanced)2018 Paper1
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X (circle) - (plane) (equation) 4
| ( X , )
Q.16 (coordinates)
(positive) | (tangent) (coordinate axes)
(intersects) | (curve)
(line segement) (mid-point) ,
(A) 3 (B) / / 2 /
(C) 2 (D)
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JEE(Advanced)2018 Paper1
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A
, , , (seat) , , , , ( 1, 2, 3, 4, 5 (allot) | ,
(randomly) | ( A , )
Q.17
(probability)
(A) (B) (C) (D)
A
, , , (seat) , , , , ( 1, 2, 3, 4, 5 (allot) | ,
(randomly) | ( A , )
Q.18 ( 1, 2, 3, 4 - (adjacent to each other) |
(A) (B) (C) (D)
Paper1_HINDI_PHYPaper1_HINDI_CHMPaper1_HINDI_MTH