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Class: SZ3 JEE-MAIN MODEL Date: 26-07-2020
Time: 3hrs WTM-08 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
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–:SZ3 Jee-Main Exam Syllabus (26-07-20):–
TOPICS
PHYSICS
PRESENT WEEK 50%:
Simple Applications In Non Uniform Acceleration, Simple
Applications In Non Uniform Acceleration, Graphical Analysis Of
Motion - S-T Graph And Their Applications, V-T Graph And Its
Applications A-T Graph And Its Applications,A-S And V-S Graphs,
Applications
PREVIOUS WEEK 50%:
Kinematics - 1D:Rest and Motion, Distance, Displacement, Average
speed and Instantaneous speed, Equations of motion (uniform
acceleration), Vertical motion, Worksheet Practice.
TOPICS
CHEMISTRY
PRESENT WEEK 50%:
Bond parameters, Dipole moment, Molecular orbital theory,
Hydrogen bonding and back bonding, Practice problems.
PREVIOUS WEEK 50%:
Co - ordinate covalent bond (dative bond),, Properties of co -
ordinate covalent bond VBT, Vsepr theory, Hybridisation.
TOPICS
MATHS
PRESENT WEEK 40%:
Distance Formula, Section Formula, Area Of A Triangle,
Quadrilateral, Polygon, Geometric Points In A Triangle And Their
Properties And Applications, Miscellaneous Problems On The
Above Concepts Related Problems
PREVIOUS WEEK 40%:
DIstance Formula And Its Applications ( Ex:7.1 X Ncert)
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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 body starts from rest and it is uniformly accelerated for 30 s. The
distance travelled in the first 10 s is x1, next 10 s is x2 and last 10
s is x3. Then x1 : x2 : x3 is same as
1) 1 : 2 : 4 2) 1 : 2 : 5 3) 1 : 3 : 5 4) 1 : 3 : 9
02. A body starts from rest and travels a distance S with uniform
acceleration, then moves uniformly a distance 2S and finally comes
to rest after moving further 5S under uniform retardation. The ratio
of average velocity to maximum velocity is
1) 2
5 2)
3
5 3)
4
7 4)
5
7
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. In a car race, car A takes a time of t sec, less than car B and passes
the finishing point with a velocity v more than the velocity with
which car B passes the point. Assuming that the both cars start
from rest and travel with constant accelerations a1 and a2
respectively then v
t is
1) 1 2a a 2) 1 22 a a 3) 1 2a a+ 4) 1 22 a a+
05. A bullet travelling horizontally losses or loses 1
20th of its velocity
while piercing a wooden plank. How many such planks are required
to stop the bullet. (Approximately)
1) 6 (5.3) 2) 9 (8.2) 3) 11 (10.25) 4) 21 (20.2)
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06. A ball is thrown vertically upwards from the ground. It crosses a
point at the height of 25m twice at an interval of 4s. The ball was
thrown with the velocity of ( g = 10 m/s 2)
1) 20 m/s 2) 25 m/s 3) 30 m/s 4) 35 m/s
07. A body starts from rest and then moves with uniform acceleration.
Then choose correct options
A) Its displacement is directly proportional to the square of the
time
B) Its displacement is inversely proportional to the square of the
time
C) It may move along a circle
D) It always moves in a straight line
1) AD 2) AB 3) AC 4) CD
08. Pick the correct statements:
A) Average speed of a particle in a given time is never less than
the magnitude of the average velocity.
B) It is possible to have a situation in which 0dv
dt but
0=dv
dt
C) The average velocity of a particle is zero in a time interval. It
is possible that the instantaneous velocity is never zero in the
interval
D) The average velocity of a particle moving on a straight line is
zero in a time interval. It is possible that the instantaneous
velocity is never zero in the interval. (Infinite accelerations are
not allowed)
1) ACD 2) ABC 3) BCD 4) AD
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09. The displacement-time graph of two bodies A and B is shown in
figure. The ratio of velocity A, vA to velocity of B, vB is
1) 1
3 2) 3 3)
1
3 4) 3
10. The velocity – time graph of a body moving in a straight line is
shown. The displacement of the body in 10s is
1) 4 m 2) 6 m 3) 8 m 4) 10 m
11. The variation of velocity of a particle moving along a straight line is
shown in figure. The distance travelled by the particle in 12s is
1) 37.5 m 2) 32.5 m 3) 35.0 m 4) 30m
12. An object is thrown vertically up. The velocity – time graph for the
motion of the particle will be
1)
2)
3)
4)
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13. A ball is dropped from some height. After rebounding from the floor
it ascends to the same height. Draw the velocity – time graph for
the given motion.
1)
2)
3)
4)
14. The velocity-time graph of a body moving in a straight line is shown
in the figure. The displacement and distance travelled by the body
in 6s are, respectively
1) 8m, 16m 2) 16m, 8m 3) 16m, 16m 4) 8m, 8m
15. Study the following graphs?
The particle has negative acceleration in which graph given above
(which of the graphs given above)
1) (i) 2) (ii) 3) (iii) 4) (iv)
16. The distance-time of a moving motor-car is according to the
following figure. The portion OA of the curve shows:
1) Accelerated motion 2) Retarted motion
3) Uniform motion 4) State of rest
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17. An elevator is going up. The variation in the velocity of the elevator
is as given in the graph. What is the height to which the elevator
takes the passengers?
1) 3.6m 2) 28.8 m 3) 36 m 4) 72 m
18. Figure shows the displacement-time graph of a particle moving on
the X-axis.
1) The particle is continuously going in positive X direction
2) The particle is at rest
3) The velocity increases up to a time 0t and then becomes constant
4) The particle moves at constant velocity up to a time 0t and then
stops
19. The velocity-time graph of a stone thrown vertically upward with an
initial velocity of 30 1ms− is shown in the figure. The velocity in the
upward direction is taken as positive and that in the downwards
direction as negative. What is the maximum height to which the
stone rises?
1) 30 m 2) 45 m 3) 60 m 4) 90 m
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20. A ball is dropped vertically from a height d above the ground. It
hits the ground and bounces up vertically to a height2
d. Neglecting
subsequent motion and air resistance, its velocity v varies with
height h above the ground as:
1) 2)
3) 4)
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 variation of velocity of particle moving along a straight line is
shown in the figure. The distance travelled by the particle in 4s
is____________ m.
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22. A car accelerates from rest at a constant rate of 22 ms− for some
time. Then it retards at a constant rate of 24 ms− and comes to rest.
It remains in motion for 6s.Its maximum speed is ___________m/s.
23. A car accelerates from rest at a constant rate of 22 ms− for some
time. Then it retards at a constant rate of 24 ms− and comes to rest.
It remains in motion for 6s.It travelled at total distance of
___________ m.
24. A particle starts from rest with a constant acceleration. At a time t
second, the speed is found to be 100 m/sec and one second later
the speed becomes 150 m/sec. The acceleration during the ( )1th
t +
second is _____________ 2/ .m s
25. An athelete takes 2sec to reach his maximum speed of 18 km/hr.
The magnitude of his average acceleration is ____________ 2/ .m s
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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. The energy of 2Pz molecular orbital is higher than that of
1) 2Px 2)
2Py
3) *
2Pz 4) Both 1 & 2
27. One half the difference between the number of electrons present in
the bonding and the anti-bonding orbitals is called
1) Bond order 2) Bond energy 3) Bond angle 4) All
28. Bond order of 2H molecule is
1) 1.5 2) 2 3) 1 4) 3
29. The bond dissociation energy of hydrogen molecule has been found
to be
1) 238 1 kJ mol− 2) 338
1 kJ mol−
3) 4381 kJ mol− 4) All
30. The bond order of 2O+ is
1) 1 2) 1.5 3) 2.5 4) 3
31. If the bond order value is 2 the nature of the bond is
1) Single bond 2) Double bonds 3) Triple bonds 4) All
32. Which of the following has paramagnetic nature
1) 2O 2) 2C 3) 2N 4) 2
2O −
33. Of the following molecule dipole moment value is not equal to zero
is
1) 2CO 2) 2H 3) 4CCl 4) HF
34. The dipole moment value is zero and geometry is trigonal planar.
The molecule is
1) 3BF 2) 3NF 3) 3NH 4) All
SZ3 _JEE-MAIN_WTM-08_QP_Dt.26-07-2020
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35. Molecular orbital electronic configuration of 2He is
1) ( ) ( )2 2
1 2S S 2) ( ) ( )22 *
1 1S S
3) ( )2
1S 4) ( ) ( )22 *
1 2S S
36. The bond length of C C− and C H− in ethane molecule is (in Pm)
1) 154, 109 2) 154, 154
3) 109, 109 4) 109, 154
37. Which of the following molecule has bent shape
1) 3NH 2) 2H O
3) 2SO 4) Both 2 & 3
38. Molecular geometry is linear of the following is/are
1) 2BeCl 2) 2HgCl
3) 4CH 4) Both 1 & 2
39. Coordinate covalent compounds dissolve more in
1) Polar solvents 2) Non-polar solvents
3) Both 1 & 2 4) Water only
40. Hybridization of 5PF molecule is
1) 2dsp 2)
3 2sp d 3) 3sp d 4)
3 3sp d
41. The overlapping is involved in HCl molecule
1) s s− 2) p p− 3) s d− 4) s p−
42. -bond is formed by the overlapping of
1) p p− orbitals along their axis
2) s p− orbitals along the axis of p-orbital
3) p p− orbitals perpendicular to their axis
4) s s− orbitals
43. Shape of 6SF molecule is
1) Square pyramidal 2) Square planar
3) Octahedral 4) Trigonal bipyramidal
44. Molecule which contains 4 bond pairs and 2 lone pairs of electrons
on the central atom is
1) 2XeF 2) 2CO 3) 4XeF 4) 6SF
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45. 3BCl molecule is planar while 3NCl molecule is pyramidal because
1) 3BCl does not have lone pair on B but 3NCL has one lone pair on
N.
2) B Cl− bond is more polar than N Cl− bond
3) N atom is smaller than B
4) N Cl− bond is more covalent than B Cl− bond
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. The species having pyramidal shape is/are
2 3 2 3, , ,SO BrF OSF NH
47. Total number of species which have their fractional bond order
i) 2O + ; ii) CO ; iii) 2B ; iv) 2O − ; v) NO+ ; vi) 2He+ ; vii) 2
2C + ; viii) CN − ;
ix) 2N −
48. The hybridization of central atoms of compounds , ,A B C and D are
3 3 2, ,sp d sp sp and sp respectively. If compounds A and D have the
same shape like 3I − and compounds B and C have the same shape
like water molecule. Then calculate value of P Q R S+ + + where
, ,P Q R and S are number of lone pairs on central atoms of
compounds , ,A B C and D respectively
49. How many of the following have 3sp d hybridization
i) 4SF ii) 3BrCl iii) 2XeOF iv) 3H O+
50. How many of following statement(s) is/are correct?
i) Bond length of NO NO+ ii) Bond order of NO NO+
iii) Bond energy of NO NO+
iv) NO is paramagnetic but NO+ is diamagnetic
SZ3 _JEE-MAIN_WTM-08_QP_Dt.26-07-2020
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SECTION-I (51 TO 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. The coordinates of a point A, where AB is the diameter of circle
whose centre is ( )2, 3− and B is ( )1,4 is
1) ( )3,0 2) ( )3, 10− 3) ( )3, 10− − 4) ( )3,10−
52. If the distance between the points ( )0cos48 ,0a and ( )00, cos12a is ,d
then 2 2d a− =
1)
2
2 5 1
4a −
2) 2 5 1
4a +
3) 2 5 1
8a −
4) 2 5 1
8a +
53. The three points ( ) ( )2, 4 , 4, 2− − and ( )7,1
1) are collinear
2) form an equilateral triangle
3) form a right angled triangle
4) form an isosceles triangle
54. If ( ) ( ) ( )5,3 , 11, 5 , 12,A B P= = − = and 090 ,APB = then =
1) 2 or 3 2) 3 or 4 3) 2 or –4 4) 3 or – 2
55. The midpoint of a line segment is ( )4, 2− − . If ( )6,4− is one end, then
the other end of line segment is
1) ( )2,8 2) ( )2,8− 3) ( )2, 8− 4) ( )2, 8− −
56. The fourth vertex of the rectangle whose other vertices are
( ) ( ) ( )4,1 , 7,4 , 13, 2− taken in order is
1) ( )10, 5− 2) ( )10,5 3) ( )10,5− 3) ( )10, 5− −
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57. ( ) ( ) ( )2,2 , 6,3 , 4,1A B C= = = are the vertices of triangle. If D,E are the
mid points of BC,CA respectively, then DE =
1) 17 2) 1
172
3) 2 17 4) 3 17
58. Area of the regular hexagon whose diagonal is the join of ( )2, 4 and
( )6,7 is
1) 75 3
8 2)
75 3
16 3)
25 3
16 4)
6 3
5
59. If the area of the triangle formed by the points ( ) ( ) ( )1,2 , 2,3 , ,4x is 40
sq.units, then x is
1) 1
, 22
2) 2
2,3
3) 77,83− 4) 1
, 12−
60. The area of a quadrilateral formed by the points ( ) ( ) ( )1,2 , 2, 3 , 2,4− −
and ( )0,5 is (in sq.units)
1) 10 2) 15 3) 18 4) 20
61. Two vertices of a triangle are ( )1,4− and ( )5, 2 . If its centroid is
( )0, 3− , then its third vertex is
1) ( )4,15 2) ( )4,15− 3) ( )4, 15− 4) ( )4, 15− −
62. In ( ), 5,6ABC A and its centroid is ( )2,3 , then mid point of the side
BC is
1) 1 3
,2 2
2) 3 3
,2 4
3) 3 1
,2 2
4) 3 1
,4 2
63. If the mid points of the sides BC, CA, AB of a triangle ABC are
( ) ( ) ( )1,3 , 2,4 , 2, 5− − − respectively then the length of the median
through vertex A is
1) 5 5 2) 53 3) 338 4) 5 2
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64. If the vertices of a triangle are ( ) ( ) ( )0,0 , 3,3 , 3,3− then the incentre
is
1) ( )0, 2 2) ( )2,0 3) ( )1,1 4) ( )1,2
65. The orthocentre of the triangle whose vertices are 1 1 1
2, , ,2 2 2
− −
and 3 1
2,2
−
is
1) 1 1
,2 2
−
2)
1, 2
2
−
3) 1
2,2
−
4)
3 12,
2
−
66. The circumcentre of the triangle formed by the points
( ) ( ) ( )2, 5 , 2,7 , 4,7− is
1) ( )3,1 2) ( )2, 9− 3) ( )4, 1− 4) 3 5
.2 2
67. If the mid points of the sides of a triangle are 1 1
,0 , 0,2 2
and 1 1
,2 2
, then its circum centre is
1) ( )1,1 2) 1
1,2
3) 1
,12
4) 1 1
,2 2
68. The vertices of a triangle are ( ) ( )6,6 , 0,6 and ( )6,0 . The distance
between its circumcentre and centroid is
1) 2 2 2) 2 3) 2 4) 1
69. If A and B are ( )2, 2− − and ( )2, 4− respectively, then the coordinates
of P such that 3
7AP AB= and P lies on the line AB is
1) 2 20
,7 7
− −
2) 2 20
,7 7
−
3)
2 20,
7 7
−
4) 2 20
,7 7
− −
70. If ( ) ( ) ( )21, , 2, , , 3a b c − are vertices of a triangle then the condition for
its centroid to lie on x-axis is
1) 3 2 1a b+ = 2) 3a b+ =
3) 3ab = 4) 2 3 7a b+ =
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SECTION-II (71 TO 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. If the mid points of the sides AB and AC of a triangle ABC are
( ) ( )3,5 , 3, 3− − , then the length of the side BC is
72. If the sides if ABC are 5,7,8 units, then 2 2 2AG BG CG+ + is equal
to (G = Centriod)
73. If the centroid and two vertices of a triangle are ( ) ( ) ( )4, 8 , 9,7 , 1,4− −
respectively. Then the area of the triangle ( in sq.units) is
74. If ( ) ( ) ( ) ( )1,2 , 4,6 , 5,7 , ,P Q R S a b are vertices of a parallelogram PQRS,
then 7 2a b+ is equal to
75. The area of the pentagon where vertices are ( ) ( ) ( ) ( )4,1 , 3,6 , 5,1 , 3, 3− − −
and ( )3,0− is (in sq.units)
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