Physical Quantities and Measurement (Level 3)– 50 Higher-Order Thinking Skills (HOTS) MCQs with Answers

Physical Quantities and Measurement (Level 3)– 50 Higher-Order Thinking Skills (HOTS) MCQs with Answers

50 Higher-Order Thinking Skills (HOTS) MCQs (Level 3) on Physical Quantities and Measurement, Physics (Unit-Wise MCQs Practice):


Whether you are preparing for board examinations, chapter tests, college assessments, or competitive entrance exams (MDCAT, ECAT, NUST, PIEAS, GIKI, UET, FAST, and other engineering or medical admission tests), this comprehensive MCQ collection is designed to help you master Physical Quantities and Measurement. The questions are arranged progressively—from basic concepts to advanced numerical problems and higher-order thinking—ensuring complete and systematic preparation for every type of examination.

This chapter-wise MCQ collection includes:


This MCQ collection covers:

  • Fundamental and derived physical quantities
  • SI units, prefixes, and standard scientific units
  • Measuring instruments and their applications
  • Least count, zero error, accuracy, precision, and uncertainty
  • Significant figures and scientific notation
  • Unit conversions and dimensional analysis
  • Experimental errors and methods for improving measurements
  • Density, pressure, force, work, and power calculations
  • Practical laboratory measurements and instrument selection
  • Real-life applications of physical quantities and measurement

Every MCQ includes the correct answer along with a clear, concept-based explanation to strengthen understanding, improve problem-solving skills, and reinforce key physics concepts.

This question bank helps students to:

  • Build a strong conceptual foundation
  • Master measurement techniques and SI units
  • Improve numerical and analytical problem-solving skills
  • Understand dimensional analysis and experimental errors
  • Avoid common examination mistakes
  • Increase speed, accuracy, and confidence in objective-type questions
  • Prepare effectively for both board examinations and competitive entrance tests

With 250 carefully selected MCQs arranged into 100 Basic, 100 Advanced & Numerical, and 50 HOTS questions, this all-in-one MCQ bank provides complete preparation for Physical Quantities and Measurement. It is an excellent study resource for strengthening concepts, improving exam performance, and achieving success in both school and competitive physics examinations.


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Level-III – 50 Higher-Order Thinking Skills (HOTS) MCQs (MCQs 201–250)


MCQ No. 201

A student measures the diameter of a steel wire using a metre rule, a vernier caliper, and a micrometer screw gauge. Which instrument will most likely provide the most accurate result?

a. Metre rule

b. Vernier caliper

c. Micrometer screw gauge

d. Measuring tape

Correct Answer: c. Micrometer screw gauge

Explanation:
The micrometer screw gauge has the smallest least count (typically 0.01 mm), making it the most suitable instrument for measuring the diameter of thin wires accurately.


MCQ No. 202

A student obtains the readings 10.2 cm, 10.3 cm, 10.1 cm, 10.2 cm, and 10.2 cm. These readings indicate:

a. Poor precision

b. High precision

c. Large systematic error

d. Gross error

Correct Answer: b. High precision

Explanation:
The readings are very close to one another, indicating excellent repeatability and therefore high precision.


MCQ No. 203

A balance consistently reads 0.5 g even when no object is placed on it. This error should be classified as:

a. Random error

b. Gross error

c. Personal error

d. Systematic error

Correct Answer: d. Systematic error

Explanation:
A constant zero error affects every measurement in the same way and is therefore a systematic error.


MCQ No. 204

Which of the following situations would most likely increase the accuracy of an experiment?

a. Taking only one reading

b. Using an instrument with zero error

c. Calibrating the instrument before use

d. Ignoring small errors

Correct Answer: c. Calibrating the instrument before use

Explanation:
Calibration removes or reduces systematic errors and improves the accuracy of measurements.


MCQ No. 205

A physical equation is dimensionally correct but gives incorrect experimental results. This shows that:

a. Dimensional analysis is always wrong.

b. The equation must be physically correct.

c. Dimensional consistency alone does not guarantee physical correctness.

d. The dimensions were calculated incorrectly.

Correct Answer: c. Dimensional consistency alone does not guarantee physical correctness.

Explanation:
Dimensional analysis checks only the consistency of dimensions. It cannot verify numerical constants or the complete physical validity of an equation.


MCQ No. 206

Two students measure the same object. Student A records 25.000 cm, while Student B records 25.0 cm using the same ruler. Which statement is correct?

a. Student A's reading is always better.

b. Student A has reported unrealistic precision.

c. Student B's reading is incorrect.

d. Both readings are equally acceptable regardless of the instrument.

Correct Answer: b. Student A has reported unrealistic precision.

Explanation:
A measurement should not contain more significant figures than the measuring instrument can justify.


MCQ No. 207

Which of the following quantities can be measured most accurately using a vernier caliper?

a. Thickness of a human hair

b. Diameter of a coin

c. Length of a football field

d. Distance between two cities

Correct Answer: b. Diameter of a coin

Explanation:
A vernier caliper is ideal for measuring the external diameter of objects such as coins, cylinders, and pipes.


MCQ No. 208

A student measures the radius of a sphere instead of directly measuring its volume. This is mainly because:

a. Radius is a derived quantity.

b. Volume cannot be calculated.

c. Radius can usually be measured more accurately than volume directly.

d. Radius has no units.

Correct Answer: c. Radius can usually be measured more accurately than volume directly.

Explanation:
Indirect measurement often provides greater accuracy because radius can be measured precisely, and volume is then calculated mathematically.


MCQ No. 209

Which of the following measurements is least reliable?

a. 12.45 cm measured with a vernier caliper

b. 6.32 mm measured with a screw gauge

c. 12.457 cm measured with a metre rule

d. 3.40 cm measured with a vernier caliper

Correct Answer: c. 12.457 cm measured with a metre rule

Explanation:
A metre rule cannot measure to three decimal places in centimetres, making this reading unrealistic.


MCQ No. 210

Which action is least effective in reducing systematic errors?

a. Instrument calibration

b. Correcting zero error

c. Repeating the same measurement many times

d. Using a properly adjusted instrument

Correct Answer: c. Repeating the same measurement many times

Explanation:
Repeated measurements reduce random errors, not systematic errors.


MCQ No. 211

Two equations are proposed:

I. F=maF=ma

II. F=mvF=mv

Which statement is correct?

a. Both are dimensionally correct.

b. Only Equation I is dimensionally correct.

c. Only Equation II is dimensionally correct.

d. Neither equation is dimensionally correct.

Correct Answer: b. Only Equation I is dimensionally correct.

Explanation:
The dimensions of force are [MLT⁻²], whereas mv has dimensions of momentum [MLT⁻¹].


MCQ No. 212

A laboratory replaces a ruler having a least count of 1 mm with one having a least count of 0.5 mm. This primarily improves:

a. Accuracy only

b. Precision

c. Unit conversion

d. Scientific notation

Correct Answer: b. Precision

Explanation:
A smaller least count allows finer measurements and therefore improves precision.


MCQ No. 213

A student records 3.456789 m using an instrument whose least count is 1 mm. This reading is:

a. Correct

b. Overly precise

c. Too small

d. Too large

Correct Answer: b. Overly precise

Explanation:
A least count of 1 mm = 0.001 m justifies recording measurements only to the nearest 0.001 m.


MCQ No. 214

Which statement best distinguishes accuracy from precision?

a. Accuracy refers to repeatability only.

b. Precision refers to closeness to the true value.

c. Accuracy is closeness to the true value, while precision is the consistency of repeated measurements.

d. Both terms have exactly the same meaning.

Correct Answer: c. Accuracy is closeness to the true value, while precision is the consistency of repeated measurements.

Explanation:
Accuracy concerns correctness, whereas precision concerns consistency.


MCQ No. 215

An equation has identical dimensions on both sides but disagrees with experimental results. The most reasonable conclusion is:

a. The equation is completely correct.

b. The equation passes the dimensional test but fails physical verification.

c. The dimensions are wrong.

d. Experimental data should always be ignored.

Correct Answer: b. The equation passes the dimensional test but fails physical verification.

Explanation:
Experimental verification is essential because dimensional consistency alone is insufficient.


MCQ No. 216

Which physical quantity below is dimensionless but is normally expressed with a named SI unit?

a. Density

b. Plane angle

c. Velocity

d. Force

Correct Answer: b. Plane angle

Explanation:
A plane angle is dimensionless but is expressed in radians (rad).


MCQ No. 217

A student uses a vernier caliper to measure the internal diameter of a glass tube. Which part of the instrument should be used?

a. Outside jaws

b. Depth rod

c. Inside jaws

d. Main scale only

Correct Answer: c. Inside jaws

Explanation:
The inside jaws are specially designed for measuring internal diameters.


MCQ No. 218

A measurement is repeated many times under identical conditions. The average value is expected to be:

a. Less affected by random errors

b. Free from all systematic errors

c. Exactly equal to the true value

d. Independent of the measuring instrument

Correct Answer: a. Less affected by random errors

Explanation:
Averaging reduces the influence of random errors but does not remove systematic errors.


MCQ No. 219

Which of the following would produce the largest percentage uncertainty?

a. 100 ± 1

b. 50 ± 1

c. 20 ± 1

d. 10 ± 1

Correct Answer: d. 10 ± 1

Explanation:

Percentage uncertainty:

  • 100 ± 1 → 1%
  • 50 ± 1 → 2%
  • 20 ± 1 → 5%
  • 10 ± 1 → 10%

MCQ No. 220

Which quantity below has the same dimensions as pressure × volume?

a. Force

b. Momentum

c. Work

d. Velocity

Correct Answer: c. Work

Explanation:
Pressure × Volume = Force × Distance = Work.


MCQ No. 221

A student forgets to subtract the zero error from every measurement. Which quantity is most likely affected?

a. Precision only

b. Accuracy

c. Number of significant figures

d. Scientific notation

Correct Answer: b. Accuracy

Explanation:
Zero error introduces a systematic error that affects the accuracy of all measurements.


MCQ No. 222

Which instrument is most suitable for measuring the depth of a narrow hole?

a. Metre rule

b. Screw gauge

c. Vernier caliper using its depth rod

d. Measuring tape

Correct Answer: c. Vernier caliper using its depth rod

Explanation:
The depth rod of a vernier caliper is specifically designed for measuring depths accurately.


MCQ No. 223

A quantity is proportional to x2y3x^2y^3. If the percentage errors in xx and yy are 2% and 1%, respectively, the percentage error in the quantity is:

a. 3%

b. 5%

c. 7%

d. 8%

Correct Answer: c. 7%

Explanation:

Percentage error

= (2 × 2%) + (3 × 1%)

= 4% + 3%

= 7%


MCQ No. 224

Which characteristic is most important when selecting a measuring instrument?

a. Colour of the instrument

b. Brand name

c. Appropriate least count and measuring range

d. Weight of the instrument

Correct Answer: c. Appropriate least count and measuring range

Explanation:
An instrument should have a suitable measuring range and least count for the quantity being measured.


MCQ No. 225

A scientist chooses SI units because they:

a. Eliminate all experimental errors.

b. Are accepted internationally and provide consistency in measurements.

c. Are used only in physics laboratories.

d. Replace mathematical calculations.

Correct Answer: b. Are accepted internationally and provide consistency in measurements.

Explanation:
The SI system provides a universal standard that ensures consistency and easy communication of scientific measurements worldwide.


MCQ No. 226

A student measures the diameter of a metal sphere using a vernier caliper instead of a micrometer screw gauge. Which statement is most appropriate?

a. The measurement is impossible.

b. The vernier caliper may give an acceptable result, but the screw gauge would generally provide greater precision.

c. The screw gauge cannot measure spherical objects.

d. Both instruments always give identical precision.

Correct Answer: b. The vernier caliper may give an acceptable result, but the screw gauge would generally provide greater precision.

Explanation:
Both instruments can measure the diameter of a sphere, but the micrometer screw gauge has a smaller least count and generally provides a more precise measurement.


MCQ No. 227

Two laboratories measure the same object. Laboratory A reports 15.2 cm, while Laboratory B reports 15.23 cm using a more precise instrument. Which statement is correct?

a. Laboratory A is necessarily wrong.

b. Laboratory B's measurement shows greater precision.

c. Both laboratories must have made errors.

d. Laboratory B's answer is impossible.

Correct Answer: b. Laboratory B's measurement shows greater precision.

Explanation:
A more precise instrument allows measurements to be recorded with additional significant figures.


MCQ No. 228

A student obtains accurate but not precise measurements. This means the readings:

a. Are close to one another but far from the true value.

b. Are close to the true value on average but vary considerably.

c. Are identical in every trial.

d. Have no errors.

Correct Answer: b. Are close to the true value on average but vary considerably.

Explanation:
Accuracy refers to closeness to the true value, whereas precision refers to the consistency of repeated measurements.


MCQ No. 229

Which action would improve both the accuracy and precision of measurements?

a. Ignoring zero error

b. Using a properly calibrated instrument with a smaller least count

c. Recording extra decimal places without justification

d. Taking only one measurement

Correct Answer: b. Using a properly calibrated instrument with a smaller least count

Explanation:
Calibration improves accuracy, while a smaller least count improves precision.


MCQ No. 230

If an equation is dimensionally incorrect, then:

a. It may still be physically correct.

b. It must be physically incorrect.

c. Experimental verification is unnecessary.

d. It becomes a derived unit.

Correct Answer: b. It must be physically incorrect.

Explanation:
A physically valid equation must be dimensionally consistent.


MCQ No. 231

A quantity has dimensions [ML²T⁻³]. It is most likely:

a. Work

b. Force

c. Power

d. Pressure

Correct Answer: c. Power

Explanation:
Power is the rate of doing work and has dimensions [ML²T⁻³].


MCQ No. 232

Which measurement contains an unjustified number of significant figures?

a. 12.3 cm measured with a vernier caliper

b. 0.250 kg measured with an electronic balance

c. 15.6789 cm measured with a metre rule

d. 8.52 mm measured with a screw gauge

Correct Answer: c. 15.6789 cm measured with a metre rule

Explanation:
A metre rule cannot justify such a large number of decimal places.


MCQ No. 233

A student accidentally reads the wrong mark on a scale. This is an example of:

a. Random error

b. Systematic error

c. Gross (human) error

d. Instrumental error

Correct Answer: c. Gross (human) error

Explanation:
Gross errors result from mistakes made by the observer, such as incorrect reading or recording.


MCQ No. 234

Which factor is most important when measuring the diameter of a human hair?

a. Instrument colour

b. Instrument cost

c. Smallest possible least count

d. Instrument weight

Correct Answer: c. Smallest possible least count

Explanation:
Very small dimensions require highly precise measuring instruments.


MCQ No. 235

A measurement is written as 5.40 ± 0.02 cm. The uncertainty indicates:

a. The true value must be exactly 5.40 cm.

b. The true value is expected to lie within the stated range.

c. The instrument has no error.

d. The reading is incorrect.

Correct Answer: b. The true value is expected to lie within the stated range.

Explanation:
The uncertainty expresses the range within which the true value is expected to lie.


MCQ No. 236

A student wants to determine the density of a small metal ball. Which combination of measurements is required?

a. Length and time

b. Mass and volume

c. Force and pressure

d. Energy and power

Correct Answer: b. Mass and volume

Explanation:
Density is calculated using:

Density=MassVolume\text{Density}=\frac{\text{Mass}}{\text{Volume}}

MCQ No. 237

The dimensions of ForceVelocity\frac{\text{Force}}{\text{Velocity}} are:

a. [MT⁻¹]

b. [MLT⁻¹]

c. [ML²T⁻²]

d. [ML⁻¹T⁻²]

Correct Answer: a. [MT⁻¹]

Explanation:

[MLT2][LT1]=[MT1]\frac{[MLT^{-2}]}{[LT^{-1}]} = [MT^{-1}]

MCQ No. 238

Why are SI units preferred in science?

a. They eliminate all uncertainties.

b. They are internationally standardized and simplify communication.

c. They are used only in laboratories.

d. They replace experimental work.

Correct Answer: b. They are internationally standardized and simplify communication.

Explanation:
The SI system provides a common standard used worldwide in science, engineering, medicine, and industry.


MCQ No. 239

If the radius of a sphere is measured with a 1% uncertainty, the percentage uncertainty in its surface area is:

a. 1%

b. 2%

c. 3%

d. 4%

Correct Answer: b. 2%

Explanation:
Surface area is proportional to r2r^2. Therefore, the percentage uncertainty doubles:

2×1%=2%2 \times 1\% = 2\%

MCQ No. 240

A student measures the same quantity several times and finds one reading very different from the others. This reading is most likely:

a. A systematic error

b. A gross error (outlier)

c. A standard unit

d. A derived quantity

Correct Answer: b. A gross error (outlier)

Explanation:
A reading that differs greatly from the rest is often due to a human mistake or unusual circumstance and is considered an outlier.


MCQ No. 241

Which property of a measuring instrument determines the smallest change it can detect?

a. Range

b. Calibration

c. Least count (resolution)

d. Shape

Correct Answer: c. Least count (resolution)

Explanation:
The least count, also called the resolution, is the smallest measurable increment of an instrument.


MCQ No. 242

A student converts 250 cm directly into 0.250 km. The mistake occurred because:

a. The wrong SI prefix was applied.

b. The conversion factor was incorrect.

c. Centimetres must first be converted to metres and then to kilometres.

d. Both b and c.

Correct Answer: d. Both b and c.

Explanation:
Since 250 cm = 2.5 m = 0.0025 km, the student used an incorrect conversion factor.


MCQ No. 243

Which quantity has the same dimensions as pressure × area?

a. Force

b. Energy

c. Power

d. Density

Correct Answer: a. Force

Explanation:

Pressure×Area=ForceArea×Area=Force\text{Pressure} \times \text{Area} = \frac{\text{Force}}{\text{Area}} \times \text{Area} = \text{Force}

MCQ No. 244

A laboratory replaces an old measuring instrument with a digital one having a smaller least count. The main advantage is:

a. Reduced precision

b. Increased precision

c. Elimination of all systematic errors

d. Larger units

Correct Answer: b. Increased precision

Explanation:
A smaller least count enables finer measurements and increases precision.


MCQ No. 245

If two quantities have identical dimensions, they:

a. Must represent the same physical quantity.

b. Must have the same SI unit symbol.

c. May represent different physical quantities.

d. Must be dimensionless.

Correct Answer: c. May represent different physical quantities.

Explanation:
For example, work and torque have the same dimensions but represent different physical concepts.


MCQ No. 246

A student performs an experiment using an instrument with a large zero error but records all readings carefully. Which aspect of the measurements is mainly affected?

a. Precision

b. Accuracy

c. Significant figures

d. Scientific notation

Correct Answer: b. Accuracy

Explanation:
Zero error introduces a systematic error, reducing the accuracy of the measurements.


MCQ No. 247

Why is it important to record the correct unit with every physical quantity?

a. Units increase the numerical value.

b. Units give physical meaning to numerical values.

c. Units reduce random errors.

d. Units remove uncertainty.

Correct Answer: b. Units give physical meaning to numerical values.

Explanation:
A numerical value alone is incomplete without the appropriate unit.


MCQ No. 248

Which statement best summarizes the role of dimensional analysis?

a. It replaces laboratory experiments.

b. It determines all physical constants.

c. It checks dimensional consistency and assists in deriving relationships.

d. It eliminates experimental errors.

Correct Answer: c. It checks dimensional consistency and assists in deriving relationships.

Explanation:
Dimensional analysis is a useful mathematical tool but does not replace experiments or determine dimensionless constants.


MCQ No. 249

The best experimental result is generally obtained by:

a. Taking a single reading from a highly precise instrument.

b. Taking several readings, eliminating obvious outliers when justified, and calculating the average.

c. Ignoring measurements that seem inconvenient.

d. Reporting more decimal places than the instrument allows.

Correct Answer: b. Taking several readings, eliminating obvious outliers when justified, and calculating the average.

Explanation:
Repeated measurements improve reliability by reducing the influence of random errors.


MCQ No. 250

Which statement best reflects the importance of physical quantities and measurement in science?

a. Measurements are useful only in physics laboratories.

b. Accurate measurement forms the foundation of scientific investigation, engineering, medicine, and technology.

c. Units are needed only for examinations.

d. Measurements eliminate all experimental errors.

Correct Answer: b. Accurate measurement forms the foundation of scientific investigation, engineering, medicine, and technology.

Explanation:
Reliable measurements are essential for conducting experiments, testing theories, designing engineering systems, advancing medical technology, and ensuring consistency in scientific communication worldwide.


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