1. Question 1 of 100

   When adding or subtracting measured quantities, the result should be rounded to:

   A The largest number of decimal places among the quantities B The smallest number of decimal places among the quantities C The average number of decimal places D Six significant figures always
2. Question 2 of 100

   The dimensional formula of angular velocity (ω) is:

   A [T⁻¹] B [LT⁻¹] C [T] D [L⁻¹T]
3. Question 3 of 100

   Dimensional analysis fails to distinguish between physical quantities that have the:

   A Same units but different formulas B Same dimensions but different physical meanings (e.g., work and torque) C Different dimensions entirely D Different base quantities
4. Question 4 of 100

   How many significant figures are in 2500 m, with no decimal point shown?

   A 2 B 3 C 4 D Ambiguous without further notation
5. Question 5 of 100

   A cube has a measured side of (2.00 ± 0.02) cm. The percentage error in its volume is approximately:

   A 1% B 2% C 3% D 6%
6. Question 6 of 100

   If the radius r of a sphere is measured with a 2% error, the percentage error in its volume (V ∝ r³) is:

   A 2% B 4% C 6% D 8%
7. Question 7 of 100

   The main scale of a vernier caliper is usually graduated in:

   A Inches only B Millimetres (and centimetres) C Degrees D Microns
8. Question 8 of 100

   Which instrument is most appropriate for accurately measuring the thickness of a sheet of paper?

   A Metre rule B Vernier caliper C Screw gauge D Measuring tape
9. Question 9 of 100

   To most precisely measure the diameter of a small ball bearing, the best instrument is:

   A A metre rule B A vernier caliper C A screw gauge D A measuring tape
10. Question 10 of 100

    The order of magnitude of the number 6,300,000 is:

    A 10⁵ B 10⁶ C 10⁷ D 10⁴
11. Question 11 of 100

    What is the SI unit of mass?

    A Gram B Kilogram C Pound D Tonne
12. Question 12 of 100

    Which of the following is a scalar quantity?

    A Acceleration B Momentum C Energy D Weight
13. Question 13 of 100

    A systematic error in measurement:

    A Varies randomly with each reading B Consistently affects results in the same direction C Cannot be corrected D Only occurs in digital instruments
14. Question 14 of 100

    For Q = A²B/C, with absolute errors ΔA, ΔB, ΔC, the maximum fractional error in Q is given by:

    A ΔA/A + ΔB/B + ΔC/C B 2ΔA/A + ΔB/B + ΔC/C C 2ΔA/A + ΔB/B − ΔC/C D ΔA/A − ΔB/B + ΔC/C
15. Question 15 of 100

    Random errors in measurement can best be reduced by:

    A Taking a single very careful reading B Taking multiple readings and averaging them C Using an uncalibrated instrument D Ignoring the smallest readings
16. Question 16 of 100

    The least count of an instrument is defined as:

    A The largest measurement it can take B The smallest measurement it can accurately read C The average of its readings D Its total range
17. Question 17 of 100

    Using dimensional analysis, which relation for the time period T of a simple pendulum (depending on length L and gravity g) is dimensionally consistent?

    A T ∝ √(L/g) B T ∝ √(mL/g) C T ∝ mL/g D T ∝ √(m/g)
18. Question 18 of 100

    A measurement reported as (5.00 ± 0.25) m has a percentage uncertainty of:

    A 2.5% B 5% C 0.5% D 25%
19. Question 19 of 100

    The resultant of two vectors is minimum (equal to their difference) when the angle between them is:

    A 0° B 90° C 180° D 45°
20. Question 20 of 100

    A parallax error in reading an instrument scale arises due to:

    A Incorrect calibration of the instrument B The eye not being positioned perpendicular to the scale C Temperature changes D Electrical interference
21. Question 21 of 100

    The dimensional formula of density is:

    A [ML⁻³] B [ML³] C [ML⁻²] D [M⁻¹L³]
22. Question 22 of 100

    A metre rule typically has a least count of:

    A 1 mm B 1 cm C 0.1 mm D 1 m
23. Question 23 of 100

    The SI prefix 'giga' represents a factor of:

    A 10⁶ B 10⁹ C 10¹² D 10³
24. Question 24 of 100

    A travelling microscope is typically used to measure:

    A Very small lengths with high precision, such as fringe spacing B Electric current C Mass of an object D Temperature
25. Question 25 of 100

    The dimensional formula of momentum is:

    A [MLT⁻¹] B [MLT⁻²] C [ML²T⁻¹] D [ML⁻¹T⁻¹]
26. Question 26 of 100

    The dimensional formula of velocity is:

    A [LT] B [LT⁻¹] C [LT⁻²] D [L⁻¹T]
27. Question 27 of 100

    The vernier scale works on the principle that:

    A A certain number of vernier divisions equal one less main scale division B It magnifies the object being measured C It uses a laser to measure distance D It measures only angles
28. Question 28 of 100

    Zero error in a measuring instrument is an example of a:

    A Random error B Systematic error C Gross error D Rounding error
29. Question 29 of 100

    What is the SI unit of thermodynamic temperature?

    A Celsius B Fahrenheit C Kelvin D Rankine
30. Question 30 of 100

    Scientific notation is useful for significant figures because it:

    A Increases the number of significant figures B Removes ambiguity about which digits are significant, especially trailing zeros C Changes the actual measured value D Is only used for very small numbers
31. Question 31 of 100

    The number of significant figures in a calculated result cannot exceed the number of significant figures in the:

    A Most precise measurement used B Least precise measurement used C Final answer only D First measurement listed
32. Question 32 of 100

    When two measured quantities are added, the absolute uncertainties:

    A Are subtracted B Are added C Are multiplied D Cancel out
33. Question 33 of 100

    Zero error in a screw gauge occurs when:

    A The main scale and circular scale zero marks do not coincide when the jaws are closed B The instrument is new C The object is measured incorrectly D The screw is loose
34. Question 34 of 100

    The SI unit of power (watt) is equivalent to:

    A J/s B J·s C N/s D N·s
35. Question 35 of 100

    1 micrometre (µm) is equal to:

    A 10⁻³ m B 10⁻⁶ m C 10⁻⁹ m D 10⁻² m
36. Question 36 of 100

    Distance and displacement differ in that:

    A Distance is a vector and displacement is a scalar B Distance is a scalar (path length) and displacement is a vector (shortest path with direction) C They are always equal D Both are scalars
37. Question 37 of 100

    Which represents the correct scientific notation of 0.000067?

    A 6.7 × 10⁻⁵ B 6.7 × 10⁵ C 67 × 10⁻⁶ D 0.67 × 10⁻⁴
38. Question 38 of 100

    Two vectors can be added using:

    A Simple arithmetic addition only B The triangle or parallelogram law of vector addition C Multiplication only D They cannot be added
39. Question 39 of 100

    The SI unit of force, the newton, is dimensionally equivalent to:

    A kg·m/s B kg·m/s² C kg·m²/s D kg/(m·s²)
40. Question 40 of 100

    The 'pitch' of a screw gauge is defined as:

    A The distance moved by the spindle in one complete rotation B The smallest reading on the main scale C The number of divisions on the circular scale D The diameter of the screw
41. Question 41 of 100

    How many significant figures are in 3.1400?

    A 2 B 3 C 5 D 6
42. Question 42 of 100

    How many fundamental (base) quantities are there in the SI system?

    A 5 B 6 C 7 D 8
43. Question 43 of 100

    When two measured quantities are multiplied, the result's uncertainty is best expressed by combining their:

    A Absolute errors B Fractional (relative) errors C Percentage of the smaller value only D Average values
44. Question 44 of 100

    A measurement reported as 12.0 cm (instead of 12 cm) implies:

    A Lower precision B Higher precision, measured to the nearest 0.1 cm C No difference in precision D An error in measurement
45. Question 45 of 100

    Zeros between two non-zero digits (e.g., in 105) are:

    A Never significant B Always significant C Significant only in decimals D Significant only in whole numbers
46. Question 46 of 100

    A vernier caliper is best suited for measuring:

    A The diameter of a very thin wire B Internal and external dimensions and depths of objects C Angles between two surfaces D Electric current
47. Question 47 of 100

    The number 45000 expressed in scientific notation is:

    A 4.5 × 10³ B 4.5 × 10⁴ C 45 × 10³ D 0.45 × 10⁵
48. Question 48 of 100

    The resultant of two vectors is maximum when the angle between them is:

    A 0° B 90° C 180° D 45°
49. Question 49 of 100

    Which physical quantity is dimensionless (has dimensions [M⁰L⁰T⁰])?

    A Velocity B Strain C Force D Momentum
50. Question 50 of 100

    Precision refers to:

    A How close a measurement is to the true value B How close repeated measurements are to each other C The least count of the instrument only D The accuracy of the calibration
51. Question 51 of 100

    In an experiment, length L = (10.0 ± 0.1) cm. The percentage error in L is:

    A 0.1% B 1% C 10% D 0.01%
52. Question 52 of 100

    A vector quantity is one that has:

    A Only magnitude B Magnitude and direction C Only units D No physical meaning
53. Question 53 of 100

    Speed and velocity differ in that:

    A Speed is a vector and velocity is a scalar B Speed is a scalar and velocity is a vector C They are identical in all respects D Velocity has no units
54. Question 54 of 100

    The dimensional formula of power is:

    A [ML²T⁻²] B [ML²T⁻³] C [MLT⁻³] D [ML²T⁻¹]
55. Question 55 of 100

    What is the SI unit of length?

    A Metre B Foot C Inch D Yard
56. Question 56 of 100

    Which of the following is NOT an SI base unit?

    A Kelvin B Candela C Newton D Mole
57. Question 57 of 100

    Which equation is dimensionally consistent for the period T of a simple pendulum of length L in gravity g?

    A T = 2π√(L/g) B T = 2π√(g/L) C T = 2π(L/g) D T = 2π√(Lg)
58. Question 58 of 100

    What is the SI unit of amount of substance?

    A Mole B Gram C Litre D Molecule
59. Question 59 of 100

    A scalar quantity is one that has:

    A Magnitude and direction B Only magnitude C Only direction D Neither magnitude nor direction
60. Question 60 of 100

    Rounding 7.346 to 3 significant figures gives:

    A 7.34 B 7.35 C 7.3 D 7.346
61. Question 61 of 100

    1 kilometre is equal to how many metres?

    A 10 B 100 C 1000 D 10000
62. Question 62 of 100

    Calibrating an instrument against a known standard primarily helps reduce:

    A Random errors B Systematic errors C Human error only D Rounding error
63. Question 63 of 100

    The dimensional formula of force is:

    A [MLT⁻¹] B [MLT⁻²] C [ML²T⁻²] D [ML⁻¹T⁻²]
64. Question 64 of 100

    Dimensional analysis can be used to:

    A Determine the exact numerical constant in an equation B Check the homogeneity/consistency of a physical equation C Measure the mass of an object D Determine the direction of a vector
65. Question 65 of 100

    The SI prefix 'nano' represents a factor of:

    A 10⁻⁶ B 10⁻⁹ C 10⁻¹² D 10⁹
66. Question 66 of 100

    What is the SI unit of electric current?

    A Volt B Ampere C Ohm D Watt
67. Question 67 of 100

    1 nanometre is equal to how many metres?

    A 10⁻⁷ m B 10⁻⁸ m C 10⁻⁹ m D 10⁻¹⁰ m
68. Question 68 of 100

    Gross errors in measurement are typically caused by:

    A Instrument limitations B Human carelessness or mistakes in reading/recording C Environmental fluctuations D Rounding of digits
69. Question 69 of 100

    The SI prefix 'kilo' represents a factor of:

    A 10² B 10³ C 10⁻³ D 10⁶
70. Question 70 of 100

    The dimensional formula of acceleration is:

    A [LT⁻¹] B [LT⁻²] C [L²T⁻²] D [LT²]
71. Question 71 of 100

    If force F depends on mass m and acceleration a as F = k·mˣ·aʸ, dimensional analysis gives x and y as:

    A x=1, y=1 B x=2, y=1 C x=1, y=2 D x=2, y=2
72. Question 72 of 100

    Percentage error is calculated as:

    A Absolute error / True value B (Absolute error / True value) × 100 C True value − Measured value D Measured value / Absolute error
73. Question 73 of 100

    The least count of a standard vernier caliper is typically:

    A 0.1 mm B 0.01 mm C 1 mm D 0.5 mm
74. Question 74 of 100

    Which of the following is a vector quantity?

    A Mass B Time C Displacement D Temperature
75. Question 75 of 100

    Which of the following is a derived unit?

    A Metre B Kilogram C Newton D Second
76. Question 76 of 100

    The SI unit of energy (joule) is equivalent to:

    A N/m B N·m C N·s D kg·m/s
77. Question 77 of 100

    If x = a ± Δa is used to compute x², the uncertainty in x² is approximately:

    A Δa B 2(Δa/a)·a² C (Δa)² D Independent of Δa
78. Question 78 of 100

    Accuracy refers to how close a measured value is to the:

    A Mean of repeated measurements B True or accepted value C Smallest division of the instrument D Previous measurement
79. Question 79 of 100

    If a screw gauge has a least count of 0.01 mm and 50 divisions on the circular scale, the pitch is:

    A 0.1 mm B 0.5 mm C 0.05 mm D 5 mm
80. Question 80 of 100

    A positive zero error in a screw gauge means the actual reading should be:

    A Added to the observed reading B Subtracted from the observed reading C Ignored D Multiplied by two
81. Question 81 of 100

    The SI unit of pressure (pascal) is equivalent to:

    A N/m B N/m² C N·m D N·m²
82. Question 82 of 100

    When multiplying or dividing measured quantities, the result should be rounded to:

    A The largest number of significant figures involved B The smallest number of significant figures involved C One significant figure always D The number of significant figures in the first quantity
83. Question 83 of 100

    What is the SI unit of luminous intensity?

    A Lux B Lumen C Candela D Watt
84. Question 84 of 100

    Which dimensions correctly represent the gravitational constant G, from F = Gm₁m₂/r²?

    A [M⁻¹L³T⁻²] B [ML³T⁻²] C [M⁻¹L³T²] D [MLT⁻²]
85. Question 85 of 100

    The SI prefix 'milli' represents a factor of:

    A 10³ B 10⁻³ C 10⁶ D 10⁻⁶
86. Question 86 of 100

    Leading zeros in a number such as 0.0032 are:

    A Always significant B Never significant C Significant only if followed by a decimal D Significant only in SI units
87. Question 87 of 100

    Which of the following is a scalar quantity?

    A Displacement B Velocity C Mass D Force
88. Question 88 of 100

    The dimensional formula of work/energy is:

    A [MLT⁻¹] B [MLT⁻²] C [ML²T⁻²] D [ML²T⁻¹]
89. Question 89 of 100

    A limitation of dimensional analysis is that it cannot determine:

    A The base quantities involved B Dimensionless constants in a formula C Whether units match D The dependence on fundamental quantities
90. Question 90 of 100

    A digital stopwatch's precision is generally limited to about:

    A 0.01 s B 1 s C 1 minute D 0.1 s
91. Question 91 of 100

    A micrometer screw gauge typically has a least count of:

    A 0.1 mm B 0.01 mm C 0.001 mm D 1 mm
92. Question 92 of 100

    In a single measurement taken with an instrument, the uncertainty is generally taken to be:

    A Twice the least count B Equal to the least count of the instrument C Equal to the average of several readings D Independent of the least count
93. Question 93 of 100

    The SI prefix 'micro' (µ) represents a factor of:

    A 10⁻³ B 10⁻⁶ C 10⁻⁹ D 10⁶
94. Question 94 of 100

    How many significant figures are there in the number 0.00405?

    A 2 B 3 C 4 D 5
95. Question 95 of 100

    The dimensional formula [ML²T⁻²] represents which two physical quantities?

    A Force and power B Work and torque C Pressure and stress D Velocity and acceleration
96. Question 96 of 100

    A spherometer is primarily used to measure:

    A The radius of curvature of a spherical surface B Electric resistance C The mass of liquids D Angles
97. Question 97 of 100

    The dimensional formula of pressure is:

    A [ML⁻¹T⁻²] B [MLT⁻²] C [ML²T⁻²] D [ML⁻²T⁻²]
98. Question 98 of 100

    Two physical quantities can only be added or subtracted if they have:

    A The same numerical value B The same dimensions C The same SI prefix D The same direction
99. Question 99 of 100

    Which of these numbers has exactly 4 significant figures?

    A 0.0012 B 1200 C 1.200 D 12
100. Question 100 of 100

     What is the SI unit of time?

     A Minute B Hour C Second D Day

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