JEE (ADVANCED) 2018 PAPER 1 PART-I PHYSICS - … · JEE (ADVANCED) 2018 PAPER 1 PART-I PHYSICS...

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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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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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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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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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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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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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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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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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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Q.14 - (cylindrical conductors)

(in series) (heat baths) ,

| 300 100 | | (thermal conductivity) | (steady state) , (junction) 200 , / __________ |


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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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X

(phenomena) | (dimensions) | ,

(free space) (permittivity)

(permeability) | | SI (units) |

( X , )

Q.16

(A)

(B)

(C)

(D)


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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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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 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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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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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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Q.5 () 1,3,5- (1,3,5-trimethylbenzene)

()

(A)

(B)

(C)

(D)


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Q.6 (reversible cyclic process) | P, V T, , | q, , H, U, , , , |

()

(A)

(B)

(C)

(D)


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2 ( : 24)

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



: 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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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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Q.11 A B , ( ) |

(perfect heat insulator)

(Figure 1) | ,

, (Figure 2),

A (m3 ) ____ |


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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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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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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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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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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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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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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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2 ( : 24)

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



: 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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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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Q.14 (triangular) (vertices) 0, 0 ,1, 1 2, 0 | 1 (curve) |

(region) (area) 30% , _____ |


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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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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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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

JEE (ADVANCED) 2018 PAPER 1 PART-I PHYSICS - … · JEE (ADVANCED) 2018 PAPER 1 PART-I PHYSICS...

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