Class: SZ3 JEE-MAIN MODEL Date: 25-04-2020 Time: 3hrs …...10.3 Refraction of Light on a plane surface, Critical Angle and total internal reflection, Applications. PREVIOUS WEEK 50%:

$Page 1: Class: SZ3 JEE-MAIN MODEL Date: 25-04-2020 Time: 3hrs …...10.3 Refraction of Light on a plane surface, Critical Angle and total internal reflection, Applications. PREVIOUS WEEK 50%:$
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Class: SZ3 JEE-MAIN MODEL Date: 25-04-2020

Time: 3hrs WTM-05 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

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http://www.narayanagroup.com/

SZ3 _JEE-MAIN_WTM-05_QP_Exam.Dt.25-04-2020

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2

–:SZ3 Jee-Main Exam Syllabus (25-04-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

10.3 Refraction of Light on a plane surface, Critical Angle and total

internal reflection, Applications.

PREVIOUS WEEK 50%:

Light - Reflection and Refraction (X-NCERT): 10.1 Reflection of Light,

10.2 Spherical Mirrors, Applications.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

PERIODIC PROPERTIES: Atomic radius, Ionization Potential, Electron

affinity, Electronegativity, valency, oxidation states,

Electropositivity, Nature of oxides, Oxidising, Reducing nature,

Diagonal relationship.

PREVIOUS WEEK 50%:

Concentration Terms W/W%,Concentration Terms V/V%,Molarity

(M), Molality (m), Mole fraction (X) [Except Normality (N)], PPM,

PPB.

TOPICS

MATHS

PRESENT WEEK 50%:

Laws of Logarithms, Common Logarithms and Natural Logarithms,

Graphs of Logarithmic Functions, Charcterstic and Mantissa of the

Logorithm of a given number, Antilogarithum of number, Related

problems.

PREVIOUS WEEK 50%:

Transitive, Equivalence, Partial Order Relations, Related problems,

Logarithms: Logarithms & Its Properties(Excluding The Concept of

"Functional Approach To Logarithms"), Graph of Logarithm,

Logarithmic Inequalities.


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3

SECTION-I (1 TO 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 convex mirror used for rear view on an automobile has a radius

of curvature 3m. If a bus it located at 5m from this mirror. The size

of the image is ______________

1) 1.15m 2) 1.15m− 3) 2.15m 4) 3.12m−

02. Light enters from air to glass having refractive index 1.50. The

speed of light in the glass is _____________ (Velocity of light in

vacuum is 83 10 /secm )

1) 83 10 /secm 2) 82 10 /secm

3) 81.5 10 /secm 4) none

03. A concave mirror produces three times magnified (enlarged) real

image of an object placed at 10 cm in front of it. The image is

located at a magnitude of distance of ___________________cm in

front of the mirror

1) 30 2) 20 3) 40 4) None

04. An object 5 cm in length is placed at a distance of 20 cm in front of

a convex mirror of radius of curvature 30 cm. The size of the image

( )'h is _______________

1) 2.14cm 2) 3.24cm 3) 1.14cm 4) 5.27m

05. The angle of reflection is equal to the angle of incidence _________

1) always 2) sometimes

3) never 4) None


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4

06. The image of an object formed by a plane mirror is __________

1) Real 2) Virtual

3) Diminished 4) Upside-down

07. A diverging mirror is __________

1) A plane mirror 2) A concave mirror

3) A convex mirror 4) A shaving mirror

08. The focal length of a spherical mirror of radius of curvature 30 cm

is

1) 10 cm 2) 15 cm 3) 20 cm 4) None

09. The image formed by a concave mirror is seen to be virtual, erect

and larger than the object. The position of the object must be ______

1) between the pole of the mirror and its focus

2) between the centre of curvature and focus

3) beyond centre of curvature

4) All of these

10. The angle of incidence for a ray of light passing through the centre

of curvature of a concave mirror is _____________

1) 045 2) 090 3) 00 4) None

11. No matter how far you stand from a mirror, your image appears

erect. The mirror may be ______________

1) plane 2) concave

3) convex 4) either plane or convex

12. The refractive index of water w.r.t air is 4

.3

The refractive index of

air w.r.t water will be ______________

1) 1.75 2) 0.5 3) 0.75 4) None

13. The speed of light in substance X is 81.25 10 / secm and that in air is

83 10 / secm . The refractive index of this substance will be _________

1) 2.4 2) 0.4 3) 3.75 4) None


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14. The refractive indices of four materials A,B,C and D are

1.33,1.43,1.7 and 1.52 respectively. When the light rays pass from

air into these materials, they refract the maximum in __________

1) material A 2) material C

3) material B 4) material D

15. The refractive index of water for light going from air to water will be

1.33. The refractive index for light going from water to air is

1) 0.75 2) 1.33 3) 0.5 4) None

16. The speed of light in a medium of refractive index 6

5 is __________

83 10 / secairV m =

1) 2,50000 km/sec 2) 2,500000 km/sec

3) 2500 km/sec 4) None

17. The ability of a substance to refract light is also represented in

terms of its ______________

1) mass 2) optical density

3) refractive index 4) velocity

18. The refractive indices of four substances P,Q,R and S are 1.50,

1.36, 1.77 and 1.31 respectively. The speed of light is maximum in

the substance is ___________

1) P 2) Q 3) R 4) S

19. A substance having higher refractive index is optically

_________medium.

1) rarer 2) denser

3) both (1) and (2) 4) none


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20. When light is going from vacuum to another medium, then the

value of refractive index is called the ____________ refractive index.

1) Absolute 2) Relative

3) Mean 4) All of these

SECTION-II (21 TO 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. An object 4 cm in size, is placed at 25 cm in front of a concave

mirror of focal length 15 cm. The distance from the mirror should

a screen be placed in order to obtain a sharp image is _______ cm.

22. The radius of curvature of convex mirror is 32cm. Then its focal

length is _________cm.

23. An object 5cm in length is placed at a distance of 20cm Infront of a

convex mirror of radius of curvature 30cm. The image distance is

__________

24. The speed of light in air is 8________ 10 / sec.m

25. A ray of light passes from a medium ( )X to another medium ( )Y .

No refraction of light occurs, if the ray of light hits the boundary of

medium ( )Y at an angle of ____________degree.


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SECTION-I (26 TO 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. The correct sequence of electron affinity of , ,C N O and F is ?

1) 2)

3) 4)

27. The order of decreasing negative electron gain enthalpy of , ,O S Se

is ?

1) 2)

3) 4)

28. The covalent radius of arsenic atom is 01.21A and effective nuclear

charge of 4 p electrons is equal to 6.4.. The electronegativity of

arsenic atom is?

[Arsenic electronic configuration: 2 2 6 2 6 2 10 31 2 2 3 3 4 3 4s s p s p s d p ]

1) 2) 3) 4)

29. Which of the following pair(s) shows Diagonal relationship

1) Li Mg− 2) Be Al− 3) B Si− 4) All of these

30. Which of the following metals forms amphoteric oxide?

1) 2) 3) 4)

31. Regarding electron affinity, the wrong statement is?

1) The E.A of is more than that of




32. ,H H X X− − and H X− bond energies are 104 / ,K cal mole ,

60 / ,K cal mole and 101 / ,K cal mole . Assuming the electronegativity of

hydrogen to be 2.1 the electronegativity of unknown element X is

( )19 4.36 ?=

1) 2) 3) 4)

C N O F C N O F

C N O F C N O F

O S Se S O Se

Se O S S Se O

2.31 2.69 5.19 2.1

Ca Fe Cu Zn

" "Cl " "F

" "S " "P

" "Si " "C

" "Ne " "F

3.5 3 4 2.5


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33. The elements X, Y and Z form oxides which are acidic, basic and

amphoteric respectively. The correct order of their electro negativity

is?

1) 2)

3) 4)

34. The formation of the oxide ion, ( )2 ,O g− from oxygen atom requires

first an exothermic and then an endothermic step as shown below:

( ) ( ) 1; 141fO g e O g H kJ mol− − −+ → = −

( ) ( )2 1; 780fO g e O g H kJ mol− − − −+ → = +

Thus process of formation of 2O − in gas phase is unfavourable even

though 2O − is isoelectronic with neon. It is due to the fact that,

1) Oxygen is more electronegative

2) Addition of electron in oxygen results in larger size of the ion

3) Electron repulsion outweighs the stability gained by achieving

noble gas configuration

4) ion has comparatively smaller size than oxygen atom.

35. Match the High value is observed for in Column–I with Column–II?

Column – I Column – II

A) Ionisation Potential P) Chlorine

B) Electro Positivity Q) Caesium

C) Electro Affinity R) Helium

D) Oxidation State S) Fluorine

T) Osmium

The correct match is

A B C D A B C D

1) S R Q P 2) R Q P T

3) P Q R S 4) Q P S T

36. Which of the following has zero electro negativity?

1) 2) 3) 4)

X Y Z Z Y X

X Z Y Y X Z

O−

Ar Si N F


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37. Electro Negativity is the property related to

1) Isolated atom is gaseous state 2) Isolated atom in solid state

3) Inert Gas 4) Bonded atoms in a molecule

38. 155 ppm urea solution means:

1) 610 mL of water has 155 g urea




39. Molarity is expressed in

1) 1Mole kg− 2) 1g lit − 3) 1mole lit− 4) 1lit mole−

40. When a solute is present in trace quantities, it is convenient to

express the concentration in __________

1) Weight percentage 2) Volume percentage

3) Parts per million 4) Normality

41. The mole fraction of NaCl in a solution containing 1 mole of NaCl

is 1000 g of water is

1) 0.0177 2) 0.001 3) 0.5 4) 0.244

42. The mole fraction of water in 20% aqueous hydrogen peroxide

solution is

1) 0.2 2) 0.8 3) 0.833 4) 0.117

43. If 5.85 gms of NaCl are dissolved in 90 gms of water, the mole

fraction of NaCl is

1) 0.1 2) 0.2 3) 0.3 4) 0.0196


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44. Which of the following modes of expressing concentration is

independent of temperature?

1) Molarity 2) Molality

3) Formality 4) Normality

45. Consider 2.35 moles of sodium chloride are dissolved in 1.21 kg of

solution to make 1.29 liters. Calculate the molarity and molality

with respectively

1) 1.82 and 1.94 2) 1.94 and 1.82

3) 1.98 and 1.56 4) 1.49 and 1.28



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. In the aqueous solution of sulphuric acid the mole fraction of water

0.849. The molality of the solution is ___________m.

47. If 50ml of a liquid solute is dissolved in 500 ml of liquid solvent, then

find its % by volume ( )/ .v v

48. The molarity of a solution containing 5.3 g of anhydrous 2 3Na CO per

litre is __________M.

49. The molarity of 0.006 mole of NaCl in 100 ml solution is

50. 3g of a salt[mol.wt.30] is dissolved in 250g of water the molality of

the solution is


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SECTION-I (51 TO 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. let R be a relation on a set 1,2,3,...,13,14A = defined as

( ) ( ) , : 3 0 .R x y x y= − = Then R is

1) reflexive 2) symmetric

3) transitive 4) Not an equivalence relation

52. If R is a relation on the set of real numbers. Defined as

( ) , : .R a b a b= Then R is


3) not transitive 4) none of these

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

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


3) transitive 4) Anti symmetric

54. The value of 2 25 100 625log 5.log 2.log 25.log 100 is

1) 4 2) 3 3) 1

4 4) 8

55. If 12log 81 ,a= then the value of 3log 24 in terms of a is

1) 4

2

a

a

− 2)

12

2

a

a

− 3)

5 a

a

− 4)

8

2

a

a

−

56. The value of 8

64

log 32

log 8 is

1) 5

6 2)

10

3 3)

6

5 4)

2

5

57. The value of log 625 where ( )( )

5

125 625log

25 = is

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


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58. If 16 25 81

7 log 5log 3log log15 24 80

+ + = . Then the value of 1

2

log is

1) 0 2) 1 3) 2 4) 1−

59. The number of digits in ( )24

81 is (Given 10log 3 0.477= )

1) 44 2) 45

3) 46 4) None of these

60. If a is the characteristic of logarithm of number 0.00005798 and b

is the characteristic of logarithm of number 352.526, then the

value of ( )a b+ is (Given log352.526 2.54= and log 0.00005798 4.23= − )

1) 2− 2) 2

3) 3 4) None of these

61. Characteristic of number 2log log log logy z p xx y z p is

1) 2− 2) 1− 3) 0 4) 1

62. If 10log 32 0.477= and 10log 2 0.301,= then which of the following is

true?

1) ( ) ( )21 48

3 2 2) 21 483 2

3) 21 483 2= 4) None of these

63. The solution set of the logarithmic inequality 2

2 2

4log log 1

3

x x −

is

1) ( ) ( ), 2 7 2 7,− − + 2) ( )2 7, 2 7− +

3) ( ) ( ),0 4,− 4) None of these


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64. Solution set of the logarithmic inequality 3

1 2log 1

1

x

x

+

+ is

1) 1

2,2

−

2) ( ), 2− −

3) ( )2,0− 4) ( )1

, 2 ,2

− − −

65. If 4log 5 a= and 5log 6 b= then 3log 2 is equal to

1) 1

2 1a + 2)

1

2 1b +

3) 2 1ab+ 4) 1

2 1ab −

66. If 4 5. 1a b = then the value of ( )3 4loga a b equals

1) 9

5 2) 4 3) 8 4)

1

5−

67. A relation on a non-empty set is said to be partial order if any only

if it is

1) Reflexive, symmetric and transitive

2) Reflexive, antisymmetric and symmetric

3) Reflexive, antisymmetric and transitive

4) None of these

68. The antilog ( )1.1549− is (given that ( )log 7 0.8451= )

1) 0.17 2) 0.23 3) 0.07 4) 0.32

69. The value of 3

3log

81

is

1) 2

7 2) 10 3) 5 4)

7

2−


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70. If 10log 2 0.301= and 10log 3 0.477= , then the value of 10log 36 is

1) 1.256 2) 1.556

3) 2.566 4) None of these



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 log .log log .log log .log 3b c a c a ba a b b c c+ + = ( Where , ,a b c are different

positive real numbers 1 ) then the value of abc is

72. The value of 5log 6255 is

73. The value of 3 25log 5log 27 is

74. The value of k for which 10log 2.log 625 log 16.log 10e k e=

75. The characteristic of 10 2 3 3log log log log 19683 is (Take 3log 19683 9= )

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Class: SZ3 JEE-MAIN MODEL Date: 25-04-2020 Time: 3hrs …...10.3 Refraction of Light on a plane surface, Critical Angle and total internal reflection, Applications. PREVIOUS WEEK 50%:

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