Class: SZ2-A JEE-MAIN MODEL Date: 11-04-2020 Time: 3hrs … · 2020-04-11 · SZ2-A...

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Class: SZ2-A JEE-MAIN MODEL Date: 11-04-2020

Time: 3hrs WTM-04 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




Total 25 100

MATHEMATICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks




Total 25 100

mailto:[email protected]

http://www.narayanagroup.com/

SZ2-A _JEE-MAIN_WTM-04_QP_Dt.11-04-2020

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–:SZ2-A Jee-Main Exam Syllabus (11-04-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Resolution of Vectors, Direction Cosines, Lami's Theorem,

Applications, Worksheet Practice

PREVIOUS WEEK 50%:

Vectors: Introduction to Vector, Types of Vectors, Addition of Vectors

and subtraction of Vectors Parallelogram law of Vector addition,

Triangle law and Poygon law of Vectors, Applications, Worksheet

Practice.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

STOICHIOMETRY: Percentage composition, Molecular formula,

Emperical formula, Numerical calculations based on Chemical

Equations, Problems based on W - W relation, Problems based on

W - V relation, Problems based on V - V relation

PREVIOUS WEEK 50%:

MOLE CONCEPT: Atomic mass, GAM, Molecular mass, GMM,

Avogadro number, Average Atomic weight, GMV, STP, SATP

conditions, Avogram, Loschmidt's Number, Problems based on only

Mole concept.

TOPICS

MATHS

PRESENT WEEK 50%:

SETS: Principle of Inclusion And Exclusions, Related problems,

Relations: Relation, Types, Reflexive, Symmetric, Anti Symmetric

PREVIOUS WEEK 50%:

Sets: Basic Terminology of Sets, Basic Terminology of Sets, Venn-

Euler Diagrams, Problems on n(AÈB), n(AÈBÈC), Related problems.


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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. If C A B= + then

1) C is always greater than A

2) C is always equal to A+B

3) C is never equal to A+B

4) It is possible to have C A and C B

02. If a unit vector is represented by ˆ ˆ ˆ0.5i 0.8j ck+ + , then the value

of c is

1) 1 2) 0.11 3) 0.01 4) 0.39

03. A man travels 1-mile due east, then 5 miles due south, then 2 miles

due east and finally 9 miles due north. His displacement is

1) 3 miles 2) 5 miles

3) 4 miles 4) between 5 and 9 miles

04. Two forces whose magnitude are in the ratio 3:5 give a resultant of

28 N. If the angle of their inclination is 60º, find the magnitude of

each force.

1) 10 N, 12 N 2) 12 N, 15 N

3) 12 N, 20 N 4) 10 N, 20 N

05. Two equal vectors have a resultant equal to either of the two. Find

the angle between them

1) 120º 2) 90º 3) 45º 4) 60º

06. If P Q P Q+ = − , find the angle between P and Q

1) 45º 2) 60º 3) 30º 4) 90º


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07. At what angle should the two forces 2P and 2P act so that the

resultant force is P 10

1) 45º 2) 60º 3) 90º 4) 120º

08. If A 2= and B 4= and angle between them is 60º, then A B−

1) 13 2) 3 3 3) 3 4) 2 3

09. The expression 1 1ˆ ˆi j2 2

+

is a

1) unit vector 2) null vector

3) vector of magnitude 2 4) scalar

10. If P+Q=R and P Q 3= = and R =3, then the angle between P

and Q is

1) 4

2)

6

3)

3

4)

2

11. Six vectors have magnitude and direction as indicated in the figure.

Which of the following statement is true?

1) b+e=f 2) b+c=f 3) d+c=f 4) d+e=f

12. The sum and difference of two perpendicular vectors of equal length

are

1) Perpendicular to each other and of equal length

2) Perpendicular to each other and of different lengths

3) Of equal length and have an obtuse angle between them

4) Of equal length and have an acute angel between them


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13. Find the resultant of three vectors shown in the figure.

1) magnitude is 10 m, direction 1 4tan

3

− =

with x-axis

2) magnitude is 10m, direction 1 4tan

3

− =

with y-axis


4

− =

with x-axis


3

− =

with y-axis

14. A bob of weight 3 N is in equilibrium under the action of two strings

1 and 2 shown in figure. Find the tension forces in the strings.

1) 1 23 , 3F N F N= = 2) 1 22 3 , 3F N F N= =

3) 1 22 3 , 2 3F N F N= = 4) 1 2

3 3,

2 2F N F N= =


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15. A man walks towards east with certain velocity. A car is travelling

along a road which is 30º west of north. While a bus is travelling in

another road which is 60º south of west. Find the angle between

velocity vector of man and car

1) 60º 2) 120º 3) 90º 4) 30º

16. IfA B C= + and the magnitude of A, B and C are 5, 4 and 3 units,

respectively, then angle between A and C is ____

1) 1 3

cos5

−

2) 1 4

cos5

−

3) 1 3

sin4

−

4) 2

17. The x-component of the resultant of several vectors . Then choose

correct options.

A) is equal to the sum of the x-components of the vectors

B) may be smaller than the sum of the magnitudes of the vectors

C) may be greater than the sum of the magnitudes of the vectors

D) may be equal to the sum of the magnitudes of the vectors

1) ABC 2) ABD 3) BCD 4) ACD

18. Find the resultant of the vectors shown in figure.

1) 7 2 cm, 30º with horizontal 2) 7 2 cm, 60º with horizontal

3) 7 2 cm, 45º with horizontal 4) 7 2 cm, 90º with horizontal


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19. The component of a vector is ___________

1) Always less than its magnitude

2) Always greater than its magnitude

3) Always equal to its magnitude

4) Less than (or) equal to its magnitude

20. If 2 3 4 ,A i j k= − + its components in yz plane and zx plane are

respectively ____________

1) 13 and 5 2) 5 and 2 5

3) 2 5 and 3 4) 13 and 29

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. A boy is hanging from a horizontal branch of a tree. The tension in

the arms will be maximum when the angle between the arms is

____________degree.

22. The minimum number of unequal forces in a plane that can keep a

particle is equilibrium is ___________

23. Angle ( in radian) made by the vector 3i j+ with the x-axis is N

.

Then the value of N is ____________

24. The minimum number of non coplanar forces that can keep a

particle in equilibrium is _______________

25. The resultant of two forces 2N and 3N is 19N . The angle between

the force is _____________ degree.


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SECTION-I(26-45)


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. Mass of 1 atom of hydrogen is

1) 231.6735 10 g− 2) 201.6735 10 g−

3) 211.6735 10 g− 4) 241.6735 10 g−

27. Calculate the molecular weight of lead nitrate

207; 14; 16Pb N O= = =

1) 131 amu 2) 231 amu

3) 331 amu 4) 431 amu

28. Calculate the number of molecules in 3.65g HCl gas. Take

Avogadro’s number as 236 10 1; 35.5H Cl = =

1) 236 10 2) 226 10 3) 216 10 4) 206 10

29. A mole represents __________ particles.

1) 236.023 10− 2) 236.023 10

3) 230.602 10 4) 230.602 10−

30. The element taken as a reference in measuring atomic mass

1) C-14 2) C-12 3) C-13 4) C-11

31. Calculate the percentage composition of calcium in calcium

phosphate ( )3 4 2.Ca PO 40; 31; 16Ca P O= = =

1) 38.71 2) 3.87 3) 0.387 4) 387

32. Calculate the weight in grams of 242.8 10 molecules of nitrogen

gas. Take Avogadro’s number as 236 10 . 14N = .

1) 13.67 2) 130.67 3) 1.36 4) 0.136


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33. Calculate the weight in grams of 222 10 molecules of copper

sulphate. Take Avogadro’s number as

236 10 . 64; 32; 16Cu S O = = =

1) 0.53 2) 0.533 3) 5.33 4) 53.3

34. Mole number=

1) . tanWt of subs ce in grams

g molecular weight of substnce−

2) . tan

g molecular weight of substnce

Wt of subs ce in grams

−

3) . tanWt of subs ce in grams g molecular weight of substnce −

4) All of these

35. The number of atoms in 0.1 mole of a triatomic gas is

( )23 16.02 10AN mol −=

1) 231.806 10 2) 221.800 10

3) 226.026 10 4) 233.600 10

36. The empirical formula of Glucose ( )6 12 6C H O is

1) 6 12 6C H O 2) 6 6C H

3) 2CH O 4) 2 4C H O

37. The empirical formula of Benzene ( )6 6C H is

1) 3BH 2) CH 3) 6 12 6C H O 4) 2CH O

38. In a stoichiometric equation, correct statements is/are

1) Number of mole of reactants should be equal to number mole

of products

2) Total number of atoms of a reactants should be equal to total

number of atoms of products

3) The mass of reactants should be equal to mass of the products

at each instant of the reaction

4) Number of moles of reactants should be greater than number

of moles of products


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39. In which case is number of molecules of water maximum?

1) 18 mL of water

2) 0.18 g of water

3) 0.00224 L of water vapours 1 atm and 273K

4) 310 mol− of water

40. A mixture of gases contains 2H and 2O gases in the ratio of

( )1: 4 / .w w What is the molar ratio of the two gases in the mixture?

1) 16:1 2) 2:1 3) 1:4 4) 4:1

41. The number of atoms in 0.1 mol of a triatomic gas is

( )23 16.02 10AN mol−=

1) 226.026 10 2) 231.806 10

3) 233.600 10 4) 221.800 10

42. How many moles of lead(II) chloride will be formed from a reaction

between 6.5 g of PbO and 3.2 g ?HCl

1) 0.029 2) 0.209 3) 0.309 4) 0. 29

43. The total number of valence electrons in 4.2 g of 3N − ion is ( AN is

the Avogadro’s number)

1) 2.1 AN 2) 4.2 AN 3) 1.6 AN 4) 3.2 AN

44. What is the weight of oxygen required for the complete combustion

of 2.8 kg of ethylene? ( )2 4 2 2 23 2 2C H O CO H O+ → +

1) 2.8 kg 2) 6.4 kg 3) 9.6 kg 4) 96 kg

45. The mass of one mole of electron is

1) 289.1 10 g− 2) 0.55mg

3) 249.1 10 g− 4) 126 10 g−


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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. Molecular weight of 4P is

47. The number of sulphur atoms present in calcium hydrogen

sulphate

48. Haemoglobin contains 0.334% of iron by weight. The molecular

weight of haemoglobin is approximately 67200. The number of iron

atoms(Atomic weight of Fe is 56) present in one molecule of

haemoglobin is

49. The oxide of a metal contains 40% of oxygen. The valency of metal

is 2. What is the atomic weight of the metal is _______________

50. An organic substance containing carbon, hydrogen and oxygen

gave the following percentage composition

C = 40.68%, H = 5.085% and O = 54.228%

The vapour density of the compound is 59. Calculate the molecular

formula of the compound is x. In x how many carbon atoms are

there.


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SECTION-I (51-70)


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 number of elements in the set 2: is an integer, 4x x x is

1) 1 2) 4 3) 5 4) 6

52. Number of elements ( )P A has if A =

1) 2 2) 3 3) 1 4) 5

53. If 3,5,7,11,12 , 7,9,11,13A B= = , then A B is

1) 3,5,7,11,13 2) 3,5,7,9,12

3) 3,5,7 4) 3,5,7,9,11,12,13

54. If 3,4,5,6 , 5,6,7,8,10P Q= = , then P Q is

1) 5,6,7 2) 5,6,8 3) 5,6 4) 7,8,10

55. If : is a natural numberA x x= , : is a prime numberB x x= . Then A B

1) A 2) B

3) Set of even number 4) set of odd natural number

56. Which of the following is not a well defined collection of objects?

1) The set of natural number

2) all rivers of India

3) various kinds of triangle

4) five most renowned mathematician of the world

57. The solution set of the equation 2 6 0x x+ − = in roster form is

1) 2, 3− 2) 1, 2− − 3) 1, 2 4) 1, 2−

58. Let 1,2,3,4,5,6 , 2,4,6,8A B= = then A B− is

1) 1,3,5 2) 1,2,3 3) 2,3,5 4) 7,8,9


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59. If A and B are two sets such that ( ) ( )70, 60n A n B= = and

( ) 110n A B = then ( )n A B is

1) 30 2) 40 3) 20 4) 35

60. Which of the following pair of sets are equal?

1) : is letter of word "ALLOY" ; : is letter of word "LOYAL"A x x B x x= =

2) 2, 1,0,1,2 ; 1,2A B= − − =

3) 0 , : 5 and 15A B x x x= =

4) 2: 5 0 ; : 25A x x B x x= − = = =

61. Let 1,2,3,4,5,6A = . Define a relation from A to A by

( ) , | , : 1R x y x y A y x= = + . Then domain of R is

1) 1,2,3,4,5 2) 2,3,4,5,6 3) 1,2,3 4) 4,5,6

62. Let R be a reflexive relation on a set A and I be the identity relation

on set A. Then which one of the following is true?

1) R I 2) I R 3) R I= 4) All of these

63. Let 2,4,6,8A = and ( ) ( ) ( ) ( ) 2,4 , 4,2 , 4,6 , 6,4R = . Then the relation

R on A is

1) Reflexive 2) symmetric

3) transitive 4) Antisymmetric

64. N is the set of natural numbers. The relation R is defined on N N

as ( ) ( ), ,a b R c d a d b c + = + . Then R is

1) reflexive only 2) symmetric only

3) transitive only 4) none

65. Let A be the set of the children in a family and let R be the relation

on A such that x is brother of y. Then the relation R on A is

1) reflexive 2) symmetric

3) transitive 4) Anti symmetric


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66. The Venn diagram given below represents

1) B C 2) A B 3) A B 4) B C

67. Let , , , 1,2A x y z B= = . Then the number of relation from A to B

1) 82 2) 32 3) 42 4) 62

68. In a school there are 20 teachers who teach mathematics or physics

of these, 12 teach mathematics and 4 teach both physics and

mathematics. Then number of teachers who teach physics is

1) 20 2) 12 3) 14 4) 28

69. The venn diagram given below represents

1) A B 2) A C 3) ( )A B C 4) B C

70. Every relation which is symmetric and transitive is also

1) reflexive 2) not reflexive

3) not symmetric 4) not transitive

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 : is a letter in the word "ACKNOWLEDGEMENT"P x x= , then the

cardinality of P is


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72. In a survey of college students, 64 had taken mathematics course,

94 had taken chemistry course, 58 had taken physics course, 28

had taken mathematics and physics, 26 had taken mathematics

and chemistry, 22 had taken chemistry and physics course and 14

had taken all the three courses, Then the number of students who

had taken mathematics only is

73. Let R be a reflexive relation on a finite set having 8 elements and

there be m order pairs in R. Then least value of m can be

74. If the number of relations on a finite set A having ‘n’ elements is

216, then ‘n’ equals

75. Let 1,2,3,4,5 , 3,4,5 , 4,5,6,7A B C= = = then the cardinality of the

set ( )A B C is

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