class: sz3 jee-main model date: 19-07-2020 time: 3hrs wtm ... · class: sz3 jee-main model date:...
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Class: SZ3 JEE-MAIN MODEL Date: 19-07-2020
Time: 3hrs WTM-07 Max. Marks: 300
IMPORTANT INSTRUCTIONS
PHYSICS
Section Question Type +Ve
Marks - Ve
Marks No.of
Qs Total marks
Sec – I(Q.N : 1 – 20) Questions with Single Answer Type 4 -1 20 80
Sec – II(Q.N : 21 – 25) Questions with Numerical Answer Type
(+/ - Decimal Numbers) 4 0 5 20
Total 25 100
CHEMISTRY
Section Question Type +Ve
Marks - Ve
Marks No.of
Qs Total marks
Sec – I(Q.N : 26 – 45) Questions with Single Answer Type 4 -1 20 80
Sec – II(Q.N : 46 – 50) Questions with Numerical Answer Type
(+/ - Decimal Numbers) 4 0 5 20
Total 25 100
MATHEMATICS Section Question Type
+Ve Marks
- Ve Marks
No.of Qs
Total marks
Sec – I(Q.N : 51 – 70) Questions with Single Answer Type 4 -1 20 80
Sec – II(Q.N : 71 – 75) Questions with Numerical Answer Type
(+/ - Decimal Numbers) 4 0 5 20
Total 25 100
SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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–:SZ3 Jee-Main Exam Syllabus (19-07-20):–
TOPICS
PHYSICS
PRESENT WEEK 50%:
Kinematics - 1D:Rest and Motion, Distance, Displacement, Average speed
and Instantaneous speed, Equations of motion (uniform acceleration),
Vertical motion, Worksheet Practice.
PREVIOUS WEEK 50%:
Multiplication of Vectors by a Scalar, Scalar Product, Vector Product,
Worksheet Practice
TOPICS
CHEMISTRY
PRESENT WEEK 50%:
Co - ordinate covalent bond (dative bond),, Properties of co - ordinate
covalent bond VBT, Vsepr theory, Hybridisation.
PREVIOUS WEEK 50%:
Crystal lattice of NaCl, CsCl, unit cell, coordination number, limiting radius
ratio, Properties of ionic compounds, Covalent bond, formation Lewis dot
structures, types, Co - valency, formal charge, Resonance, characteristics
of resonance, Properties of covalent compounds.
TOPICS
MATHS
PRESENT WEEK 50%:
DIstance Formula And Its Applications ( Ex:7.1 X Ncert)
PREVIOUS WEEK 50%:
Transformations: Standard Formulae of Trigonometric Transformations,
Conditional Identities, Related Problems.
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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SECTION-I(1-20)
(Single Answer Type)
This section contains 20 multiple choice questions. Each question has 4 options
(1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.
01. A boy walks to his school at a distance of 6 km with constant speed
of 2.5 kmph and walks back with a constant speed of 4 kmph. His
average speed for round trip expressed in kmph is
1) 24/13 2) 40/13 3) 3 4) 1/2
02. A body moving with a uniform acceleration had velocities of 20 m/s
and 30 m/s when passing the points P and Q of its path. Find the
velocity midway between P and Q (in m/s)
1) 450 2) 550 3) 650 4) 500
03. A particle has an initial velocity of 3 4i j+ and an acceleration of
0.4 0.3 .i j+ Its speed after 10 s is
1) 10 m/s 2) 7 m/s 3) 7 2 /m s 4) 8.5 m/s
04. If a body covers first half of its journey with uniform speed 1v and
the second half of the journey with uniform speed 2v , then the
average speed is
1) 1 2
2
V V+ 2) 1 2
1 2
2V V
V V
+
+ 3) 1 2
1 2
2VV
V V+ 4)
( )1 2
1 2
+V V
VV
05. The average speeds of 3 vehicles A, B and C are 18 km/h, 17 m/s
and 2 km/ min respectively arrange them in ascending order
1) A, B, C 2) B, C, A 3) C, A, B 4) C, B, A
06. A particle has an initial velocity of 9 m/s due east and a constant
acceleration of 2 m/s2 due west. The distance covered by the
particle in the fifth second of its motion is
1) 0m 2) 0.5 m 3) 2 m 4) 1 m
SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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07. Speeds of two identical cars are u and 4u at a specific instant with
uniform acceleration. The ratio of the respective distances in which
the two cars are stopped from that instant is
1) 1:1 2) 1: 4 3) 1: 8 4) 1:16
08. If a 26= , b 7= , and a b 35 = . Find a.b .
1) 10 2) 7 3) 8 4) 9
09. If ˆ ˆ ˆa 2i 6j 3k= + + , ˆ ˆ ˆb i j k= + + . If a b 0 = , find the value of
and
1) 3, 3/2 2) 3/2, 3 3) ½, 3 4) 3, 1/2
10. If A B 3 = A.B , then the value of A B+ is
1) 1/2
2 2 ABA B AB
3
+ +
2) A+B
3) ( )1/2
2 2A B 3AB+ + 4) ( )1/2
2 2A B AB+ +
11. The scalar product of two perpendicular vectors is _________
1) 2) 0 3) Positive 4) Negative
12. If ' ' is the angle between unit vectors A and ,B then ( )( )
1 .
1 .
A B
A B
−
+ is
equal to
1) 2sin2
2) 2cot2
3) 2
2tan
4) 2cos2
13. The angle between ( ) ( )A B and B A is ( in radian )
1) π/2 2) π 3) π/4 4) zero
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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14. If 2 3 2 3A i j and B j k= + = + the component of B along A is
1) 6 2) 1
6 3)
6
13 4)
6
13
15. Cross product of two vectors is a_____________
1) Scalar 2) negative quantity
3) vector 4) None
16. The numerical value of the ratio of average velocity to average speed
is
1) always less than one 2) always equal to one
3) always more than one 4) equal to or less than one.
17. If car covers 2/5th of the total distance with 1v speed and 3/5th
distance with 2v then average speed is
1) 1 2
1
2v v 2) 1 2
2
v v+ 3) 1 2
1 2
2v v
v v+ 4) 1 2
1 2
5
3 2
v v
v v+
18. The correct equation of motion is
1) v u as= + 2) v ut a= +
3) 1
2S ut at= + 4) v u at= +
19. If ,A Band C are coplanar vectors, then
1) ( ). 0A B C = 2) ( ). 0A B C =
3) ( ). . 0A B C = 4) all the above are true
20. If two vectors A and B are parallel, then A B equal to
1) 0 2) B A 3) 4) None
SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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SECTION-II(21-25)
(Numerical Value Answer Type)
This section contains 5 questions. The answer to each question is a Numerical
values comprising of positive or negative decimal numbers (place value
ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.
21. The scalar product of two vectors is 2 3 and the magnitude of their
vector product is 2. The angle between them is _____________degree.
22. The value of ( ) ( )A B A B+ − is ( ).N B A Then the value of N s
23. A man walks at a speed of 6 /km hr for 1 km and 8 /km hr for the next
1 .km The average speed for the walk of 2 km is __________ /7
Nkm hr .
24. An old person moves on a semi-circular track of radius 40m during
a morning walk. If he starts at one end of the track and reaches at
the other end. The displacement covered of the person is
___________m.
25. An old person moves on a semi-circular track of radius 40m during
a morning walk. If he starts at one end of the track and reaches at
the other end. The distance covered of the person is ___________m.
(Given ( )3.14 = )
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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SECTION-I(26-45)
(Single Answer Type)
This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be
correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.
26. Coordinate covalent bond is formed by
1) Transfer of electrons 2) Sharing of electrons
3) Donation of electrons 4) All
27. The orbital overlapping is maximum in
1) 2Cl 2) HI 3) HCl 4) HBr
28. Valence bond theory of Pauling and Slater accounts for the
following characteristic of covalent bond
1) Directional 2) Ionic
3) Strength 4) Hybrid
29. Shape of molecule is decided by
1) Sigma bond 2) Pi bonds
3) Both sigma and pi bonds 4) Neither sigma nor pi bonds
30. According to valence bond theory the predicted bond angle for 2H O
1) 90 2) 109 28' 3) 107 18' 4) 104 28'
31. Which is not a linear molecule
1) 2CO 2) 2 2C H 3) HCN 4) 2H O
32. Which one of the following is a correct set?
1) 3
2 ,H O sp , angular 2) 2
2 ,H O sp , linear
3) 2
4 ,NH dsp+ , square planar 4) 2
4,CH dsp , tetrahedral
SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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33. The s-character in the hybrid orbital of the central atom, present in
a molecule having the shape of an octahedron is
1) 25% 2) 75% 3) 40% 4) 16.66%
34. The formal charge the o-atom in the ion : :O N O+
= = is
1) 2− 2) +1 3) 1− 4) 0
35. Covalence of nitrogen in ammonium ion is
1) 2 2) 3 3) 4 4) 5
36. Select the correct Lewis structures out of the following
1) : :O C N−
− = cyanate ion 2) 2
:C C−
carbide ion
3) : :Cl O−
− hypochlorite ion 4) : :N O − nitrogen(II) oxide
37. Electron dot structure of 2SO is given below
:O S O − =
Formal charges on each atom are
1) O (left) : +1;S :0 ; O (right) : –1
2) O (left) :+1 ;S :0 ; O (right) :0
3) O (left) : –1;S :0 ; O (right) : –1
4) O (left) :0;S :0 ; O (right) : 0
38. Which of the following has coordination number is 4
1) ZnS 2) HgS
3) NaCl 4) Both 1 & 2
39. If radius ratio is 0.225-0.115 coordination number is
1) 3 2) 4 3) 6 4) 8
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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40. Each unit cell of NaCl consists of 4 chloride ions and
1) 13 Na+ ions 2) 4 Na+ ions
3) 6 ions 4) 8 ions
41. In a crystal lattice, the number of nearest neighbours to each atom
is called as
1) Shape 2) Coordination number
3) Unit cell 4) All
42. The coordination number of Na+ in rock salt structure is
1) 4 2) 3 3) 6 4) 8
43. Compared with covalent compounds, electrovalent compounds,
generally have
1) Low melting points and low boiling points
2) Low melting points and high boiling points
3) High melting points and low boiling points
4) High melting points and high boiling points
44. For two ionic solids, CaO and KI . Identify the wrong statement
among the following
1) Lattice energy of CaO is much larger than that of KI
2) KI is soluble in benzene
3) CaO has higher melting point
4) KI has lower melting point
45. Which of the following conditions is correct for resonating
structures
1) Contributing structures should have similar energy
2) Position of atomic nuclei is similar in all resonating structures
3) The number of bonding and non-bonding pairs of electrons in
canonical structures should be similar
4) All
Na+ Na+
SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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SECTION-II(46-50)
(Numerical Value Answer Type)
This section contains 5 questions. The answer to each question is a Numerical
values comprising of positive or negative decimal numbers (place value
ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.
46. Based on VSPER theory, number of lone pairs in 2XeF is
47. Most acidic H in the following compound is attached to c-atoms
denoted by at S.No 2 2
4 2 15 3
CH CH CH C CH= − −
48. How many of the following exhibit Isomorphism
I) 2 4K SO and 2 4K CrO
II) 4 2.7ZnSO H O and 4 2.7MgSO H O
III) NaF and MgO
IV) 2 2,K S KCl and CaCl
49. How many following compounds contain(s) no covalent bond(s)?
3 2 2 6 2 4, , , ,KCl PH O B H H SO
50. Find the number of molecules or ions in which d-orbitals is/are not
used in hybridisation
6 4 4 5 3 2 2 2 6 4 4, , , , , , , , ,PCl PCl IF IF XeO F ICl SF SF ASF SiF− + − + +
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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SECTION-I (51-70)
(Single Answer Type)
This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be
correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.
51. ( ) ( ) ( ) ( )Cos B C A Cos C A B Cos A B C Cos A B C+ − − + − + + − − + + =
1) 4sin cosA BcosC 2) 4sin cos sinA B C
3) 4cos cos sinA B C 4) 4cos sin cosA B C
52. If 2 ,A C B+ = then cos cos
sin sin
C A
A C
−=
−
1) cot B 2) cot 2B 3) tan2B 4) tan B
53. 0 0 0 0cos 20 sin 50 sin 5 cos65− =
1) 5 1
4
+ 2)
5 1
4
− 3)
3 1
4
− 4)
3 1
4
+
54. 0 0 0
2 0 01 1 12sin 8 4cos16 sin 7 sin 8 cos32
2 2 2+ + =
1) 3 1
2 2
− 2)
3 1
2 2
+ 3)
3 1
4 2
− 4)
3 1
2
+
55. If 4
cos cos ,5
x y+ = 2
cos cos ,7
x y− = then 14 tan 5cot2 2
x y x y− + + =
1) 0 2) 1
4 3)
5
4 4)
3
4
56. If 3
cos cos2
+ = and 1
sin sin ,2
+ = is the A.M of and , then
sin2 cos2+ is equal to
1) 5
2)
4
5 3)
7
5 4)
8
5
57. ( ) ( ) ( )
( ) ( )
sin 1 2sin sin 1
cos 1 cos 1
n A nA n A
n A n A
+ + + −=
− − +
1) tan2
A 2) 0tan 90
2
A −
3) tan A 4) cot A
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58. If 2 ,++ = then ( ) ( ) ( )cos cos cos cos++ − + − + − =
1) 4sin cos sin2 2 2
2) 4cos cos cos
2 2 2
3) 4sin sin sin2 2 2
4) 4sin sin sin
59. In sin sin sin
,sin sin sin
A B CABC
A B C
+ +
+ − is equal to
1) tan .cot2 2
A B 2) cot . tan
2 2
A B
3) cot .cot2 2
A B 4) tan . tan
2 2
A B
60. If 0270 ,A B C+ + = then cos2 cos2 cos2 4sin sin sinA B C A B C+ + + =
1) 0 2) 1 3) 2 4) 3
61. The coordinates of a point which divides externally the line joining
( )1, 3− and ( )3,9− in the ratio 1:3 is
1) ( )9, 3− 2) ( )9,3− 3) ( )3, 9− 4) ( )3,9
62. If the distance between the points ( ), 2a and ( )3,4 is 8, then ' 'a is
equal to
1) 2 3 15+ 2) 2 3 15−
3) 5 2 15 4) 3 2 15
63. The three points ( ) ( ) ( )2,2 , 8, 2 4, 3and− − − − are the vertices of
1) an isosceles triangle 2) an equilateral triangle
3) a right angled triangle 4) Scalene triangle
64. The points ( ) ( ) ( ) ( )4, 1 , 2, 4 , 4,0 , 2,3− − − − taken in order are the vertices
of a
1) Parallelogram 2) Rhombus
3) Rectangle 4) Square
65. The area of a triangle whose vertices are ( ) ( )1, 1 , 4,6− − and ( )3, 5− − is
( in sq.units)
1) 24 2) 26 3) 28 4) 42
SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020
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66. The coordinates of the point which divides the line segment joining
the points ( )4, 3− and ( )8,5 in the ratio 3:1 internally is
1) ( )3,7 2) ( )7, 3− − 3) ( )7,3− 4) ( )7,3
67. The points ( ) ( )1,2 , ( 3,4), 7, 1A B C− − are collinear. The ratio in which A
divides BC is
1) 2:3 2) 3:2 3) – 2:3 4) –3:2
68. The coordinates of three consecutive vertices of a parallelogram are
( ) ( )1,3 , 1,2− and ( )2,5 , then the coordinates of fourth vertex are
1) ( )6, 4 2) ( )4, 6− 3) ( )4, 6− − 4) ( )4,6
69. The points with the coordinates ( ) ( )2 ,3 , 3 ,2a a b b and ( ),c c are
collinear
1) for no values of , ,a b c 2) for all values of , ,a b c
3) if , ,5
ca b are in H.P 4) if
2, ,
5
ca b are in H.P
70. Let ( ) ( )1, , 1,1A k B and ( )2,1C be the vertices of a right angled triangle
with AC as its hypotenuse. If the area of the ABC is 1 sq unit. Then
set of values which k can take is given by
1) 1,3 2) 0, 2 3) 1,3− 4) 3, 2− −
SECTION-II(71-75)
(Numerical Value Answer Type)
This section contains 5 questions. The answer to each question is a Numerical
values comprising of positive or negative decimal numbers (place value ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -
123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.
71. The value of the expression 0 0
0
1 4sin10 sin 7019
2sin10
−
is equal to
72. If 0 0 0cos55 , cos65 , cos175 ,x y z= = = then ( )
264 xy yz zx+ + is equal to
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73. If P,Q are the points of trisection of ( ) ( )1, 2 , 5,6 ,A B− − then 3PQ is
equal to
74. The point P is equidistant from ( ) ( )1,3 , 3,5A B − and ( )5, 1C − . Then
2PA is equal to
75. If ( ) ( ) ( ) ( )3,4 , 1, 2 , 5,6 , , 4A B C D x= − = − − = = − are vertices of a
quadrilateral such that area of triangle 2ABD = (Area of triangle
ACD), then x is equal to
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