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[ ii ]

CONTENTS PHYSICS – Chapter-wise Tests 1.

Physical World, Units & Measurements

P-1 – P-4

2.

Motion in a Straight Line

P-5 – P-8

3.

Motion in a Plane

4.

Laws of Motion

P-13 – P-16

5.

Work, Energy and Power

P-17 – P-20

6.

System of Particles and Rotational Motion

P-21 – P-24

7.

Gravitation

P-25 – P-28

8.

Mechanical Properties of Solids

P-29 – P-32

9.

Mechanical Properties of Fluids

P-33 – P-36

10.

Thermal Properties of Matter

P-37 – P-40

11.

Thermodynamics

P-41 – P-44

12.

Kinetic Theory

P-45 – P-48

13.

Oscillations

P-49 – P-52

14.

Waves

P-53 – P-56

15.

Electric Charges and Fields

P-57 – P-60

16.

Electrostatic Potential & Capacitance

P-61 – P-64

17.

Current Electricity

P-65 – P-68

18.

Moving Charges and Magnetism

P-69 – P-72

19.

Magnetism and Matter

P-73 – P-76

20.

Electromagnetic Induction

P-77 – P-80

21.

Alternating Current

P-81 – P-84

22.

Electromagnetic Waves

P-85 – P-88

23.

Ray Optics and Optical Instruments

P-89 – P-92

24.

Wave Optics

P-93 – P-96

25.

Dual Nature of Radiation and Matter

26.

Atoms

P-101 – P-104

27.

Nuclei

P-105 – P-108

28.

Semiconductor Electronics: Materials, Devices and Simple Circuits

P-109 – P-112

29.

Communication System

P-113 – P-116

P-9 – P-12

P-97 – P-100

CHEMISTRY – Chapter-wise Tests 30.

Some Basic Concepts of Chemistry

C-1 – C-4

31.

Structure of Atom

C-5 – C-8

32.

Classification of Elements and Periodicity in Properties

33.

Chemical Bonding and Molecular Structure

C-13 – C-16

34.

States of Matter

C-17 – C-20

35.

Thermodynamics

C-21 – C-24

36.

Equilibrium

C-25 – C-28 [ iii ]

C-9 – C-12

37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59.

Redox Reaction Hydrogen The s – Block Elements The p – Block Elements (Group 13 & 14) Organic Chemistry : Some Basic Principles & Techniques Hydrocarbons Environmental Chemistry The Solid State Solutions Electrochemistry Chemical Kinetics Surface Chemistry General Principles and Processes of Isolation of Elements The p – Block Elements (Group 15, 16, 17 and 18) The d – and f – Block Elements Coordination Compounds Haloalkanes and Haloarenes Alcohols, Phenols and Ethers Aldehydes, Ketones and Carboxylic acids Amines Biomolecules Polymers Chemistry in Everyday Life

C-29 – C-32 C-33 – C-36 C-37 – C-40 C-41 – C-44 C-45 – C-48 C-49 – C-52 C-53 – C-56 C-57 – C-60 C-61 – C-64 C-65 – C-68 C-69 – C-72 C-73 – C-76 C-77 – C-80 C-81 – C-84 C-85 – C-88 C-89 – C-92 C-93 – C-96 C-97 – C-100 C-101 – C-104 C-105 – C-108 C-109 – C-112 C-113 – C-116 C-117 – C-120

MATHEMATICS – Chapter-wise Tests 60. 61.

Sets Relations and Functions

M-1 – M-4 M-5 – M-8

62.

Trigonometric Functions

M-9 – M-12

63.

Principle of Mathematical Induction

M-13 – M-16

64.

Complex Numbers And Quadratic Equations

M-17 – M-20

65.

Linear Inequalities

M-21 – M-24

66.

Permutations and Combinations

M-25 – M-28

67.

Binomial Theorem

M-29 – M-32

68.

Sequences and Series

M-33 – M-36

69.

Straight Lines and Pair of Straight Lines

M-37 – M-40

70.

Conic Sections

M-41 – M-44

71.

Limits and Derivatives

M-45 – M-48

72.

Mathematical Reasoning

M-49 – M-52

73.

Statistics

M-53 – M-56

74.

Probability

M-57 – M-60

75.

Relations and Functions

M-61 – M-64

76.

Inverse Trigonometric Functions

M-65 – M-68

77.

Matrices

M-69 – M-72

78.

Determinants

M-73 – M-76

79.

Continuity and Differentiability

M-77 – M-80 [ iv ]

80.

Applications of Derivatives

M-81 – M-84

81.

Integrals

M-85 – M-88

82.

Applications of Integrals

M-89 – M-92

83.

Differential Equations

84.

Vector Algebra

85.

Three Dimensional Geometry

M-101 – M-104

86.

Probability

M-105 – M-108

87.

Properties of Triangles

M-109 – M-112

M-93 – M-96 M-97 – M-100

PHYSICS – Subject-wise Tests 88.

Full Syllabus Test – 1

PT-1 – PT-4

89.

Full Syllabus Test – 2

PT-5 – PT-8

90.

Full Syllabus Test – 3

PT-9 – PT-12

91.

Full Syllabus Test – 4

PT-13 – PT-16

CHEMISTRY – Subject-wise Tests 92.

Full Syllabus Test – 1

CT-1 – CT-4

93.

Full Syllabus Test – 2

CT-5 – CT-8

94.

Full Syllabus Test – 3

CT-9 – CT-12

95.

Full Syllabus Test – 4

CT-13 – CT-16

MATHEMATICS – Subject-wise Tests 96.

Full Syllabus Test – 1

MT-1 – MT-4

97.

Full Syllabus Test – 2

MT-5 – MT-8

98.

Full Syllabus Test – 3

MT-9 – MT-12

99.

Full Syllabus Test – 4

MT-13 – MT-16

FULL TESTS 100. Full Test – 1

FT-1 – FT-12

101. Full Test – 2

FT-13 – FT-24

HINTS & SOLUTIONS PHYSICS – Chapter-wise Tests

S-P-1 – S-P-96

CHEMISTRY – Chapter-wise Tests

S-C-1 – S-C-64

MATHEMATICS – Chapter-wise Tests

S-M-1 – S-M-112

PHYSICS – Subject-wise Tests

S-PT-1 – S-PT-11

CHEMISTRY – Subject-wise Tests

S-CT-1 – S-CT-8

MATHEMATICS – Subject-wise Tests

S-MT-1 – S-MT-17

FULL TESTS

S-FT-1 – S-FT-20

[v]

101 SP EED TESTS Speed Tes t

Time

Max. Mark s

Cut-off Marks

Qualifying Mark s

1

60

120

45

60

2

60

120

45

60

3

60

120

45

60

4

60

120

40

50

5

60

120

45

60

6

60

120

40

50

7

60

120

45

60

8

60

120

45

60

9

60

120

40

50

10

60

120

45

60

11

60

120

40

50

12

60

120

45

60

13

60

120

40

50

14

60

120

45

60

15

60

120

45

60

16

60

120

45

60

17

60

120

40

50

18

60

120

40

50

19

60

120

45

60

20

60

120

45

60

21

60

120

45

60

22

60

120

45

60

23

60

120

40

50

24

60

120

40

50

25

60

120

40

50

26

60

120

45

60

27

60

120

45

60

28

60

120

45

60

29

60

120

45

60

30

60

120

37

52

31

60

120

37

51

32

60

120

38

55

33

60

120

35

50

34

60

120

38

53

35

60

120

36

52

[ vi ]

Mark s Scored = Correct Ans wers × 1 (0 .25 × Incorrect Ans wers )

S uccess Gap = Qualifying Marks Mark s Scored

101 SP EED TESTS Speed Tes t

Time

Max. Mark s

Cut-off Marks

Qualifying Mark s

36

60

120

35

50

37

60

120

40

60

38

60

120

40

60

39

60

120

37

56

40

60

120

38

52

41

60

120

36

53

42

60

120

35

50

43

60

120

40

60

44

60

120

35

50

45

60

120

35

50

46

60

120

37

53

47

60

120

38

56

48

60

120

40

60

49

60

120

38

56

50

60

120

35

51

51

60

120

38

52

52

60

120

36

54

53

60

120

37

54

54

60

120

36

52

55

60

120

35

51

56

60

120

36

52

57

60

120

37

56

58

60

120

38

57

59

60

120

37

55

60

60

120

40

55

61

60

120

38

50

62

60

120

40

58

63

60

120

40

55

64

60

120

37

55

65

60

120

42

60

66

60

120

36

48

67

60

120

38

55

68

60

120

38

55

69

60

120

38

55

70

60

120

37

50

[ vii ]

Mark s Scored = Correct Ans wers × 1 (0 .25 × Incorrect Ans wers )

S uccess Gap = Qualifying Marks Mark s Scored

101 SP EED TESTS Speed Tes t

Time

Max. Mark s

Cut-off Mark s

Qualifying Mark s

71

60

120

38

50

72

60

120

40

58

73

60

120

38

50

74

60

120

40

55

75

60

120

35

50

76

60

120

38

55

77

60

120

40

55

78

60

120

36

53

79

60

120

41

60

80

60

120

38

53

81

60

120

36

53

82

60

120

35

50

83

60

120

38

55

84

60

120

35

48

85

60

120

35

52

86

60

120

37

54

87

60

120

40

58

88

60

120

45

60

89

60

120

45

60

90

60

120

45

60

91

60

120

45

60

92

60

120

45

60

93

60

120

45

60

94

60

120

45

60

95

60

120

45

60

96

60

120

45

60

97

60

120

45

60

98

60

120

45

60

99

60

120

45

60

100

60

120

125

165

101

60

120

125

165

[ viii ]

Marks S cored = Correct Ans wers × 1 (0.25 × Incorrect Ans wers )

Succes s Gap = Qualifying Marks Mark s Scored

Speed

PHYSICS

TEST

Physical World, Units & Measurements No. of Questions

Maximum Marks

Time

30

120

1 Hour

1

Chapter-wise

GENERAL INSTRUCTIONS • • • • •

1.

This test contains 30 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation.

A and B have different dimensions. Then which of the following relation will be meaningful ? ª Aº (b) [A – B] «B» ¬ ¼ (c) [A + B] (d) [eA/B] N divisions on the main scale of a vernier calliper coincide with (N + 1) divisions of the vernier scale. If each division of main scale is ‘a’ units, then the least count of the instrument is

3.

(a)

2.

(a) a (c)

N ua N 1

RESPONSE GRID

1.

(b)

a N

(d)

a N 1

2.

4.

Young’s modulus of a material has the same unit as (a) pressure (b) strain (c) compressibility (d) force The time period of a body under S.H.M. is represented by: T = Pa Db Sc where P is pressure, D is density and S is surface tension, then values of a, b and c are (a)

3 1  , ,1 2 2

(b)

(c)

1 3 1 , , 2 2 2

(d) 1, 2,

3. Space for Rough Work

4.

1,  2, 3 1 3

P-2 5.

6.

7.

8.

9.

10.

11.

NTA JEE Main

§ a · In the eqn. ¨ P  2 ¸ (V  b) constant, the unit of a is V ¹ © (a) dyne cm5 (b) dyne cm4 (c) dyne/cm3 (d) dyne cm2 The mass and volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05 m3 respectively. Then the maximum possible percentage error in its density is (a) 6% (b) 3% (c) 10% (d) 5% The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be (a) 0.4 unit (b) 40 unit (c) 400 unit (d) 0.04 unit Of the following quantities, which one has dimensions different from the remaining three? (a) Energy per unit volume (b) Force per unit area (c) Product of voltage and charge per unit volume (d) Angular momentum The percentage error in measuring M, L and T are 1%, 1.5% and 3% respectively. Then the percentage error in measuring the physical quantity with dimensions ML–1 T–1 is (a) 1% (b) 3.5% (c) 3% (d) 5.5% The unit of permittivity of free space, Ho is (a) coulomb2/(newton-metre)2 (b) coulomb/newton-metre (c) newton-meter2/coulomb2 (d) coulomb2/newton-metre2 If E, m, J and G represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of EJ2/m5G2 is same as that of the

RESPONSE GRID

12.

13.

14.

15.

16.

(a) angle (b) length (c) mass (d) time The current voltage relation of a diode is given by I = (e1000V/T – 1)mA, where the applied voltage V is in volts and the temperature T is in degree kelvin. If a student makes an error measuring ±0.01 V while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA? (a) 0.2 mA (b) 0.02 mA (c) 0.5 mA (d) 0.05 mA The unit of impulse is the same as that of (a) energy (b) power (c) momentum (d) velocity A student measured the length of a rod as 3.50 cm. Which instrument did he use to measure it? (a) A meter scale (b) A vernier calliper where the 10 divisions in vernier scale matches with 9 divisions in main scale and main scale has 10 divisions in 1 cm (c) A screw gauge having 100 divisions in the circular scale and pitch as 1 mm (d) A screw gauge having 50 divisions in the circular scale and pitch as 1 mm Weber is the unit of (a) magnetic susceptibility (b) intensity of magnetisation (c) magnetic flux (d) magnetic permeability An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimensions of constant of proportionality are (a) [ML–1T–1]

(b) [MLT–1]

(c) [M0LT–1]

(d) [ML0T–1]

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16. Space for Rough Work

Physics

P-3

17. Two full turns of the circular scale of a screw gauge cover a distance of 1mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of –0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is (a) 3.32 mm (b) 3.73 mm (c) 3.67 mm (d) 3.38 mm 18. The SI unit of electric flux is (b) coulomb (a) Cm–2 (c) ampere (d) volt metre 19. If Q denote the charge on the plate of a capacitor of capacitance C then the dimensional formula for [L2M2T]

[LMT2]

17. 22.

18. 23.

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively.

(a) 10%

a 3b 2 % error in P is cd (b) 7%

(c) 4%

(d) 14%

Quantity P is calculated as P =

24.

Q2 is C

(a) (b) 2 –2 (c) [L MT ] (d) [L2M2T2] 20. The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 × 10–3 are (a) 5, 1, 2 (b) 5, 1, 5 (c) 5, 5, 2 (d) 4, 4, 2 21. The dimensions of mobility are (a) M–2 T 2 A (b) M–1 T 2 A (c) M–2 T 3 A (d) M–1 T 3 A 22. The physical quantities not having same dimensions are (a) torque and work (b) momentum and Planck’s constant (c) stress and Young’s modulus (d) speed and (P0H0)–1/2

RESPONSE GRID

23.

25.

26.

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is (a) 0.9%

(b) 2.4%

(c) 3.1%

(d) 4.2%

'V where 0 is the 't permittivity of the free space, L is a length, 'V is a potential difference and 't is a time interval. The dimensional formula for X is the same as that of

A quantity X is given by H 0 L

(a) resistance

(b) charge

(c) voltage

(d) current

ln a simple pendulum experiment, the maximum percentage error in the measurement of length is 2% and that in the observation of the time-period is 3%. Then the maximum percentage error in determination of the acceleration due to gravity g is (a) 5%

(b) 6%

(c) 1%

(d) 8%

19. 24. Space for Rough Work

20. 25.

21. 26.

P-4

NTA JEE Main 29.

1 e2 27. The dimensions of are o hc (a) M–1 L–3 T4 A2

(b) ML3 T–4 A–2

(c) M0 L0 T0 A0 (d) M–1 L–3 T2 A 28. If the capacitance of a nanocapacitor is measured in terms of a unit ‘u’ made by combining the electric charge ‘e’, Bohr radius ‘a0’, Planck’s constant ‘h’ and speed of light ‘c’ then (a)

(c)

u

u

e2 h a0

(b)

e2 c ha 0

(d)

RESPONSE GRID

27.

u

In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half- a degree (= 0.5°), then the least count of the instrument is : (a) half minute (b) one degree (c) half degree (d) one minute 30. A physical quantity of the dimensions of length that can be e2 is [c is velocity of light, G is 4SH0 universal constant of gravitation and e is charge]

formed out of c, G and

hc

1/ 2

e a0

u

(a)

ª e2 º c «G » «¬ 4SH 0 »¼

(c)

1 e2 G c 4SH0

2

e2 a 0 hc

28.

29.

2

1/ 2

(b)

1 ª e2 º « » c 2 «¬ G4 SH0 »¼

(d)

1 ª e2 º G « » c 2 ¬« 4SH 0 ¼»

1/ 2

30.

PHYSICS CHAPTERWISE SPEED TEST-1 Total Questions 30 Total Marks Attempted Correct Incorrect Net Score Cut-off Score 45 Qualifying Score Success Gap = Net Score – Qualifying Score Net Score = (Correct × 4) – (Incorrect × 1) Space for Rough Work

120

60

Speed

PHYSICS

TEST

Motion in a Straight Line No. of Questions

Maximum Marks

Time

30

120

1 Hour

2

Chapter-wise

GENERAL INSTRUCTIONS • • • • •

1.

This test contains 30 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation.

The co-ordinates of a moving particle at any time ‘t’are given by x = Dt3 and y = Et3. The speed of the particle at time ‘t’ is given by (a)

3t D 2  E2

(b)

3t 2 D 2  E2

(c) 3.

(d) D 2  E2 t 2 D 2  E2 A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard’s room passes with velocity v. The middle wagon of the train passes the pole with a velocity (c)

2.

(a)

uv 2

RESPONSE GRID

(b)

1.

(d)

A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation v = t2 – t where t is in seconds and v is in m/s. Find the time interval for which the particle retards. (a) (c)

1 2 u  v2 2

2.

uv

§ u 2  v2 · ¨ ¸ 2 ¹ ©

3. Space for Rough Work

1